Basic Math question and answers for June 22, 2024
- Q A sum of $1000 is invested at an interest rate of 4% per year. Find the time required for the amount to grow to $4000 if interest is compounded continuously.
- Q Follow the method in Step 1 to determine if the third expression is a perfect square trinomial.The first term and the third term of the third trinomial, h - 13h...
- Q A rectangular auditorium seats 2408 people. The number of seats in each row exceeds the number of rows by 13. Find the number of seats in each row.
- Q When solving equations using the method of successive approximations, multiple iterations are performed. An approximate solution from three iterations is always an approximate solution from two iterations.
- Q At the Pizza Dude restaurant, a 12-in. pizza costs $3.40 to make, and the manager wants to make at least $2.20 from the sale of each pizza. If the pizza...
- Q Select the correct statement in the table. A landscape architect is ordering trees to plant in a park she is designing. The cost of each maple tree is $40, and...
- Q How much money does Barbara Mack owe at the end of 6 years if 7% interest is compounded continuously on her $1500 debt? Use the formula A = P ert...
- Q In the accompanying diagram, AB//CD and EF bisects AFG. m?9 = 42, find the measure of Each of the numbered angles.
- Q 9. (a) Let ? be an angle in standard position. Name the quadrant in which the angle ? lies given that sin ? <0 and sec ? < 0.(b) Let...
- Q Samuel is hired at a small sales company. His monthly pay is calculated by the equationP= 150s + 500.s = the number of salesP = Samuel's pay in dollars.Which of...
- Q Completely factor the following polynomial: 90y + 210y + 490.Factor out the greatest common factor (GCF) of the coefficients.
- Q A. Write the following as whole numbers or decimals, without words.3.2 thousand26 thousand14.5 milliona rate of 85 per thousanda rate of 782 per millionB. Find the square root of each...
- Q Find an approximate irrational solution to 2x = 3.Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set is {}....
- Q A guitar factory has a cost of production C(x) = 75x + 50,000. If the company needs to break even after 150 units sold, at what price should they sell...
- Q Divide.7?1862Select the correct choice below and fill in any answer boxes in your choice.A. The quotient is with no remainder.B. The quotient is with remainderC. The quotient is undefined.
- Q On a shelf at a gaming store, there are nine Sony Playstations and seven Nintendo Wii consoles left. If one gaming system is selected at random, find the probability that...
- Q Recently, a certain bank offered a 5-year CD that earns 2.32% compounded continuously.Use the given information to answer the questions.(a) If $10,000 is invested in this CD, how much will...
- Q Federal rules state that a drone cannot fly within 5 miles of an airport. If a drone is 2.71 mileseast and 3.92 miles north of the nearest corner of an...
- Q A company announced mailing coupons to its loyal customers. 25% of the coupons are for icecreamonly and 20% of the coupons are for pizza only.Given that a customer can get...
- Q Ohm's law of electricity states that V = IR, where V is voltage represents the resistance.a. Rewrite the equation to isolate I.b. If V 220 volts and R = 4...
- Q Alex deposits $9,000 in a Certificate of Deposit (CD) with an APR of 1.2%, compounded monthly. How much will be in the CD in 9 years, to the nearest dollar?...
- Q Suppose the charge account of Strong's Mailing Service at the local supply store had a 1.8% interest rate per month on the average daily balance. Find the average daily balance...
- Q A small motorboat travels 14 mph in still water. It takes 5 hours longer to travel 31 miles going upstream than it does going downstream. Find the rate of the...
- Q James has a mortgage of $94,500 at 8% for 30 years. The property taxes are $3,900 per year, and the hazard insurance premium is $764.50 per year. Find the monthly...
- Q The percentage of Americans who are retired has been increasing over the last decade. This is causing some concern because health care, social security, and other costs will be the...
- Q For the new fall season, a network president has 12 shows in development, and 8 openings in the prime time schedule. In how many ways can she arrange new shows...
- Q Solve the logarithmic equation. Express all solutions in exact form.2 Inx=14Select the correct choice below and fill in any answer boxes in your choice.A. The solution set is {(Type an...
- Q A. Write the hypotheses for each situation below.a. In Fall 2019, 19.3% of all CSUN students were in the College of Social and Behavioral Sciences (CSBS). You want to test...
- Q Which of the following numbers best describes inequality above?A) [0,4/3)B)[4/3, ?)C) (-?, ?)D) (-?, -4]u[3, ?)
- Q Write the first term of the given expression as a perfect cube.The number 125 is a perfect cube which can be written in exponential form.125 = 5 x 5 x...
- Q Determine which situation could be represented by the following system of linear equations.x + y = 708x + 5y = 410A. Evaporated milk comes in eight-ounce cans and five-ounce cans....
- Q Which expression is equivalent to the given expression?10g + 55q +5g +510q+5+55g + 105q +5
- Q Can the following be factored? If so, factor it: 16x6-80yYes, (4x+8y)(4x-10y)Yes, (4x+20y)(4x-20y)Yes, (4x+20y2)(4x-20y)Yes, (4x3+40y)(4x-40y)Cannot be simply factored.
- Q Solve the word problems using the RDW strategy. Show all of your work.Christine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3 of it and...
- Q An entertainment center is financed at a total cost of $2,364.99 including a down payment of $300. If the center is financed over 24 months, find the monthly payment.The monthly...
- Q The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 12. If 16 fish are randomly selected,...
- Q This equation can be used to predict the population p (in thousands) of Barbaria, a mythicalcountry, for a given year,t where t is the number of years since 1950: p...
- Q Factor the difference of cubes.Recall that a difference of cubes can be rewritten such that a b = (a - b)(a + ab + b). Factor the difference of cubes....
