Grayson is behind on his retirement savings and wants to start saving $1,000 per month so he can retire in 20 years. If he earns 9% a year, compounded monthly, how much money will Grayson have to retire? $622,447 $667,887 $684,254 $724,333

Answers

Answer 1

If Grayson begins saving $1,000 per month and makes 9% a year, compounded monthly, he will have $667,887 in retirement. Therefore, $667,887 is the correct number.

Future Value: What Is It?

A financial notion known as future value (FV) gives a worth to an asset based on anticipated factors like future interest rates and cashflows. Knowing how much their money might be in five years, given an anticipated rate of return, may be helpful for an investor. Future value is the idea of taking the investment's current worth, adding anticipated development, and estimating what the investment is going to cost in the future.

To calculate the amount of money Grayson will have at retirement, we can use the formula for the future value of an annuity:

FV = Pmt x (((1 + r/n)^(n*t)) - 1) / (r/n)

where:

FV is the future value of the annuity (i.e., the amount Grayson will have at retirement)

Pmt is the monthly payment ($1,000 in this case)

r is the annual interest rate (9% in this case)

The number of annual increasing times is n. (12 for monthly compounding)

t is the number of years (20 in this case)

Plugging in the numbers, we get:

FV = 1000 x (((1 + 0.09/12)⁽¹²*²⁰⁾) - 1) / (0.09/12)

FV = $667,887.20

Therefore, Grayson will have $667,887 at retirement if he starts saving $1,000 per month and earns 9% a year, compounded monthly. Therefore, the answer is $667,887.

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Related Questions

Find the range of f given the domain
= {-2, 0, 5, 9}

Answers

Answer:

The range to {-2, 0, 5, 9} is 11

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 9 − − 2 = 11 .

11

I hope this helps

what is 27x18= i dont know it

Answers

The answer is 486. (You can type into a calculator, and if you don’t have a physical one you can always search for an online calculator.)

Last August, the Martin family paid 75 for home owners association fee in February,they paid 54 what is the percent of decrease

Answers

Answer:

21% decrease

Step-by-step explanation:

just took 75 _ 54 and came up with 21 and juat added the % to it

Sam invests a sum of money in a retirement account with a fixed annual interest rate of 7%
compounded quarterly. After 13 years, the balance reaches $19,280.02. What was the amount of
the initial investment? ROUND YOUR ANSWER TO THE NEAREST DOLLAR (do NOT put a dollar
sign $ in your answer)

Answers

Answer:

The initial amount of investment was $7,822

Step-by-step explanation:

The formula for compound interest, including principal sum is:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where

A is the future value of the investment/loan, including interestP is the principal investment amount  r is the annual interest rate (decimal)n is the number of times that interest is compounded per unit tt is the time the money is invested or borrowed for

Let us use this rule to solve the question

∵ Sam invests a sum of money in a retirement account with a fixed

   annual interest rate of 7% compounded quarterly

r = 7% = [tex]\frac{7}{100}[/tex] = 0.07

n = 4 ⇒ compounded quarterly

∵ After 13 years, the balance reaches $19,280.02

A = 19,280.02

t = 13

Substitute these values in the rule above to find P

∵ [tex]19,280.02=P(1+\frac{0.07}{4})^{4(13)}[/tex]

∴ [tex]19,280.02=P(1.0175)^{52}[/tex]

→ Divide both sides by [tex](1.0175)^{52}[/tex]

∴ 7,821.99888 = P

→ Round it to the nearest dollar

∴ 7,822 = P

P = $7,822

The initial amount of investment was $7,822.

What is 30 ÷ 2334565

Answers

Answer:

In decimal form: 0.0000128503597

Other formats:

In scientific notation: 1.2850357x[tex]10^{-5}[/tex]

Answer:

0.0000128504

Step-by-step explanation:

per mycalculator

30÷2,334,565

How do functions and slopes work i dont understand anything work?

Answers

Slope shows both steepness and direction. With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right. If two linear functions have the same slope they are parallel.

