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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

On August 5, the billing date, Pat had a balance due of $185.72 on her credit card. Pat’s transactions during the month of August were(a) Determine the finance charge on September 5 by using the
On June 1, the billing date, Tim had a balance due of $485.75 on his credit card. Tim’s transactions during the month of June were(a) Determine the finance charge on July 1 by using the previous
Dara’s cost for a new wardrobe was $3420. She made a down payment of $860 and financed the balance on a 24-month fixed payment installment loan. The monthly payments are $111.73. Instead of making
Bill has a 48-month installment loan with a fixed monthly payment of $176.14. The amount borrowed was $7500. Instead of making his 24th payment, Bill is paying the remaining balance on the
Deepankar bought a new Piper Sport airplane for $140,000. He made a 40% down payment and financed the balance with the dealer on a 60-month installment loan. The monthly payments were $1624.(a)
Sadie is starting a consulting business and purchased new office equipment and furniture selling for $12,850. Sadie paid 20% as a down payment and financed the balance with a 36-month fixed
Denise purchased a new car selling for $26,000. Denise paid 30% as a down payment and financed the balance with a 60-month fixed installment loan with an APR of 5.0%.(a) Determine the down
How much money should Mrs. Holdren invest today in a 5-year CD that pays a 2.6% interest rate compounded quarterly so the CD will be worth $4750 in 5 years?
Determine the effective annual yield of an investment if the interest is compounded daily at an annual rate of 5.6%.
Determine the amount and the interest when $5000 is invested for 5 years at a 6% interest rate(a) compounded annually.(b) compounded semiannually.(c) compounded quarterly.(d) compounded monthly.(e)
On May 15, The Underground Repair Service Garage signed a $6700 bank note with a simple interest rate of 6.1% for 210 days. The company made a partial payment of $3250 on August 31. How much will the
On April 1, The Red Velvet Bakery signed a $8400 bank note with a simple interest rate of 4.5% for 180 days. The company made a partial payment of $2900 on June 1. How much will the bakery owe on the
Nikos borrowed $6000 for 24 months from his bank using an discount note.(a) How much interest did Nikos pay the bank for the use of the money?(b) How much did he receive from the bank?(c) What
To pay for his daughter’s wedding, Mike borrows $7500 from his friend. The loan was for 24 months and had a simple interest rate of 2.5%. Determine the amount Mike paid his friend on the date of
Determine the missing quantity by using the simple interest formula.p = $3600, r = , t = ? i = $555.75 3%
Determine the missing quantity by using the simple interest formula.p = ?, r = , t = 3 years, i = 114.75 8 %
Determine the missing quantity by using the simple interest formula.p = $2700, r = ?, t = 100 days, i = 37.50
Determine the missing quantity by using the simple interest formula.p = $2500, r = 1.5%, t = 3 years, i = ?
A jar contains 1050 jelly beans. Of these jelly beans, 126 are green. What percent of the jelly beans in the jar are green?
If the number of people in your yoga club increased by 20%, or 8 people, what was the original number of people in the club?
At Empress Garden Restaurant, Vishnu and Krishna’s bill comes to $42.79. If they wish to leave a 15% tip, how much should they tip the waiter?
Solve for the unknown quantity.What is 17% of 540?
Solve for the unknown quantity.Forty-four is 55% of what number?
Solve for the unknown quantity.What percent of 60 is 12?
