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A certain amount of money is invested at a compound interest rate of 10% per ann
Practice Questions
Q1
A certain amount of money is invested at a compound interest rate of 10% per annum. How long will it take for the investment to double?
7.2 years
10 years
5 years
8 years
Questions & Step-by-Step Solutions
A certain amount of money is invested at a compound interest rate of 10% per annum. How long will it take for the investment to double?
Steps
Concepts
Step 1: Understand that we want to find out how long it takes for an investment to double.
Step 2: Know that the interest rate given is 10% per year.
Step 3: Use the Rule of 72, which is a quick way to estimate the time to double an investment.
Step 4: The formula for the Rule of 72 is: time (in years) = 72 divided by the interest rate.
Step 5: Plug in the interest rate: time = 72 / 10.
Step 6: Calculate the result: 72 divided by 10 equals 7.2.
Step 7: Conclude that it will take approximately 7.2 years for the investment to double.
Compound Interest
– Understanding how compound interest works and how it affects the growth of an investment over time.
Rule of 72
– A simplified formula to estimate the number of years required to double an investment at a fixed annual rate of return.
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