In which pair of figures can Figure A be taken to Figure B by a rotatio

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Answer:

Step-by-step explanation:

I don’t think you added a picture

The Commutative and Associative Properties are valid or true in both
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A.True
B. False

Answers

Answer:

I think its Yes

If a slice of pizza costs $1.50 and you get 5 slices, how much do you
pay?

Answers

Answer:

It cost $7.5 of five slice

Determine if 0.7653765376537653 is rational or irrational and give a reason for your answer.

Answers

Answer:Yes it is a rational number

Step-by-step explanation: Because any number that repeats is rational <!>Brainiest Appreciated<!>

During a period of extreme cold, the average daily temperature dropped decreased by 1. Feach day. How many days did it take for the temperature to
decrease by 9 F? Which equation would you use to find the solution?

Answers

Answer:

The answer is 9 days

Step-by-step explanation:

First, we realise

-1.F = 1 day

-9.F = 9 days

The -1.F times 9 gives us one so the days times 9 as well.

Answer = 9

If I multiply
number by 4 and then add 5
the answer is
8. Find this number

Answers

.75 is the answer to this equation
o.75 is the answer to your question

Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many people can Mr. Gaines afford to feed on a budget of $1,850.00

Answers

Answer: 300 people

Step-by-step explanation:

From the question, we are informed that Mr. Gaines is catering his company picnic and he will pay $18.45 for 3 people to eat the barbecue lunch. This means the cost per person will be:

= $18.45/3

= $6.15

For $1850, the number of people that Me Gaines can feed will be:

= $1850/$6.15

= 300 people

What is the slope of this equation?y= -1/2x −3 Question 2 options: 0 -3 -1/2

Answers

Answer:

-1/2

Step-by-step explanation:

In the equation y=mx+b..

y and x are the coordinates that go into your function

m is the slope

and b is the y intercept

looking at y=-1/2x-3 i can tell that -1/2 is in the place of m which is slope, and -3 is the y intercept.

The distance in meters, d, that Josefina walks over time in minutes, t, is given by this equation.

d=100t
How many meters does Josefina walk per minute?

Answers

Answer:

She walks 100 m in 1 minute

Step-by-step explanation:

Here, given the equation, we want to know the distance covered in a minute

From the question, the equation is;

d = 100t

so when t is 1

d = 100 * 1 = 100 m

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Marie can find the volume of a cube by using the formula V = s ³, where s represents the side length of the cube. If Marie’s cube has a side length of 2 and 1/2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction AND a decimal.

Answers

Answer:

8 x 4(7x) x^9

Step-by-step explanation

JUST TAKE THE ANSWER FSBXNFDCDWRGTCHVBHGFDCCFVGHGFVC VBHYREWSZEDXCFGTGVBHJUKJMK

Which of the following are equations for the line shown below? Check all that apply.
A y-5=1.5(x-4)
B y-4=1.5 (x-5)
C y-2=1.5(x-2)
D y=1.5-1

Answers

Answer:

answer is d I think that makes more sense then other options

1. blessing had 180 goats. She sold out of her
goods
to her dad.
a) How many goats did she sell?
b) How many goats does she have?
c) What Fractions of the goats are left?​

Answers

Answer:

I think It's A. How many Goats Did She Sell?

Step-by-step explanation:

if she Sold Out of her goods To her dad. I am Thinking Of How many goats Are left.

On what interval is the function h(x) = |x − 5| + 2 increasing? A. (2, ∞) B. (5, ∞) C. (-∞, 2) D. (-∞, 5)

Answers

Answer:

The user above is correct

B. (5, ∞)

Step-by-step explanation:

Correct on plato/edmentum test

The graph of the function h(x) = |x − 5| + 2 is increasing over the interval B. (5, ∞)

What is a function?

A function is an expression that shows the relationship between two or more variables and numbers.

Given the function:

h(x) = |x − 5| + 2

From the graph of h(x), it is increasing over the interval B. (5, ∞)

Find out more on function at: https://brainly.com/question/2833285

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Someone help me please with a step by step explanation pleaseeeeee?????

