Basic Math question and answers for June 21, 2024
- Q be worth more or less (including zero) depending on your answer. Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial...
- Q You and your classmates create 25 self-portraits to sell at the PTA auction to raise money for your school. In order to pay for the materials you bought to make...
- Q Kala paid $14.75 for a 2.12-pound bag of shrimp at one store. The following week, she paid $24.99 for a 3.77-pound bag at another store.Find the unit price for each...
- Q Find all zeros of f(x) = x + 2x - 6x - 4. Enter the zeros separated by commas. Enter exact value, not decimal approximations.
- Q - Manuel bought 9 pounds of apples. He has eaten 3/4 of a pound so far and has $15 worth of apples left. Write and solve an equation to find...
- Q Arianna invests $5500 in a new savings account which earns 5.6 % annual interest, compounded daily. What will be the value of her investment after 7 years? Round to the...
- Q A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the ground below with a ladder. When the knight stands...
- Q Find the average rate of change of f(x) = 2x +5 over each of the following intervals.(a) From 4 to 6(b) From 2 to 0(c) From 0 to 3(a) The...
- Q Explain what "80% confidence" means in a 80% confidence interval.What does "80% confidence" mean in a 80% confidence interval?OA. The confidence interval includes 80% of all possible values for the...
- Q Situation:A 50 gram sample of a substance that's used to treat thyroid disorders has a k- value of 0.1113.N = Noe^-ktNo initial mass (at time t = 0)N = mass...
- Q A manufacturer produces three products, A, B, and C. The profits for each unit of A, B, and C sold are $1, S2, and $3, respectively. Fixed costs are $17,000...
- Q Enrico deposited $2000 in a savings account. Each month he will deposit an additional $25. Which kind of function best models the relationship between time and the total amount in...
- Q In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2,..., 36. To play the game, a metal ball is spun around the wheel and...
- Q A machine is valued at $10,000. If the depreciation at the end of each year is 20% of its value at the beginning of the year, find its value at...
- Q The function y = -16x + 36 represents the height y (in feet) of an apple a seconds after falling from a tree. Find and interpret the x- and y-intercepts.The...
- Q Consider the following function and express the relationship between a small change in x and the corresponding change in y in the form dy = f'(x)dx.f(x)=e8x
- Q Suppose there are two routes from North Point to Boulder Creek, four routes from Boulder Creek to Beaver Dam, four routes from Beaver Dam to Star Lake, and three routes...
- Q Andrew Merrill, owns a mobile sandwich and pretzel stand. Andrew borrows $5,200 for 135 days at ,9% ordinary simple interest. What total will Andrew need to repay for both interest...
- Q Find the annual percentage yield (APY) in the following situation.A bank offers an APR of 4.25% compounded quarterly.The annual percentage yield is %.(Do not round until the final answer. Then...
- Q A beverage company tested a new flavor of fruit drink on a random, representative sample of consumers. The company found that 47 percent of consumers surveyed liked the new flavor,...
- Q Jack bought a car for $17,500. The car loses $750 in value each year. Which equation represents the situation?an 18250n - 750an= 750n + 18250an = 18250n + 750an= -750n...
- Q In a piano recital, Toby has to perform one piece from each era of western classical music. There are eight pieces from the Baroque period, five pieces from the Classical...
- Q Using data starting with 1950 and projected to 2050, the number of women (in millions) in the workforce is given by the function P=0.79x+20.86, where x equals the number of...
- Q Inverse variation can be applied in physics. The relationship between wavelength and frequency of light are closely related.The equation ?v=c where ? is the wavelength, v is the frequency and...
- Q You are going to survey a random sample of the 300 passengers on a flight from San Francisco to Tokyo. Name each sampling method described.a. Randomly generate 30 seat numbers...
- Q A youth organization collected nickels and dimes for a charity drive. By the end of the 1-day drive, the youth had collected $48.65. If there were three times as many...
- Q Which function translates each point on the graph of y = mx + b so that the slope of the segment from the original point to the translated point is...
- Q On a poultry farm eggs are packed in cartons. Each carton contains 12 boxes and each box contains 15 eggs of mixed size (small, medium and large). On the farm...
- Q A 28-year-old man pays $223 for a one-year life insurance policy with coverage of $60,000. If the probability that he will live through the year is 0.9993, what is the...
- Q An investment grows at 24% compounded monthly. How many years will it take to do the following? (Round your answers to one decimal place.)(a) double(b) increase by 65%
- Q There's one other alternative-one that takes both skill and courage: Forgoing any cradling action, grasp the cone more firmly between thumb and forefinger and extend the other fingers so that...
- Q The product of two numbers is to be minimized. The second number is eight more thantwice the first. Call the first number "x."a) Write an equation for the product of...
- Q Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0C and a standard deviation of 1.00C. A single thermometer is randomly...
- Q You invest $2500 in an account at interest rate r, compounded continuously. Find the time required for the amount to double and triple. (Round your answers to two decimal places.)r...
- Q For the function f(x) = - 1/12x, construct and simplify the difference quotient f(x+h)-f(x)/ h The difference quotient for f(x) = - 1/12x is (Simplify your answer. Use integers or...
- Q A bicyclist rides 24 mi against a wind and returns 24 mi with the same wind. His average speed for the return trip traveling with the wind is 8 mph...
- Q The running lanes at the Emery Sears track at Bluffton College are 1 m wide. The inside radius oflane 1 is 33 m, and the inside radius of lane 2...
- Q Jessica Cardenas has a sprinkler that has several varieties of coverage. The quarter-circlesprinkler head sprays water a distance of up to 20 feet from the head. What area will be...
