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Lerok [7]
2 years ago
9

At 22 years of age, Nicolas and Troy have started their first full-time jobs, and Troy decides to place $10,000 in a savings pla

n for retirement, which pays 9% compounded every 3 months.
As usual, Nicolas thinks Troy is crazy because he wants to enjoy his money now, and then start saving when he turns 45 years of age.

Assume that both Troy and Nicolas plan to retire at age 60. If Nicolas wants to retire with the same amount of savings as Troy, how much will Nicolas need to contribute monthly to his savings account, which earns him 10% compounded monthly?
Mathematics
1 answer:
grigory [225]2 years ago
4 0

Answer:

The correct answer 8486.

Step-by-step explanation:

Given:

Troy - P pr principle amount = 10000

rate = 9%

time = 60-22 = 38

intrest at every three months so time = t = 38*4 = 132

Nicohlas

P = x

rate = 10%

time = 60 -45 = 15

every month compounded = 15*12=180

solution:

the formula of compound intrest = P (1 + r/n)^(nt)

where n = number of counded intrests per year

puting formula for troy=

10000 (1+9/4)^132

= 294,322.96 .....1

now for nicolas

I = x(1+10/12)^180

x = 294,322.96/(1+10/12)^180

= 8486.

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Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b.  Dylan's proposed placement will light a greater area than Nikki's placement.

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