Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.

Answers

Answer 1

9514 1404 393

Answer:

  $737,289

Step-by-step explanation:

The future value of an investment P invested at rate r per year compounded monthly for t years is ...

  FV = P(1 +r/12)^(12·t)

We want to find P for the given future value, so we can solve for that:

  P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)

  P = $2,000,000(1 +.05/12)^(-240) = $737,289

Mr. Halpayne needs a present value of $737,289 to support his retirement.


Related Questions

the radius of a circle is 8 what is the area of the circle? pls show work

Answers

Answer:

201.06

Step-by-step explanation:

A=πr2=π·82≈201.06193

Answer:

201.14 ≈ 201 unit²

Step-by-step explanation:

Area of circle = πr², where π is either 3.14 or 22/7 or 355/113. Mostly it is 22/7.

=> area of circle = (22/7) (8)² unit²

=> area of circle = (22 x 64)/7 unit²

=> area of circle = 201.14 unit²

If we take π = 3.14

=> area of circle = (3.14)(8)² = 200.96 unit²

what is the intersection point of function f and g

Answers

Answer:3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3


[tex] \sqrt[4]{48x}^{4} [/tex]
Someone please help me this is so confusing, Please no links and do it step-by-step Thank you!!!

Answers

Answer:

48x

Step-by-step explanation:

[tex](\sqrt[4]{48x} )^{4}[/tex] = [tex]\sqrt[4]{(48x)^{4} }[/tex] = 48x

Hegarty please help me

Answers

Answer:

wait let me try and see this carefully and then I will help you

Quadrilateral MNPQ is shown on the grid below.


What is the area, in square units, of the quadrilateral?

A) 182 square units

B) 4550 square units

C) 9100 square units

D) 91 square units

Answers

Answer:

42 square units

Step-by-step explanation:

Find the diagram attached

Area of the diagram = Area of the triangle + Area of rectangle

Area of rectangle = Length * Width

Area of rectangle = 3 * 6

Area of rectangle = 18 square units

Area of triangle = 1/2 * base * height

Get the base of the tringle using the pythagoras theorem;

b^2 = 10^2-6^2

b^2 = 100 - 36

b^2 = 64

b = 8units

height = 6 units

Area of the triangle = 1/2 * 8 * 6

Area of the triangle = 48/2

Area of the triangle  = 24 square units

Area of the figure = 18+24

Area of the figure = 42 square units

find the 9th term of the geometric sequence 6,-24,96...

Answers

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

 

Find the measure of
A 43•

B. 223•

C180•

Answers

Answer:

43

Step-by-step explanation:

subtract 157 from 180 and you get your answer if 43.

Practice
w
MULTIPLE CHOICE
John is 4 years older than Ben. If John is 12, what is Ben's age?

Answers

I think Ben’s age is 8
8 ,if john is 12 and 4 years older then it would be 12-4 which equals 8

can someone please help me with this? I'll mark brainliest for the right answer

Answers

It’s D. When multiplying by -1, you’re changing the signs from addition to subtraction, both inverses of each other.
The answer is D nnnhhhhygggffftyhvjjj

pls help will mark brainliest if correct

Answers

Answer:

its D Please put me as brain eat if correct

-6x+5y=1
6x+4y=-10
what is the answer to this problem by elimination

Answers

Answer:

x= -1 and y= -1

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

-6x+5y=1

6x+4y=-10

Add the two equations together to eliminate x

-6x+5y=1

6x+4y=-10

---------------------

9y     = -9

Divide by 9

9y/9 = -9/9

y= -1

Substitute back into one of the equations to find x

-6x+5y=1

-6x +5(-1) = 1

-6x -5 = 1

Add 5 to each side

-6x -5+5 = 1+5

-6x = 6

Divide by -6

-6x/-6 = 6/-6

x = -1

(-1,-1)

find the value of given expression

[tex] \sqrt{60 \times 60} [/tex]

Answers

Step-by-step explanation:

it is 3.600 this is my answer

Answer:

√(60×60)=√60²=±60 is your answer

find the perimeter of the polygon

Answers

1. Add all of the sides

So it should be 22
perimeter = add all sides tgther
4+4+7+7 = 22

A footballer attempted 30 goals during a match and only makes 12. What fraction of the attempted goals did he make?

