Asked by Michael

to establish a college fun, what lump sum must be deposited in order to have $30,000.00 in the fund at the end 0f 15 years? Assume a 7.5% interest rate, compounded monthly

Answers

Answered by Scott
30000 = x [1 + (.075 / 12)]^(15 * 12)

log(30000) = log(x) + 180 log(1.0625)
Answered by Reiny
log(30000) = log(x) + 180 log(1.0625)

should read: log(30000) = log(x) + 180 log(1.00625)

or

from the first line
300000 = x(1.00625)^180
x = 30000/1.00625^180 = 9773.73

The log equations yields the same result.
Answered by Scott
oops...decimal place

sorry about that
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