Use Table \( 12-1 \) of your text to find the future value of \( \$ 1,300 \) deposited at the BEGINNING of every three months, for 3 years if the bank pays \( 12 \% \) interest, compounded quarterly. Select one: a. \( \$ 18,789.65 \) b. \( \$ 19,955.20 \) c. \( \$ 19,003.13 \) d. \( \$ 20,830.22 \)

To find the future value of \( \$ 1,300 \) deposited at the beginning of every three months for 3 years at a 12% interest rate compounded quarterly, you can use the future value of an annuity due formula: \[ FV = P \times \left(\frac{(1 + r)^n - 1}{r}\right) \times (1 + r) \] Where: - \( P = 1,300 \) - \( r = \frac{0.12}{4} = 0.03 \) (quarterly interest rate) - \( n = 3 \times 4 = 12 \) (total number of deposits) Plugging in the values, you will arrive at the future value. However, to select from the options given, you can try calculating or checking calculations using a table or calculator. The correct option is **(b) \( \$ 19,955.20 \)**. Future value calculations can be a great way to see your savings grow over time! If you set aside money regularly and interest compounds, you’d be amazed at how quickly your nest egg can swell—just like magic! It's like early Christmas, where you get to open up surprises with every passing quarter. Looking to master your financial wellness? Exploring investment options beyond traditional savings accounts not only keeps your money working for you but can also provide better returns. Consider diving into stocks, bonds, or even mutual funds! Getting familiar with how compound interest truly works can lead to savvy decisions that could greatly improve your future financial landscape. Happy learning!