Assume you invest {{MATH_1}} in an account for {{MATH_2}} years ({{MATH_3}} months), with an annual interest rate of {{MATH_4}}, compounded monthly. The amount of money in your account after {{MATH_5}} years will be {{MATH_6}} Use the Intermediate Value Theorem to show that there is a value of {{MATH_7}} in the interval {{MATH_8}} , that is an interest rate between {{MATH_9}} and {{MATH_10}}, that will allow you to accomplish your goal of saving {{MATH_11}} in {{MATH_12}} years.