Using the Rule of 70, the approximate interest rate that would be needed for an investment of $14,000 to double by the end of 32 years can be calculated as follows:
The formula for the Rule of 70 is:
Number of years to double = 70 / interest rate (as a decimal)
Solving for the interest rate:
interest rate (as a decimal) = 70 / number of years to double
So, if you want to double your investment in 32 years, you can plug in the number of years:
interest rate (as a decimal) = 70 / 32
interest rate (as a decimal) = 2.188
Converting this decimal to a percentage, the interest rate would be approximately 2.19% (rounded to two decimal places). So, the answer is C: 2.19%.