Finite Math Examples

$A (60) = 1200 {(\frac{1}{2})}^{\frac{t}{14}}$

Step 1

Divide each term in $A (60) = 1200 {(\frac{1}{2})}^{\frac{t}{14}}$ by $60$ .

$\frac{A \cdot 60}{60} = \frac{1200 {(\frac{1}{2})}^{\frac{t}{14}}}{60}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $60$ .

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Step 2.1.1

Cancel the common factor.

$\frac{A \cdot 60}{60} = \frac{1200 {(\frac{1}{2})}^{\frac{t}{14}}}{60}$

Step 2.1.2

Divide $A$ by $1$ .

$A = \frac{1200 {(\frac{1}{2})}^{\frac{t}{14}}}{60}$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $1200$ and $60$ .

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Step 3.1.1

Factor $60$ out of $1200 {(\frac{1}{2})}^{\frac{t}{14}}$ .

$A = \frac{60 (20 {(\frac{1}{2})}^{\frac{t}{14}})}{60}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $60$ out of $60$ .

$A = \frac{60 (20 {(\frac{1}{2})}^{\frac{t}{14}})}{60 (1)}$

Step 3.1.2.2

Cancel the common factor.

$A = \frac{60 (20 {(\frac{1}{2})}^{\frac{t}{14}})}{60 \cdot 1}$

Step 3.1.2.3

Rewrite the expression.

$A = \frac{20 {(\frac{1}{2})}^{\frac{t}{14}}}{1}$

Step 3.1.2.4

Divide $20 {(\frac{1}{2})}^{\frac{t}{14}}$ by $1$ .

$A = 20 {(\frac{1}{2})}^{\frac{t}{14}}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Apply the product rule to $\frac{1}{2}$ .

$A = 20 \frac{1^{\frac{t}{14}}}{2^{\frac{t}{14}}}$

Step 3.2.2

One to any power is one.

$A = 20 \frac{1}{2^{\frac{t}{14}}}$

Step 3.3

Combine $20$ and $\frac{1}{2^{\frac{t}{14}}}$ .

$A = \frac{20}{2^{\frac{t}{14}}}$