Basic Math Questions and Answers

Paul Rey bought two new Dunlop tires at Goodyear for $96.19 per tire. Goodyear charged $3.15 per tire for mounting, $3.05 per tire for valve stems, and $3.90 per tire for balancing. If Paul paid no sales tax, what was his total cost for the two tires? (Round your answer to 2 decimal places.)

Solve the following equation: 2/3 e^x - 2 = 4

Consider the following function. f(x) = x^1/9 + 7 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)

A scientist recorded the movement of a pendulum for 14 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 9 in. Graph the function that represents the pendulum's displacement as a function of time. (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. In order to receive full credit, you must graph at key points and connect them with a smooth curve (I should be able to see what type of graph it is). You cannot copy and paste from a graphing calculator like DESMOS.

The next line in the sequence is 4+8+12+16+20+ 24 = 24x7 / 2 (Do not simplify. Use integers or fractions for any numbers in the expression.) Is the conjecture correct? Select the correct answer below and fill in the answer box(es) to complete your choice.. A. Yes, because both the left side and the right side are equal to B. No, because the left side equals, and the right side equals

Which is true about multiplying integers? The product of integer multiplication is always negative. If there is an odd number of negative signs, then the product is positive. If there is an even number of negative signs, then the product is positive. The product of integer multiplication is always positive.

Determine between which consecutive integers the real zeros of f(x) = 3x³-5x² + 5x+7 are located on the interval [- 10, 10]. If the zero occurs at an integer, write the integer. -1<x<0; 0<x< 1; 1 < x < 2,2 < x < 3; -1<x<0. 1<x<2; -8<x<-7

Suppose the half- life of a certain radioactive substance is 12 days and there are 18 grams present initially. Find the time when there will be 20% of the initial substance remaining.

You decide to invest a total of $1500 in a money market account at an annual interest rate of 3.4%. A. Find the balance in the account after 8 years if it is compounded quarterly. B. Find the balance in the account after 8 years if it is compounded monthly. I C. Find the balance in the account after 8 years if it is compounded continuously.

A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?

Here is a scale drawing of a swimming pool where 1 cm represents 1 m. a. How long and how wide is the actual swimming pool? b. Will a scale drawing where 1 cm represents 2 m be larger or smaller than this drawing? Make a scale drawing of the swimming pool where 1 cm represents 2 m.

Of the people who fished at Clearwater Park today, 54 had a fishing license, and 36 did not. Of the people who fished at Mountain View Park today, 90 had a license, and 10 did not. (No one fished at both parks.) Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license? Do not round your answer. (If necessary, consult a list of formulas.)

Jack was 17 years older than Priscilla. Together their ages totaled 159 years. What was Jack's age? Use all five problem-solving steps.

which inequality has the same solution as x + 2 ≥(9-6x) + 5x? Circle the letter of the correct answer.

The scale on a map of Virginia shows that 1 inch represents 25 miles. The actual distance from Richmond, VA, to Washington, D.C., is 110 miles. On the map, how many inches are between the two cities? Enter your answer as a mixed number with the fraction in simplest form.

After four years in college, Josie owes $6000 in student loans. The interest rate on the federal loans is 3% and the rate on the private bank loans is 3.6%. The total interest she owes for one year was $204.00. What is the amount of each loan? Federal loan at 3% account = $ Private bank loan at 3.6% account = $

A Chevy Volt costs $26,400 in the United States. What would it cost in Canada? Check your answer. (Round your answer to the nearest cent.) (Use the exchange rate table.)

For this assessment you must demonstrate your understanding of alternate plot structures by writing your own version of one of the fairy tales provided. Select one of the following fairy tales Select two of the techniques from this lesson. Rewrite part or all of the fairy tale using the two techniques you have selected. Include one paragraph in which you explain which techniques you have selected and how you put them to use in your re-write. Look at a sample of this assignment. See the sample.

A particular shade of paint is made by mixing 3 parts red paint with 5 parts blue paint. To make this shade, Shannon mixed 9 quarts of blue paint with 6 quarts of red paint. Did Shannon mix the correct shade? Complete the explanation. Shannon (select) mix the correct shade. The ratio of the original shade paint is shade Shannon made is

Last year, Melissa biked 307 miles. This year, she biked c miles. Using c, write an expression for the total number of miles she biked.

A patient is given a 50 mg dose of medicine. The medicine's effectiveness decreases every hour at a constant rate of 40%. What is the exponential decay function that models this scenario? How much medicine will be left in the patient's system after 2 hours?

14. Stretch Your Thinking Marshall surveyed his classmates and found that have a sister, have a brother, and 14 don't have any siblings. a. What is the sum of the three fractions? b. Why does it make sense for the sum to be greater than 1 whole?

Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 8% hydrochloric acid solution. Find the amount of 14% solution and the amount of 7% solution she should mix to get this solution. How many ounces of the 14% acid solution should be in the mixture?

