Math Questions

A publisher has fixed costs of $74,968 on a book for development, editing, and advertising. It costs the publisher $4 per copy at the printer. The publisher charges $30 per copy. Write the linear profit function that represents the profit, P(x), for the number of books sold. A. P(x)=-26x + 74,968 B. P(x) = 26x+74,968 C. P(x) = 34x+74,968 D. P(x) = 26x-74,968 E. P(x) = 34x-74,968

Find the functions which are parallel. I. 3x + 5y = 9 II. 3x + 8y = 12 III. 3x + 9 = -5y IV. 27x - 45y = 1 I and IV I and III II and III

Find the producer's surplus if the supply function of some item is given by S(x)=x²+2x+8. Assume that supply and demand are in equilibrium at x = 30. A. 12,700 B. 17,200 C. 18,900 D. 19,800

A family wants to purchase a house that costs $190,000. They plan to take out a $140,000 mortgage on the house and put $50,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $723.49 and with a 30-year mortgage their monthly payment would be $520.82. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage. How much would they save if they selected the 15-year mortgage?

Suppose that $1600 is invested at an interest rate of 2.5% per year, compounded continuously. After how many years will the initial investment be doubled? Do not round any intermediate computations, and round your answer to the nearest hundredth.

The rate of growth of profit (in millions) from an invention is approximated by P'(x)=xe OA. P(x) = -5e 1 OB. P(x) = -- ze OC. P(x) = -5e OD. P(x)=-e -+² -x² 1² +0.044 - 44,000 + 44,000 -0.044 where x represents time in years. The total profit in year 2 that the invention is in operation is $35,000. Find the total profit function P(x).

In deciding whether or not to set up a new manufacturing plant, analysts for a popcorn company have decided that a linear function is a reasonable estimation for the total cost C(x) in dollars to produce x bags of microwave popcorn. They estimate the cost to produce 10,000 bags as $5,340 and the cost to produce 15,000 bags as $7,710. Find the marginal cost of the bags of microwave popcorn to be produced in this plant. Round answer to the nearest cent. A. $4.74 B. $0.47 C. $0.24 D. $47.40 E. $2.11

A lumber yard has fixed costs of $6,478.7 a day and variable costs of $1 per board-foot produced. The company gets $2.7 per board-foot sold. How many board-feet must be produced daily to reach the break-even point? A. 1,751 board-feet B. 3,811 board-feet C. 2,540 board-feet D. 6,478 board-feet CXXXP

17. Basketball Team A scored 4 three-point baskets, 22 two-point baskets, and 7 one-point baskets in a game versus team B. Team B scored 8 three-point baskets, 18 two-point baskets and 12 one-point baskets in the game. Write a 2 x 3 matrix that organizes this data. Let team A be row I, team B be row 2, three-pointers be column I, two-pointers be column 2, and one-pointers be column 3.

12-35. For each of the following equations, list all of the solutions without using a calculator. Use the unit circle or a graph to check your answer. Then, predict the solution that your calculator will give, and use your calculator to check your prediction. a. 2cos(x) - 1 = 0 b. 4sin²(x) - 3 = 0 c. 2sin(x) = √3

Four congruent isosceles right triangles are added to the edges of a regular octagon to form a square, as shown. If the legs of each of the four triangles are 3 centimeters long, which measure is closest to the perimeter of the octagon? OA. 24.0 cm OB. 25.5 cm OC. 33.9 cm OD. 72.0 cm

Give an example to show that the commutative property does not hold for the set of integers under the operation of division. Select each of the following that shows that the commutative property does not hold for the set of integers under the operation of division. A. 4+2#2÷4 B. 9+(6+2) # (9÷6)÷(9÷2) C. (10÷5) ÷2# (5÷10) ÷2 D. (18÷6)÷3# 18÷(6÷3)

Use the discriminant to determine whether the quadratic equation has zero, one, or two distinct real solutions. x² + 6x + 1 = 0 The quadratic equation has choose one real solution(s).