Until he began his new wellness program, Mr. Davis consumed 3200 calories per day. He now consumes 2800 calories per day. Determine the percent decrease in the number of calories consumed per day by
Charlotte had a salary of $41,500 during the first year of a new job and a salary of $42,745 during the second year. Determine the percent increase in Charlotte’s salary from the first year to the
Change the percent to a decimal number.0.00045%
Change the percent to a decimal number.5/6%
Determine the exact time from the first date to the second date. Use Table 10.1. Assume the year is not a leap year unless otherwise indicated.December 21 to April 28 Days in Each Month 31 28 31 30
Determine the exact time from the first date to the second date. Use Table 10.1. Assume the year is not a leap year unless otherwise indicated.August 24 to May 15 Days in Each Month 31 28 31 30 31 30
Determine the exact time from the first date to the second date. Use Table 10.1. Assume the year is not a leap year unless otherwise indicated.June 14 to January 24 Days in Each Month 31 28 31 30 31
Determine the exact time from the first date to the second date. Use Table 10.1. Assume the year is not a leap year unless otherwise indicated.February 2 to October 31 (the loan is due in a leap
Determine the exact time from the first date to the second date. Use Table 10.1. Assume the year is not a leap year unless otherwise indicated.February 14 to December 25 Days in Each Month 31 28 31
Determine the exact time from the first date to the second date. Use Table 10.1. Assume the year is not a leap year unless otherwise indicated.April 18 to November 11 Days in Each Month 31 28 31 30
Jeffrey wants to take his mother out for dinner on her birthday, so he pawns his watch. The pawnbroker loans Jeffrey $75. Fourteen days later, Jeffrey gets his watch back by paying the pawnbroker
Elisa needs money to repair her home air conditioner, so she pawns her bicycle. The pawnbroker loans Elisa $270. Seven days later, Elisa gets her bicycle back by paying the pawnbroker $280.50. What
Kwame borrowed $2500 for 5 months from a bank using a 3% discount note.(a) How much interest did Kwame pay the bank for the use of its money?(b) How much did he receive from the bank?(c) What was the
Julie borrowed $3650 from her bank for 18 months using a 7.6% discount note.(a) How much interest did Julie pay the bank for the use of its money?(b) How much did she receive from the bank?(c) What
Aidan runs a car repair garage and needs $6000 to install a new car lift. He borrows the money on a 30-month personal bank note with his mother cosigning the loan. The simple interest rate charged is
Karen borrowed $3500 from a bank for 6 months. Her friend Ms. Harris was cosigner of Karen’s personal note. The bank collected %simple interest on the date of maturity.(a) How much did Karen
The city of Bradenton is offering simple interest loans to start-up businesses at a rate of 3.5%. Mr. Cannata obtains one of these loans of $6000 for 3 years to help pay for start-up costs of his
Joshua uses the Small Business Administration (SBA) Loan Program to obtain a loan to help expand his vending machine business. Joshua borrows $25,000 for 2 years with a simple interest rate of 1.5%.
Use the simple interest formula to determine the missing value. If necessary, round all dollar figures to the nearest cent.p = $1650.00, r = ?, t = 6.5 years,
Use the simple interest formula to determine the missing value. If necessary, round all dollar figures to the nearest cent.p = $957.62, r = 6.5%, t = ?, i =
Use the simple interest formula to determine the missing value. If necessary, round all dollar figures to the nearest cent.p = $800.00, r = 4%, t = ?, i =
Use the simple interest formula to determine the missing value. If necessary, round all dollar figures to the nearest cent.p = ?, r = 6%, t = 5 months, i =
Use the simple interest formula to determine the missing value. If necessary, round all dollar figures to the nearest cent.p = ?, r = 2.1%, t = 135 days, i =
Use the simple interest formula to determine the missing value. If necessary, round all dollar figures to the nearest cent.p = $1725, r = ?, t = 3 years, i =
Determine the simple interest. Unless noted otherwise, assume the rate is an annual rate. Assume 360 days in a year. Round answers to the nearest cent.p =$550.31, r = 8.9%, t = 67 days
Determine the simple interest. Unless noted otherwise, assume the rate is an annual rate. Assume 360 days in a year. Round answers to the nearest cent.p = $1100, r = 8.75%,
Richard borrowed $2000 from Linda. The terms of the loan are as follows: The period of the loan is 3 years, and the rate of interest is 8% compounded semiannually. What rate of simple interest would
A simple formula can help you estimate the number of years required to double your money. It’s called the rule of 72. You simply divide 72 by the interest rate (without the percent sign). For
For a total accumulated amount of $3586.58, a principal of $2000, and a time period of 5 years, use the compound interest formula to find r if interest is compounded monthly.
