  The growth of Mary's income is modeled using the continuous streamf(t)=3,000+0.05t2where t is the number of months since the beginning of the year. Calculate the total income that Mary will earn after one year. Give your answer to the nearest dollar. Do not include commas or a dollar sign in your answer.

Question

The growth of Mary's income is modeled using the continuous stream

f(t)=3,000+0.05t2
where t is the number of months since the beginning of the year. Calculate the total income that Mary will earn after one year. Give your answer to the nearest dollar. Do not include commas or a dollar sign in your answer.

Step 1

Given:

The growth of Mary’s income is modeled by f(t) = 3000 + 0.05t2  in dollars.

Here, t represents the number of months.

Step 2

Calculation:

Substitute t = 12 in f(t) to calculate the total income ...

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