Part E
After how many years will the investment have a value of less than $2,000?

Answer:

I believe the slope of question 6 is zero

Step-by-step explanation: This is becaucse it horizontal to the y-axis

Answer:

the answer to that is =(-2,0) , because when you draw your graph you can see where the curve touches, the x axis on -2 and 0.

Answer:

(- 2, 0 ) and (0, 0 )

Step-by-step explanation:

The x- intercepts are where the graph intersects with the x- axis.

Here, there are 2 points where the graph crosses the x- axis, that is

(- 2, 0 ) and (0, 0 )

Answer:

2 1/6

Step-by-step explanation:

3 1/2- 1 1/3

Answer:

2 1/6 ft. long

Step-by-step explanation:

You have to find a common denominator for the fractions which in this case is 6. You have to do whatever you do to the bottom to the top so since 3 x 2 is 6 and 2 x 3 is 6 the fractions change. They become 3 3/6 and 1 2/6. You subtract the fractions and get 1/6, then subtract the whole numbers that will be 3-1 and that equals 2 so your final equation is 3 1/2 - 1 1/3= 2 1/6. So the other piece of rope is 2 1/6 feet long.

The given series is convergent, and its sum is approximately 0.1524.

To determine whether the series ∑n=1∞ 1/(9+\(e^{(-n)}\)) is convergent or divergent, we can use the comparison test with the series 1/n.

Since for all n, \(e^{(-n)}\) > 0, we have \(9 + e^{(-n)}\) > 9, and so \(1/(9+e^{(-n)})\) < 1/9.

Now, we can compare the given series with the series ∑n=1∞ 1/9, which is a convergent p-series with p=1.

By the comparison test, since the terms of the given series are smaller than those of the convergent series 1/9, the given series must also converge.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S = a/(1-r)

where a is the first term and r is the common ratio. In this case, the first term is 1/10 (since \(e^{(-1)}\) is very small compared to 9.

We can approximate \(9+e^{(-n)}\) as 9 for large n), and the common ratio is \(e^{(-1)} < 1\). Therefore, the sum of the series is:

S = (1/10)/(1 - \(e^{(-1)}\)) = (1/10)/(1 - 0.3679) ≈ 0.1524

Therefore, the given series is convergent, and its sum is approximately 0.1524.

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Answer:

No

Step-by-step explanation:

She will have made $69,717.37

Please mark brainlest

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:its b and e i think

Step-by-step explanation:

a) The cash deposit (down payment) that Melitha paid is R1,200.

b) The total amount (sum of periodic payments) that Melitha paid over 3 years is R12,094.20.

c) The monthly installment Melitha made is R335.95.

d) The total amount that Melitha paid for the music system is R13,294.20, including the total installments and initial deposit.

The down payment is the initial cash deposit made for the purchase of an item on credit.

The down payment provides financial evidence of the transaction and testifies about the borrower's ability to undertake the credit arrangement.

a) Cash deposit = R1,200 (R12,000 x 10%)

N (# of periods) = 36 months

I/Y (Interest per year) = 7.5%

PV (Present Value) = R10,800 (R12,000 - R1,200)

FV (Future Value) = R0

Results:

Monthly Payment (PMT) = R335.95

Sum of all periodic payments = R12,094.20

Total Interest = R1,294.20

Total amount paid for the music system = R13,294.20 (R1,200 + R12,094.20)

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Answer:

\(5^{10} \cdot 5^{-7} = 5^3\)

\(\frac{5^{10}}{5^{-7}} = 5^{17}\)

Step-by-step explanation:

You have two equations:

\(5^a \cdot 5^b = 5^3\)

\(\frac{5^a}{5^b} = 5^{17}\)

But since

\(x^a \cdot x^b = x^{a+b}\)

you only need to solve a+b = 3 and a-b=17

Rewrite the second as a = 17+b and plug it into the first:

17+b + b = 3, then you find, 2b = -14, so b = -7.

