Question

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

f(t)=3,000+0.05t^{2}

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 + 0.05*t*^{2} in dollars.

Here, *t *represents the number of months.

Step 2

*Calculation:*

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

Tagged in

Q: find the exact length of the curve of the equation in the picture below make sure to show all work

A: The given curve equation is,

Q: 2,3,4

A: (2) Evaluate the limit as follows.Substitute x = 2 and y = 3 in the given expression.

Q: Suppose you are standing in a field near a straight section of railroad tracks just as the locomotiv...

A: As a first step, let's convert the given information in a diagram. Please see the white board.Let A ...

Q: approximate the area under the graph of f(x) and above using the x-axis using the following methods ...

A: Given infromation:The given function is f(x)=2/x from x=1 from x=9.

Q: How can I get the result? Which is the result

A: To find two positive numbers whose sum is 210 and whose product is a maximum.(a) Analytically comple...

Q: Find the volume of the solid generated when R (shaded region) is revolved about the given line. 28- ...

A: Consider a shaded disc as shown in the diagram on the white board.Radius, R = 14 - y; thickness = dx...

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 56...

A: Let the length of each side of the base= x feet and the height of the box= y feet. Volume = length *...

Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

A: The function is given by,

Q: 34. If a, b, andc are all positive constants and y(x) is a solution of the differential equation ay"...

A: Given that the differential equation is

Sorry about that. What wasn’t helpful?