188 Answered Questions for the topic Precalc

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

. Find the probability that the spinner lands on blue. Find the number of elements in event​ E, n(E), and the total number of outcomes in the sample​ space, n(S).
A circular spinner is divided into 9 sectors of equal area. There are 2 red​ sectors, 3 ​blue, 3 ​yellow, and 1 green. Consider the experiment of spinning the spinner once. Find the probability... more
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12/15/20

An experiment consists of drawing 1 card from a standard​ 52-card deck. What is the probability of drawing a black card​?

An experiment consists of drawing 1 card from a standard​ 52-card deck. What is the probability of drawing a black card​? Find the number of elements in event​ E, n(E), and the total number of... more
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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
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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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12/14/20

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.)
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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

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
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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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12/13/20

Use the compound interest formula to find the future value A for the following values.
Use the compound interest formula to find the future value A for the following values.P=$1,500i=0.046n=27A=$______ ​(Round to the nearest​ cent.)
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12/10/20

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... more
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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
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12/08/20

A class of 50 music students includes 12 who play the​ piano, 14 who play the​ guitar, and 5 who play both the piano and the guitar.
A class of 50 music students includes 12 who play the​ piano, 14 who play the​ guitar, and 5 who play both the piano and the guitar.How many students in the class play neither​ instrument?
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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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12/07/20

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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12/04/20

The Unit Circle and Trignomoetric Functions

Use the Sum Formula for Cosine to derive the following identity for the average rate of change of the cosine function:cos (x + h) − cos x /h = cos x (cos h − 1)/h − sin x (sin h)/h Note: You will... more
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11/02/20

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=... more
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11/02/20

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​ = ​$3400.00​, A​ = ​$3472.25​, t​ =... more
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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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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​... more
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10/26/20

Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV=​$11,000​; PMT=​$500​; n=40​; i=​?
Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem.PV=​$11,000​; PMT=​$500​; n=40​; i=​?i= _________ ​(Type an integer or... more
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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... more
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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​... more
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