The rate of change of a company's total sales, in millions of dollars per month, after $t$ months is given by $s (t) = \frac{3}{4 4 t} + \frac{0.2}{t} + 9.$ After 5 months, the company earned 63.2381 million dollars in sales. Find a function representing the company's total sales after $t$ months. Note: $s (t)$ is sometimes used in place of $S^{'} (t)$ for the rate of change as the meaning is the same: $s (t) = S^{'} (t)$ . $S (t) =$ millions of dollars per month.

Question

The rate of change of a company's total sales, in millions of dollars per month, after

t

months is given by

s (t) = \frac{3}{4 4 t} + \frac{0.2}{t} + 9.

After 5 months, the company earned 63.2381 million dollars in sales. Find a function representing the company's total sales after

t

months. Note:

s (t)

is sometimes used in place of

S^{'} (t)

for the rate of change as the meaning is the same:

s (t) = S^{'} (t)

.

S (t) =

millions of dollars per month.

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