- Q A 95 kg basketball player jumped in the air to secure a rebound. During the last step before jumping in the air, 1,792 N of ground reaction force was applied...
- Q The cost of renting a space for up to 400 people is a $700 flat fee. The cost of catering a dinner for x attendees is given by C(x) =...
- Q 11 Mr. Davis and Ms. Lee saved the same amount of money. Mr. Davis spent $1,140 on a television and Ms. Lee spent $580 on a stand mixer. Ms. Lee...
- Q For every three girls taking classes at a martial arts school, there are 4 boys who are taking classes. Suppose there are 236 boys taking classes at the school. Write...
- Q a. For the function and point below, find f'(a).b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a.f(x) =...
- Q The cost of reserving a particular domain name is $21 up front plus $4.49 per month. Find the cost of reserving that domain name for the following:
- Q For a given input value u, the function g outputs a value v to satisfy the following equation.-12u + 3 = 8v + 1Write a formula for g(u) in terms...
- Q A mirror should be centered on a wall. The mirror is 36 inches wide and the wall is 18 feet wide. Which equation helps determine the distance x on each...
- Q 27) A-Plus Advertising charges a fee of $27 plust $0.10 per flyer to print and deliver flyers. Print and More charges $0.25 per flyer. For how many flyers is the...
- Q Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may suggest, the ends of these mats are right...
- Q To rent a certain meeting room, a college charges a reservation fee of $14 and an additional fee of $4 per hour. The chemistry club wants to spend less than...
- Q Differentiate the function, and find the slope of the tangent line at the given value of the independent variable.f(x) = 5x + 4/x, x = -5The derivative of the function...
- Q A company pays its sales people a base salary of $38,500 per annum plus a commission of 12% on all sales. Stephen, one of the company's salespeople, made sales worth...
- Q A store pays $39.27 for a quilt. The store marks up the price by 26%. What is the new price?Round your answer to the nearest cent: $
- Q Identify the zeros and y-intercept for the following function graphed below.a. zeros: (0, -3), (0, 5); y-intercept: (90, 0)b. zeros: (-3, 0), (5, 0); y-intercept: (0, 90)c. zeros: (5, 0);...
- Q The time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. If it takes 10 workers 2.5 years to...
- Q On the planet Golgafrincham there are two systems for measuring temperature. Using the Celia scale, water freezes at 0 C and boilsat 50 C. Using the Furryhat scale, water freezes...
- Q A student has student loans of $96,000. He would like to pay it back in 10 years. (10 points)a) Calculate the monthly payments if his loan has a fixed APR...
- Q The average cost of a 4-year college education is projected to be $130,000 in 20 years. How much money should be invested now at 8% compounded quarterly to provide $130,000...
- Q Identify any other values of x (other than those corresponding to vertical asymptotes) for which the function is discontinuousf(x)= (2x-2) / (x2+2x-3) is discontinuous at x =
- Q A student has student loans of $96,000. He would like to pay it back in 10 years. a) Calculate the monthly payments if his loan has a fixed APR of...
- Q For each sum or product, determine whether the result is a rational number or an irrational number.Then choose the appropriate reason for each. ...
- Q If y=ex is reflected about the x-axis, what is the formula for the resulting function?y = help (formulas)
- Q Suppose that $10,000 is invested at an APR of 6% for 4 years.a) Determine the accumulated balance assuming that interest is compounded annually.b) Determine the accumulated balance assuming that interest...
- Q Patricia receives a gross pay of $1,850 bi-weekly from his employer. If his employerchanged his pay period to monthly instead of bi-weekly, calculate the monthly paymentthat he would receive.Round to...
- Q Alexander, a sales representative at a jewelry store, receives a 1.50% commission for the first $12,000 in sales he makes, 3.50% for the next $25,000, and 6.50% thereafter. If he...
- Q A school superintendent purchase a new car for $26,788.A. If the sales tax is 7.75%, find the amount of sales tax.The sales tax isB.The superintendent makes a $3000 down payment...
- Q If you drive 23 miles south, make a turn and drive 39 miles east, how far are you, in a straight line, from your starting point? Round your answer to...
- Q Which of the following is true about the graph of f(x) = 6x - 12x + 6x - 7?a) f(x) has a local minimum at the point (1/3 , -55/9)b)...
- Q Cabinet X costs $60, requires 12 sq ft of floor space, and holds 24 cu ft of files. Cabinet Y costs $50, requires 6 sq ft of floor space, and...
- Q For a given input value x, the function h outputs a value y to satisfy the following equation.6x + y = 4x + 11yWrite a formula for h(x) in terms...
- Q Christine is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.Company A charges an initial fee of...
- Q Identify the transformation equation below for the following function:f(x) = x? shifted 2 units right & up 2 unitsSelect one: a. f(x) = (x + 2) + 2 b. f(x)...
- Q Simplify the following rational expression by subtracting, then identify the simplified form below. 6/x2-1 - 3/x+1Select one: a. x+1 / (x-3)(x+3) b. 3x/ (x-1)(x+1) c. x-3 / (x-1)(x+1) d. -3x+9...
- Q List the roots of the parabola: y = -x + 20x - 7In other words, list the solutions of the equation: 0= -x + 20x - 7x=Your answers must be...
- Q This polynomial is not factorable, so you need to use the complete the square method.Solve the equation for x.x + 2x - 12 = 0
- Q An exponential function f(x) = ab^x passes through the points (0, 4000) and (3, 108). What are the values of a and b?a =b=
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