Math Questions

Dan is putting money into a savings account. He starts with $350 in the savings account, and each week he adds $30. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Dan has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 17 weeks.

Aaron's dad has a pickup truck and his mom has an SUV. Last week, his dad traveled 84 miles in the pickup truck on 4 gallons of gas. His mom traveled 72 miles in the SUV on 3 gallons of gas. How many more miles per gallon did the SUV get than the truck?

Jeremy has a total of $25 in dimes and nickels. He has 4 more dimes than nickels. Which system of equations can be used to determine the number of dimes, d, and the number of nickels, n, that Jeremy has?

Water is passed through a pipe containing porous material to filter out pollutants. Each inch of pipe removes 50% of the pollutant entering. (a) True or false: The first inch of the pipe removes 50 % of the pollutants and the second inch removes the remaining 50 %. (b) What length of pipe is needed to remove all but 8% of the pollutants? Round your answer to three decimal places. inches of pipe removes all but 8% of the pollutants.

Robin is single. Her taxable income is $71,511. Find the tax liability using the Tax Table, Exhibit 18-3 from your text. $8,200.32 $10,280.42 $11,671.92 $15,732.42

Isosceles trapezoid ABCD with AB || CD has m (<A) = m (<B) = 60°, small base CD = 12 cm and non-parallel side BC = 24 cm. Find the large base AB and the lengths of the diagonals AC and BD.

Bernie and LuLu are selling fruit for a local fundraiser. Customers can buy boxes of apples or boxes of oranges. Bernie sold 7 boxes of apples and 7 boxes of oranges for a total of $147. LuLu sold 7 boxes of apples and 10 boxes of oranges for a total of $183. Determine the cost of one box of apples and one box of oranges.

Cesar is making a model of the Eiffel Tower. The height of the tower is 984 feet, and Cesar wants to make a 1.5-foot model. What scale should Cesar use? Find the scale in inches to feet. Round your answer to the nearest tenth of a foot.

Solve the equation 0.05e^-0.344t = 0.15 using natural logs. NOTE: Enter the exact answer. t =

Tiles containing the letters for the word "ENCYCLOPEDIA" are placed in a bag. If you reach into the bag and select one tile at random, what are the odds against drawing the letter E?

Yolanda owns some property that has an assessed value of $59,928. Find the tax due if the tax rate is 8.33% of the assessed value. (Round your answer to the nearest cent.) $4,794.24 $4,974.02 $4,992.00 $5,393.52

A marble is drawn from a box containing 3 yellow, 5 white, and 13 blue marbles. Find the odds in favor of drawing the following (a) A yellow marble (b) A blue marble (c) A white marble (a) In reduced form, the odds in favor of drawing a yellow marble are (Simplify your answers.) (b) In reduced form, the odds in favor of drawing a blue marble are (Simplify your answers.) (c) In reduced form, the odds in favor of drawing a white marble are (Simplify your answers.)

A cross section of a nuclear cooling tower is a hyperbola with equation x² /90² - y² /130² - = 1. The tower is 450 ft tall, and the distance from the top of the tower to the center of the hyperbola is half the distance from the base of the tower to the center of the hyperbola. Find the diameter of the top and the base of the tower.

Let U= {a,b,c,d,e,f,6,7,8,9,10,11), X = {a,b,c,7,8,9), and Y = {b,d,f,6,8,10}. List the members of the set X'nY', using set braces. X'nY' = {} (Use a comma to separate answers as needed.)

Amy and Derek are married and filing jointly. Their taxable income is $36,847. Use the Tax Table, Exhibit 18-3 from your text to find the tax liability. $4,040.64 $4,149.64 $4,231.14 $4,421.64

A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time is less than 7.6 hours. 0.0008 0.0025 0.0036 0.0103

Your grade point average (GPA) is a form of a weighted average. That is, 4 units of A counts more than 4 units of B. The most common weight for grades is A, 4 points; B, 3 points; C, 2 points; D, 1 point; and F, 0 points. To find a GPA, 1. Multiply the points for each grade by the number of units for the course. 2. Find the sum of these products. 3. Divide this sum by the total number of units taken. Find the GPA for 4 units of F in astronomy, 3 units of D in geometry, 2 units of A in sociology, and 3 units of B in biology. Round your answer to the nearest tenth.

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R(x) → 0.] f(x) = e-4x

Suppose that the profit obtained from the sale of x fish -fry dinners is given by P(x) = -0.025x² + 8x - 40. What is the marginal profit, in dollars from the sale of the 101st fish-fry dinner? Write your answer to two decimal places and donot use the dollar sign symbol.

A simple random sample is taken from a population and yields the following data for a variable of the population. 9 34 38 37 19 24 11 19 21 32 Find a point estimate for the population standard deviation (that is, the standard deviation of the variable). A point estimate for the population standard deviation is

Terrance hopes to earn $600 in interest in 4.9 years time from $30,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds quarterly, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be? Round to two decimal places.

You toss a fair coin 5 times. What is the probability of at least one head? Round to the nearest ten-thousandth. 0.0313 0.5000 0.9688 0.7500

A single fair die is tossed. Find the probability of rolling a number greater than 4. What is the total number of possible outcomes? What is the number of outcomes greater than 4? What is the probability of rolling a number greater than 4? (Simplify your answer. Type an integer or simplified fraction.)

