SOLUTION: Suppose $9,200 is invested in an account at an annual interest rate of 2.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double
Algebra.Com
Question 1116581: Suppose $9,200 is invested in an account at an annual interest rate of 2.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose $9,200 is invested in an account at an annual interest rate of 2.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size?
----------
A(t) = P(e^(rt))
------------------------
2*9200 = 9200*e^(0.025t)
----
e^0.025t = 2
------
0.025t = ln(2)
---
t = ln(2)/0.025
t = 27.7 years
-----------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
Suppose $4,200 is invested in an account at an annual interest rate of 6.5% compounded... (answered by Fombitz)
Suppose $5,000 is invested in an account at an annual interest rate of 2.2% compounded... (answered by fractalier)
Suppose $7,100 is invested in an account at an annual interest rate of 3.4% compounded... (answered by Aldorozos)
Suppose $7,100 is invested in an account at an annual interest rate of 3.4% compounded... (answered by stanbon)
Suppose $9,200 is invested in an account at an annual interest rate of 2.5% compounded... (answered by greenestamps)
Suppose $2,900 is invested in an account at an annual interest rate of 3.5% compounded... (answered by Theo)
Suppose $6,000 is invested in an account at an annual interest rate of 4.5% compounded... (answered by ikleyn)
Please explain:
Suppose $2800 is invested in an account at an annual interest rate of... (answered by ikleyn)
If $5000 is invested at an annual interest rate of 9% compounded continuously, how much... (answered by nyc_function)