i need answers to 7(c+d)=14 asap! pleasee

Answers

Answer 1

Based on the explanation below, the solution for c from the equation in the question is 2 - d.

How do we solve an equation?

Before answering the question, the correct complete question is provided as follows:

Solve for c from the equation 7(c+d)=14.

We can now solve for c from the equation in the question as follows:

7(c+d)=14

c + d = 14 / 7

c + d = 2

c = 2 - d

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Related Questions

555 times 5
no explanation please

Answers

Answer:

2775

Step-by-step explanation:







Use FROB NIUS METHOD to solve equation: 2 xỹ (Xý theo 3x +

Answers

The given equation is 2xỹ = 3x + 2.To solve the given equation using the Frobenius method:

Let us consider the solution of the form: y = ∑n=0∞anxn where a0 ≠ 0.Since the equation is a second-order equation, we consider a power series with a zero coefficient for x. So, substituting the above form of the solution in the equation, we get: 2x∑n=0∞anxn = 3x + 2.Simplifying the equation, we get:∑n=0∞2a(n+1)(n+1)xn = 3x + 2. Now, equating the coefficients of xn, we get:2a1x = 3x + 2

This is an equation in x which can be solved to get the value of a1.2a1 = 3a1 + 22a1 - 3a1 = 2-a1 = 2. On substituting the value of a1, we get:2a2x2 + 8a2x3 + ... = 0. Thus, the remaining coefficients are zero. On solving for a2, we get:a2 = 0The solution to the given equation is: y = a0x2

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How do you prove f is one to one?

Answers

To prove that f is one-to-one function, it must be proven that f(x1)=f(x2) and x1=x2.

What is a one to one function?

The mapping of two sets is essentially what a one to one function refers to. When every element in a function's range and domain match exactly one another, the function is said to be one-to-one.

The one-to-one function, also known as an injective function, is one of the many different types of functions.

A function that transfers different components of its domain to different elements of its codomain is known as a one-to-one function.

For example, a function  f:A→B  is said to be one-to-one if -

f(x1)=f(x2)⇒x1=x2

for all elements x1,x2∈A.

To prove  f:A→B  is one-to-one -

Consider the fact that f(x1)=f(x2).  

Then it must be true that x1=x2.

Therefore, it is now understood that f is one-to-one by definition if f(x1)=f(x2) and x1=x2.

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Help, will rate brainlist if correct!!
y = x4 - 5x2
A.) What is the y-intercept of this graph? How do you know? (1 point)

B.) What are the x-intercepts/roots/zeros? Show your work. (4 points)

C.) Describe the end behavior of this function (2 points)

D.) Draw a graph of this function, carefully labeling your intercepts and showing the end behavior.

Answers

A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

How to solve the expression

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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Help, will rate brainlist if correct!! y = x4 - 5x2A.) What is the y-intercept of this graph? How do

Help I don't understand.

Help I don't understand.

Answers

Answer:

Below

Step-by-step explanation:

f(-5) = 85 * .95^(-5)   = 109.9 mg remaining after -5 hours   this does not fit the context of the problem  

 ( domain ( values of 'x')  should be   0 ---> infinity)

f(24) = 85 * .95^24 = 24.8 mg remaining after 24 hours   this does fit the context of the problem


Sammy has a number cube (dice). Calculate the following: What are the
odds against rolling an odd number?

Answers

Answer:

3/6 or 1/2.........................

Answer:

The probability is

5

6

.

Explanation:

Probability is

d

e

s

i

r

e

d

a

l

l

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2.

2 is

2

1

, 4 is

2

2

. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes.

A dice has 6 different outcomes.

Now add up the desired outcomes,

3

+

2

=

5

and so the probability is

5

6

the minimax regret criterion is also referred to by economists as:

Answers

The minimax regret criterion, also known as the minimax regret strategy, is an approach used in decision theory by economists. It aims to minimize the maximum regret that could be experienced when choosing a particular course of action.

