Basic Math question and answers for July 29, 2024
- Q A laptop computer is purchased for $3200. Each year, its value is 80% of its value the year before. After how many years will the laptop computer be worth $1000...
- Q Following the birth of a child, a parent wants to make an initial investment Po that will grow to $50,000 for the child's education at age 17. Interest is compounded...
- Q Someone brought a box of twenty-four doughnuts to soccer practice. They all look the same but the fillings differ. Ten are cherry, eight are custard, and six are chocolate. If...
- Q The junior class has $300 to invest in a candy sale. They can sell no more than 9 cases of suckers and they must sell at least 18 cases of...
- Q Mr. and Mrs. Evans hope to send their daughter to college in thirteen years. How much money should they invest now at an interest rate of 8% per year, compounded...
- Q Twenty students are working at a car wash to raise money for the homeless shelter in their town. Two students arechosen to go pick up pizzas for lunch. How many...
- Q Marc knows the expression 24 + 4x can be rewritten as 4(6 + x). He claims that 4 is the only whole number greater than 1 that can be factored...
- Q Kindergarten children have heights that are approximately normally distributed about a mean of 39 inches and a standard deviation of 2 inches. If a random sample of 18 is taken,...
- Q A grocer wants to mix two kinds of candy. One kind sells for $0.95 per pound, and the other sells for $1.35 per pound. He wants to mix a total...
- Q Milan is saving up money for a down payment on a condominium. She currently has $2525, but knows she can get a loan at a lower interest rate if she...
- Q Value of home and life span are two variables that have been shown to have positive correlation but no cause-and-effect relationship. Describe at least one possible reason for the correlation.Select...
- Q On-Time Delivery Company acquired an adjacent lot to construct a new warehouse, paying $34,000 in cash and giving a short-term note for $281,000. Legal fees paid were $1,590, delinquent taxes...
- Q A bicycle has a listed price of $$31.95 before tax. If the sales tax rate is 6.5 %, find the total cost of the bicycle with sales taxincluded.Round your answer...
- Q For the rational function f(x) =1-x/x2-x , identify any removable discontinuities.There is a removable discontinuity at x = 3.There are no removable discontinuities for this function.There is a removable discontinuity...
- Q Simplify the expression1+ 3/2y/-5/xy1and give your answer in the form ofA/B
- Q Multiply and simplify your answer.x - 25/x 10x + 25.x - 5/x
- Q If the market rate of interest is equal to the contract rate of interest,a. the selling price of the bond cannot be determined.b. the bonds will sell for less than...
- Q A gallon of paint will cover 560 square feet of wall space. If I plan to paint a room whose walls measure 2240 square feet, how many gallons of paint...
- Q Write four equivalent expressions for the given expression.-8v-5/v-2Choose the expressions that are all equivalent.A.8v-5/v-2,-(8v-5)/v+2,-8v+5/-v+2,8v-5/v+2B.-(8v-5)/v-2,-8v+5/v-2,-(8v-5)/-v+2,(8v-5)/-v+2C.-8v-5/v+2,-(8v-5)/v-2,-8v-5/v+2,8v-5/v+2
- Q (1 point) Perform the indicated operation. Note that thedenominators are different. Simplify the result, if possible.2/y-46/y-6
- Q A company makes three sizes of cardboard boxes: small, medium, and large. It costs $3.50 to make a small box, $5.00 for a medium box, and $5.50 for a large...
- Q Which of the following are equivalent forms of the rationalexpression.2x +5x?3/ x-x-12(Select all that apply.)(2x - 1)(x-3)/(x-4) (x-3)2x + 1/x-4(x+3)(2x - 1)/(x-4) (x+3)2(x2+5x-3)/x-x-122x - 1/x-4(2x+1)(x-3)/(x-4)(x-3)
- Q Use the following function to answer parts a through cf(x) = 11x+127x +67x+11a. List all rational zeros that are possible according to the Rational Zero Theorem.+-1, +-1/11+-11(Type an integer or...
- Q Cookies are packaged in boxes that measure 18 cm by 20 cm by 6 cm. A larger box is being designed by increasing the length, width and height of the...
- Q Classify the following events as either independent or dependent.Independent DependentAdd an answer item! Add an answer item!
- Q A corporation issues for cash $1,000,000 of 8%, 20-year bonds, interest payable annually, at a time when the market rate of interest is 10%. The straight-line method is adopted for...
- Q A construction crew has just finished building a road. The crew worked for 43/8 days. If they built 21/7 kilometers of road each day, what is the total length of...
- Q Which great Mosque might have inspired Guarino Guarini for the design of the vaults of S. Lorenzo church in Turin?a. The Friday Mosque, Isfahanb. The Sehzade Mosque in Istanbulc. Taj...
- Q At the fair you buy an unlimited ride pass for $28 and plan to play some games costing $1.50 per game. Write a function in x that represents the total...
- Q A grocery store buys cereal using the cost functionc(n) = {2n when n < 1001.9n when 100 ? n ? 5001.8n when n > 500where n is the number of...
- Q There are thirty-six students in your chemistry class, including yourself. You will be in a randomly selected lab group of four people, counting yourself. What is the probability that your...
- Q Amy and Chuck each buy a house in the sameneighborhood for $250,000. Amy's monthlymortgage payment is $400 more per month thanChuck's. Which one of the following statementscould explain this difference?Amy...
- Q Find the compound interest and future value. Round your answers to the nearest cent. Do not round intermediate steps.Principal Rate Compounded Time$530 4.35% Quarterly 5 yearsThe future value...
- Q Write the exponential function y= 500e-0.07t in the form y =abt(a) Once you have rewritten the formula, give b accurate to at least four decimal places.b= _______ help (numbers)If t...
