Basic Math Questions and Answers

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

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

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.

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?

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.

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?

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

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

While shopping, Edna noticed that three different pancake mixes indicated that they were the best value for the price. She also noticed that all three packages cost the same amount. She wanted to know how they could all be the best value if they all cost the same. So, she decided to do a comparison of the mixes. Package A claims it makes 10 pancakes with a diameter of 6 inches. Package B claims it makes 25 pancakes with a radius of 2 inches. Package C claims it makes 50 pancakes with a circumference of 6.28 inches. Based on the total pancake area, order the packages from most valuable to least valuable. Assume all three types of pancakes have the same thickness. Use 3.14 for π.

Triangle ABC is congruent to triangle XYZ. In ΔABC, AB 12 cm and AC 14 cm. In ΔXYZ, YZ 10 cm and XZ = 14cm. What is the perimeter of ΔABC? 36 cm 38 cm 40 cm 50 cm

A certificate of deposit is worth P(1 + r)^2 dollars after years, where r is the annual interest rate expressed as a decimal, and P is the amount initially deposited. Which investment will be worth more? Investment A, in which P = $7200, r= 4%, and t = 5 years or investment B, in which P = $6100, r = 6%, and t = 7 years. Round your answers to two decimal places. The value of the certificate for investment A will be ,and the value for investment B will be

Use the quadratic formula to solve the equation. Be sure to simplify your answers. Enter both answers separated by a comma. x² - 8x + 10 = 0 For example, if x = -5± √15 / 4 you enter (-5-sqrt(15))/4 on the left and (-5+sqrt(15))/4 on the right. Note the important placement of parentheses! Use the PREVIEW button! X =

Hattle has recently inherited $8100, which she wants to deposit into an IRA account. She has determined that her two best bets are an account that compounds quarterly at an annual rate of 3.9 % (Account 1) and an account that compounds daily at an annual rate of 5.1% (Account 2). Step 2 of 2: How much would Hattie's balance be from Account 2 over 3.4 years? Round to two decimal places.

11) Jeff owns a watch repair shop. He has found that the cost of operating his shop is given by C (x) = 2x² - 108x+87, where C(x) is the cost and x is the number of watches repaired. How many watches x must he repair to have the lowest cost? 12) Ella works at Wendy's. On Monday she sells 15 fries and 10 burgers totaling $65.00. On Tuesday she sells 30 fries and 5 burgers totaling $77.50. How much does each burger cost?

Divide. 300√3619 Select the correct choice below and fill in any answer boxes in your choice. A. The quotient is B. The quotient is C. The quotient is undefined.

A graphics designer is designing an advertising brochure for an art show. Each page of the brochure is rectangular with an area of 72 in² and a perimeter of 34 in. Find the dimensions of the brochure. The longer side is in. The shorter side is in. (Type exact answers, using radicals as needed. Simplify your answers.)

A triangle has sides that measure 15 cm, 20 cm, and 25 cm. Find the exact volume of the solid of revolution formed when the triangle is revolved about the side of length 25 cm. (HINT: The altitude to the 25-cm side has length 12 cm.)

You own a home that was recently appraised for $390,000. The balance on your existing mortgage is $125,450. If your bank is willing to loan up to 70% of the appraised value, what is the potential amount (in $) of credit available on a home equity loan?

Divide. 91,900/21 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The quotient is B. The quotient is C. The quotient is undefined.

The revenue function is given by R(x) = x - p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x) = 42(4)^-s/4, find the revenue if 12 units are sold. Round to two decimal places.

Eva invests $8000 in a new savings account which earns 4.8% annual interest, compounded semi-annually. What will be the value of her investment after 7 years? Round to the nearest cent.

The volume, V, of a cylinder whose radius is 10 times its height is given by V = 1/10 πr³, where r is the radius. (a) Identify the coefficient and exponent of this power function. NOTE: Enter the exact answers. The exponent is The coefficient is (b) If the radius is 11 cm, what is the volume? NOTE: Enter the exact answer. (c) If the height is 0.9 cm, what is the volume? NOTE: Enter the exact answer.