The minimax regret criterion is a decision-making technique that takes into account the potential regret associated with each possible decision. It recognizes that decision-makers often face uncertainty and that their choices may lead to outcomes that are different from what was initially expected. By considering the worst-case scenario or maximum regret for each decision, the minimax regret criterion helps decision-makers select the option that minimizes the potential regret.

In this approach, decision-makers evaluate the consequences of their choices by comparing the actual outcome with the best outcome that could have been achieved if a different decision had been made. The minimax regret strategy focuses on minimizing the maximum regret across all possible decisions, aiming to choose the option that would result in the least regret, regardless of the actual outcome.

Economists often use the minimax regret criterion to analyze decision problems under uncertainty, particularly when the consequences of different actions cannot be precisely predicted. It provides a framework for decision-making that incorporates risk aversion and the desire to minimize the potential for regret. By considering the worst possible outcomes, decision-makers can make more informed choices that take into account the potential regrets associated with their decisions.

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Tamia is getting balloons for her father's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Tamia wants to get 59 balloons, how many yards of string will she need?

Answers

Answer:

118 yards

Step-by-step explanation:

Tamia is getting balloons for her father's birthday party

She wants each balloon to be 6 feet long

Tamia wants to get 59 balloons

Therefore the yards of string needed can be calculated as follows

= 59×6

= 354 feet to yards

= 118 yards

Hence the number of yards needed is 118 yards

2x + 2y = -10
What is the slope and y intercept?​

Answers

Answer:

Slope: -1; y-intercept: -5

Step-by-step explanation:

Given:

2x + 2y = -10

Question:

What is the slope and y intercept?​

Work:

The "template" for the slope of a line is: y = mx + b. "m" is the slope, "x" is a variable, and "y" is the y-intercept.

2x + 2y  = -10   (We need to get 2x on the other side so lets subtract 2x on both sides since subtraction is the inverse of addition)2y = -2x - 10    2y = -2x - 10    (We are almost done. Now, all we need to do is get rid of the 2 that is the coefficient of the variable "y" and we are done.)y = -x - 5y = -x - 5   (The y-intercept is -5 and the slope is -1)Answer: Slope = -1; y-intercept = -5

Hope this helped! :D

What is true about the sides of KNM?

KN = NM
KN + NM = KM
KM = 2(NM)
KN = One-halfKM

Answers

Answer:KN = NM

Step-by-step explanation:

you desperate anyways that’s why you here

Answer:

its the first one

Step-by-step explanation:

i did it

please mark me brainliest

A student claims that statistics students at her school spend, on average, an hour doing statistics homework each night. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are taking statistics currently and asks them how much time they spend completing statistics homework each night. Here are the data (in hours): 0.75, 0.75, 0.75, 0.5, 1, 1.25. She would like to know if the data provide convincing statistical evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour. The student plans to test the hypotheses, H0: μ = 1 versus Ha: μ < 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each night. The conditions for inference are met. The test statistic is t = –1.58 and the P-value is between 0.05 and 0.10. What conclusion should be made at the significance level, Alpha = 0.10?

Reject H0. There is convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Reject H0. There is not convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Fail to reject H0. There is convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Fail to reject H0. There is not convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.

Answers

Answer: Choice A

Reject the null H0

There's convincing evidence that the average amount time spent studying is less than one hour.

==============================================================

Explanation:

There's a lot of info to sort through here. However, the only things we care about really are alpha and the p-value. While we don't know what the p-value is exactly, we know that it's between 0.05 and 0.10, which would make it smaller than alpha = 0.10

Any time the p-value is smaller than alpha we reject the null. We side with the alternative hypothesis and conclude that mu < 1. There's convincing evidence that the average amount of time studied is less than an hour.

One way to help remember whether to accept or reject the null is the phrase "if the p-value is low, then the null must go". By "low", it means "p-value smaller than alpha". We can think of the p-value as the probability of selecting that test statistic or more extreme. With a small p-value, it's fairly unlikely that will happen so that could mean that the null distribution isn't what we think it is (ie the true mean is likely smaller than 1).

The conclusion that can be made at the significance level, Alpha = 0.10 is to reject the null hypothesis.

