10.50 divided by 2.5 = 4. The decimal in 2.5 is moved one space to the right. The decimal in 10.50 is moved 1 space to the right.
Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?

After dividing 25 into 105, the next step is to
25 by 4.
The next step is to
100 from 105.
The next step is to
the next number.
ill give brainliest

Answer:

The approximate time that it will take Mary to save R40000 is 29 years

Step-by-step explanation:

A= p(1+r/n)^nt

t = log(A/P) / n[log(1 + r/n)]

A = R40000

n = 4

P = R400

r = 16%

t = log(A/P) / n[log(1 + r/n)]

= log(40,000 / 400) / 4{log(1+0.16/4)}

= log(100) / 4{log(1+0.04)}

= 2 / 4{log(1.04)}

= 2 / 4(0.0170)

= 2 / 0.068

= 29.41

t = 29.41 years

Approximately 29 years

The approximate time that it will take Mary to save R40000 is 29 years

Answer:

[0,8]

Step-by-step explanation:

The lowest y value is 0

The highest y value is 8

We typically write range in interval notation

Interval notation goes from lowest value to highest value. Therfore the range is;

[0,8]

According to the unbiased expectations theory, the forward rate from today to a future date can be estimated by taking the exponential of the difference between the interest rates. The percentage answer, rounded to two decimal places is 3.08 x \(10^{-13}\) percent.

The unbiased expectations theory is a financial theory that suggests the forward rate for a future date can be determined by considering the difference in interest rates. In this case, we need to calculate the forward rate from today to a future date. The formula for this calculation is \(e^{(-r*t)}\), where "r" represents the interest rate and "t" represents the time period.

In the given question, the interest rate is -32.16. To calculate the forward rate, we need to take the exponential of the negative interest rate. The exponential function is denoted by "e" in mathematical notation. Therefore, the calculation would be \(e^{-32.16}\).

To arrive at the final answer, we can use a calculator or computer software to evaluate the exponential function. The result is approximately 3.0797 x \(10^{-15}\).

To convert this to a percentage, we multiply the result by 100. So, the forward rate from today to the future date, according to the unbiased expectations theory, is approximately 3.08 x \(10^{-13}\) percent.

Please note that the specific date for the future period is not mentioned in the question, so the calculation assumes a generic forward rate calculation from today to any future date.

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Answer:

1/12 a mile

Step-by-step explanation:

Answer:

B. 1/12 is the right answer because you have to times the fraction by the reciprocal because you can't divide a fraction. So, you do 1/3 *1/4 = 1/12

Step-by-step explanation:

have a good day/night

may i please have a branlliest

Step-by-step explanation:

I agree with Trevon because the number and letters are used in different forms but can probably be solved in the same way

Answer:

second option

Step-by-step explanation:

Given the 2 equations

y = \(\frac{2}{3}\) x + 2 → (1)

6x - 4y = - 10 → (2)

Substitute y = \(\frac{2}{3}\) x + 2 into (2)

6x - 4(\(\frac{2}{3}\) x + 2) = - 10 ← distribute parenthesis and simplify left side

6x - \(\frac{8}{3}\) x - 8 = - 10 ( multiply through by 3 to clear the fraction )

18x - 8x - 24 = - 30

10x - 24 = - 30 ( add 24 to both sides )

10x = - 6 ( divide both sides by 10 )

x = - 0.6

Substitute x = - 0.6 into (1) and evaluate for y

y = \(\frac{2}{3}\) × - 0.6 + 2 = 2x × - 0.2 + 2 = - 0.4 + 2 = 1.6

One Solution is (- 0.6, 1. 6 )

The value of y which the slope formula  is 34.

Slope can be defined as the rate of change of a body.

To calculate the value of y, we use the formula below.

Formula:

Where:

From the question,

Substitute these values into equation 1 and solve for y

Hence, the value of y is 34.

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Answer: e, a, f, c

Step-by-step explanation:

v evenly cuts through line tv and line VS. you can tell because the single line on each side....... rest should be correct

The value of f(g(x)) is x^2 + 1/x

A function is an expression that describes the relationship between an independent variable and dependent variable.

