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jeyben [28]
3 years ago
7

Suppose our retirement account pays 9% apr compounded monthly; what size nest egg do we need in order to retire with 25 years th

at yields to $5,000 per month? Show all work
Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

  $595,808.11

Step-by-step explanation:

We assume the retirement account is intended to pay out $5000 per month for 25 years. The amortization formula can be used to find the required amount. The monthly payment A based on principal P with interest at annual rate r for t years satisfies the relation ...

  A = P(r/12)/(1 -(1 +r/12)^(-rt))

  P = A(12/r)(1 -(1 +r/12)^(-rt))

  P = 5000(12/0.09)(1 -(1 +.09/12)^-300)

  P = $595,808.11

The required nest egg is $595,808.11.

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What is the solution to -10 x w = -50?<br> A. w = 10<br> B. w = 5<br> C. w = -5<br> D. w = -10
ZanzabumX [31]

The solution to the given equation is w = -5

<h3>Solving of expression</h3>

What is an Algebraic Expression? An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations

Given the expression below as shown;

-10w = 50

Divide both sides by -10

-10w/-10 = 50/-10

w = -5

Hence the solution to the given equation is w = -5

Learn more on equation and expression here: brainly.com/question/22048677
#SPJ1

4 0
2 years ago
The function f(x) = (x − 4)(x − 2) is shown.What is the range of the function?
yuradex [85]

Answer:

The range is y ≥ -1

Step-by-step explanation:

∵ f(x) = (x - 4)(x - 2)

∴ f(x) = x² - 2x - 4x + 8

∴ f(x) = x² - 6x + 8 ⇒ quadratic function (ax² + bx + c) represented by

   parabola graphically

∵ a = 1 , b = -6 , c = 8

∴ x-coordinate of its vertex = -b/2a = -(-6)/2×1 = 3

∴ f(3) = (3)² - 6(3) + 8 = -1

∵ a is positive ⇒ the curve has minimum point and it's open upward

∴ the minimum point is (3 , -1)

∴ The range is y ≥ -1 ⇒ because the minimum value is -1

3 0
3 years ago
5<br> The slope of EF is<br> Which segments are perpendicular to EF?<br> Select each correct answer.
Anvisha [2.4K]

Answer:

the first two answers are perpendicular

8 0
3 years ago
You are one 8-aristotle students. Camie, your math class president, is designing a geometrical shape flower pots as a fund-raisi
8_murik_8 [283]

Answer:

422332423fund-raising project. The cost of paint color needed is php 1,200 plus php 45 each pot. She estimates that your class will design 80 pots and sell designed pots for php 100 each.

Direction: answer the following questions below then, decide if you are in favor of camie's plan. write your answers on the spacfund-raising project. The cost of paint color needed is php 1,200 plus php 45 each pot. She estimates that your class will design 80 pots and sell designed pots for php 100 each.

Direction: answer the following questions below then, decide if you are in favor of camie's plan. write your answers on the spac

Step-by-step explanation:

fund-raising project. The cost of paint color needed is php 1,200 plus php 45 each pot. She estimates that your class will design 80 pots and sell designed pots for php 100 each.

Direction: answer the following questions below then, decide if you are in favor of camie's plan. write your answers on the spac

8 0
3 years ago
Freyda has a circular rug with a radius of 120 centimeters. The fringe on the outside edge of the rug needs to be replaced. What
Gnom [1K]

Answer:

The Fringe of the rug is 754 cm.

Step-by-step explanation:

Given:

radius = 120 cm

We need to find the fringe of the outside rug.

Solution:

Since the rug is in the circular form.

We can say that fringe of the outside edge of the rug can be equal to circumference of the circle.

Then we will find the Circumference of the circle.

Circumference of the circle is given 2 times 'π' times radius 'r'.

framing in equation form we get;

Circumference of the circle = 2\pi r

Circumference of the circle = 2 \times \pi \times 120 = 753.98 \approx 754\ cm

Hence the Fringe of the rug is 754 cm.

8 0
3 years ago
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