The average cost for a loaf of bread in 2014 was $2.27. Assuming an annual inflation rate of 0.5% per year, what will be the cost for a loaf of bread in 2019?
You are given a choice of taking the simple interest on $100,000 invested for 4 years at a rate of 5% or the interest on $100,000 invested for 4 years at an interest rate of 5% compounded daily.
Compute the total amount and the interest paid at 12% compounded monthly for 2 years for the following principals.(a) $100.(b) $200.(c) $400(d) Is there a predictable outcome in the interest when the
Determine the total amount and the interest paid on $1000 with interest compounded semiannually for 2 years at (a) 2%.(b) 4%.(c) 8%.(d) Is there a predictable outcome in either the amount or the
After seeing its neighboring village obtain a new water tower, the city board of East Dubuque begins planning to replace its water towers. The board estimates that it will need $1,750,000 to build
The village of Kieler recently completed the construction of a new water tower. The entire cost of the water tower was $925,000, and the state paid $370,000 of the total cost through the awarding of
Rebecca will need to replace the roof of her house in 5 years. How much should Rebecca invest now in a money market account that pays 2.1% interest compounded quarterly in order to have $6000 in 5
Adam wishes to have $20,000 available in 18 years to purchase a new car for his son as a gift for his high school graduation. To accomplish this goal, how much should Adam invest now in a CD that
Mr. Fink’s goal is to have $26,000 to start a new lawn mower repair business when he retires in 15 years. How much should he invest now in a CD that pays 2% interest compounded quarterly to reach
Jim wants to invest some money now to buy a new tractor in the future. If he wants to have $276,000 available in 5 years, how much does he need to invest now in a CD paying 3.6% interest compounded
Suppose you saw an advertisement in the newspaper for a financial planner who was recommending a certificate of deposit that paid 4.5% interest compounded quarterly. In the fine print at the bottom
Suppose you saw a sign at your local bank that said, “2.4% rate compounded monthly—2.6% Annual Percentage Yield (APY).” Is there anything wrong with the sign? Explain.If necessary, round all
Confiance Bank advertises a 1-year CD that pays 1.75% compounded semiannually. Firme Bank advertises a 1-year CD that pays 1.74% compounded monthly. (a) Determine the annual percentage yield for
Prospero Bank advertises a money market account that pays 1.9% interest compounded quarterly. Fuerza Bank advertises a money market account that pays 1.8% compounded daily. (a) Determine the
Determine the effective annual yield for $1 invested for 1 year at 4.75% compounded monthly.If necessary, round all dollar figures to the nearest cent and round percents to the nearest hundredth of a
Determine the effective annual yield for $1 invested for 1 year at 3.5% compounded semiannually.If necessary, round all dollar figures to the nearest cent and round percents to the nearest hundredth
Braden River Little League held various fund raisers and received the following amounts of money: $450 from a car wash, $278 from a bake sale, and $327 from a used equipment sale. The league decides
Cliff just graduated from high school and has received $800 in gifts of cash from friends and relatives. In addition, Cliff received three scholarships in the amounts of $150, $300, and $1000. If
Rikki borrowed $6000 from her daughter, Lynette. She repaid the $6000 at the end of 2 years. If Lynette had left the money in a bank account that paid an interest rate of compounded monthly, how much
Brent borrowed $3000 from his brother Dave. He agreed to repay the money at the end of 2 years, giving Dave the same amount of interest that he would have received if the money had been invested at
Joe just started a new job and has received a $5000 signing bonus. Joe decides to invest this money now so that he can buy a new motor scooter in 5 years. If Joe invests in a 5-year CD paying 3.35%
Karen invested $10,000 in a money market account with an interest rate of 1.75% compounded semiannually. Five years later, Karen withdrew the full amount to put toward the down payment on a new
Marcella wins third prize in the Clearinghouse Sweepstakes and receives a check for $250,000. After spending $10,000 on a vacation, she decides to invest the rest in a money market account that pays
To help pay for a class trip at the end of their senior year, the sophomore class at Cortez High School invests $1500 from fund-raisers in a 30-month CD paying 3.9% interest compounded monthly.
