165 Answered Questions for the topic Precalc

#### 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...
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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,...
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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 =...
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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...
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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...
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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...
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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,...
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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.)

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...
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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...
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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.)

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...
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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?

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...
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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.)

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...
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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=...
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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 =...
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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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