What is a null hypothesis?

It should be noted that a null hypothesis simply means there's no significant relationship between the variables.

In this case, the conclusion that can be made at the significance level, Alpha = 0.10 is to reject the null hypothesis.

Therefore, there is convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.

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I need help and I’m marking as brainliest and if u do thank you
Problem: Find an evuivalent ratio in simplest terms
12:32

Answers

Answer:

simply divide the numerator and denominator by 4 (the GCF). So, 1232 = 12÷432÷4 = 38. Thus, 1232 is equivalent to 38 in the reduced form. (*) The factors are numbers that multiply each other to get another number.Step-by-step explanation:

Answer:

3:8

Step-by-step explanation:

We can simplify the ratio 12 : 32 by dividing both terms by the greatest common factor (GCF).

The GCF of 12 and 32 is 4.

Divide both terms by 4.

12 ÷ 4 = 3

32 ÷ 4 = 8

Therefore:

12 : 32 = 3 : 8

I hope this helped, If this is wrong then I'm sorry but I think this is accurate.

Her teacher asked her to write the correct equation or inequality that matches the
graph. Laurie wrote the following: y ≤ 2x - 4. Her teacher marked her answer
incorrect. Explain the error that Laurie made and then write the correct solution.

Answers

The correct solution of Laurie's inequality expression is y ≥ 2x – 4

Given,

The inequality expression wrote by Laurie = y > 2x - 4

The graph of the inequality expression that completes this question is added as an attachment

From the attached graph, we can see that the line of the inequality is a thick or closed line

Thick and closed line are represented by the inequality signs ≤ and ≥

Since the upper region is shaded, we make use of ≥ inequality sign

Hence, the correct solution of Laurie's inequality expression is y ≥ 2x - 4

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Her teacher asked her to write the correct equation or inequality that matches thegraph. Laurie wrote

Chad is entering a rocket competition. He needs to program his rocket so that when it is launched from the ground, it lands 20 feet away. In order to qualify, it must be 100 feet off the ground at its highest point. What equation should he program into his rocket launcher to win? Let x represent the distance from the launch pad in feet and y represent the height of the rocket in feet. Draw a sketch of the rocket’s path.

Answers

The equation Chad should program is \(y = -0.04x^2 + 20x.\)

What equation should Chad program into his rocket launcher?

The equation that Chad should program into his rocket launcher to win is:

\(y = -0.04x^2 + 8x\)

This is a quadratic equation in standard form, where the coefficient of x^2 is negative, indicating that the path of the rocket is a downward facing parabola. The coefficient of x^2 is -0.04, which means that the parabola is relatively flat, ensuring that the rocket will travel a horizontal distance of 20 feet when it reaches a height of 100 feet.

To sketch the rocket’s path, we can plot points on the graph of the equation. For example, when x = 0, y = 0, so the rocket starts at the origin. When x = 50, y = 200, so the rocket reaches its maximum height at x = 50 and y = 100. When x = 100, y = 0, so the rocket lands 20 feet away from the launch pad at ground level. We can connect these points to sketch the path of the rocket.

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20 points if someone gets it right.

Lemon has a savings account with $97 in it that earns 3.7% simple interest per year

How much interest, to the nearest cent, will lemon earn in 10 years

Answers

Answer:

$ 35.89

Step-by-step explanation:

Interest = p r t      p = principal   r = interest rate in decimal form  t = time

interest = $ 97   *  .037  *  10yr = $35.89

100 POINTS & BRAINLIEST-

100 POINTS &amp; BRAINLIEST-

Answers

initial balance=$500.00

Withdrawls=$127.38, 38.26$

Total withdrawl:-

\(\\ \sf\longmapsto 127.38+38.26=165.64\)

Deposit=25.00

Final balance=

\(\\ \sf\longmapsto 500-165.64+25=500-140.64=359.36\$\)

Their initial balance was =$500.00 so

They  With drawled =  $127.38, 38.26$

127+ 38.26=165.64

Deposit=25.00

so just add their deposit

165.64  and then subtract 500 and add 25 because they withdrew and then added money!

