165 Answered Questions for the topic Precalc

17d

sin (theta+48°) = cos 2theta. What is the second step to find theta? What does theta equal?

Any help with this would be greatly appreciated.

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

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

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

. 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

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

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

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.)

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

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

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.FV=$5774​; n=9​; i=0.06​; PMT=?PMT=​$_______​(Round to the nearest​ cent.)

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 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.)

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

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 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?

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

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.)

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

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

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

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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