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MrRa [10]
3 years ago
5

Present value sura wiggle would like to make a single investment have 2.2 million at the time of her retirement in 28 years she

has found a mutual fund that will earn 7% annually how much will Sarah have to invest today if there are an annual return of 15%
Mathematics
1 answer:
levacccp [35]3 years ago
3 0

Answer:

if the annual interest rate is 7%, then you need to invest:

present value = future value / (1 + i)ⁿ

  • future value = $2,200,000
  • i = 7%
  • n = 28 years

present value = $2,200,000 / (1 + 7%)²⁸ = $330,884.87

if the interest rate is 15%, the you need to deposit a smaller amount:

present value = future value / (1 + i)ⁿ

  • future value = $2,200,000
  • i = 15%
  • n = 28 years

present value = $2,200,000 / (1 + 15%)²⁸ = $43,942.34

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Answer:

X=0

Step-by-step explanation:

8(1  \times  5x) + 5 = 13 + 5x  \\ 8 + 40x + 5 = 13 + 5x \\ 40x + 13 = 13 + 5x \\ 40x - 5x = 13 - 13 \\ 35x = 0 \\ x = 35 \times 0 \\ x = 0

7 0
3 years ago
Plot the x- and y- intercepts of the function.
olya-2409 [2.1K]

Answer:

y intercept = -2

x intercepts = -2,-1,1

Step-by-step explanation:

f(x) = x^3 + 2x^2 -x-2

Set this equation equal to zero to find the x intercepts.

Factoring by grouping

0 =x^3 -x   +2x^2 -2

   = x( x^2-1) +2(x^2-1)

Factoring out the (x^2-1)

0= (x^2-1) (x+2)

Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)

0 = (x-1) (x+1) (x+2)

Using the zero product property

x-1 = 0  x+1  = 0  x+2 =0

x=1,  x=-1   x=-2

The x intercepts are -2, -1, 1


To find the y intercepts, set x=0

y = x^3 + 2x^2 -x-2

y = 0 -2

y = -2


4 0
3 years ago
Triangle ABC has side lengths:
Georgia [21]
Because ΔABC ≅ ΔHJK
AB = HJ (corr. sides, ≅ Δs)
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8 0
4 years ago
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Yumi's distance = 3 miles
Juan's distance = 2 miles
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Juan's rate = 2/x
Yumi's rate = 3/(x + 2)
The rates are equal so:
2/x = 3/(x + 2)
2x + 4 = 3x
x = 4 hours
Yumi's time = 4 + 2 = 6 hours
The answer is D.
3 0
3 years ago
Read 2 more answers
(-2-4)x8=<br><img src="https://tex.z-dn.net/?f=%28%20-%202%20-%204%29%20%5Ctimes%208%20%3D%20" id="TexFormula1" title="( - 2 - 4
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All we have to do is subtract -2 - 4 and we get -6, and multiply -6 * 8 to get our answer.

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