The difference in frequency between the first and the fifth harmonic of a standing wave on a taut string is f5 - f1 = 50 Hz. The speed of the standing wave is fixed and is equal to 10 m/s. Determine the difference in wavelength between these modes. A5-A1=-0.64 m A5-A1 -1.60 m A5-A1 = 5m A5-A1 = -0.80 m A5-A1 = 0.20 m

Each voter in a county is given a number that uniquely identifies them. A computer is used to select 500 of these numbers at random. The 500 voters identified by the computer are interviewed for a study. Which type of sampling was used? systematic random cluster convenience

Which of the following functions are parallel? I. 2x+4y=9 II. 5x-3y = 10 III. x + 7y=5 IV. 2x+9=-4y O I and IV OI and III OII and IV

Find the reflection of the function y = x² over y-axis. The reflection along the y-axis is (-x)². The reflection along the y-axis is x³. The reflection along the y-axis is -x².

Evaluate the following expression without using a calculator. Simplify your answer as much as possible, and enter your answer as a fraction. (27/64)* -1/3

One card is selected at random from a deck of cards. Determine the probability of selecting a card that is less than 7 or a diamond. Note that the ace is considered a low card. The probability that the card selected is less than 7 or a diamond is (Type an integer or a simplified fraction.)

The volume of a rectangular pyramid is 60 cubic feet. The width of the base is then scaled by a factor of 3, the length of the base is scaled by a factor of 2, and the height of the pyramid is scaled such that the resulting pyramid has the same volume as the original pyramid. Find the scale factor used for the height. Leave final answer in fraction form.

Identify the horizontally shifted function. y=sin(x) y = (x + 4)² y = 5* x3

Please show all the work that you go through in order to complete the problems. 1. As part of an exercise in an elementary school reading class, the students are given 6 cards that each contain a picture and part of a story. The students are asked to put the cards into an order that tells a coherent story. If a student didn't understand the assignment and had no idea what the intended order was, how many different possible ways could that student choose to place the cards down in order?

The area of a regular pentagon is 50 cm². What is the area of a regular pentagon with sides 6 times the length of the smaller pentagon?

One year Alex had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.29. Also, Sally had the lowest ERA of any female pitcher at the school with an ERA of 2.68. For the males, the mean ERA was 4.047 and the standard deviation was 0.993. For the females, the mean ERA was 4.397 and the standard deviation was 0.626. Find their respective z-scores. Which player had the better year relative to their peers, Alex or Sally? (Note: In general, the lower the ERA, the better the pitcher.)

Select all the correct answers. Which two excerpts are written in a third-person omniscient point of view? Long, long ago there lived an old man and his wife who supported themselves by cultivating a small plot of land. (Yei Theodora Ozaki, "The Story of the Old Man Who Made Withered Trees to Flower") Every morning I lay on the floor in the front parlour watching her door. The blind was pulled down to within an inch of the sash so that I could not be seen. (James Joyce, The Dubliners) You may believe me who adore them, who have long given myself to them without reserve. (Anatole France, "The Adventures of the Soul") "The lamp! Put out the flame and bring me the lamp!" Surprised and suspicious, for why should the stranger, out of all such a treasure want only an old lamp, Aladdin wondered. (Brothers Grimm, "The Adventures of Aladdin") He was a man of exuberant fancy, and, withal, of an authority so irresistible that, at his will, he turned his varied fancies into facts. (Frank R. Stockton, "The Lady, or the Tiger")

(a) What positively impacts your persistence, confidence, and/or enjoyment in any class? Why? (b) What can be improved to increase the positive impact of any STEM class to your persistence, confidence, and/or enjoyment of the class? How would one operationalize your idea(s)?

A doctor is studying the effects that the amount of junk food has on blood pressure. As each patient enters his office, he/she fills out a survey about junk food. The doctor then takes the blood pressure of each patient. Is this an experimental or observational study? Explain your reasoning.

Select the correct answer. What is the key feature of the third-person omniscient point of view? A. It is told from the point of view of a specific character in the story. B.It is used to express the thoughts and feelings of the central character. C.It is used when directly addressing the reader or giving instructions. D. It has an all-knowing narrator who is aware of all the characters' perspectives.

Find the slope of the line X+ 9 = 14. zero 14 undefined

For a certain website, your password must be 10 digits long. If the first 8 digits are any numbers and the last 2 digits are any lower case letters, how many passwords are possible? 67,600,000,000 5,200,000,000 67,600 4,160

A particle moves along a line with a velocity v(t) = -4t + 2, measured in meters per second. Find the total distance the particle travels from t = 0 seconds to t = 2 seconds. Enter an exact answer.

