Consumer Mathematics - Annuity Earnings

Mathematics
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Kiki is saving money in an annuity and is earning 10% annual interest compounded semi-annually. If she deposits $2,000 every 6 months for 3 years, what will the future value of her account equal? How much interest will she have earned?

May 21st, 2015

The formula for annual compound interest is A = P (1 + r/n) ^ nt:

Where:

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

A=

p=2000

r=10

n=6

t=3

A=2000(1+0.1/6)^6*3

A=2,693.05

interest earned=2693.05

May 21st, 2015

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May 21st, 2015
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May 21st, 2015
May 28th, 2017
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