Using the Net Method, which of the following journal entries accurately reflect merchandise invoiced at $550 with terms of 2/10 net 30? a. debit accounts receivable $550/credit sales revenue $550 b. debit sales revenue $539/credit accounts receivable $539 c. debit accounts receivable $539/credit sales revenue $539 d. debit sales revenue $550/credit accounts receivable $550

You are looking for an apartment and have found two places that suit you. The apartment closer to school has a $1,500 security deposit and costs $1,175/month while the one farther away has a $1,000 security deposit and costs $1,200/month. How many months of rent will it take for the costs at both apartments to be the same? (Let the number of months you are renting the apartment = x. Hint: Your answer should be a whole number.)

Solve the quadratic equation by completing the square. x² + 12x+26= 0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas.

Convert each of the following numbers from scientific to ordinary notation, and write its name. a. 9x107 b. 7.3 x 106 c. 6 x 10-2 d. 6.2 x 10

Find the quadrant in which the given angle lies. 116° a. Quadrant I b. Quadrant IV c. Quadrant III d. Quadrant II e. None of the above

If mz2 = 4x-6 and mz3 = 2x + 18, for what value of x is a || b? Which theorem justifies your answer?

For her phone service, Donna pays a monthly fee of $20, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $100.78. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m.

Suppose you have $300 to pay for swimming and yoga classes this month. The price for one yoga class is $40. You want to attend 5 swimming classes. The equation for the quantity of yoga classes is as follows: Qy = 22 - 4Qs Calculate how much a swimming class costs. Assume that the budget has to be spent entirely. Enter the exact value. Do not round.

Jenny Tarver purchases a $1,599.99 treadmill, a $49.99 pair of walking shoes, a $79.99 leather handbag, 6 pairs of socks at $8.99 per pair, and 2 pairs of running shorts at $19.99 each at the County Store in Bay Shore, New York. The state sales tax rate is 4%, the county rate is 4.25%, and the city transportation tax rate is 0.25%. What is the sales tax on her purchases?

Carmen is 51/4 years younger than Antoine. Katy is 11 1/4 years older than Carmen. To the nearest year, what is the difference in Antoine's age and Katy's age? A Antoine is about 17 years older than Katy. B Antoine is about 6 years older than Katy. C Antoine is about 6 years younger than Katy. D Antoine is about 17 years younger than Katy.

Wayne is hanging a string of lights 79 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is 3 feet longer than twice its width. Find the length and width of the patio.

City B is 10 miles downstream from city A and on the opposite side of a river half a mile wide. Mary will run from city A along the river for 6 miles, and then swim diagonally (i.e., along a straight line) across the river to city B. If she runs at 8 miles per hour and swims at three miles per hour she will reach City B after hours. Assume that the current is negligible.

Tickets to a Broadway show cost $35 for adults and $15 for children. The total receipts for 1530 tickets at one performance were $44,350. How many adult and how many child tickets were sold?

Point B is between A and C on AC. Use the given information to write an equation in terms of x. Solve the equation. Then find AB and BC.

Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D. (If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this be done, if the order of the choices does not matter?

Lydia earns $540 per week. Each week, $32 is deducted for federal income taxes, $24.50 for FICA taxes, $29 for state taxes, and $74.50 for health insurance. Find the percentage of gross pay that Lydia takes home to the nearest percent.

Valerie is ordering salads and drinks for her friends. Salads cost $7 each, drinks cost $3 each, and there is a $5 delivery charge per order. She has $50. She buys 3 salads, and wants to figure out the maximum number of drinks she can buy.

Tom bought 8 hamburgers and 5 steaks. Each hamburger weighed 0.35 pounds and each steak weighed 1.25 pounds. How many pounds of meat did Tom buy? * 9.05 pounds 13 pounds. 1.6 pounds 14.6 pounds

Shen is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $83 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.

The Clothes Barn is having a 65% off sale on all the dresses, Jennifer paid $43.75 for a dress that was on sale. What was the original price of the dress? $125.00 $28.44 $15.31 $105.00

Maxim has been offered positions by two car companies. The first company pays a salary of $8000 plus a commission of $1100 for each car sold. The second pays a salary of $25600 plus a commission of $300 for each car sold. How many cars would need to be sold to make the total pay the same?

Solve (y-2)³-72=0 where y is a real number. Write your answer in simplified radical form. (If there is more than one solution, separate them with commas.)

Select the reason that best supports Statement 2 in the give 7 proof. A. Substitution B. Division Property of Equality C. Given D. Subtraction Property of Equality

Which of the following is true because of the Associative Law of Addition? 1000 + (2000 + 6) = (1000 + 2000) + 6 1000 + 2000 + 6 = 2000 + 1000 + 6 (1000) + 2000 + 6 = 1000 + (2000) + 6 1000 + 2000 + 6 = 3006

Drake and Josh want to go snowboarding in 3 weeks. Josh is able to save the $520 he needs to go on the trip by saving the pay he received for 5 hours of work at the movie theater each week. Drake must save 8 hours worth of pay from various gigs each week in order to have enough money. How much more money does Josh make than Drake?

An art teacher is hosting a summer art camp. He has a total of $83 to purchase snacks, drinks, and art supplies. He buys 75 bags of chips at $0.30 each and 15 juices at $0.45 each. How much money does he have left to spend on art supplies?

Evaluate the algebraic expression at the indicated values of the variables. (Simplify your answer completely.) 4x² - 5y² - 4xy at x = 3 and y = -5