areem received a $1900 bonus. He decided to invest it in a 3-year certificate of deposit (CD) with an annual interest rate of 1.31% compounded monthly. nswer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the t of financial formulas. (a) Assuming no withdrawals are made, how much money is in Kareem's account after 3 years? ? (b) How much interest is earned on Kareem's investment after 3 years? $

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.59TI: New grandparents decide to invest 3200 per month in an annuity for their grandson, The account will...
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**Investment Compound Interest Calculation**

Kareem received a $1900 bonus. He decided to invest it in a 3-year certificate of deposit (CD) with an annual interest rate of 1.31% compounded monthly.

**Instructions:**
Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the [list of financial formulas](#).

**Questions:**

(a) Assuming no withdrawals are made, how much money is in Kareem's account after 3 years?
   
   $ ________

(b) How much interest is earned on Kareem's investment after 3 years?
   
   $ ________

**Notes:**
To calculate the future value of the investment with monthly compounding, use the compound interest formula:

\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \]

where
- \(A\) = the amount of money accumulated after n years, including interest.
- \(P\) = the principal amount (the initial amount of money).
- \(r\) = the annual interest rate (decimal).
- \(n\) = the number of times that interest is compounded per year.
- \(t\) = the time the money is invested for in years.

To find the interest earned, subtract the principal from the amount calculated:

\[ \text{Interest} = A - P \]

Fill in the blanks using the specified details: principal (\$1900), annual interest rate (1.31%), compounding frequency (monthly), and the time period (3 years).
Transcribed Image Text:**Investment Compound Interest Calculation** Kareem received a $1900 bonus. He decided to invest it in a 3-year certificate of deposit (CD) with an annual interest rate of 1.31% compounded monthly. **Instructions:** Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the [list of financial formulas](#). **Questions:** (a) Assuming no withdrawals are made, how much money is in Kareem's account after 3 years? $ ________ (b) How much interest is earned on Kareem's investment after 3 years? $ ________ **Notes:** To calculate the future value of the investment with monthly compounding, use the compound interest formula: \[ A = P \left(1 + \frac{r}{n}\right)^{nt} \] where - \(A\) = the amount of money accumulated after n years, including interest. - \(P\) = the principal amount (the initial amount of money). - \(r\) = the annual interest rate (decimal). - \(n\) = the number of times that interest is compounded per year. - \(t\) = the time the money is invested for in years. To find the interest earned, subtract the principal from the amount calculated: \[ \text{Interest} = A - P \] Fill in the blanks using the specified details: principal (\$1900), annual interest rate (1.31%), compounding frequency (monthly), and the time period (3 years).
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