Calculus Examples

$p (t) = {1.8}^{t}$

Step 1

Since $1.8$ is greater than $1$ , there is an exponential growth.

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

Step 2

Setup the rate equation.

$1 + r = 1.8$

Step 3

Solve $1 + r = 1.8$ for $r$ to determine the growth factor.

Tap for more steps...

Step 3.1

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

Tap for more steps...

Step 3.1.1

Subtract $1$ from both sides of the equation.

$r = 1.8 - 1$

Step 3.1.2

Subtract $1$ from $1.8$ .

$r = 0.8$

Step 4

Convert to a percentage.

Tap for more steps...

Step 4.1

Multiply $0.8$ by $100$ to convert to a percentage.

$0.8 \cdot 100$

Step 4.2

Simplify $0.8 \cdot 100$ .

$80 %$