If sin (θ) = 15/25 and θ is in Quadrant II, then what is sin(θ/2) ? your answer completely and rationalize the denominator.

The atmospheric pressure, p, in pascals, on a weather balloon decreases with increasing height. This pressure, measured in millimeters of mercury, is related to the number of kilometers, h, above sea level by the function p(h) = 760 (2.7)-0.145h. Use this function to perform the following, showing your work and rounding answers to the nearest hundredth. 1. Find the atmospheric pressure, in pascals, at a height of 3 kilometers. 2. Find the height, in kilometers, when the atmospheric pressure is 200 pascals.

15.Suppose that you invest $2,500 in an account that makes 3% annual interest compounded monthly. Use the formula A = P(1+r/n)^nt to answer the following questions. a) How much money will be in the account after 6 years? b) How much money will be in the account after 4 months? c) How long will it take for the account to reach a balance of $7,000?

Video Games How many different ways can 10 different video game cartridges be arranged on a shelf?

Suppose you bought speakers for a total purchase price of $598.36. If state taxes were 5.65%, what was the amount of the sales tax? (Round your answer to the nearest cent.) $29.92 $32.00 $33.81 $37.31

A sample of 20 elements produced a mean of 91.4 and a standard deviation of 11.16. Assuming that the population has a normal distribution, the 90% confidence interval for the population mean is:

2014 Top Albums (Based on U.S. sales) Of all of the U.S. album sales, album 1 accounted for 25% of sales, album 2 accounted for 25.2 % of sales, and album 3 accounted for 0.2% of sales. What is the probability that a randomly selected album was something other than these three albums? The probability that a randomly selected album was something other than these three albums is

In a random sample of 53 items produced by a machine, the quality control staff found 5 of them to be defective. Calculate the point estimate of the population proportion of defective items. Round to 4 decimal places.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. What is the minimum amount of hours she will need to babysit in order for her to buy her calculator?

If a first experiment can be performed in 5 distinct ways and a second experiment can be performed in 8 distinct ways, the two experiments together can be performed in how many distinct ways? Enter your result in the space provided using number keys only.

Compute the discriminant of 8x² = -7-x. The discriminant is: How many real solutions does the equation, 8x² = -7-x, have? 2 non-real solution One real solution Two real solutions None of the above

Current Attempt in Progress Evaluate e ln11 - In e7 without a calculator, or say if the expression is undefined. If the expression is undefined enter NA, otherwise enter the exact answer.

Freight Train Cars In a train yard there are 7 tank cars, 12 boxcars, and 12 flatcars. How many ways can a train be made up consisting of 4 tank cars, 5 boxcars, and 5 flatcars? (In this case, order is not important.) Total number of ways =

You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately o = 26.3 dollars. You would like to be 95% confident that your estimate is within 4 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?

A recent study of 400 patients found that of 95 alcoholic patients, 79 had elevated cholesterol levels, and of 305 nonalcoholic patients, 70 had elevated cholesterol levels. If a patient is selected at random, find the probability that the patient is the following. Round your answers to three decimal places. P (nonalcoholic) = P (nonalcoholic with nonelevated cholesterol level) = P (alcoholic with elevated cholesterol) =

During a recent year, there were 11.2 million automobile accidents, 5.7 million truck accidents, and 172,000 motorcycle accidents. Find the following probabilities. (a) If one accident is selected at random, find the probability that it is either a truck or motorcycle accident. P (truck or motorcycle accident)= (b) If one accident is selected at random, find the probability that it is not a truck accident. P (not truck accident)=

Solve the quadratic equation by completing the square: t² + 8t - 27 = 41 Give the equation after completing the square, but before taking the square root. Your answer should look like: (t - a)² = b The equation is: List all solutions to the equation in simplest radical form, separated by commas. The solutions are: t =

A single fair die is tossed. Find the odds in favor of rolling a number greater than 1. What are the odds in favor of rolling a number greater than 1? to (Simplify your answer.)

Algebraically solve the following system of equations. There are two variables that can be readily eliminated, but your answers will be the same no matter which you eliminate first. 2x+5y-z = -35 x-3y + 4z = 31 -3x+2y+2z = -23

A gumball machine has 40 red, 30 white and 10 yellow gumballs in it, and you purchase one gumball at random. What are the odds against getting a yellow gumball?

Socialist feminism argues that dismantling the capitalist heirarchical system is sufficient to eradicate gender inequalities True False

Find the indicated probability. If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade? 1/13 1/2 15/26 11/26

According to a disease control center, 40% of people in a certain country have high blood pressure. If a person in this country is selected at random, determine the odds in favor of this person having high blood pressure. 5:3 5:2 2:5 2:3 3:2 3:5

Compute the upper Riemann sum for the given function f(x) = 5-x² over the interval x = [0, 1] with respect to the partition P = [ 0,1/4,3/4,1]

Assume that random guesses are made for 8 multiple choice questions on a test with 5 choices for each question, so that there are n-8 trials, each with probability of success (correct) given by p=0.20. Find the probability of no correct answers. The probability of no correct answers is (Round to three decimal places as needed)

Factor completely. 2x² - 12x - 144 prime (not factorable) (2x − 12) (x + 12) 2 (x - 72) (x + 1) 2 (x - 12) (x + 6)

Write the algebraic expressions described by the following English phrases. Use the variable name "x" to describe the unknown. 1. a number less than six 2. a number less six