Then a=3-b, so a = 10.

The approximate area of the unshaded region under the standard normal curve is 0.18 the option third is correct.

It is given that the standard normal curve shows the shaded area in the curve.

It is required to find the approximate area of the unshaded region under the standard normal curve.

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

In the curve showing the shaded region area between:

\(\rm P(-2\leq Z\leq 1)\)

First, we calculate the shaded region area:

From the table given the value of Ф(1) = 0.8413.

The value of Ф(2) = 0.9772

Since the curve is symmetrical

Ф(-2) = 1 - 0.9772 ⇒ 0.0228

The shaded region area:

\(\rm P(-2\leq Z\leq 1)\) = Ф(1) - Ф(-2) ⇒ 0.8413 - 0.0228  ⇒ 0.8185

To calculate the area of the unshaded region:

= 1 - The shaded region area

= 1 - 0.8185

= 0.1815  ≈ 0.18

Thus the approximate area of the unshaded region under the standard normal curve is 0.18 the option third is correct.

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Answer:

the area of the unshaded region is 0.1815 is the c option.

Step-by-step explanation:

The intercept in a regression equation is the point where the regression line intersects with the y-axis. In the context of hurricane wind speed and central pressure, the intercept represents the predicted value of the dependent variable (wind speed) when the independent variable (central pressure) is zero.

However, this interpretation is not necessarily meaningful in this context, as it is unlikely for the central pressure of a hurricane to be exactly zero. Instead, the intercept can be interpreted as the average predicted wind speed when central pressure is at its minimum or near its minimum (i.e., the closest value to zero in the data set). It is important to note that this interpretation assumes that the relationship between wind speed and central pressure is linear, and that the range of central pressure values in the data set is sufficiently close to zero to make this interpretation meaningful. If the relationship is not linear or if the range of central pressure values is far from zero, the intercept may not have a meaningful interpretation in the context of the data.

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After 5 months the total cost at each health club be the same.

Given that, club A offers membership for a fee of $40 plus a monthly fee of $25.

Let the number of months be x.

Membership fee of club A = 40+25x ------(i)

Club B offers a membership fee of $15 plus a monthly fee of $30.

Membership fee of club B = 15+30x

The total cost at each health club be the same

40+25x = 15+30x

30x-25x=40-15

5x=25

x=25/5

x=5

Therefore, after 5 months the total cost at each health club be the same.

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"Your question is incomplete, probably the complete question/missing part is:"

You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers a membership fee of $15 plus a monthly fee of $30.

Using variables of your choice, set-up an equation for each club’s membership cost. Make sure your variables are defined clearly.

After how many months will the total cost at each health club be the same?

Answer:

80miles

Step-by-step explanation:

Area of a square grid = L²

L is the side length of the grid

Given that Area of the square = 400mi square

400 = L²

L =√400

L = 20miles

To get the number of miles travelled, we will find its perimeter

P = 4L

P = 4(20)

P = 80miles

Hence Jacob's family travels 80miles

Answer:

Step-by-step explanation:

x

=

−

24

y

=

10

Explanation:

x

+

4

y

=

16

2

x

−

4

y

=

8

Subtract the bottom equation from the top one so the

+

4

y

and

−

4

y

cancel each other out.

−

x

=

24

x

=

−

24

x

+

4

y

=

16

−

24

+

4

y

=

16

4

y

=

40

y

=

10

Answer:

jdiejrkduebrhfjdidudjdidudheisuydudud

Step-by-step explanation:

ieejknhsjd

dhsjeuedieiwjwuejxofi 36

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

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Answer:

14.82

Step-by-step explanation:

Step-by-step explanation:

= -4(-5(7 - 13) - 19)2(-1)

= -4(-5(-6) - 19)(-2)

= -4(30 - 19)(-2)

= -4(11)(-2)

= (-44) × (-2)

= 88

The value of the given expression is -392.

The given expression is -4[-5(7-13)-19]2(-1).

