BolaKerso4ckoa7la
BolaKerso4ckoa7la BolaKerso4ckoa7la
  • 12-06-2016
  • Mathematics
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In order to pay for college, Brooke's parents invest $20,000 in a bond that pays 8% interest compound semiannually. How much money will be there in 18 years?

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metchelle
metchelle metchelle
  • 12-06-2016
To get the ending amount we will be using the formula

X=P ( 1 + r/n)^nt , where

x is the ending amount
P is the principal amount
r is the interest rate, in decimal form
n is the number of compoundings in one year, in this case n=2
t is the number of years

next is we substitute

x = $20,000 ( 1 + 0.08/2 )^2(18)
x = $20,000 ( 1 + 0.04)^36
x = $20,00 (1.04)^36
x = $20,00 (4.10393255398)
x = $
82,078.65
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