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

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Answer:

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Which expression is equivalent to this: "3 multiplied by z"?

Answers

Answer:

3z

Step-by-step explanation:

When you write a number followed by a variable with no operation in between them, it means multiplication.

3 multiplied by z is 3 * z, but you can write it without the multiplication sign simply as 3z.

What is
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Answers

Answer:

b= = - 7/4 or -1.75

Step-by-step explanation:

14b +21 -2b=0

12b +21=0

12b= -21

b= -21/12

b= - 7/4 or -1.75

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:

first, you have to set this question equal to 0.

7(2b+3)-2b=0

now you have to distribute the 7 to everything inside the parentheses.

14b+21-2b=0

combine like terms

12b+21=0

you can stop here and take this answer if this is the one you want

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Answers

Answer:

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Step-by-step explanation:

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What is the measure of angle XYZ?

Answers

Answer:

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Step-by-step explanation:

D

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does 14, 19, 26 make a right triangle

Answers

Answer:

no one of them has to be 90 degrees

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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]

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Answers

Answer: 35%

Step-by-step explanation:

20 bars

7 unshaded - not installed

7/20 = 0.35 = 35%

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

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

8, 16, 24, 32

i think we can see something

24 is the most common number between them all, so the fractions will be

12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)

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Answer:

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Answer:

expanded form: 5 * 5 * 5

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Step-by-step explanation:

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Simplified form: 48/192=
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Answer:

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Step-by-step explanation:

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Answer:

5

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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

Find:

Side length of cube

Computation:

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

(Side)² = 700 / 6

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Answers

Answer:

(0, -7)

Step-by-step explanation:

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

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(0,-7)

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Answers

Hello, please keep in mind that (x, y)
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X will go left or right
Y will go up or down

Depending if the number is negative or positive determines what way the point should go.
(If the number doesn’t have a “-“ in the beginning it makes it positive which means it either goes up or right depending if it is X or Y)

With that being said 2 will be on the going to the right on the horizontal line and -3 will be going down on the vertical line.

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Answers

Answer:

1/2

Step-by-step explanation:

The slope can be found by looking at the Rise over run or in other words how ever much it moves up over how much it move right.

Answer: 1/2

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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

Step-by-step explanation:

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

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Answers

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Answer:

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Step-by-step explanation:

PLEASE HELP TIMED TEST What is the value of x in the matrix equation below?
3
-21
8
х
10
N
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-1
-7
-4
-3
-1
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Answers

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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From the first row of each matrices

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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.

Because all the dimensions are not equal, the figure cannot be a cube. Both square and rectangular pyramids have 5 faces, unlike this net.

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Good luck ^^

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

Option C is the correct answer.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

From the figure,

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All the open sides are rectangular in shape.

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.

Learn more about prism here:

https://brainly.com/question/12649592

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Is this true or false?

Answers

Answer:

TRUE

Step-by-step explanation:

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

Answers

Answer:

10 inches

Step-by-step explanation:

r=(3V

4π)⅓=(3·4186

4·π)⅓≈9.99778in

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Answers

Answer:

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Step-by-step explanation:

Answer:

120 feet squared.

Step-by-step explanation:

If this is incorrect I apologize but I believe this is the correct answer.

Evaluate the function h(x)=−2x+10 when x=3.

Answers

Answer:

h(x)=4

Step-by-step explanation:

h(x)=−2x+10

h(x)=−2(3)+10

=-6+10

=4

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.

Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
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I will mark you as Brillant if you answer it

Answers

Step-by-step explanation:

Multiply any number with their denominator

0/1×20=0/20

1/1×20= 20/20

Now,

3/20,5/20,6/20,15/20,18/20.....

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