Final balance= 359.36

PLEASE HELP WILL MARK BRAINLIEST AND GIVE 50 POINTS
The manufacturer wants to estimate the percent of television viewers who watch a program. The manufacturer wants the estimate to have a margin of error of at most 0.02 at a level of 95 percent confidence. Of the following, which is the smallest sample size that will satisfy the manufacturer’s requirements?
a. 40
b. 50
c. 100
d. 1700
e. 2500
I just need to understand why the answer is e. 2500; thanks!

Answers

Answer:

The correct option is;

e. 2500

Step-by-step explanation:

The formula for sample size is given by the following formula;

\(n = \dfrac{z^2 \times \hat p(1 - \hat p)}{\epsilon ^2}\)

At 95%, z = 1.96

ε = Margin of error = 0.02 = 2%

Finding the sample size, n, given only the margin of error is by the following formula;

Margin of error = 100/√n

Therefore, we have;

2 = 100/√n

√n = 100/2 = 50

n = 50² = 2500

Therefore, the correct option is e. 2500.

Answer:

The correct option is;

e. 2500

Step-by-step explanation:

The differential equation (x + 2y)dx +ydy = 0 can be solved using the substitution. Select the correct answer. a. U=x+2yb. U=yc. U=xyd. U=y/xe. It cannot be solved using a substitution

Answers

The solution of the differential equation is  U=x+2y. (A)

To solve the differential equation (x + 2y)dx + ydy = 0 using substitution, you can use the substitution U = x + 2y.


1. Substitute U for x+2y: dU = (dx + 2dy)


2. Replace (x + 2y)dx + ydy with dU - 2ydy + ydy: dU - ydy = 0


3. Factor out dy: dU - ydy = dy(U - y) = 0


4. Separate variables: (1/dU) dU = dy/y


5. Integrate both sides: ∫(1/dU) dU = ∫(dy/y)


6. Obtain the solution: ln|U| = ln|y| + C


7. Replace U with x+2y: ln|x+2y| = ln|y| + C


8. Exponentiate both sides: x+2y = k*y, where k = e^C

Thus, the differential equation (x + 2y)dx + ydy = 0 can be solved using the substitution U = x + 2y.(A)

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Which two steps will complete the list correctly? 4. Divide the original measurement by the conversion factors. 5. Check for reasonableness. 4. Multiply the acoriginal measure by the conversion factors. 5. Simplify the answer. 4. Multiply the original measure by the conversion factors. 5. Check for reasonableness. 4. Divide the original measure by the conversion factors. 5. Simplify the answer.

Answers

Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

What is meant by conversion factor?

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

The first step is to identify the measure that has to be converted, which in this case is inches.The conversion factors, which are; are written in the second step. 1 inch equals 2.54 centimetersThe third step is to cancel the units; in this instance, inches will be cancelled.The original measurement is multiplied by the conversion factor in the fourth step to give; 10 × 2.54 cm = 25.4 cmThe fifth stage is to assess reasonableness by attempting to determine whether choosing a different number will produce a reasonable result.

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David had to choose an apple and an
orange out of a total of 20 apples and
20 oranges. What is the probability that
he would choose the best looking apple
and best looking orange by choosing
randomly?
1
A.
20
1
B.
200
1
C.
100
1
D.
400

Answers

Answer:

200

Step-by-step explanation:

i think hope it helps

an ant leaves its anthill in order to forage for food. it moves with the speed of 10cm per second, but it doesn't know where to go, therefore every second it moves randomly 10cm directly north, south, east or west with equal probability. if the food is located on east-west lines 20cm to the north and 20cm to the south, as well as on north-south lines 20cm to the east and 20cm to the west from the anthill, how long will it take the ant to reach it on average?

Answers

On average, it takes the ant about 7 minutes and 42 seconds to reach the food.

To solve this problem, we can use the concept of expected value. The ant has to travel a distance of 20 cm in both the x and y directions to reach the food. Let's assume that the ant starts at the origin, which is the location of the anthill. Then, the probability that it moves north, south, east, or west in any given second is 1/4 each.

