Math Questions

24. Maggie wants to make at least $200 a week and can work no more than 30 hours a week. She works at the library for $8 an hour and babysits for $6 an hour. What system of inequalities shows the possible combination of hours and jobs she can work?

Present value. A promissory note will pay $25,000 at maturity 6 years from now. How much should you be willing to pay for the note now if money is worth 4.5% compounded continuously?

Find the next term of the following sequence. 9, 6, 4, ... 8/3 3 2

The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, days absent, current grade level, standardized test scores in reading and mathematics, and any disabilities or special educational needs the student may have. Which of the following are categorical (or qualitative) variables in these records? Reading Test Score Disabilities or Special Needs Mathematics Test Score Current Grade Level Race or Ethnicity Student Name Days Absent Age

Two points P and Q in the Argand diagram rep- resent complex numbers z and 3z + 2 + i. If P moves arround the circle with centre at the origin and radius 2, then Q moves on the circle, whose centre and radius are (a) -2-i, 6 (c) 2+ i, 6 (b) 2-i, 3 (d) 2+ i, 3

Find the consumers' surplus and the producers' surplus at the equlibrium level for the given price-demand and price-supply equations. Include a graph that identifies the consumers' surplus and the producers' surplus. Round all values to the nearest integer. p=D(x)=65.1-0.09x; p= S(x) = 10 +0.1x

A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 5 feet per minute. Find the rate at which the area is changing at the instant the radius is 15 feet.

For the jumble puzzle VOBAE, complete the parts below. a) Determine the number of possible arrangements of the letters given. b) What is the word when the letters are placed in the proper order? a) There are possible arrangements.

Describe a function g(z) in terms of f(x) if the graph of g is obtained by vertically stretching f by a factor of 7, then shifting the graph off to the right 2 units and upward 8 units. g(x) = Af(x +B) + C where

Simplify the following expression completely. 6x²/(8x^2+10x)

A pea plant must have exactly one of each of the following pairs of traits: short (s) or tall (t) and white (wh) or purple (p) flowers (for example, short with white flowers). (a) How many different classifications of pea plants are possible? There are 16 classifications.

For the given data: 22; 9; 19; 2; 38; 40; 7; 38; 44; 6; 12; 10; 20; 31; 48; 45 Determine the Quartiles, Q1, Q2 and Q3 of the data: Q1: Q2: Q3:

The Triple L investment club is considering purchasing a certain stock. After considerable research, the club members determine that there is a 50% chance of making $13,000, a 10% chance of breaking even, and a 40% chance of losing $6,600. Find the expectation of this purchase.

At a homeowners' association meeting, a board member can vote yes, vote no, or abstain on a motion. There are three motions on which each board member must vote. Complete parts (a) through (e) below.

The odds in favor of Frank McKinnis winning a hot dog eating contest are 2 : 9. a. Determine the probability that Frank will win the contest. b. Determine the probability that Frank will not win the contest. a. The probability that Frank will win the contest is b. The probability that Frank will not win the contest is

If the odds in favor of Chris winning the election are 9:4, then what is the probability that a) Chris wins. b) Chris does not win. What is the probability that Chris will win the election?

Use a graphing calculator to approximate the critical numbers of f(x) to two decimal places. Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x² - 4x³ +7x Approximate the critical numbers of f(x). Choose the correct answer below. A. x=-0.69, x=0.92, x= 4.69 B. x=-0.69, x=0.92, x=2.77, x=4.69 C. x=-0.69, x=0.92 D. x= -0.69, x=0.92, x=2.77

An antique dealer stores her trunks in a shed that is 80 square feet. There are two sizes of trunks, trunk A takes up 6 square feet of space and trunk B takes up 5 square feet of space. The shed can hold a maximum of 10 trunks. If x is the number of trunk A and y is the number of trunk B, which constraint below shows the total number of trunks that the shed can hold?

Present value. A promissory note will pay $65,000 at maturity 7 years from now. How much should you be willing to pay for the note now if money is worth 4% compounded continuously? (Round to the nearest dollar.).

Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $3 each. How much total money would Hawa have to pay for her family if she were to buy 10 snacks for everybody to share? How much would Hawa have to pay if she bought a snacks for everybody to share?

Form the negation of the statement. There is a rainbow. Choose the correct answer below. A. There are clouds. B.There is not a rainbow. C. There are never rainbows. D. Sometimes there are not rainbows.

Find the dimensions of a rectangle with a perimeter of 192 feet that has the maximum area. The side lengths are feet. (Use a comma to separate answers as needed.)

The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose the tower has a base diameter of 210 meters and the diameter at its narrowest point, 48 meters above the ground, is 70 meters. If the diameter at the top of the tower is 140 meters, how tall is the tower?

Which value of r indicates a stronger correlation: r=0.826 or r=-0.858? Explain your reasoning. Choose the correct answer below. A. r=0.826 represents a stronger correlation because 0.826> - 0.858. B. r=0.826 represents a stronger correlation because | -0.858| > |0.826]. C. r= -0.858 represents a stronger correlation because | -0.858| > |0.826]. D. r=-0.858 represents a stronger correlation because 0.826> - 0.858.

Find all the roots and check your answers. 16x²-25=0 X= (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)

A hat contains 3 marbles; one red, one blue, and one yellow. Two marbles are selected at random without replacement from the hat. Complete parts a) through e). a) Determine the number of sample points in the sample space. There are sample points in the sample space.

