The business manager of Toys and Noise arranges a loan of $$ \$ 7,500 $$, at $$ 8.5 \% $$ interest, for 33 months. Find the amount of simple interest. Select one: a. $$ \$ 1,560.21 $$ b. $$ \$ 1,753.13 $$ c. $$ \$ 8,480.21 $$ d. $$ \$ 5,460.13 $$

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To find the amount of simple interest, we can use the formula for simple interest:

$$ \text{Simple Interest} = \frac{P \times R \times T}{100} $$

Where:
- $$ P $$ is the principal amount (the initial amount borrowed),
- $$ R $$ is the rate of interest (in %),
- $$ T $$ is the time period (in years).

Given:
- Principal amount ($$ P $$) = $7,500
- Rate of interest ($$ R $$) = 8.5%
- Time period ($$ T $$) = 33 months

First, we need to convert the time period from months to years:
$$ T = \frac{33}{12} = 2.75 \text{ years} $$

Now, we can substitute the values into the formula for simple interest:

$$ \text{Simple Interest} = \frac{7500 \times 8.5 \times 2.75}{100} $$

Let's calculate the simple interest.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{7500\times 8.5\times 2.75}{100}$$
- step1: Multiply the terms:
  $$\frac{175312.5}{100}$$
- step2: Convert the expressions:
  $$\frac{\frac{350625}{2}}{100}$$
- step3: Multiply by the reciprocal:
  $$\frac{350625}{2}\times \frac{1}{100}$$
- step4: Reduce the numbers:
  $$\frac{14025}{2}\times \frac{1}{4}$$
- step5: Multiply the fractions:
  $$\frac{14025}{2\times 4}$$
- step6: Multiply:
  $$\frac{14025}{8}$$
The amount of simple interest is $1,753.13.

Therefore, the correct answer is b. $1,753.13.
The amount of simple interest is $1,753.13.

The business manager of Toys and Noise arranges a loan of \( \$ 7,500 \), at \( 8.5 \% \) interest, for 33 months. Find the amount of simple interest. Select one: a. \( \$ 1,560.21 \) b. \( \$ 1,753.13 \) c. \( \$ 8,480.21 \) d. \( \$ 5,460.13 \)

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