Answers

Answer:

2/5

Step-by-step explanation:

you have to reduce each number by 6

Answer: 12/30 or 2/5

A toy manufacturer is shipping its newest product, an interactive talking globe, to a major toy store. The packaging for the globe is a rectangular prism that measures 2512 2512 inches high, 18 inches long, and 18 inches wide. The boxes for the globes are packaged into shipping crates that hold 8 globes each. What is the minimum volume of one shipping crate? Explain your answer in the space provided.

Answers

Answer:

6 511 104 in³

Step-by-step explanation:

Since we have 1 crate and 8 boxes fit into one crate.

So, volume of one crate, V' = 8 × volume of 1 box, V

Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.

So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³

So, V' = 8 × 813 888 in³ = 6 511 104 in³

So, the minimum volume of the crate is 6 511 104 in³

Find KJL (5x-2) (9x-62)

Answers

Answer:

45x^2-328x+124

Step-by-step explanation:

10. Find the slope of the line.

Answers

Answer:

-2/1

Step-by-step explanation:

Answer:

67

Because I just know

How many triangles can a heptagon be divided into? 3 5 4 6

Answers

Answer:

5 triangles.

Step-by-step explanation:

Answer:

5 or 4

Step-by-step explanation:

Please help ASAP !!!!

Answers

Answer:

AB(12, -8)?

Step-by-step explanation:

I think that's it but I haven't done something like this in a hot minute. If it's wrong I'm sorry

Engineers are designing a rollercoaster that at one point goes underground. The rollercoaster’s path underground is a large curve. The engineers use the function shown to model the elevation, ܧ ,in feet and ݐ , time, in seconds, of the rollercoaster’s path while it is underground.

Answers

Answer:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

Step-by-step explanation:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

If the area of a rectangle is
(15x2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.

Answers

Answer:

255

Step-by-step explanation:

(15x2 - 16x - 15) = 270

(3- 5) = -15

270

-  -15

= 255

What property is being used in 6 x (3+8) = 6 x 3 + 6 x 8?

Answers

Answer:

The distributive property

Step-by-step explanation:

Por una tubería de 4.02 cm de diámetro circula agua a una velocidad de 1.9 m/s. En
una parte más estrecha el diámetro es de 3.61 cm. ¿Cuál es la velocidad que llevará el
agua en ese punto?Por una tubería de 4.02 cm de diámetro circula agua a una velocidad de 1.9 m/s. En
una parte más estrecha el diámetro es de 3.61 cm. ¿Cuál es la velocidad que llevará el
agua en ese punto?​

Answers

Answer:

7.91

Step-by-step explanation:

I just took the quiz and i got an A

Each marble bag sold by Henry's Marble Company contains 5 purple marbles for every 4 orange marbles. If a bag has 20 orange marbles, how many purple marbles does it contain?

Answers

Answer:

25

Step-by-step explanation:

If it's 5 for every 4 and the bag has 20, 4*5 = 20 and you'd have to do that to the 5 as well to get 5*5=25.

Taylor climbed a tree and is sitting on one of the branches deciding if she wants to jump. She weighs 45 kilogram and is sitting 10 meters from the ground. What is her potential energy?

Answers

Answer:

Her potential energy is approximately 4481 J.

Step-by-step explanation:

Because the formula for potential energy is PEg = 9.81 * mass * height, just plug in the knowns. After you plug those in, you will get the potential energy as 9.81 * 450, which is approximately 4481 J.

Find the area and perimeter pls!!!

Answers

P = a + b + c =4.81 + 8.8 + 8.42 = 22.03

solve for x
x^9=12^2x12^7

Answers

Answer:

12

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

[tex] {x}^{9} = {12}^{2} \times {12}^{7} [/tex]

Here we can simplify this further using this law,

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

So we will get,

[tex] {x}^{9} = {12}^{7 + 2} \\ {x}^{9} = {12}^{9} [/tex]

Since the powers are same we can cancel it out and we will get,

[tex]x = 12[/tex]

(Hope this answer helped :))

2. Which polynomial has a leading coefficient of 5 and a degree of 4?
a. 3x5 - 4x6 + 2
b. 2x + 5x4 - 3x3
c. 6x + 4x5 - 2x2
d. 3x + x2 - 5x4

Answers

Answer B. since it has 5x^4

Which number is in the solution set of this equation? 7x − 9 = 40

Answers

Answer: the answer is 7

Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40

7(7)=49 next 49-9= 40

it checks out, so x= 7


What does the discriminant determine?

Answers

It determines if the solution is equal, less than , or more than zero so if it’s equal you only have one solution but if it’s less than so it’s an imaginary graph that doesn’t have solution or more than means it has more than a solution
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