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Natalie has just invested in a stock worth $570 that is expected to increase in value by 9% per year. The general equation for such a situation is:
 

A=P⋅rtA=P⋅rt

where...
A is the final amount the investment is worth.
P is the principal value (aka, the starting value).
r is the rate of increase as a decimal plus 1. So, if the rate of increase is 2%, then 2%=0.02, and we add one, so r would equal 1.02.
t is the number of years the money has been invested.

How many years will it take for the value of her stock be $2775? Round your answer to two decimal places.

 Jun 30, 2016
 #1
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A = Prt, t = ?

A = 2775

P = 570

r = 1.09

 

t = A/Pr

t = 2775/(570*1.09)

t = 4.47 years

 Jun 30, 2016
 #2
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FV=PV[1 + R]^N

2,775.00 =570 [1 + 0.09 ]^N divide both sides by 570

4.868421=1.09^N take the log of both sides

N=Log(4.868421) / Log(1.09)

N=18.37 years that will take 570 to grow to 2,775 @ 9%.

 Jun 30, 2016

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