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Find the simple interest owed if [tex]$330 is borrowed at 7.9% for 10 years.

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Sagot :

To find the simple interest owed when [tex]$330 is borrowed at an interest rate of 7.9% for 10 years, we use the formula for simple interest: \[ \text{Simple Interest} = P \times r \times t \] where: - \( P \) is the principal amount (initial amount borrowed). - \( r \) is the annual interest rate (as a decimal). - \( t \) is the time the money is borrowed for, in years. Given the values: - Principal amount, \( P = 330 \) dollars. - Annual interest rate, \( r = 7.9\% \) (which is \( 7.9/100 = 0.079 \) as a decimal). - Time, \( t = 10 \) years. Let's plug in these values into the formula: 1. Convert the interest rate from a percentage to a decimal: \[ r = \frac{7.9}{100} = 0.079 \] 2. Multiply the principal amount by the interest rate and the time: \[ \text{Simple Interest} = 330 \times 0.079 \times 10 \] 3. Calculate the multiplication: \[ \text{Simple Interest} = 330 \times 0.079 \times 10 = 260.7 \] Therefore, the simple interest owed is $[/tex]260.7.