- Q For the polynomial below, 1 is a zero.f(x) = x - 7x + 8x - 2Express f(x) as a product of linear factors.
- Q If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1110. If he hires 1 day laborer and 4 concrete finishers, his...
- Q In 2012, there were about 313 million people in the United States, and just under 9 million of them had assets of $1million or more. At the same time, there...
- Q In the Ohio lottery Classic Lotto game 6 numbers are drawn at random from 49 possible numbers. What is the probability of your lottery ticket matching all six numbers?Hint: Order...
- Q David has available 400 yards of fencing and wishes to enclose a rectangular area. Express the area A of the rectangle a a function of the width w of the...
- Q Estacia wants to learn more about excludedvalues. a. Explain to Estacia why x cannot be 4in the expression x+2/x-4b. Find the excluded values of x in eachof the expressions of...
- Q In ?HIJ, ?H ? ?J, JH = 10 and IJ = 14. Find the length of HI.?
- Q The cost of reserving a particular domain name is $22 up front plus $4.89 per month. Find the cost of reserving that domain name for the following:(a). 2 monthsThe cost...
- Q What happens to the value of a fractionwhen the numerator (the top) approaches(gets very close to) zero?What happens to the value of a fractionwhen the denominator (the bottom)approaches (gets very...
- Q Each side of a square is increasing at a rate of 4 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the...
- Q )) An angle measures 4 less than the measure of its supplementary angle. What is themeasure of each angle?______ and _______
- Q Give all solutions of the nonlinear system of equations, including those with nonreal complex components.4x + y =16036x - y = 0....Select the correct choice below and, if necessary, fill...
- Q Let f(x)=2x-3x - 2/3x + 10x - 25This function has:1) A y-intercept at the point2) x-intercepts at the point(s)3) Vertical asymptotes at x =4) Horizontal asymptote at y =
- Q In a study of 600 meals served at 75 campus cafeterias, 190 had less than 10 grams of fat but not less than 350 calories; 194 had less than 350...
- Q Simplify the exponential expression:(2xy) (3y w)72wx9y12-1wx9y17wx6y10wxy6
- Q Evaluate the function at the given values of the independent variable and simplify.f(x)=6x-1/x(a) f(4) (b) f(-4) (c) f(-x)
- Q The measure of an angle is five times the measure of its complementary angle. What is the measure of each angle?____ and ___
- Q Accounts payable would appear on the balance sheet as aa. current liability.b. long-term liability.c. current asset.d. disclosure in the notes only.
- Q James spent one-half of the money in hisaccount on car repair. Then he spent athird of the remaning amount on his rent.He did not add any money to his accountor...
- Q The dimensions of a triangular lot are 165 feet by 49 feet by 154 feet. If the price of such land is $3 per square foot, how much does the...
- Q Use the echelon method to solve the following system of two equations in two unknowns. Check your answer.7x+3y= -286x-3y=-24Select the correct choice below and, if necessary, fill in the answer...
- Q Jennifer just got a new job. The starting salary for the new job is $45,000. The job comes with a choice of two promotion packages. A promotion package is a...
- Q A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of...
- Q Which of the following are statements? Choose each correct answer.Select all that apply:3+7I will go for a walk later today.Every prime number has exactly two factors.Papaya is my favorite fruit.
- Q The city of Raleigh has 10200 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll...
- Q Rewrite the following polar equation in rectangular form.r=11/4sin?-6cos?
- Q One half of a cantaloupe was sharedequally among 3 people. What fractionof the whole cantaloupe did eachperson get? Explain how you foundyour answer.
- Q Letp(x) = x - x + 2x - 5.p(-3) can be computed via synthetic division by filling in for the letters ? through g in the table1-1 2-5 ...
- Q Perform the indicated operation. Write the answer in scientific notation, rounding to two decimal places. Then write the rounded answer in decimal notation as well.(4.8x10) (9.6102)Write the answer in scientific...
- Q Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.6th term is -10; 15th term is -46a? = 10, d = 4, an =...
- Q If f(x) = x + 4, g(x) = x ? 3 and h(x) = ?z, thenf(g(h(x))) =
- Q Factor the trinomial completely. If the polynomial cannot be factored, say it is prime.x2+10x +25Select the correct choice below and, if necessary, fill in the answer box to complete your...
- Q The data can be modeled by the following system of linear equations.{- 5x+ 20y = 140 Equation 1{x + 4y = 178 Equation...
- Q Karina and Perry are cleaning up litter in the park for community service hours. Karina and to Perry both claim they have covered the greatest area. Who is correct? Justify...
- Q A graphic artist is designing a poster to advertise an upcoming event. The only restrictions regarding the poster size is that it must have a length of 7x inches and...
- Q Use the balanced equation to answer the following question.6CUNO3 + Al2(SO4)3 -> 3Cu?SO4 + 2AI(NO3)3Molar mass of CUNO3 125.56 g/molMolar mass of Al(NO3)3 ...
- Q Armando's goal is to find a job that provides an income of $45,000 a year. Natalie's Furniture offers him a job paying a base salary of $28,000 a year, plus...
- Q Find the missing coefficient.(2d-6)(2d + 4) = 4d + __ d-24a -2b -4c 4d 20
- Q The function A = Age -0.00866x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the...
- Q A researcher wants to learn the effects sleep deprivation has on a person's reflexes. The volunteers were broken into two separate groups. In the first group, forty volunteers were only...
- Q Journal entries based on the bank reconciliation are required in the depositor's accounts fora. bank errors.b. NSF items.c. deposits in transit.d. outstanding checks.
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