max is a 22 year old planning to retire at age 67 he is i vesting in a mutual fund and hopes to earn the average inflation adjusted stock market return of 7% anually. If max deposits $200 per month into this fund, how much can he expect to have when he retires? Show work

Answers

Answer 1

Based on the calculation below, the amount Max can be expected to have when he retires is $758,518.94.

How to calculate the future value (FV)?

The amount he will be expected to have when he retires can be calculated using the formula for calculating the future value of an ordinary annuity as follows:

FV = D * (((1 + r)^n – 1) / r) ……………………………….. (1)

Where;

FV = Future value or the expected amount when he retires = ?

D = Monthly deposit = $200

r = monthly average inflation adjusted stock market return = 7% / 12 = 0.07 / 12 = 0.00583333333333333

n = number of months = (67 -  22) * 12 = 540

Substituting the values into equation (1), we have:

FV = $200 * (((1 + 0.00583333333333333)^540 – 1) / 0.00583333333333333)

FV = $758,518.94

Learn more about future value here: https://brainly.com/question/14586629.

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Salim has a flock of 300 chickens, 15% of which are infected with a virus. He plans on taking an SRS of 7
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(7/4)(0.15)^4(0.85)^3

Step-by-step explanation:

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Step-by-step explanation:

Multiply any number with their denominator

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1/1×20= 20/20

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Simplified form: 48/192=
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If the lengths of two sides of a triangle are 3 and 4, which could be the length of the third side?​

Answers

Answer: It’s 5 if it’s the two legs

Step-by-step explanation:

Use the Pythagorean Theorem

You will use a2+b2=c2 plug in 3 and 4 for a and b no it does not matter what order and you
Answer: 5

What is the measure of angle XYZ?

Answers

Answer:

D

Step-by-step explanation:

D

[tex]angle \: xyz = \frac{1}{2} arc \: xz[/tex]

What three-dimensional figure is represented by the net shown below?
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Answers

Answer:

C

Step-by-step explanation:

The net, if you imagine it folded up, will look like a long box.

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From the figure,

We see that it is an open rectangular prism.

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If we fold all the sides it will form a rectangular prism.

Thus,

The three-dimensional figure represented by the net shown below is a rectangular prism.

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https://brainly.com/question/12649592

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what is the least common denominator of 1/2, 2/3, and 3/8

Answers

Answer: 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

For the least common denominator, we have to find the smallest number that all fo them multiply to.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26

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Answer:

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Step-by-step explanation:

h(x)=−2x+10

h(x)=−2(3)+10

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What is the radius of a sphere with a volume of 4186 in3 to the nearest tenth of an inch?

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

i dont know what you neccesarily want but here are two answers b=-7/4 or -1 3/4 other answer is 12b+21

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

3z

Step-by-step explanation:

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Answers

Hello, please keep in mind that (x, y)
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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

x = 1

Step-by-step explanation:

Given the matrix;

[tex]-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right][/tex]

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The surface area S of a cube with the side length a is given by the formula S=6a^2. Find the side length of a cube with the Surface are of 700 square inches. Round to the nearest integer

Answers

Answer:

Side length of cube = 10.80 inch (Approx.)

Step-by-step explanation:

Given:

Surface area of cube = 700 square inches

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Side length of cube

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We know that all sides of cube are equal

Surface are of cube = 6(Side)²

By putting 700 as surface are of cube in the formula;

700 = 6(Side)²

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There are six professors teaching the introductory discrete mathematics class at a university. The same final exam is given by all six professors. If the lowest possible score on the final is 0 and the highest possible score is 100, how many students must there be to guarantee that there are two students with the same professor who earned the same final examination score

Answers

Answer:

607 students

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To solve this question means we have to use Pigenhole principle which states that if y number of items are put into z number of containers, with y > z, then it means that that at least one container must definitely contain more than one item.

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If possible scores are from 0 to 100 with both inclusive it means number of possible scores = 101.

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The number of students would have to be = 101 + 1 = 102 students

Meanwhile, for each student, since there are 6 professors, the possible combination for a score will be = 6 possible combinations.

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Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4

Answers

Answer:

[tex]3d^2+ 7d- 7[/tex]

Step-by-step explanation:

Given

[tex]P_1 = 5d^2 + 4d - 3[/tex]

[tex]P_2 = 2d^2 - 3d + 4[/tex]

Required

P1 less P2

This means that we subtract P2 from P1.

So, we have:

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]

Remove bracket

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]

Collect like terms

[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]

[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]

The difference is: [tex]3d^2+ 7d- 7[/tex]

Is this true or false?

Answers

Answer:

TRUE

Step-by-step explanation:

Which ordered pair represents the y-intercept of the graph of the equation y = - 4 x - 7 ?​

Answers

Answer:

(0, -7)

Step-by-step explanation:

Since -4x is the slope, then -7 is the y-intercept.

For finding y intercept we substitute x=0

y = -7

The ordered pair would be

(0,-7)

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The scale used on a map is 1 inch = 44 miles. How many miles does 9 inches on the map represent​

Answers

Answer:

9 inches on the map represents 396 miles.

Step-by-step explanation:

Here let's convert 44 miles to inches.

44 miles is 2787840 inches.

So according to the map, 1 inch = 2787840 inches.

We need to multiply both of these values by 9 to find out how many miles 9 inches represents.

1 inch = 2787840 inches

1 * 9 inches = 2787840 * 9 inches

9 inches = 25090560 inches.

Then convert back to miles.

25090560 inches = 396 miles.

That means, 9 inches on the map represents 396 miles.

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