Given the functions;

f(x) =

\( \sqrt[3]{x} \)

g(x) =

\( \frac{ x+ 1}{ {x}^{3} } \)

How to determine the function

Substitute the value do x as the value of the function g(x)

f(g(x)) =

\( \sqrt[3]{ \frac{x + 1}{ {x}^{3} } } \)

Find the cube root of the expression

f(g(x)) =

\( \frac{ {x}^{3} + {1}^{3} }{x} \)

Find the cube of the values

f(g(x)) =

\( \frac{ {x}^{3} + 1 }{x} \)

Divide through by x, we have;

f(g(x)) = x^2 + 1/x

Thus, the value of f(g(x)) is x^2 + 1/x

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Answer:

AEF=110

DEF=70

CFE=30

Step-by-step explanation: Brainliest please

If you want work just lemme know

a. As time increases, the height function h = g(t) is expected to increase gradually. Since the formula for g(t) is (t/π)^(1/3), it indicates that the depth of the water is directly proportional to the cube root of time. Therefore, as time increases, the cube root of time will also increase, resulting in a greater depth of water in the tank.

b. To compute the average value of V(t) on the given intervals, we need to find the change in volume divided by the change in time. The average value AV(a, b) is given by AV(a, b) = (V(b) - V(a))/(b - a).

AV(0,2):

V(0) = 0 (initially empty tank)

V(2) = 0.75 * 2 = 1.5 cubic feet (constant filling rate)

AV(0,2) = (1.5 - 0)/(2 - 0) = 0.75 cubic feet per minute

AV[2,4]:

V(2) = 1.5 cubic feet (end of previous interval)

V(4) = 0.75 * 4 = 3 cubic feet

AV[2,4] = (3 - 1.5)/(4 - 2) = 0.75 cubic feet per minute

AV[4,6]:

V(4) = 3 cubic feet (end of previous interval)

V(6) = 0.75 * 6 = 4.5 cubic feet

AV[4,6] = (4.5 - 3)/(6 - 4) = 0.75 cubic feet per minute

c. To determine an interval [a, b] on which AV(a,b) = 2 feet per minute, we need to find a range of time during which the volume increases by 2 cubic feet per minute. However, since the volume function is not explicitly given and we only have the height function, we cannot directly compute the average rate of change of volume. Therefore, we cannot determine an interval [a, b] where AV(a, b) = 2 feet per minute based solely on the height function.

d. Although we don't have a formula for the volume function f(t), we can still determine the average rate of change of volume on the intervals [0, 2], [2, 4], and [4, 6]. This can be done by calculating the change in volume divided by the change in time, similar to how we computed the average value for the height function. The average rate of change of volume represents the average filling rate of the tank over a specific time interval.

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Answer:

Step-by-step explanation:

x = 16

Answer:

x = 16

Step-by-step explanation:

If 3 · 16 = 48 Then x = 16

Answer:

6/20 chance or a 3/10(same thing )

Step-by-step explanation:

there are 20 numbers and only six of the are over 7 making a 6/20 chance or 3/10

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Answer: 125.00$

Step-by-step explanation:

the answers in the question

Answer: $62.50

Step-by-step explanation:

125/2=62.50

The simple interest rate that will ensure that Bob's investment of R6,500 equals Alice's 3% compound interest per year investment is 3.2%.

The difference between simple interest and compound interest is that simple interest computes interest on the principal only for each period.

Compound interest computes interest on both the principal and accumulated interest for each period.

Alice:

Principal investment = R6,500

Compound interest rate per year = 3%

Investment period = 5years

Future value = R7,535.28 (R6,500 x 1.03⁵)

Total Interest R1,035.28 (R7,535.28 - R6,500)

Bob:

Principal invested = R6,500

The simple interest rate = r

Investment period = 5years

The future value of the simple interest investment, A = P(1+rt)

7,535.28 = 6,500(1 + 5r)

Dividing each side b 6,500:

1.15927 = (1 + 5r)

5r = 0.15927

r = 0.031854

r - 0.032

r = 3.2% (0.32 x 100)

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Calculate r, giving your answer correct to 1 decimal place.