Answers

Answer:

2/3 of 45 is 30. 1/6 of 30 is 5 so 25. 2/5 of 25 is 20, so 15

Answer:

15 pieces of candy

Step-by-step explanation:

ok

45 / 3 = 15

15 x 2 = 30

she kept 30 pieces of candy

30 / 6 = 5

5 x 5 = 25

she had 25 pieces of candy after Monday

25 / 5 = 5

5 x 3 = 15

she had 15 pieces of candy after Tuesday

Which set of ordered pairs represents y as a function of x?
Group of answer choices

{(0, 0), (1, 1), (1, 0), (2, 1)}

{(2, -1), (4, -2), (6, -3), (8, -4)}

{(1, -5), (1, 5), (2, -10), (2, -15)}

{(3, 3), (3, 4), (4, 3), (4, 4)}

Answers

Answer: Choice B

{(2, -1), (4, -2), (6, -3), (8, -4)}

In this relation, each point has a unique x coordinate. None of the x coordinates repeat themselves.

For something like choice A, we have x = 1 repeated. The input x = 1 leads to multiple outputs (y = 1 and y = 0 simultaneously).

The same situation happens in choice C also. This time x = 1 and x = 2 repeat themselves.

Choice D has x = 3 and x = 4 repeat themselves.

A function is only possible if each x input leads to exactly one y output.

rename the number 600,000

Answers

Answer:

if you're talking about renaming it in word form it would be a six hundred- thousand or is you're doing it in an equation its gonna be (6x10) x (10x1000)

Step-by-step explanation:

Which equation describes the line with a slope of 2 that contains the point (-4,-4)

Answers

Answer:

2x-y=-4

Step-by-step explanation:

(y-y1) = m(x-x1)

m = 2

x1 = -4

y1 = -4

(y+4)=2(x+4)

y+4=2x+8

2x-y+4=0

ill give brainliest please help :(

Answers

Answer:

okay so god,dog,now,won,noon,doom,mood,not,ton,pool

Step-by-step explanation:

Marcus is buying taco shells for a party. There will be 13 adults and 17 children
attending the party. He plans to make 3 tacos for each adult and 1 taco for each child.
There are 8 taco shells in each package. How many packages of taco shells will Marcus
need to buy in order to have enough tacos for the people attending the party?
A 7, because (13 x 3 + 17) + 8 = 7
B 28, because (13 x 17 + 3) = 8 = 28
C 80, because (13 + 17) x 8 = 3 = 80
D 15, because (13 + 17 x 4) + 8 = 15

Answers

Answer:

Tacos for adults: 13*3

Tacos for children: 17*1

Total: 39+17

=56

And in each package there will be 8 tacos

So, 56/8 = 7 = No. of tacos needed.

So the corrrect answer is A 7, because (13 x 3 + 17) + 8 = 7

Will mark BRAINLYLIST if you help plzzzzz!!!!!

Answers

Answer. x- 56
Explanation. The top two angles are the same, therefore, 62+62= 124. Since we know a triangle MUST be 180°, 180-124= 56. I hope this is correct and good luck :))

Help please help please

Answers

Answer:

A

Step-by-step explanation:

7 + ✓-25 what is the answer pls

Answers

Answer:

7 + 5i

Step-by-step explanation:

What is the square root of 25? Start by thinking about that.

Well, it's 5.

But because the 25 isn't positive, it's negative.

The square is 5i.

Then, you get 7 + 5i.

That can't be simplified any more, so that's your final equation.

Use the table below to determine the approximate height of the flag pole.

Help pls due tomorrow

Answers

Answer:

its b

Step-by-step explanation:

...........................

Answer:

B  17.5 ft

Step-by-step explanation:

tangent = opposite / adjacent

tan 35° = h / 25

multiply both sides by 25

h = 25 (tan 35°)

tan 35° = 0.70 (from your calculator)

h = 25 (0.70)

h = 17.51 ft.

A car is traveling at a rate of 10 meters per second in a 20-mile-per-hour speed limit zone.

Answers

22.3694

Step-by-step explanation:

each mps is 2.23694 x 10 = 22.3694

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