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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Use the circle graph to answer the questions. Students at Bayshore High School were polled to determine the type of music they preferred. There were 1960 students who completed the poll. Their
Use the table to answer the questions. The elements that compose seawater, along with the corresponding percents, are shown in the table below. Where appropriate, round your answers to two decimal
Use the table to answer the questions. The elements that compose seawater, along with the corresponding percents, are shown in the table below. Where appropriate, round your answers to two decimal
Use the table to answer the questions. The elements that compose seawater, along with the corresponding percents, are shown in the table below. Where appropriate, round your answers to two decimal
Use the table to answer the questions. The elements that compose seawater, along with the corresponding percents, are shown in the table below. Where appropriate, round your answers to two decimal
Use the circle graph to answer the questions. The Lafayette County Library classifies its DVDs into one of the categories shown below. The library owns 1743 DVDs. Round your answers to the nearest
Use the circle graph to answer the questions. The Lafayette County Library classifies its DVDs into one of the categories shown below. The library owns 1743 DVDs. Round your answers to the nearest
Use the circle graph to answer the questions. The Lafayette County Library classifies its DVDs into one of the categories shown below. The library owns 1743 DVDs. Round your answers to the nearest
Use the circle graph to answer the questions. The Lafayette County Library classifies its DVDs into one of the categories shown below. The library owns 1743 DVDs. Round your answers to the nearest
One serving of Original Triscuit crackers contains 4 grams of fat. Reduced-Fat Triscuit crackers contain 37.5% less fat per serving than Original Triscuit crackers. How many grams of fat does one
The purpose of this exercise is to demonstrate that it is much more beneficial to begin to invest for retirement early than it is to wait. We will compare the investments of two investors, Alberto
In parts (a) through (c), determine which is the greater amount and by how much.(a) $100 increased by 25% or $200 decreased by 25%.(b) $100 increased by 50% or $200 decreased by 50%.(c) $100
The Tie Shoppe paid $5901.79 for a shipment of 500 ties and wants to make a profit of 40% of the cost on the whole shipment. The store is having two special sales. At the first sale it plans to sell
(a) A coat is marked down 10%, and the customer is given a second discount of 15%. Is that the same as a single discount of 25%? Explain.(b) The regular price of a chair is $189.99. Determine the
Kane’s Furniture Store advertised a table at a 15% discount. The original selling price was $115, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Quincy purchased a used car for $1000. He decided to sell the car for 10% above his purchase price. Quincy could not sell the car so he reduced his asking price by 10%. If he sells the car at the
The cost of a fish dinner to the owner of the Golden Wharf restaurant is $7.95. The fish dinner is sold for $11.95. Determine the percent markup.Where appropriate, round your answer to the nearest
The cost of a soccer ball to Soccer Line Sports Goods is $35. They sell the same soccer ball for $49. Determine the percent markup in the price of the soccer ball.Where appropriate, round your answer
On January 1, Juan weighed 235 pounds and decided to diet and exercise. On June 30, Juan weighed 210 pounds. Determine the percent decrease in Juan’s weight from January 1 to June 30.Where
The regular price of a Phillips color TV is $539.62. During a sale, Hill TV is selling the TV for $439. Determine the percent decrease in the price of this TV.Where appropriate, round your answer to
If the Kirby dealership pays $320 for each unit and sells a unit for $699, what is the percent markup in the price of each unit?Where appropriate, round your answer to the nearest tenth of percent.
A Kirby vacuum cleaner dealer-ship sold 430 units in 2015 and 407 units in 2016. Find the percent increase or decrease in the number of units sold.Where appropriate, round your answer to the nearest
Maya’s present salary is $42,500. As part of a promotion her salary will increase by 4% next year. What will Maya’s new salary be?Where appropriate, round your answer to the nearest tenth of
Mr. Brown’s present salary is $36,500. He is getting an increase of 7% in his salary next year. What will his new salary be?Where appropriate, round your answer to the nearest tenth of percent.
The Fastlock Company hired 57 new employees, which increased its staff by 30%. What was the original number of employees?Where appropriate, round your answer to the nearest tenth of percent.
In a mathematics class, eighteen students received an A on the third test, which is 150% of the students who received an A on the second test. How many students received an A on the second test?Where
The Brants’ dinner cost $68.00 before tax, and the tax rate was 7.5%. (a) What is the tax on the Brants’ dinner?(b) If the Brants decide to tip 20% of the pretax bill, how much is the
According to the Original Tipping Page, www.tipping.org, it is appropriate to tip waiters and waitresses 15%–20% of the pretax restaurant bill. The Leesebergs’ dinner costs $43.50 before tax, and
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.Forty-eight is 60% of what number?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.Twenty-one is 14% of what number?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.Ten percent of what number is 75?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.Five percent of what number is 15?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.Sixty-five is what percent of 104?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.Fifty-four is what percent of 600?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.What percent of 75 is 15?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.What percent of 96 is 24?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.Thirty-two percent of 50 is what number?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.Twelve percent of 40 is what number?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.What is 6.5% of $150.00?
