179 Answered Questions for the topic Precalc

03/21/21

#### 9.5: For f(x)=2x4−4x2+5 find the following. (A) f′(x) (B) The slope of the graph of f at x=2 (C) The equation of the tangent line at x=2 (D) The value(s) of x where the tangent line is...

For f(x)=2x4−4x2+5 find the following.(A) f′(x)(B) The slope of the graph of f at x=2 (C) The equation of the tangent line at x=2 (D) The value(s) of x where the tangent line is horizontal

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= ________

03/10/21

#### If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is given by f(x)=240x−16x^2, find the following.

If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is given by f(x)=240x−16x^2, find the following.(A) The instantaneous velocity function...
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03/10/21

#### The total cost (in dollars) of producing x food processors is C(x)=2200+70x−0.3x^2.

The total cost (in dollars) of producing x food processors is C(x)=2200+70x−0.3x^2.(A) Find the exact cost of producing the 91st food processor.(B) Use the marginal cost to approximate the...
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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...
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03/10/21

#### Find the marginal average cost function if cost and revenue are given by C(x)=144+5.8x and R(x)=9x−0.07x^2.

Find the marginal average cost function if cost and revenue are given by C(x)=144+5.8x and R(x)=9x−0.07x^2.The marginal average cost function is C′(x)= ______________

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)= ________

03/10/21

#### Find the marginal revenue function.

Find the marginal revenue function.R(x)=x(17−0.05x)R′(x)= _________

03/10/21

#### 9.7.11 Find the marginal cost function

Find the marginal cost function.C(x)=210+3.3x−0.07xC′(x) = ____________

02/17/21

#### Precalc exponential function

If f(x) = 3x – 2, find the exponential function which passes through f(6) and f(20). Round to the nearestthousandth.How do you do this question?? Do you use logs?

02/12/21

#### Solve the equation. Round to 4 decimal places when necessary.

(1/9)^k ⋅ 27^k+4 = (1/81)^3-k

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...
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02/12/21

#### PRE CALC AB - Kale invested $1,500 in an account with an interest rate of 6.5%.

Kale invested $1,500 in an account with an interest rate of 6.5%. a) Write an exponential equation to find the account balance in t years if the interest is compounded monthly? b) What will be the...
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#### 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.)

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