Question
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Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. \( \mathrm{p}=\$ 310, \mathrm{r}=7.25 \%, \mathrm{t}=2.75 \) years The simple interest is \( \$ \square \). (Round to the nearest cent as needed.)

Ask by West Mckenzie. in the United States
Mar 09,2025

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Answer

The simple interest is \$61.81.

Solution

1. Write the formula for simple interest: \[ I = P \times r \times t \] 2. Substitute the given values: - \( P = 310 \) dollars, - \( r = 7.25\% = 0.0725 \) (as a decimal), - \( t = 2.75 \) years. \[ I = 310 \times 0.0725 \times 2.75 \] 3. Calculate the product step by step: - First, calculate \( 310 \times 0.0725 \): \[ 310 \times 0.0725 = 22.475 \] - Next, multiply by \( 2.75 \): \[ 22.475 \times 2.75 \approx 61.80625 \] 4. Round the result to the nearest cent: \[ I \approx \$61.81 \] The simple interest is \( \$61.81 \).

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To determine the simple interest, you can use the formula: \[ I = P \times r \times t \] where \(I\) is the interest, \(P\) is the principal amount (\$310), \(r\) is the rate (7.25% or 0.0725), and \(t\) is the time in years (2.75 years). Plugging in the values, we get: \[ I = 310 \times 0.0725 \times 2.75 \] Calculating this: 1. Calculate \(310 \times 0.0725 = 22.475\) 2. Then, \(22.475 \times 2.75 = 61.18125\) Thus, rounded to the nearest cent, the simple interest is \( \$61.18 \).

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