Question:
How long will it take a {eq}\$300{/eq} investment to be worth {eq}\$800{/eq}, if it is continuously compounded at {eq}12\%{/eq} per year?
Compound interest:
Compound interest is a method that is used in the financial field. It is an interest on the principal amount and previous interest amount for the next calculation of the interest. The following formula can be used to determine the compounded amount.
{eq}A = P{e^{rt}}{/eq}
Where
{eq}\begin{align*}A &= Final\,amount\\P &= Initial\,amount\\r &= Interest\,rate\\t &= Time\end{align*}{/eq}
Answer and Explanation:1
Become a Study.com member to unlock this answer!Createyouraccount
Given data
- The final amount is {eq}A = \$ 800.{/eq}
- The initial amount is {eq}P = \$ 300.{/eq}
- The interest rate is {eq}r = 12\% .{/eq}
The...
See full answer below.