Questions: Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. p=509.53, r=8.3%, t=73 days

Determine the simple interest. The rate is an annual rate. Assume 360 days in a year.
p=509.53, r=8.3%, t=73 days
Transcript text: Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. \[ p=\$ 509.53, r=8.3 \%, t=73 \text { days } \]
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Solution

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Solution Steps

To determine the simple interest, we can use the formula: \[ \text{Simple Interest} = \frac{P \times R \times T}{100 \times 360} \] where \( P \) is the principal amount, \( R \) is the annual interest rate, and \( T \) is the time in days.

Step 1: Given Values

We are given the following values:

  • Principal amount \( P = 509.53 \)
  • Annual interest rate \( R = 8.3\% \)
  • Time period \( T = 73 \) days
Step 2: Simple Interest Formula

The formula for calculating simple interest is: \[ \text{Simple Interest} = \frac{P \times R \times T}{100 \times 360} \]

Step 3: Substitute Values

Substituting the given values into the formula: \[ \text{Simple Interest} = \frac{509.53 \times 8.3 \times 73}{100 \times 360} \]

Step 4: Calculate Simple Interest

Calculating the above expression yields: \[ \text{Simple Interest} \approx 8.5757 \]

Final Answer

The simple interest is approximately \\(\boxed{8.576}\\).

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