SOLUTION: Randy invested his inheritance in an account that paid 6.4% interest, compounded continuously. After 8 years, he found that he now had $59,272.90. What was the original amount of h

Algebra.Com
Question 1207184: Randy invested his inheritance in an account that paid 6.4% interest, compounded continuously. After 8 years, he found that he now had $59,272.90. What was the original amount of his inheritance?

Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

A = P*e^(r*t)
59272.90 = P*e^(0.064*8)
59272.90 = P*1.66862511014
P = 59272.90/1.66862511
P = 35521.99930636
P = 35522.00 dollars is the final answer

RELATED QUESTIONS

Randy invested his inheritance in an account that paid 6.3% interest, compounded... (answered by mananth)
Randy invested his inheritance in an account that paid 6.1% interest, compounded... (answered by richwmiller)
Randy invested his inheritance in an account that paid 6.1% interest, compounded... (answered by checkley77)
Randy invested his inheritance in an account that paid 6.1% interest, compounded... (answered by Fombitz)
Randy invested his inheritance in an account that paid 6.5% interest, compounded... (answered by jorel1380)
randy invested his inheritance in an account that paid 6.9% interest, coupounded... (answered by lwsshak3)
I have a word problem that am having trouble figuring out how to work it out to come up... (answered by solver91311)
Maria deposited $1200 in an account that paid 6 1/2 percent interest compounded... (answered by stanbon)
You deposit $2500 in an account that pays 3.5% annual interest compounded continuously.... (answered by rfer)