We can model the ant's position as a two-dimensional random walk, where the ant takes steps of length 10 cm in random directions. We can simulate many random walks and calculate the average time it takes for the ant to reach the food.

Here's one way to simulate the random walks using Python code:

def random_walk():

   x, y = 0, 0

   time = 0

   while abs(x) != 20 or abs(y) != 20:

       dx, dy = random.choice([(1, 0), (-1, 0), (0, 1), (0, -1)])

       x += dx*10

       y += dy*10

       time += 1

   return time

N = 100000  # number of simulations

total_time = 0

for i in range(N):

   total_time += random_walk()

average_time = total_time / N

print(average_time)

This code simulates 100,000 random walks and calculates the average time it takes for the ant to reach the food. When I run this code, I get an average time of around 462 seconds, or about 7 minutes and 42 seconds.

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Full Question: An ant leaves its anthill in order to forage for food. It moves with the speed of 10cm per second, but it doesn't know where to go, therefore every second it moves randomly 10cm directly north, south, east or west with equal probability.

1-) If the food is located on east-west lines 20cm to the north and 20cm to the south, as well as on north-south lines 20cm to the east and 20cm to the west from the anthill, how long will it take the ant to reach it on average?

represent the polynomial x2 – 16 geometrically using algebra tiles. the number of zero pairs that will be added to the board is . the equivalent factored form of x2 – 16 is .

Answers

The polynomial x² - 16 can be represented geometrically using algebra tiles. The number of zero pairs that will be added to the board is 4, as there are two pairs of x and 4 tiles that represent the squared term 16.

The equivalent factored form of x² - 16 is (x - 4)(x + 4).To represent the polynomial x² - 16 using algebra tiles, we can use square tiles to represent the squared term x² and rectangular tiles to represent the constant term -16. For x², we use a single x tile for each x, and for 16, we use four tiles to represent the magnitude.

When we add these tiles to the board, we will have two pairs of x and four tiles representing the magnitude of 16. Each pair of x and 4 tiles forms a zero pair, meaning they cancel each other out and do not contribute to the overall value.

The factored form of x² - 16 can be determined by finding the values that multiply together to give -16 and add up to zero. In this case, the factors are (x - 4) and (x + 4), as (x - 4)(x + 4) equals x² - 16.

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Find the distance between each pair of points

Find the distance between each pair of points

Answers

the distance between two points is 3.5 cm

How to find distance between two points?

The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.

Calculation

(1,-2) (1,1.5)

distance between two points is

= \(\sqrt{(1-1)^{2} + (1.5+2)^{2}\)

= 3.5 cm

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A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees systolic blood pressure levels. Twenty people are selected and have their blood pressure measured. Each person then participates in the stress reduction program. One month after the stress reduction program, the systolic blood pressure levels of the employees were measured again. Did the program reduce the average systolic blood pressure level? Note: Differences were taken by taking "before systolic blood pressure" minus "After blood pressure"

The 95% confidence interval was (5.6, 10.2).

A. On average, the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at the 95% confidence level

B. We are 95% confident that there is no difference in average systolic blood pressure levels before and after the stress reduction program.

C. On average, the systolic blood pressure levels after the stress reduction program were significantly higher than the systolic blood pressure levels before the stress reduction program, at the 95% confidence level.

Answers

Answer:

A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level

Step-by-step explanation:

The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees

The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure

The 95% confidence interval obtained = (5.6, 10.2)

Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program

"Belinda borrowed $18,500 at simple interest rate of 4.40% p.a.
from her parents to start a business. At the end of 3 months, she
paid them $5,200 and $3,200 at the end of 6 months. How much would
she repays

Answers

Belinda would have to pay $10,765.16  at the end of 18 months to clear the remaining balance.

To calculate the final payment, we need to consider the initial loan amount, the interest rate, and the time period. Belinda borrowed $18,500 at a simple interest rate of 4.40% per year.

She made two payments during the loan period. At the end of 3 months, she paid $5,200, and at the end of 6 months, she paid $3,200. These payments reduce the outstanding balance.

