SOLUTION: Given that the amount in an account earning continuous interest is given by the formula A=Pe^(rt) determine the of money that should be invested at a rate of 5% compounded continuo

Algebra.Com
Question 636769: Given that the amount in an account earning continuous interest is given by the formula A=Pe^(rt) determine the of money that should be invested at a rate of 5% compounded continuously to produce a final balance of $18,000 in 25 years.
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Given that the amount in an account earning continuous interest is given by the formula A=Pe^(rt) determine the of money that should be invested at a rate of 5% compounded continuously to produce a final balance of $18,000 in 25 years.
**
P=initial investment
r=annual interest rate=5%
A=amt after t years
t=25 years
..
18000=P*e^(.05*25)
P=18000/e^1.25
using calculator
P=5157
Amt of money that should be invested=$5157

RELATED QUESTIONS

The amount of money in an account with continuously compounded interest is given by the... (answered by robertb)
A person places $8890 in an investment account earning an annual rate of 7.7%, compounded (answered by josgarithmetic)
The amount of money in an account with continuously compounded interest is given by the... (answered by drk,stanbon)
The amount of money in an account with continuously compounded interest is given by the... (answered by nerdybill)
The amount in an account after t years from an initial principle P invested at an annual... (answered by Nate)
This problem is a story problem using the formula listed below. When interest is... (answered by stanbon)
Please help,The formula for calculating the amount of money? The formula for... (answered by Fombitz)
Maybe it is because the problem is so long it is overwhelming or maybe it is just going... (answered by stanbon)
The amount A in an account after t years of an initial principle P invested at an annual... (answered by ankor@dixie-net.com)