Answer:  your equation is poorly written/wrong hence I used the equation below

answer :  $289156.63

Step-by-step explanation:

applying the formula to calculate monthly repayment of Mortgage

M = P [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]  -----  ( 1 )

M = Total monthly payment = 800 * 12 * 30 = $ 288,000

P = ?

r = 5.2% / 12 = 0.4%

n = 30 * 12 = 360 months

Back to equation 1

P = M / [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]

   = 288000 / [ 0.004 ( 1.004)^360 / (( 1.004)^360 ) - 1 ) ]

   = 288,000 / -0.996  =  - $289156.63 ( It has a negative value because It is a loan borrowed )

Answer:

45 degrees

Step-by-step explanation:

when an angle is bisected both angles formed are equal, so 90/2=45

Answer:

from last question,

x = 25

25 + 15 = 40

It would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

To calculate the time it will take to pay off a credit card balance, we need to consider the interest rate, the balance, and the monthly payment. In your question, you mentioned an annual interest rate of 18% and a monthly payment of $55.

First, let's convert the annual interest rate to a monthly interest rate. We divide the annual interest rate by 12 (the number of months in a year) and convert it to a decimal:

Monthly interest rate = (18% / 12) / 100 = 0.015

Next, we can calculate the number of months it will take to pay off the balance. Let's assume there are no additional charges or fees added to the balance:

Balance = $3052.41

Monthly payment = $55

To determine the time in months, we'll use the formula:

Number of months = log((Monthly payment / Monthly interest rate) / (Monthly payment / Monthly interest rate - Balance))

Using this formula, the calculation would be:

Number of months = log((55 / 0.015) / (55 / 0.015 - 3052.41))

Calculating this equation gives us approximately 140.3 months.

Since we want to find the number of years, we divide the number of months by 12:

Number of years = 140.3 months / 12 months/year ≈ 11.7 years

Therefore, it would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

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Answer:

x+10

Step-by-step explanation:

f(x) = (x+3)^2 and g(x) = sqrt(x)+7

g(f(x)) =

Replace f(x) in for x in the function g(x)

        = sqrt((x+3)^2)+7

        = x+3 +7

         = x+10

Answer:12/7

Step-by-step explanation:

4/7÷1/3=12/7

Answer:

D. Experimentation, Addiction, Tolerance, Recovery

Explanation:

First all the drug addicts try the drug, also refereed as experimentation.

Then they soon get addicted to it because it contains harmful substances attracting it and cannot control themselves.

Then tolerance which means, endure pain and resist from taking the drug.

Then the person gradually recovers and starts living off without the drug.

The area of figure is 272.52 square units.

The given figure consist:

A parallelogram of,

length = 12

width   = 18

Since we know that,

Area of parallelogram  = length x width

                                      = 12 x 18

                                      = 216 square units

And it consist of a semicircle of,

radius = 12/2

          = 6

Since we know that,

Area of semicircle is = πr²/2

                                  = 3.14 x 6 x 6/2

                                  = 56.52 square units

Thus,

The area of figure is sum of both areas,

⇒ 216 + 56.52

Hence, area is

⇒ 272.52 square units

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Remember that

The length of the diagonal of the inscribed square is equal to two times the radius of the circle

In this problem

The radius is 2 units

therefore

The length of the diagonal is 4 units

Answer:

(x + 8) (x - 8)

Step-by-step explanation:

To factorise the expression follow the steps:

Think the factorising means you want like:-

  ( x + _ ) ( x + _ )

Now, add the numbers to get 0 & multiple together to get -64

 -64 = 8 x -8

 8 + -8 = 0

Now fill the numbers in the factorising mean which will give you,

( x + _ ) ( x + _ ) --> ( x + 8 ) ( x - 8 )

Therefore, the answer will be: ( x + 8 ) ( x - 8 )

I hope this will help you :)

Answer:

b

Step-by-step explanation:

Answer:

6.33

Step-by-step explanation:

you welcome ma'am

Answer:

x < -7

Step-by-step explanation:

The circle is open meaning -7 is not included in the answer