The growth of Mary's income is modelled 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 68E
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The growth of Mary's income is modelled 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.

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