You want to be able to withdraw $25,000 from your account each year for 20 years after you retire.

You expect to retire in 25 years.

If your account earns 6% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?

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Answer 1

Answer:

When using formulas in application, or memorizing them for tests, it is helpful to note the similarities and differences in the formulas so you don’t mix them up. Compare the formulas for savings annuities vs payout annuities.

Savings Annuity Payout Annuity

(

)

−

)

(

)

(

−

(

)

−

)

(

)

PAYOUT ANNUITY FORMULA

(

−

(

)

−

)

(

)

P0 is the balance in the account at the beginning (starting amount, or principal).

d is the regular withdrawal (the amount you take out each year, each month, etc.)

r is the annual interest rate (in decimal form. Example: 5% = 0.05)

k is the number of compounding periods in one year.

N is the number of years we plan to take withdrawals

Related Questions

Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.

Answers

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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What is the sampling method used in the following scenario? The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.

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Answer:

Step-by-step explanation:

The method applied in this scenario is called simple random sampling. A sample of 100 customers is chosen from a larger population of customers and each customer has the same chance of being selected for the survey at any given time. Also, the chance of selecting 100 customers from each store is the same during the sampling process. The order of sampling at each store does not follow a certain order, thus, It is different from systematic random sampling.

Question
Use a number line to compare the following fractions: 4/3 7/6

Answers

The comparison is that:

4/3 is greater than 7/6 and 7/6 is less than 4/3

The fractions are given as:

4/3 and 7/6

See attachment for the number line that represents both fractions

From the number line. 4/3 is at the right of 7/6

This means that:

4/3 is greater than 7/6 and 7/6 is less than 4/3

Answers

First find slope
(2-4)/(8-3) = -2/5
Y = -2/5x + b
Plug in a point
4 = -2/5(3) + b
4 = -6/5 + b, b = 5.2
Solution: y = -2/5x + 5.2

What are the domain and range of the relation given in the table? x y −12 0 −8 12 0 0 1 8

Answers

Answer:

domain: {−12,−8,0,1}

range: {0,8,12}

The domain and range of the relation given in the table are:

The domain: {-12, -8, 0, 1}

And range: {0, 8, 12}

What is domain?

The collection of all conceivable independent values that a function or relation may take is known as its domain.

We have the relation,

x → y

-12 → 0

-8 → 12

0 → 0

1 → 8.

The range of the relation: All achievable values.

So, the domain: {-12, -8, 0, 1}

And range: {0, 8, 12}

Therefore, range and domain is given below.

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find the perimeter and area of the figure to the nearest hundredth use 3.14 for pi.

Answers

Answer:

Perimeter = 36.84 ft

Area = = 64.26 ft²

Step-by-step explanation:

✔️Perimeter of the figure = the length of the surrounding border the rectangle + surrounding border of circle

Length for surrounding border of the rectangle = 3 + 3 + 3 + 3 + 3 + 3 = 18 ft

Surrounding border of a circle = circumference of a full circle (two half circle makes 1 full circle)

Circumference of the circle = πd

diameter (d) = 12 - (3 + 3) = 6 ft

π = 3.14

Circumference = 3.14*6

= 18.84 ft

✅Perimeter = 18 + 18.84 = 36.84 ft

✔️Area = area if the rectangle + area of the full circle

= L*W + πr²

L = 12 ft

W = 3 ft

π = 3.14

r = ½(6) = 3 ft

Plug in the values

Area = 12*3 + 3.14*3²

= 36 + 28.26

= 64.26 ft²

Miles read 4 books in the first half of March. By the end of March, the library had added Miles to the top-readers board for reading more than 10 books in a month. Let x represent how many books Miles read in the second half of March. Which inequality describes the problem? 4+x≥10 4+x>10 Solve the inequality. Then, complete the sentence to describe the solution. Miles read more than books in the second half of March. Submit

Answers

Miles read more than 6 books in the second half of March in order to be added to the top-readers board. This was found by solving the inequality 4 + x ≥ 10.

Miles read 4 books in the first half of March, so he needed to read more than 6 books in the second half of March in order to be added to the top-readers board. This can be represented by the inequality 4 + x ≥ 10, where x is the number of books Miles reads in the second half of March. To solve this inequality, we need to subtract 4 from both sides to isolate the variable x. This gives us the equation x ≥ 6. Therefore, Miles read more than 6 books in the second half of March in order to be added to the top-readers board.

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WILL

GIVE BRAINLISTTT

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Answer:

Step-by-step explanation:

explanation needed

I need help asap please!!!

Answers

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

What is sine of angles?

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle. It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅ 2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1; sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Which of the following exponential regression equations best fits the data shown below?
(-4,0.05), (-3, 0.20), (-2, 0.75)

Answers

The exponential regression equation is y = 11.37 * 3.87ˣ

How to determine the exponential regression equation

From the question, we have the following parameters that can be used in our computation:

(-4,0.05), (-3, 0.20), (-2, 0.75)

To calculate the exponential regression equation that best fits the data shown, we use a graphing tool

An exponential function is represented as

y = abˣ

From the graphing tool, we have

a = 11.37

b = 3.87

substitute the known values in the above equation, so, we have the following representation

y = 11.37 * 3.87ˣ

Hence, the exponential regression equation is y = 11.37 * 3.87ˣ

Answers

Answer:

-7

Step-by-step explanation:

8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.