Where appropriate, round your answer to the nearest tenth of percent.Determine the answer to the question.What is 15% of $45.00?
The following graph shows the annual salary for the president of the United States for selected years from 1789 to 2001.(a) Determine the percent increase in annual salary from 1789 to 1873.(b)
The graph at the top of the next column shows the land area of the United States, in millions of square miles, for the years 1790, 1810, 1830, 1850, and 1870.(a) Determine the percent increase in
Paul is negotiating with two credit unions for a mortgage to buy a condominium selling for $525,000. The terms at Grant County Teacher’s Credit Union are a 20% down payment, an interest rate of
Ingrid obtains a 30-year, $63,750 conventional mortgage at a 8.5% rate on a house selling for $75,000. Her monthly payment, including principal and interest, is $490.18. She pays 0 points.(a)
The Zhengs’ gross monthly income is $4100. They have 18 remaining boat payments of $505. The Zhengs are applying for a 20-year, $275,000 mortgage at a 9% interest rate to buy a new house. The taxes
The Guenthers’ gross monthly income is $3200. They have 25 remaining car payments of $335. The Guenthers are applying for a 15-year, $150,000 mortgage at 5% interest to buy a new house. The taxes
The Nicols are buying a house selling for $245,000. They pay a down payment of $45,000 from the sale of their current house. To obtain a 15-year mortgage at a 4.5% interest rate, the Nicols must pay
Martha is buying a house selling for $195,000. The bank is requiring a minimum down payment of 20%. To obtain a 20-year mortgage at 6% interest, she must pay 2 points at the time of closing.(a) What
The Firszts are purchasing their first home for $199,900. They are obtaining an FHA mortgage through their credit union and are required to make a 3% down payment. They obtain a 30-year mortgage with
Felix is purchasing a brownstone townhouse in Brooklyn for $2,100,000. To obtain the mortgage, Felix is required to make a 19% down payment. Felix obtains a 25-year mortgage with an interest rate of
Toni is buying a condominium selling for $135,000. To obtain the mortgage, Toni is required to make a 20% down payment. Toni obtains a 15-year mortgage with an interest rate of 3.0%.(a) Determine the
Anna is buying a house selling for $225,000. To obtain the mortgage, Anna is required to make a 15% down payment. Anna obtains a 30-year mortgage with an interest rate of 5%. (a) Determine the
Christine took a world cruise that had a cash price of $23,000 by paying 10% down and financing the balance with a 48-month fixed installment loan. The APR on the loan was 6.0%. Before making the
When an installment loan is repaid early, there is a second method for calculating unearned interest called the rule of 78s. Although rarely used today, the fol-lowing formula can be used to
Suppose the Chans in Exercise 16 use a credit card rather than an installment plan. Assume that they make the same down payment, have no finance charge the first month, make no additional purchases
Ken bought a new car, but now he cannot remember the original purchase price. His payments are $379.50 per month for 36 months. He remembers that the salesperson said the simple interest rate for the
Sara wants to purchase a new television set. The purchase price is $890. If she purchases the set today and pays cash, she must take money out of her savings account. Another option is to charge the
Grisha needs to borrow $1000 for an automobile repair. She finds that State National Bank charges 5% simple interest on the amount borrowed for the duration of the loan and requires the loan to be
Travis uses his credit card to obtain a cash advance of $600 to pay for his textbooks in medical school. The interest rate charged for the loan is 0.05477% per day. Travis repays the money plus the
John borrowed $875 against his charge account on September 12 and repaid the loan on October 14 (32 days later). Assume that the interest rate is 0.04273% per day.(a) How much interest did John pay
Refer to Exercise 27. Instead of the previous balance method, suppose that Carol Ann’s bank uses the average daily balance method. Reference Exercise 27:(a) Determine Carol Ann’s average
The Levys’ credit card statement shows a balance due of $1578.25 on March 23, the billing date. For the period ending April 23, they had the following transactions.(a) Determine the average daily
The balance on the Razazadas’ credit card on May 12, their billing date, was $378.50. For the period ending June 12, they had the following transactions.(a) Determine the average daily balance for
On April 15, the billing date, Gabrielle had a balance due of $57.88 on her credit card. She is redecorating her apartment and has the following transactions.(a) Determine the finance charge on May
On February 3, the billing date, Carol Ann had a balance due of $124.78 on her credit card. Her bank charges an interest rate of 1.25% per month. She made the following transactions during the
On September 5, the billing date, Verna had a balance due of $567.20 on her credit card. The transactions during the following month were(a) Determine the finance charge on October 5, using the
