After investing $370 at an interest rate of 4% compounded annually for two years, how much will Paula have?

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Study the essentials of Personal Finance and Time Value of Money. Use flashcards, multiple choice questions, and detailed explanations to prepare effectively for your exam.

To determine the amount Paula will have after investing $370 at an interest rate of 4% compounded annually for two years, we can apply the formula for compound interest:

( A = P(1 + r)^n )

where:

  • ( A ) is the amount of money accumulated after n years, including interest.

  • ( P ) is the principal amount (the initial amount of money).

  • ( r ) is the annual interest rate (decimal).

  • ( n ) is the number of years the money is invested or borrowed.

In this situation:

  • The principal ( P ) is $370.

  • The annual interest rate ( r ) is 4%, which is 0.04 in decimal form.

  • The number of years ( n ) is 2.

Plugging in these values, we calculate:

( A = 370(1 + 0.04)^2 )

First, calculate ( (1 + 0.04) ):

( 1 + 0.04 = 1.04 )

Next, raise this to the power of 2:

( (1.04)^2 = 1.0816 )

Now, multiply that by the principal

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