73 Answered Questions for the topic Pre Calc

03/25/21

Pre Calc AB Continuous Growth

A new app was downloaded 175 times in its first week. Since then, the number of downloads increased by 16.5% each week. a) Write a continuous exponential growth model to approximate the number of... more

03/20/21

10.2: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=10e^x+2x​; x=0 y= ________

Find the equation of the line tangent to the graph of f at the indicated value of x.f(x)=10e^x+2x​; x=0y= ________

03/19/21

Find dy/dx for the function y=29^x.

Find dy/dx for the function y=29^x.dy/dx= ______

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

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)= ________

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)= ________

02/12/21

PRE CALC AB - A new app was downloaded 175 times in its first week. Since then, the number of downloads increased by 16.5% each week.

A new app was downloaded 175 times in its first week. Since then, the number of downloads increased by 16.5% each week. a) Write a continuous exponential growth model to approximate the number of... more

02/12/21

PRE CALC AB - A decaying radioactive ore has a half life of 1710 years.

A decaying radioactive ore has a half life of 1710 years.a) Write the exponential decay function for a 27 gram sample. b) Find the amount remaining in 3000 years.

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

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

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.)

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

12/15/20

In a family with 5 ​children, excluding multiple​ births, what is the probability of having 5 girls​? Assume that a girl is as likely as a boy at each birth.

In a family with 5 ​children, excluding multiple​ births, what is the probability of having 5 girls​? Assume that a girl is as likely as a boy at each birth.Find the number of elements in event​ E,... more

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=​?

12/14/20

Pre calculus compounding interest questions

You have received a large inheritance your goal is to double it. How long will it have to remain on each of the following investments to reach your goala) compounded monthly at an APR of 18.55%b)... more

12/14/20

Find and simplify the expression if f(x)=x2−4. ​f(7+​h)

Find and simplify the expression if f(x)=x2−4.​f(7+​h)​f(7+​h)= _________​(Simplify your answer. Do not​ factor.)

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

12/14/20

Solve the following problem. n=29​; i=0.033​; PMT=$195​; PV=?

Solve the following problem.n=29​; i=0.033​; PMT=$195​; PV=?PV=$________ ​(Round to two decimal​ places.)

12/14/20

Find i​ (the rate per​ period) and n​ (the number of​ periods) for the following loan at the given annual rate.

Find i​ (the rate per​ period) and n​ (the number of​ periods) for the following loan at the given annual rate.Annual payments of ​$4,700 are made for 11 years to repay a loan at 4.85​% compounded... more

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.)

12/13/20

Use the continuous compound interest formula to find the indicated value. P=​$5,000​; r=3.22​%; t=6 ​years; A=​?

Use the continuous compound interest formula to find the indicated value.P=​$5,000​; r=3.22​%; t=6 ​years; A=​?A=​$_______ ​(Round to two decimal places as​ needed.)

12/10/20

Consider the experiment of spinning the spinner once. Find the probability that the spinner lands on blue.

A circular spinner is divided into 16 sectors of equal​ area: 5 red​ sectors, 5 ​blue, 4 ​yellow, and 2 green. Consider the experiment of spinning the spinner once. Find the probability that the... more

12/10/20

A survey of 1200 people in a certain city indicates that 830 own microwave​ ovens, 720 own DVD​ players, and 570 own microwave ovens and DVD players.

A survey of 1200 people in a certain city indicates that 830 own microwave​ ovens, 720 own DVD​ players, and 570 own microwave ovens and DVD players.​(A) How many people in the survey own either a... more

12/10/20

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

A cooler at a picnic contains 100 cans of soda covered by ice. There are 19 cans of​ cola, 34 cans of orange​ soda, 46 cans of ginger​ ale, and 1 cans of root beer. The cans are all the same size... more

12/08/20

A survey of 1200 people in a certain city indicates that 830 own microwave​ ovens, 720 own DVD​ players, and 570 own microwave ovens and DVD players.

A survey of 1200 people in a certain city indicates that 830 own microwave​ ovens, 720 own DVD​ players, and 570 own microwave ovens and DVD players.​(A) How many people in the survey own either a... more

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