Calculus Examples

$P = 100 (1 + 0.2 t + 0.02 t^{2})$

Step 1

Apply the distributive property.

$P = 100 \cdot 1 + 100 (0.2 t) + 100 (0.02 t^{2})$

Step 2

Simplify.

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Step 2.1

Multiply $100$ by $1$ .

$P = 100 + 100 (0.2 t) + 100 (0.02 t^{2})$

Step 2.2

Multiply $0.2$ by $100$ .

$P = 100 + 20 t + 100 (0.02 t^{2})$

Step 2.3

Multiply $0.02$ by $100$ .

$P = 100 + 20 t + 2 t^{2}$

Step 3

Move $100$ .

$P = 20 t + 2 t^{2} + 100$

Step 4

Reorder $20 t$ and $2 t^{2}$ .

$P = 2 t^{2} + 20 t + 100$