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, -4[-5(7-13)-19]2(-1)

= -4[-5(-6)-19]2(-1)

= -4[-30-19]2(-1)

= -4 (-49)(-2)

= -4(98)

= -392

Therefore, the value of the given expression is -392.

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The largest possible value of p can be determined by analysing the ratio of the volumes of the two rectangular boxes.

The volume of the first box is V1 = m*p*n and the volume of the second box is \($V2 = (m2)\cdot (n2)\cdot (p2)$\). Therefore, we can set up the following equation to solve for p:

\($\frac{V1}{V2} = \frac{mnp}{(m2)(n2)(p2)} = \frac{1}{2}$\)

Solving for p gives us the following:

\($p = \sqrt[3]{\frac{2(m2)(n2)}{mn}}$\)

Since m, n, and p must all be integers, the largest possible value of p is the largest integer such that

\($p \le \sqrt[3]{\frac{2(m2)(n2)}{mn}}$.\)

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Answer:  y = 1/4 x - 3 1/2

Step-by-step explanation:  Slope-intercept form is y = mx + b

Distribute the 1/4(x-2)

y + 3 = 1/4 x - 1/2   Subtract 3 from both sides

y = 1/4 x -3 1/2

Answer: i think C

Step-by-step explanation: Well the X Value would have to change because if you graphed it it would be a straight line going up which wouldnt pass a through a vertical line.

Answer:

x = -19

Step-by-step explanation:

hope this help :)

Answer:

\(\boxed {x = -19}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(-4(x + 1) - 3 = -3(x - 4)\)

-Use Distributive Property to both sides of the equation:

\(-4(x + 1) - 3 = -3(x - 4)\)

\(-4x - 4 - 3 = -3x + 12\)

-Combine like terms:

\(-4x - 4 - 3 = -3x + 12\)

\(-4x - 7 = -3x + 12\)

-Take \(-3x\) and add it to \(-4x\):

\(-4x - 7 + 3x = -3x + 3x + 12\)

\(-x - 7 = 12\)

-Add both sides by \(7\):

\(-x - 7 + 7 = 12 + 7\)

\(-x = 19\)

-To make the variable \(x\) positive, divide both sides by \(-1\):

\(\frac{-x}{-1} = \frac{19}{-1}\)

\(\boxed {x = -19}\)

Therefore, the value of \(x\) is \(-19\).

Answer: 0.25

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

multiply by the recipricol

3x 4/3

3's cancel eachother out

answer is 4

Answer:

516 38/60+ 3/200= oo.15

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

Explanation:

Check out the diagram below.

Segment BD cuts angle EBC in half

So the two smaller pieces DBC and DBE are congruent. Let's call them x.

Let's make y = angle EBA.

Note how the diagram shows the angles x, x, and y forming a straight angle. So we can say

x+x+y = 180

2x+y = 180

y = -2x+180

We'll use this later.

For now, focus on triangle DEB. Angle E is 90 degrees and angle B is x.

D+E+B = 180

28+90+x = 180

x+118 = 180

x = 180-118

x = 62

Which means

y = -2x+180

y = -2*62+180

y = -124+180

y = 56

Now focus on triangle BEA. We have B = 56, E = 90 and A = z

B+E+A = 180

56+90+z = 180

146+z = 180

z = 180-146

z = 34

which is the measure of angle A.

If the shape of the distribution in this population is negatively skewed, then the shape of the sampling distribution of sample variances is also negatively skewed.

The sampling distribution refers to the distribution of a statistic for all possible random samples drawn from the same population. The shape of the sampling distribution of the sample variance is related to the shape of the original population. The sample variance measures the amount of variation or dispersion within the sample.

The sampling distribution of sample variances is also known as the chi-square distribution. The distribution of sample variances approaches a chi-square distribution as the sample size increases. Therefore, if the shape of the distribution in this population is negatively skewed, the shape of the sampling distribution of sample variances is also negatively skewed.

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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