Mary wins $2500 in a singing contest and invests the money in a 4-year CD that pays 3% interest compounded monthly. How much money will Mary receive when she redeems the CD at the end of the 4
Marcus receives an inheritance of $6500. He decides to invest this money in a 5-year certificate of deposit (CD) that pays 1.86% interest compounded semiannually. How much money will Marcus receive
The desired accumulated amount is $15,000 after 30 years invested in an account with 3% interest compounded monthly.Use the present value formula to determine the amount to be invested now, or the
The desired accumulated amount is $100,000 after 4 years invested in an account with 4% interest com-pounded quarterly.Use the present value formula to determine the amount to be invested now, or the
The desired accumulated amount is $75,000 after 5 years invested in an account with 4% interest compounded semiannually.Use the present value formula to determine the amount to be invested now, or
The desired accumulated amount is $45,000 after 10 years invested in an account with 3.6% interest compounded monthly.Use the present value formula to determine the amount to be invested now, or the
Use the compound interest formula to compute the total amount accumulated and the interest earned. Round all answers to the nearest cent.$5600 for 7 years at 2.7% compounded daily.
The following is a miniature version of the Wheel of Fortune. When Dave spins the wheel, he is awarded the amount on the wheel indicated by the pointer. If the wheel points to Bankrupt, he loses the
Determine the expected value of betting $1 on red.Use the roulette wheel illustrated. A roulette wheel typically contains slots with numbers 1–36 and slots marked 0 and 00. A ball is spun on the
Determine the expected value of betting $1 on a particular number.Use the roulette wheel illustrated. A roulette wheel typically contains slots with numbers 1–36 and slots marked 0 and 00. A ball
Is it possible to determine your expectation when you purchase a lottery ticket? Explain.
An insurance company will pay the face value of a term life insurance policy if the insured person dies during the term of the policy. For how much should an insurance company sell a 10-year term
Assume that you are blind-folded and throw a dart at the dart board shown below. Assume that your dart sticks in the dart board, and not on a line.(a) Determine the probabilities that the dart lands
Assume that you are blind-folded and throw a dart at the dart board shown below. Assume that your dart sticks in the dart board, and not on a line.(a) Determine the probabilities that the dart lands
The expenses for Jorge, a real estate agent, to list, advertise, and attempt to sell a house are $1400. If Jorge succeeds in selling the house, he will receive a commission of 6% of the sales price.
On a clear day in Boston, the Automobile Association of American (AAA) makes an average of 110 service calls for motorist assistance, on a rainy day it makes an average of 160 service calls, and on a
Don is considering bringing a lawsuit against the Dummote Company. His lawyer estimates that there is a 70% chance Don will make $60,000, a 10% chance Don will break even, and a 20% chance they will
A die is rolled many times, and the points facing up are recorded. Determine the expected (average) number of points facing up over the long run.
The owner of an antique store estimates that there is a 40% chance she will make $2000 when she sells an antique china cabinet, a 50% chance she will make $750 when she sells the cabinet, and a 10%
Chipotle is opening a new restaurant. The company estimates that there is a 85% chance the restaurant will have a profit of $200,000, a 5% chance the restaurant will break even, and a 10% chance the
A mechanical contractor is preparing for a construction project. He determines that if he completes the project on schedule, his net profit will be $450,000. If he completes the project between 0 and
The academic vice president at Irving Valley College has requested that new academic programs be added to the college curriculum. If the college’s Board of Trustees approves the new programs, the
According to Bristol Mutual Life Insurance’s mortality table, the probability that a 20-year-old woman will survive 1 year is 0.994 and the probability that she will die within 1 year is 0.006. If

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