Finite Math Examples

$p = 3500$ ,

$r = 6 %$ ,

$t = \frac{9}{12}$

Step 1

Simple interest is calculated on the original principal only. Accumulated interest from prior periods is not used in calculations for the following periods.

$i = p \cdot r \cdot t$

Step 2

Solve the equation for

$i$ .

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Step 2.1

Remove parentheses.

$i = p \cdot r \cdot t$

Step 2.2

Multiply

$p r$ by

$t$ .

$i = p r t$

Step 3

Substitute the known values into the formula.

$i = (3500) \cdot (6 %) \cdot (\frac{9}{12})$

Step 4

Simplify the right side.

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Step 4.1

Simplify

$(3500) \cdot (6 %) \cdot (\frac{9}{12})$ .

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Step 4.1.1

Cancel the common factor of

$4$ .

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Step 4.1.1.1

Factor

$4$ out of

$(3500) \cdot (6 %)$ .

$i = 4 ((875) \cdot 6 %) \cdot \frac{9}{12}$

Step 4.1.1.2

Factor

$4$ out of

$12$ .

$i = 4 ((875) \cdot 6 %) \cdot \frac{9}{4 (3)}$

Step 4.1.1.3

Cancel the common factor.

$i = 4 ((875) \cdot 6 %) \cdot \frac{9}{4 \cdot 3}$

Step 4.1.1.4

Rewrite the expression.

$i = (875) \cdot 6 % \cdot \frac{9}{3}$

Step 4.1.2

Combine

$\frac{9}{3}$ and

$875$ .

$i = \frac{9 \cdot 875}{3} \cdot 6 %$

Step 4.1.3

Multiply

$9$ by

$875$ .

$i = \frac{7875}{3} \cdot 6 %$

Step 4.1.4

Combine

$\frac{7875}{3}$ and

$6 %$ .

$i = \frac{78756 %}{3}$

Step 4.1.5

Cancel the common factor of

$7875$ and

$3$ .

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Step 4.1.5.1

Factor

$3$ out of

$78756 %$ .

$i = \frac{3 (26256 %)}{3}$

Step 4.1.5.2

Cancel the common factors.

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Step 4.1.5.2.1

Factor

$3$ out of

$3$ .

$i = \frac{3 (26256 %)}{3 (1)}$

Step 4.1.5.2.2

Cancel the common factor.

$i = \frac{3 (26256 %)}{3 \cdot 1}$

Step 4.1.5.2.3

Rewrite the expression.

$i = \frac{26256 %}{1}$

Step 4.1.5.2.4

Divide

$26256 %$ by

$1$ .

$i = 26256 %$

Step 4.1.6

Simplify the expression.

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Step 4.1.6.1

Convert

$6 %$ to a decimal.

$i = 2625 \cdot 0.06$

Step 4.1.6.2

Multiply

$2625$ by

$0.06$ .

$i = 157.5$