Evaluate h(t)=175(1.028)^5

$h (t) = 175 {(1.028)}^{5}$

Simplify.

Raise $1.028$ to the power of $5$ .

$h t = 175 \cdot 1.14806261$

Multiply $175$ by $1.14806261$ .

$h t = 200.91095683$

Divide each term in $h t = 200.91095683$ by $t$ and simplify.

Divide each term in $h t = 200.91095683$ by $t$ .

$\frac{h t}{t} = \frac{200.91095683}{t}$

Simplify the left side.

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{h t}{t} = \frac{200.91095683}{t}$

Divide $h$ by $1$ .

$h = \frac{200.91095683}{t}$