Soo yeah -6 or -7 yeah i think it was -7

Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) h , where h ≠ 0.
f(x) = 2 − 4x

Answers

Answer:

-4

Step-by-step explanation:

(f(a+h)-f(a))/h=(2-4(a+h)-2+4a))/h=-4h/h=-4

simplify 3 · 32 + 8 ÷ 2 − (4 + 3)

Answers

Answer:

= 93

Step-by-step explanation:

Calculate within parentheses:

(4+3)

= 7

Simplify:

= 3 * 32 + 8 ÷ 2 - 7

Multiply and divide (left to right):

= 96 + 8 ÷ 2 - 7

Multiply and divide (left to right):

= 96 + 4 - 7

Add and subtract (left to right):

= 93

Only answer if you are 100%. sure but pls answer quickly

Answers

Answer:

It's A, 9.23 × 10⁻⁴

Answer:

Step-by-step explanation:

All my work is provided in the attached screenshot!

Mark ran 875 miles in the track club this year . Mark ran in 52 track meets and ran the same number of miles in each . how many miles did Mark run in each track meet write answer in a mixed number

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Answer:

I got 16.82692308 if that helps

John takes out a loan for $ 10 , 000 at a simple interest rate of 5 % to be paid back in 36 monthly installments.

Answers

The monthly principal and interest payment John will pay monthly is $3,750.04

What is the amount of principal and interest repayment?

Given:

P = 10,000i = 5% / (12 months) = 0.375L = 36 months

$M = 10000 \times \frac{0.375}{ {1 - (1 + 0.375)}^{ - 36} } $

$M = 10000 \times \frac{0.375}{ {1 - (1.375)}^{ - 36} } $

$M = 10000 \times \frac{0.375}{ {1 - (0.00001049791)} } $

$M = 10000 \times \frac{0.375}{ 0.99998950208 } $

$M = 10000 \times 0.37500393675$

$M = 3750.03936758$

Approximately,

M = $3,750.04

Therefore, John will be be repaying $3,750.04 monthly including principal and interest

Answers

Answer:

ggggggg

Step-by-step explanation:

Hey
I used a calculator for this
Can u give me a brainliest answer???

express 3+ 2 / 3 -2 +23 +8 in the form a + b3 where a and b are rational numbers

Ella invested 4900 compounded monthly3%

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It would take about 2.6 years for the value of the account to reach $5,920, assuming no deposits or withdrawals are made.

We can use the formula for compound interest to solve the problem;

A = $P(1+r/n)^{(nt)}$

where;

A is the amount after t years

P is principal (the initial amount invested)

r is annual interest rate (as a decimal)

n is number of times the interest is compounded per year

t is the time in years

In this case, we know that;

P = $4,900

r = 0.03 (3% expressed as a decimal)

n = 12 (interest is compounded monthly)

A = $5,920

We can solve for t by plugging in these values and solving for t;

$5,920 = $4,900$(1+0.03/12)^{12t}$

Divide both sides by $4,900;

1.20918367347 = $(1+0.03/12)^{12t}$

Take the natural logarithm of both sides;

ln(1.20918367347) = ln($(1+0.03/12)^{12t}$)

Use the property of logarithms that allows us to bring the exponent down;

ln(1.20918367347) = 12t ln(1 + 0.03/12)

Divide both sides by 12 ln(1 + 0.03/12)

t = ln(1.20918367347) / (12 ln(1 + 0.03/12))

t ≈ 2.6 years

Therefore, it would take about 2.6 years.

--The given question is incomplete, the complete question is

"Ella invested $4,900 in an account paying an interest rate of 3% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $5,920?"--

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what's 198.040 divided by 98.100 and plus 100.000 times 4.300.

Answers

Answer:

868.065

Step-by-step explanation:

198.040 ÷ 98.1 + 100 x 4.3

= 2.0188 + 100 x 4.3

= 201.8756 x 4.3

= 868.065

Steps to solve:

198.040 ÷ 98.1

~Divide

2.0187563... or 2.02

Steps to solve:

100 * 4.3

~Multiply

430

Best of Luck!

suppose y varies directly as x, and y=48 when x=6. find x when y=72.

Answers

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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Enter the fraction in simplest form.
$ \frac{14}{49} $

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the answer is 2/7 because you divide both by 7

the answer is 2/7 and your welcome

x + 3y – 2z = 3
-x – 2y + z = -2
2x – 7y + z = 1

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Answer:

x + 3y – 2z = 8

-x – 2y + z = 12

2x – 7y + z =7

this answer is fake

Step-by-step explanation:

x + 3y – 2z = 3

-x – 2y + z = -2