SOLUTION: 1. Assume you invest $10,000 in a mutual fund (e.g. money market fund) at an APR of 7% compounded quarterly. How long, to the nearest tenth of a year, will it take the $10,000 to

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Question 1148971: 1. Assume you invest $10,000 in a mutual fund (e.g. money market fund) at an APR of 7% compounded quarterly. How long, to the nearest tenth of a year, will it take the $10,000 to grow to $100,000? [Solve using both methods below.]

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!




A = final value
P - beginning value (principal)
r = annual rate
n = number of compounding periods per year
t = number of years



The unknown is in an exponent, so an algebraic solution requires logarithms. An easier method is using a graphing calculator. I will guess that those are the two solution methods "below"....

Using logs....






Use a calculator....

With a graphing calculator....

Y1 = 10000(1.0175)^(4x)
Y2 = 100000

Graph and find the point of intersection



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