Write true or false for the statement. {b, h, j, k} = {j, k, h, b} Choose the correct answer below. False True

The human resources director for a commercial real estate company received the following numbers of applications from people with the information given to the right. Use a Venn diagram to answer parts (a) through (d). **** (a) How many applicants were there? applicants (b) How many applicants did not have sales experience? applicants (c) How many had sales experience and a college degree, but not a real estate license? applicants (d) How many only had a real estate license? applicants 63 with sales experience 38 with a college degree 28 with a real estate license 22 with sales experience and a college degree 18 with sales experience and a real estate license 14 with a college degree and a real estate license 12 with sales experience, a college degree, and a real estate license 25 with neither sales experience, a college degree, nor a real estate license

Write the expression as a constant times a power of the variable, and state the base, exponent, and coefficient 2πα + 2πα NOTE: Enter your answers exactly. The expression is The base is The exponent is The coefficient is

The population of a certain inner-city area is estimated to be declining according to the model P(t) = 221,000e^-0.021t, where t is the number of years from the present. What does this model predict the population will be in 4 years? Round to the nearest person.

You and a friend are playing horseshoes on a very uneven lawn. You both throw a horseshoe toward a stake in the ground. Think of the point where the stake enters the ground as the origin. Your horseshoe lands 2.3 feet east of the origin, 1.5 feet north of the origin, and 0.5 feet below the origin. Your friend's horseshoe lands 1.7 feet west of the origin, 2.5 feet north of the origin, and 0.5 feet above the origin. What is the distance between the horseshoes? √17 feet 3√ √2 feet √33 feet 6 feet

Pizza House offers 5 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three course meals can be ordered? How many different meals can be ordered?

What is the probability of winning a lottery in which you must choose 6 numbers from the numbers 1 through 12? a. Assuming that order is unimportant. b. Assuming that the order matters.

David runs a small hotel with single and double room accommodations. Each single room costs $69 per night, and each double room costs $89 per night. David's nightly revenue goal is $1,000, and there are more single rooms than double rooms occupied on any given night. Which of the following is a possible description of the hotel occupancy on a night that David meets his goal? A. Tuesday: 5 single rooms and 8 double rooms occupied B. Sunday: 12 single rooms and 20 double rooms occupied C. Wednesday: 8 single rooms and 4 double rooms occupied D. Saturday: 15 single rooms and 10 double rooms occupied

Two people across the street from each other each put a hook below a window facing the street so that a banner can be hung from the hooks. One of the hooks is 104 ft. east and 20 ft. north from the street corner. It is hung at a height of 32 ft. The other hook is 4 ft. west and 22 ft. north from the same street corner. It is hung at a height of 35 ft. What is the distance between the hooks? Round your answer to the nearest foot. 100 ft. 108 ft. 127 ft. 134 ft.

A window is in the shape of a square with a semicircle on top. If the side of the square is I feet long then the area of the glass sheet in the T window is A = l² + π/2 (l/2)² 2 ft². (a) Is A a power function of l? Select an answer from the drop-down and, if so, enter the coefficient k and exponent p in the boxes that appear. (b) Without computing the area, say whether the area is larger when 1 = 3.5 feet or when l = 4.5 feet.

The radius of the wheel on a car is 19 inches. If the wheel is revolving at 421 revolutions per minute, what is the linear speed of the car in miles per hour? Round your answer to the nearest tenth.

Matthew wants to sell laptops and smartphones. He wants to sell at least 15 total devices and earn at least $4,800. L+S2 15 represents the number of laptops L and smartphones S Matthew should sell to achieve his goal of selling at least 15 devices. 425L+125S>4, 800 represents the number of laptops and smartphones he can sell to earn at least $4,800. If Matthew is only able to sell 4 laptops, the minimum number of smartphones must he sell in order to meet both of his goals is

Is the point (1, 2) a solution to the inequality y< -x+2?

Determine whether the two given events are independent. A pair of dice are rolled. The events are "odd on the first" and "even on the second." The two events are

Express all solutions in exact form. log8 (x + 2) + log8 (x+4)= log8 8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is. (Type an exact solution, using radicals as needed. Use a comma to separate answers as needed.) B. The solution is the empty set.