235 Answered Questions for the topic calc

Calc Calculus

12d

#### Intervals - calculus

Consider the function ` f(x) = 7 -8 x^2 ` on the interval ` [ -4 , 8 ] `. Find the average or mean slope of the function on this interval, i.e. ` \frac ( f(8) - f(-4) )( 8 - (-4) ) = `...
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14d

#### A company wants to make and sell computers. The price function is p=−90x+1600 (x is the number of computers and p is the price) The weekly cost of production will be 9000$ with an extra 50$ per unit.

A. Find the revenue function in terms of x B. Find the cost function in terms of x using the production cost C. Find the profit function in terms of x D. Evaluate the marginal profit at x=250

#### Compute the volume in the first octant

Use a double integral to compute the volume in the first octant above the region in the xy plane bounded by y=1-x2 , y=0, and x=0; and between the planes z=2-y and z=1

#### calculus question

Find an equation of the tangent line to the graph of the function at the given point.f(x) = e−x ln(x), (1, 0)

#### calculus question

Determine the point(s) at which the graph of f(x) = -3/(sqrrt(2x-1)) has a horizontal tangent.

28d

#### a couple deposits $783 per month into an account paying 3% compounded monthly. If payments are made at the end of each period, how much money will be in the account in 3 years?

In order to accumulate enough money for a down payment on a house, a couple deposits $783 per month into an account paying 3% compounded monthly. If payments are made at the end of each period,...
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28d

#### Find i (the rate per period) and n (the number of periods) for the following annuity. Monthly deposits of $400 are made for 6 years into an annuity that pays 7% compounded monthly.

Find i (the rate per period) and n (the number of periods) for the following annuity.Monthly deposits of $400 are made for 6 years into an annuity that pays 7% compounded monthly.i=...
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28d

#### Use the continuous compound interest formula to find the indicated value.

Use the continuous compound interest formula to find the indicated value.A=$19,798; P=$13,500; t=60 months; r=?r=______%

28d

#### 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 = $3400.00, A = $3472.25, t =...
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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.)

10/26/20

#### Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem.

Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem.PV=$17,000; i=0.005; PMT=$650; n=?n=________ (Round up to the nearest...
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10/26/20

#### The ad for a 4-door sedan claims that a monthly payment of $349 constitutes 0% financing. Explain why that is false.

The ad for a 4-door sedan claims that a monthly payment of $349 constitutes 0% financing. Explain why that is false. Find the annual interest rate compounded monthly that is actually being...
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10/25/20

#### You can afford monthly deposits of $270 into an account that pays 3.9% compounded monthly. How long will it be until you have $6,400 to buy a boat?

You can afford monthly deposits of $270 into an account that pays 3.9% compounded monthly. How long will it be until you have $6,400 to buy a boat?Type the number of months: ______(Round to the...
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10/25/20

#### You can afford monthly deposits of $270 into an account that pays 3.9% compounded monthly. How long will it be until you have $6,400 to buy a boat?

You can afford monthly deposits of $270 into an account that pays 3.9% compounded monthly. How long will it be until you have $6,400 to buy a boat?Type the number of months: ______(Round to the...
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10/25/20

#### What is the APY for money invested at each rate? (A) 11% compounded monthly (B) 12% compounded continuously

What is the APY for money invested at each rate?(A) 11% compounded monthly(B) 12% compounded continuously(A) APY=_______ % (Round to three decimal places as needed.)(B) APY = ________ %...
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10/25/20

#### Use the continuous compound interest formula to find the indicated value. A=$17,673; P=$12,200; t=60 months; r=?

Use the continuous compound interest formula to find the indicated value.A=$17,673; P=$12,200; t=60 months; r=?r=_______%(Round to three decimal places as needed.)

10/25/20

#### Use the continuous compound interest formula to find the indicated value. A=$17,673; P=$12,200; t=60 months; r=?

Use the continuous compound interest formula to find the indicated value.A=$17,673; P=$12,200; t=60 months; r=?r=_______%(Round to three decimal places as needed.)

#### 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.)

10/25/20

#### Find i (the rate per period) and n (the number of periods) for the following annuity. Semiannual deposits of $2,700 are made for 9 years into an annuity that pays 7.2% compounded semiannually.

Find i (the rate per period) and n (the number of periods) for the following annuity.Semiannual deposits of $2,700 are made for 9 years into an annuity that pays 7.2% compounded...
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10/25/20

#### Use the future value formula to find the indicated value. n=22; i=0.02; PMT=$51; FV=?

Use the future value formula to find the indicated value.n=22; i=0.02; PMT=$51; FV=?FV=$ ____________(Round to the nearest cent.)

10/25/20

#### More Money 4U offered an annuity that pays 6.6% compounded monthly. If $1,529 is deposited into this annuity every month, how much is in the account after 12 years? How much of this is interest?

Recently, More Money 4U offered an annuity that pays 6.6% compounded monthly. If $1,529 is deposited into this annuity every month, how much is in the account after 12 years? How much of this...
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10/25/20

#### How many years will it take for an initial investment of $10,000 to grow to $35,000? Assume a rate of interest of 15% compounded continuously.

How many years will it take for an initial investment of $10,000 to grow to $35,000? Assume a rate of interest of 15% compounded continuously.It will take about _____ years for the investment to...
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10/25/20

#### If $15,000 is invested at 3% compounded monthly, what is the amount after 9 years?

If $15,000 is invested at 3% compounded monthly, what is the amount after 9 years?The amount after 9 years will be $ ________ (round to the nearest cent)

10/25/20

#### Use the continuous compound interest formula to find the indicated value. A=$16,142; P=$12,200; t=36 months; r=?

Use the continuous compound interest formula to find the indicated value.A=$16,142; P=$12,200; t=36 months; r=?r=__________%(Round to three decimal places as needed.)

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