Calculus Examples

$f (t) = 16 {(1.4)}^{t}$

Step 1

Since $1.4$ is greater than $1$ , there is an exponential growth.

$a {(1 + r)}^{t}$

Step 2

Setup the rate equation.

$1 + r = 1.4$

Step 3

Solve $1 + r = 1.4$ for $r$ to determine the growth factor.

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Step 3.1

Move all terms not containing $r$ to the right side of the equation.

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Step 3.1.1

Subtract $1$ from both sides of the equation.

$r = 1.4 - 1$

Step 3.1.2

Subtract $1$ from $1.4$ .

$r = 0.4$

Step 4

Convert to a percentage.

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Step 4.1

Multiply $0.4$ by $100$ to convert to a percentage.

$0.4 \cdot 100$

Step 4.2

Simplify $0.4 \cdot 100$ .

$40 %$