# college algebra

posted by kate

how long will it take an investment of \$5000 to grow to \$8000 if it is invested at 7.8% per year compounded weekly?

1. Reiny

assuming 52 weeks per year
i = .078/52 = .0015

5000(1.0015)^n= 8000
1.0015^n = 1.6
log (1.0015^n) = log 1.6
nlog1.0015 = log 1.6
n = log1.6/log1.0015 = 316.57 monts
= 6.03 years

it would take 6 years

2. george

Suppose that \$5,000 is invested in an account at an annual interest rate of 5.1%
compounded continuously. How long (to the nearest tenth of a year) will it take for
the investment to double in size?

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