What are the transformations performed in the function y = |x +41-8? 8 units to the right and 4 units up. 4 units to the left and 8 units down. 4 units to the right and 8 units down.

If a system of two equations in two variables is solved graphically, a unique solution exists when: The lines are parallel Both equations yield the same line The lines intersect at two distinct points The lines intersect at one point

What is the name of the transformation of the function f(x) = - tan(x)? Reflection about the x-axis Reflection about the y-axis Horizontal shift

Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 200 voters, 98 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha #.50 (Round to the nearest hundredth)

Find the indicated probability. If P(A and B) = 0.5, P(A) = 0.7, and P(B) = 0.6, find P(A or B).

Chase invested $39,000 in an account paying an interest rate of 3.2% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $66,100?

Emma is going to invest in an account paying an interest rate of 2.6% compounded quarterly. How much would Emma need to invest, to the nearest cent, for the value of the account to reach $66,000 in 7 years?

The Walmart parking lot is a rectangle that measures 420 feet long and 218 feet wide. Each parking space is a rectangle that measures 18 feet long and 9 feet wide. The Saturday before school starts, the parking lot is full. How many cars are parked in the parking lot at Walmart on the Saturday before school starts? Hint: Calculate the area of the parking lot and the area of a parking space to help find the answer. 430 cars 565 cars 670 cars 775 cars

If y is directly proportional to the square root of x and y = 98 when x = 144, find y if x = 20736. (Round off your answer to the nearest hundredth.)

Joseph invested $16,000 in an account paying an interest rate of 5.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 14 years?

Carter invested $3,900 in an account paying an interest rate of 3.9% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 5 years?

In 2007, about 72% of US homes had Internet access. This percentage was expected to increase at an average of 1.7% per year for the next 4 years. Which of the following equations represents the given situation? y=72x+1.7 where x is the number of years y=0.017x+0.72 where x is the number of years y=17x + 72 where x is the number of years

Jamal is watching the wood in a fire pit burn. Jamal started with 35 pounds of wood, and 30% of the wood is burning every hour. Which equation models the amount of wood remaining after t hours? A = 35(0.7)t A = 35 (0.3)t 35 = P(1 -0.3)t A=35t (1-0.3)

The infield of a baseball field is a square with sides measuring 90 feet. A ball thrown from third to first base is caught in 1.2 seconds. Find the speed of the ball in feet per second. Round to the nearest tenth.

The engine in a car is started at time t = 0 and it consumes gasoline at the rate of r(t) = 8 + t - 2t3, measured in gallons per hour. How much gasoline is consumed in the first 2 hours? Provide your answer below:

This is an essay type question. Although Canvas provides space for you to type an answer, you do not need to type anything. This question will be graded completely based on the work that you submit at the end. A. Find the equation of a sphere passing through the point (-1, 2, 4) with center (2, 5,1)? B. Describe the intersection of this sphere with the xy-plane.

Use reference angles to find the exact value of Sin 300 °. Your written work should clearly show how the reference angle, the value of Sine at the reference angle as well as the sign of the Sine function in the respective quadrant are used to find the value of Sin 300 °. The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804%. At this rate the population P(t) (in millions) can be approximated by P(t) = 34 (1.00804)t, where t is the time in years since 2010. Round all population values to the nearest million. Type final answers here and include all interpretations in your written work. 1. Is the graph of P an increasing or decreasing exponential function. 2. Evaluate P(0) and interpret its meaning in the context of this problem. 3. Evaluate P(5) and interpret its meaning in the context of this problem. 4. Evaluate P(15) 5. Evaluate P(25)

Describe the transformations to the parent function. Check all boxes that apply. y = (x + 2)² Reflects across the x-axis (open down) shifts right 2 shifts left 2 shifts up 2 shifts down 2 shifts right 3 shifts left 3 shifts up 3 shifts down 3

In an auditorium with 500 people, one person will be chosen to win a $100 gift card. The rest of the people will receive a $0.25 key chain. What is the probability that you will be chosen to win the gift card? What is the probability that you will receive a key chain? Find the expected value.