The time it takes Natalie to replace x cell phone screens is given by the equation t = 1+ 3x, where t gives the time in hours. How many hours would it take Natalie to replace 8 screens? A) 25 B) 24 C) 22 D) 4

If two states are selected at random from a group of 30 states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement.

What's the circumference of a circle with a diameter of 16 inches? Use 3.14 for π.

Melissa received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.79 per pound. After buying the coffee, she had $36.05 left on her card. How many pounds of coffee did she buy?

The path of a marble rolling off of a desk can be modeled by the parametric equations: x (t) = 2.5t y (t) = -16t² +3 In these equations, the horizontal and vertical positions of the marble z (t) and y (t) are in feet and t is measured in seconds. Use Desmos and scratch paper to complete the following prompts. A. The marble will hit the ground after how many seconds?

You owe $32,000 on student loans at an interest rate of 5.25% compounded monthly. You want to pay off the loan in 13 years. What will your monthly payments be?

You want to buy a new car. You can afford payments of $425 per month and can borrow the money at an interest rate of 4.7% compounded monthly for 5 years. How much are you able to borrow?

Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of time, the first person standing at point A hears the burst. Six seconds later, the second person standing at point B hears the burst. If the person at point B is due west of the person at point A and if the display is known to occur due north of the person at point A, where did the fireworks display occur? Note that sound travels at 1100 feet per second.

Dilbert invests $14,000 at 3% simple interest for 5 year. How much is in the account at the end of the 5 years period?

Use the price-demand equation to determine whether demand is elastic, inelastic, or has unit elasticity at the indicated value of p. x= f(p) = 12,000 - 40p², p=9 Is the demand inelastic, elastic, or unit? Unit Inelastic Elastic

According to the Rational Root Theorem,-2/5is a potential rational root of which function? f(x) = 4x^4-7x²+x+25 f(x) = 9x^4-7x² + x + 10 f(x) = 10x^4-7x²+x+9 f(x) = 25x^4-7x²+x+4

Use the difference of cubes formula to factor. Be sure to factor out any common factors. 8x^3 - 125 =

22) What would the graph of the following inequality look like? * x≤-4 Open circle, arrow towards the right Open circle, arrrow towards the left Closed circle, arrow towards the right Closed circle, arrow towards the left

Maria invests $13,000 at 8% simple interest for 10 year. How much is in the account at the end of the 10 years period?

Don is considering bringing a lawsuit against the Dummote Company. His lawyer estimates that there is a 60% chance Don will make $60,000, a 30% chance Don will break even, and a 10% chance they will lose the case and Don will need to pay $10,000 in legal fees. Estimate Don's expected gain or loss if he proceeds with the lawsuit. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. Don has an expected gain of $ B. Don has an expected loss of S C. Don has neither an expected gain nor expected loss.

Solve by using the strategies for solving application problems. It costs a manufacturer $9.99 to produce sunglasses that sell for $34.99. How many pairs of sunglasses must the manufacturer sell to make a profit of $18,125? Step 1 This real-world problem can be solved using a linear equation. Let x be the number of pairs of sunglasses. The sell price of one pair is $34.99. The revenue generated after selling x pairs is, therefore, Revenue = x dollars. It costs the manufacturer $9.99 to produce one pair of sunglasses. The total cost of producing x pairs is, therefore, Cost = x dollars.

Brad, Lance, Allen, and John are all brothers. They are measuring and comparing their heights. They have found that Lance is exactly 1 foot taller than Brad and John is exactly 1 foot taller than Allen. They also found that the product of Brad's and Lance's heights is equal to Allen's height and if they subtract 1 foot from both Brad's and Lance's height, the product is equal to John's height. Create a system of equations to model the situation above, and use it to determine if there are any solutions. If there are any solutions, determine if they are viable or not. A. There is only 1 solution, and it is viable. B. There are 2 solutions, and only 1 is viable. C. There is only 1 solution, and it is not viable. D. There are no solutions

The last 60 boat rentals at a boat rental company were 38 sunfish, 12 kayaks, and 10 rowboats. Use this information to complete parts (a) through (c). a) Determine the empirical probability that the next boat rental is a sunfish. b) Determine the empirical probability that the next boat rental is a kayak. c) Determine the empirical probability that the next boat rental is a rowboat. a) P(sunfish) = (Type an integer or a simplified fraction.)

You want to buy a $187,000 home. You plan to pay 15% as a down payment, and take out a 30 year loan for the rest. a) How much is the loan amount going to be? b) What will your monthly payments be if the interest rate is 5%? c) What will your monthly payments be if the interest rate is 6%?

The vertices of ΔJKL have coordinates J(5, 1), K(-2, -3), and L(-4,1). Under which transformation is the image ΔJ'K'L' not congruent to ΔJKL? (A) a translation of two units to the right and two units down (B) a counterclockwise rotation of 180 degrees around the origin (C) a reflection over the x-axis (D) a dilation with a scale factor of 2 and centered at the origin

Determine if the given relation is also a function. {(-4,- 6), (7, − 1), (-2,9), (3,6)} Is the relation a function? No Yes

A bag contains eight batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select two batteries at random, use the counting principle to determine how many points will be in the sample space if the batteries are selected a) with replacement. b) without replacement.

David is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis? the mean of the population the mean of the sample the standard deviation of the population the significance level of the test

The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 20 minutes late. (b) It is 10 A.M. There is a 30% probability the friend will arrive within how many minutes? (a) The probability that the friend is between 10 and 20 minutes late is 0.333. (Type an integer or a decimal. Round to three decimal places as needed.) (b) There is a 30% probability the friend will arrive within minutes.