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15 votes
15 votes
#11 When you were born, your grandparents deposited $10,000 in a CD. for your college education. If theaccount earns 5% interest, compounded monthly, how much will be in the account for your collegeeducation?

User Wasserholz
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3.7k points

1 Answer

6 votes
6 votes

PV\text{ = FV }\ast\text{ }\lbrack\text{ 1 }(\square)/(\square)(1+i)^n\rbrack

Replacing with the values we already know, we have:

PV = 10,000

i = 5% or 0.05 but it is compounded monthly, then it is 0.05/12

n = 18 years or 216 months

10,000 = FV * 0.4073

FV = 10,000/0.4073

FV = $ 24,551.93

It is very close to option D, where the term "about" is included.

User Dabrut
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3.0k points
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