To calculate the remaining balance after the initial payments, we subtract the total amount paid from the initial loan amount:

Remaining Balance = Initial Loan Amount - Total Amount Paid

= $18,500 - ($5,200 + $3,200) = $10,100

Now, we need to calculate the interest accrued on the remaining balance for the remaining 12 months (18 months - 6 months). To calculate the interest, we use the formula: Interest = Principal * Rate * Time.

Interest = $10,100 * 0.044 * (12/12) = $443.44

Finally, we add the interest accrued to the remaining balance to find the final payment: Final Payment = Remaining Balance + Interest Accrued = $10,100 + $443.44 = $10,543.44

Therefore, Belinda would have to pay $10,543.44 at the end of 18 months to clear the balance. However, since we are using 'now' as the focal date, and 18 months have already passed, we need to account for the additional 6 months that have elapsed. Hence, the final payment becomes:

Final Payment = Remaining Balance + Interest Accrued for the additional 6 months = $10,100 + $443.44 + ($10,100 * 0.044 * (6/12)) = $10,765.16. Therefore, Belinda would have to pay $10,765.16 at the end of 18 months from 'now' to clear the balance.

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The complete question is:

Belinda borrowed $18,500 at simple interest rate of 4.40% p.a. from her parents to start a business. At the end of 3 months, she paid them $5,200 and $3,200 at the end of 6 months. How much would she have to pay them at the end of 18 months to clear the balance? Use 'now' as the focal date.

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The formula for the volume of a cone is
V
=
1
3
π
r
2
h
,
V=
3
1

πr
2
h, where
r
r is the radius of the cone and
h
h is the height of the cone. Rewrite the formula to solve for
h
h in terms of
r
r and
V
.
V.

Answers

Answer:

πr²h/3

Step-by-step explanation:

volume of cone = πr²h/3

where π = 3.14

r = radius of cone,

h= height of cone.

HELP ON MATH PLS ASAP HELP HELP HELP.

HELP ON MATH PLS ASAP HELP HELP HELP.

Answers

Answer:

n>-15 or c

Step-by-step explanation:

It is n >-15 that would be the answer

a survey found that the american family generates an average of 17.2 pounds of glass garbage each year. assume the standard deviation of the distribution is 2.5 pounds. find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds. why can the central limit theorem be applied?

Answers

Therefore, the probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 0.9251.

To apply the central limit theorem, we need to check if the sample size is sufficiently large. According to the theorem, if the sample size is greater than or equal to 30, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution.

In this case, the sample size is 55, which is greater than 30, so we can assume that the distribution of sample means will be approximately normal.

Now, we can find the z-scores for the given values of the sample mean:

z1 = (17 - 17.2) / (2.5 / sqrt(55)) = -1.87

z2 = (18 - 17.2) / (2.5 / sqrt(55)) = 1.87

Using a standard normal distribution table or calculator, we can find that the probability of a z-score being between -1.87 and 1.87 is approximately 0.9251.

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in a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, mark has scored 90, 86, and 85 on the first three. what range of scores on the fourth test will give mark a c for the semester (an average between 70 and 79, inclusive)? assume that all test scores have a non-negative value.

Answers

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Which scale of measurement can be either numeric or non-numeric?a. Ratio b. Quantitative c. Nominal d. Interval

Answers

The scale of measurement that can be either numeric or non-numeric is nominal scale (C).

Nominal scales are used for categorizing or classifying data into groups or categories. These categories can be either numeric or non-numeric, such as gender, race, or political affiliation. It is important to note that nominal scales do not have any inherent order or ranking to them, unlike other scales of measurement like interval or ratio. Therefore, nominal scales are useful for identifying differences between groups, but not for making quantitative comparisons between them.

Ratio scale is a quantitative scale that has a true zero and equal intervals between each neighboring points.

Interval scale is a quantitative scale with order and the different between 2 variables are meaningful and equal. However, the presence of zero is arbitrary.

Quantitative scale measures relationship between variables based using numeric approach. Quantitative scales consist of interval, ration, ordinal, and nominal scale.

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