166k views
5 votes
"how long will it take to double your savings if you earn 7.2 percent interest, compounded annually?"

User Sneilan
by
7.2k points

1 Answer

3 votes
Formula of Comound Interest will help you. Here is the formula : So : savings you placed Sf : savings you get after years r : rate n : years Sf = So x (1+r)^n Here we try to get "n" so that Sf = 2So. "n" is a math power, if you want to get it, you should use Logarithm and transform the equation : Sf - So = (1+r)^n Then, you isolate "n" and by doing that, every other equation's terms will be expressed in Logarythm : n = (log sf - log so) / (log 1 + r) Example : you have 10$, you want 20$ with 7.2% interest (Any other amount will match) : n = (log 20 - log 10) / (log 1.072) n = 0.301029 / 0.030195 n = 9.9696 You will need 9.9696 years. So (0.9696*365)/1 = 9 years, 11 months and 19 days.
User Paul Stanley
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.