Pregunta
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If you borrow \( \$ 700 \) for 10 years at an annual interest rate of \( 13 \% \), how much will you pay altogether? \[ [?] \]

Ask by Cross Summers. in the United States
Feb 24,2025

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You will pay a total of \$1,610 altogether.

Solución

To solve this problem using simple interest, we follow these steps: 1. Calculate the interest accumulated each year:   Interest per year = Principal × Rate = 700 × 0.13 = 91. 2. Multiply the yearly interest by the number of years (10 years):   Total interest = 91 × 10 = 910. 3. Add the total interest to the principal to determine the total amount to be repaid:   Total amount = Principal + Total interest = 700 + 910 = 1610. Thus, you will pay a total of $1,610 when repaying the loan.

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The Deep Dive

To find out how much you’ll pay altogether after borrowing \$700 for 10 years at an annual interest rate of 13%, you can use the formula for compound interest. However, if we're considering simple interest, the formula is: \[ \text{Total Payment} = P + (P \times r \times t) \] Where \( P \) is the principal amount, \( r \) is the interest rate, and \( t \) is the time in years. First, calculate the interest: \[ \text{Interest} = 700 \times 0.13 \times 10 = 910 \] Now, add the principal amount: \[ \text{Total Payment} = 700 + 910 = 1610 \] So, you will pay a total of \$1,610. Needless to say, borrowing money can be quite the journey! Understanding how interest plays into your totals is a wise move that can save you from those “surprise” moments when it’s time to pay back the loan. Keep an eye on that rate!

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