807 Answered Questions for the topic Calculus 1

Calculus 1 Calculus Finance Calc

03/15/21

Find the marginal cost function. ​C(x)=210+3.3x−0.07x^2
Find the marginal cost function.​C(x)=210+3.3x−0.07x^2C′(x)= _______
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Calculus 1 Calculus Finance Calc

03/15/21

9.7: The total cost​ (in dollars) of producing x food processors is ​C(x)=2500+70x−0.1x^2.
The total cost​ (in dollars) of producing x food processors is ​C(x)=2500+70x−0.1x^2.​(A) Find the exact cost of producing the 71st food processor.​(B) Use the marginal cost to approximate the cost... more
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03/10/21

If an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f(x)=240x−16x^2​, find the following.
If an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f(x)=240x−16x^2​, find the following.​(A) The instantaneous velocity function... more
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03/10/21

9.5.89: The total sales of a company​ (in millions of​ dollars) t months from now are given by S(t)=0.04t^3+0.8t^2+8t+7.

The total sales of a company​ (in millions of​ dollars) t months from now are given by S(t)=0.04t^3+0.8t^2+8t+7. ​(A) Find S′(t).​(B) Find ​S(6​) and S′(6) ​(to two decimal​ places).​(C) Interpret... more
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03/10/21

The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+70x−0.3x^2.
The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+70x−0.3x^2.​(A) Find the exact cost of producing the 91st food processor.​(B) Use the marginal cost to approximate the... more
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03/10/21

The total cost​ (in dollars) of producing x food processors is ​C(x)=2100+80x−0.5x^2.
The total cost​ (in dollars) of producing x food processors is ​C(x)=2100+80x−0.5x^2.​(A) Find the exact cost of producing the 41st food processor.​(B) Use the marginal cost to approximate the... more
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03/10/21

Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.
Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.The marginal average cost function is C′(x)= ______________
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03/10/21

Find the marginal profit function if cost and revenue are given by ​C(x)=224+0.8x and R(x)=6x−0.05x^2.
Find the marginal profit function if cost and revenue are given by ​C(x)=224+0.8x and R(x)=6x−0.05x^2.P′(x)= ________
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03/10/21

Find the profit function if cost and revenue are given by ​C(x)=128+2.4x and R(x)=8x−0.03x^2
Find the profit function if cost and revenue are given by ​C(x)=128+2.4x and R(x)=8x−0.03x^2The profit function is ​P(x)= ________
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03/10/21

Find the marginal revenue function.
Find the marginal revenue function.​R(x)=x(17−0.05x)R′(x)= _________
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03/10/21

9.7.11 Find the marginal cost function
Find the marginal cost function.​C(x)=210+3.3x−0.07xC′(x) = ____________
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02/22/21

How to solve these computations
Hey I'm looking to check my answers to make sure these computations are correct. The definition used isLet u = i + 2j - k, v = 3i - j + 4k and w = 2j - kCalculate u • vCalculate u x vCalculate (u x... more
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12/17/20

Explain why that is false. Find the annual interest rate compounded monthly that is actually being charged for financing ​$17,475 with 72 monthly payments of ​$299.
The ad for a​ 4-door sedan claims that a monthly payment of ​$299 constitutes​ 0% financing. Explain why that is false. Find the annual interest rate compounded monthly that is actually being... more
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12/17/20

If payments are made at the end of each​ period, how much money will be in the account in 6 ​years?
In order to accumulate enough money for a down payment on a​ house, a couple deposits $254 per month into an account paying 6% compounded monthly. If payments are made at the end of each​ period,... more
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12/15/20

The principal P is borrowed and the​ loan's future value A at time t is given. Determine the​ loan's simple interest rate r to the nearest tenth of a percent.
The principal P is borrowed and the​ loan's future value A at time t is given. Determine the​ loan's simple interest rate r to the nearest tenth of a percent.P​ = ​$2300.00​, A​ = ​$2328.75​, t​ =... more
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12/15/20

You can afford monthly deposits of $250 into an account that pays 2.7% compounded monthly. How long will it be until you have $10,000 to buy a​ boat?
You can afford monthly deposits of $250 into an account that pays 2.7% compounded monthly. How long will it be until you have $10,000 to buy a​ boat?Type the number of​ months: ___________​(Round... more
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12/15/20

3.3 Use technology and the future value formula to find i. FV=​$7,426​; PMT=​$600​; n=9​; i=​?
Use technology and the future value formula to find i.FV=​$7,426​; PMT=​$600​; n=9​; i=​?i=_______​(Round to two decimal places as​ needed.)
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12/15/20

If one can is selected at random from the​ cooler, determine the probability that the soda selected is cola​, orange soda, or root beer.
A cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of​ cola, 42 cans of orange​ soda, 16 cans of ginger​ ale, and 12 cans of root beer. The cans are all the same... more
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12/15/20

Find and simplify the expression if f(x)=x2−3. ​f(2+​h)
Find and simplify the expression if f(x)=x2−3.​f(2+​h)​f(2+​h)= _______ ​(Simplify your answer. Do not​ factor.)
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12/15/20

Using the formula for simple interest and the given​ values, find I.
Using the formula for simple interest and the given​ values, find I.P=$300​; r=8%​; t=7 years​; I=​?
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12/15/20

Calculus Challenge Question URGENT!
I need to catch my flight. I’m at the airport and I’m running late. I need to make it 1000m to get to my gate. I have two choices. I can either run or take the moving sidewalk. The moving sidewalk... more
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12/14/20

If one can is selected at random from the​ cooler, determine the probability that the soda selected is ginger ale​, orange soda, or root beer.

A cooler at a picnic contains 100 cans of soda covered by ice. There are 34 cans of​ cola, 38 cans of orange​ soda, 11 cans of ginger​ ale, and 17 cans of root beer. The cans are all the same size... more
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12/14/20

Use the future value formula to find the indicated value.
Use the future value formula to find the indicated value.FV=$5774​; n=9​; i=0.06​; PMT=?PMT=​$_______​(Round to the nearest​ cent.)
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12/14/20

Use the future value formula to find the indicated value.
Use the future value formula to find the indicated value.n=50​; i=0.04​; PMT=$92​; FV=?FV=​$____________​(Round to the nearest​ cent.)
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10/26/20

Use technology and the future value formula to find i. FV=​$7,426​; PMT=​$600​; n=9​; i=​?
Use technology and the future value formula to find i.FV=​$7,426​; PMT=​$600​; n=9​; i=​?i=______​(Round to two decimal places as​ needed.)
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