- Q Serafina is solving a number puzzle that involves three integers, e, f, and g, where e is negative. The product of e and fis-15. The product of e and g...
- Q Suppose the charge account of Black's Mailing Service at the local supply store had a 1.7% interest rate per month on the average daily balance. Find the Black's finance charge...
- Q Let B={-20, -19, 0, 19, 20}, and D = {-19}. Insert C or to make the following statement true.D ____ BChoose the correct answer below.A. Not every element of D...
- Q Oscar, Renee, Penny and Hugo, all turkeys, are wandering through the beautiful forest. They spot seven bees and five cockroaches, and in the trees, they see eight spiders. There are...
- Q ALGAE Ronald owns a fish tank in the shape of a rectangular box. The tank is 18 inches high, 14 inches deep, and 30 inches long. Ronald went on a...
- Q In a random sample of 25 students at college, the average IQ was x = 103. Assume that the IQ of a student in college follows aNormal distribution with unknown...
- Q A bird traveled 72 miles in 6 hours flying at constant speed. At this rate, how many miles did the bird travel in 5 hours?1230-6014.4I don't know (I need help...
- Q A flagpole 94.4 ft tall is on the top of a building. From a point on level ground, the angle of elevation of the top of the flagpole is 35.7,...
- Q Automatic transmissions and manual transmissions achieve the same goal: They use power to turn the wheels of a car. However, there are some differences between the two. An automatic transmission...
- Q For a project in her Geometry class, Tamika uses a mirror on the ground to measure the height of her school's football goalpost. She walks a distance of 14.15 meters...
- Q Consider the trinomial x - 11x + 18. In preparation for factoring it by grouping, write -11 as a sum or difference of factors of 18.
- Q Anthony works as a salesperson at an electronics store and sells phones and phone accessories. Anthony earns a $8 commission for every phone he sells and a $4 commission for...
- Q Arnold Brown has a Visa Card with an annual percentage rate of 16.8 %. The unpaid balance for his June billing cycle is $1,054.33. During the billing cycle he purchased...
- Q Solve the system of equations using Cramer's Rule if it is applicable.3x - y = 102x + 2y = 12Write the fractions using Cramer's Rule in the form of determinants....
- Q A total of 568 tickets were sold for the school play. They were either adult tickets or student tickets. There were 68 more student tickets sold than adult tickets. How...
- Q Peg and Larry purchased "no contract" cell phones. Peg's phone costs $25 plus $0.25 per minute. Larry's phone costs $35 plus $0.20 per minute. After how many minutes of use...
- Q 1/9+5/6Least multiple that is the same:Add using renamed fractions:
- Q A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 12 hotdogs and each large pack...
- Q The families "a", "b" and "c" are invited to dinner. The probabilities that each family will come are 0.8, 0.6 and 0.9, respectively. In addition, each family's decision is independent...
- Q Karen, Dan, and Josh sent a total of 109 text messages over their cell phones during the weekend. Josh sent 4 times as many messages as Dan. Dan sent 5...
- Q On an exam for a class with 54 students, the mean score was 77.2 points. The instructor rescored the exam by adding 6 points to the exam score for every...
- Q Factor the following polynomial if possible. Hint: Using an identity will be helpful.27x3+yz Cannot be simply factored. (3x+yz) (9x-3xyz + yz) (2x+yz)(4x-2xyz + yz)(3x-yz) (9x+3xyz + yz)(3x+yz) (9x-3xyz+z)
- Q Which of the following sets of numbers could represent the three sides of a triangle? {10, 21, 32} {14, 24, 40} {13, 17, 32} {13, 16, 27}
- Q A company manufactures electronic components that each must weigh from 29.5 grams to 30.5 grams, inclusive. Which of the following inequalities describes all acceptable weights x, in grams, for each...
- Q Michael wishes to give his son a savings bond that will mature in 8 years. He would like the value of the savings bond to be $5,000 at maturity. If...
- Q Define a variable and write an inequality. Then sol Marlea received an inheritance of $10,000. She plans to invest some in a stock that pays 7% interest annually. She will...
- Q Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.a.Write an equation that can be used to find...
- Q Fabian is 1.65 meters tall. At 12 noon, hemeasures the length of a tree's shadow to be18.35 meters. He stands 13.6 meters away fromthe tree, so that the tip of...
- Q Change the logarithmic equation to an equivalent equation involving an exponent.In x = 9The equivalent exponential equation is
- Q For a project in her Geometry class, Chloe uses amirror on the ground to measure the height ofher school's football goalpost. She walks adistance of 13.65 meters from the goalpost,...
- Q A newsletter publisher believes that 26% of their readers own apersonal computer. Is there sufficient evidence at the 0.01 level to refute thepublisher's claim?State the null and alternative hypotheses for...
- Q A half-century ago, the mean height of women in a particular country in their 20s was 62.4 inches. Assume that the heights of today's women in their 20s are approximately...
- Q A boxer needs to lose 3 1/2 kg in a month to be able to compete as a flyweight. In three weeks, he lowers his weight from 55.5 kg to...
- Q Solve the linear programming problem using the simplex method.MaximizeP=2x? + 3x? + 4x3X? + X3 ?24subject tox2 + x3 ?18X1, X2, X3 20Use the simplex method to solve the problem....
- Q The formula D=20 e -0.6h can be used to find the number of milligrams D of a certain drug that is in a patient's bloodstream h hours after the drug...
- Q Write inequalities to represent the situations below.To get the 10% discount, a shopper must spend more than $300.Used to represent the spending (in dollars) of a shopper who gets the...
- Q Type the missing number to complete the proportion.18 plants in 1 row 72 plants in rows
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