On the November 4 billing date, Tasia had a balance due of $1203.85 on her credit card. From November 4 through December 4, Tasia charged an additional $106.94 and made a payment of $525.(a)
Harry’s credit card company deter-mines his minimum monthly payment by adding all new interest to 2.5% of the outstanding principal. The credit card company charges an interest rate of 0.03164% per
Kevin’s credit card company deter-mines his minimum monthly payment by adding all new interest to 1.5% of the outstanding principal. The credit card company charges an interest rate of 0.05163% per
Evelyn’s credit card company determines her minimum monthly payment by adding all new interest to 2% of the outstanding principal. The credit card company charges an interest rate of 0.04238% per
Shiing’s credit card company determines his minimum monthly payment by adding all new interest to 1% of the outstanding principal. The credit card company charges an interest rate of 0.039698% per
Jeff buys a new motorcycle for $12,000. He receives $4500 as a trade-in on his old motorcycle and uses the money as a down payment. Jeff finances the balance at 6.5% APR over 24 months. Before making
Nina buys a new sport utility vehicle for $32,000. She trades in her old truck and receives $10,000, which she uses as a down payment. She finances the balance at 8% APR over 36 months. Before making
Jeslie Ann has a 48-month installment loan with a fixed monthly payment of $83.81. The amount she borrowed was $3500. Instead of making her 18th payment, Jeslie Ann is paying the remaining balance on
Ray took out a 60-month fixed installment loan of $12,000 to open a new pet store. He paid no money down and began making monthly payments of $232. Ray’s business does better than expected and
Mr. and Mrs. Chan want to buy furniture that has a cash price of $3450. On the installment plan, they must pay 25% of the cash price as a down payment and make six monthly payments of $437.(a) What
Keenan is purchasing a new boat that sells for $56,214, including taxes and fees. He receives $17,000 as a trade-in on his old boat and uses the money as a down payment. Keenan finances the balance
Ilga purchased a new computer on a monthly purchase plan. The computer sold for $1495. Ilga paid 5% down and $64 a month for 24 months.(a) What finance charge did Ilga pay?(b) What is the APR to the
Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down, with the balance paid in 36 monthly payments of $189.40.(a) What finance charge
Juan paid $7000 for a new central air-conditioning unit for his house. He paid 20% as a down payment and financed the balance with a 36-month fixed installment loan with an APR of 5%. (a)
Brenda is a beautician who is opening her own salon in her home. She needs $8500 to purchase furniture and equipment. Brenda makes a 10% down payment and finances the balance with a 48-month fixed
Use the compound interest formula to compute the total amount accumulated and the interest earned. Round all answers to the nearest cent.$8000 for 2 years at 4% compounded daily (use n = 360).
Use the compound interest formula to compute the total amount accumulated and the interest earned. Round all answers to the nearest cent.$2500 for 4 years at 1.2% compounded monthly.
Use the compound interest formula to compute the total amount accumulated and the interest earned. Round all answers to the nearest cent.$7000 for 3 years at 5.5% compounded monthly.
Elisa is a freshman in high school and would like to have $15,000 in 4 years to buy a car for college. How much should she invest monthly in a sinking fund with a 6% interest rate compounded monthly
To raise money to buy new musical instruments, the rock band White Noise Reverie decides to invest $400 monthly in an ordinary annuity with a 3% interest rate compounded monthly. Determine the
(a) Determine the total cost of the house (excluding home-owners’ insurance and taxes) after 30 years.(b) How much of the total cost is interest, including points?The Leungs decided to build a new
Do the Leungs meet the requirements for the mortgage?The Leungs decided to build a new house. The contractor quoted them a price of $144,500, including the lot. The taxes on the house would be $3200
Determine their total monthly payments, including homeowners’ insurance and taxes.The Leungs decided to build a new house. The contractor quoted them a price of $144,500, including the lot. The
Determine the monthly payments of principal and inter-est for a 30-year loan.The Leungs decided to build a new house. The contractor quoted them a price of $144,500, including the lot. The taxes on
Determine 28% of their adjusted monthly income.The Leungs decided to build a new house. The contractor quoted them a price of $144,500, including the lot. The taxes on the house would be $3200 per
Determine the amount paid for points.The Leungs decided to build a new house. The contractor quoted them a price of $144,500, including the lot. The taxes on the house would be $3200 per year, and
What is the required down payment?The Leungs decided to build a new house. The contractor quoted them a price of $144,500, including the lot. The taxes on the house would be $3200 per year, and
Michael’s credit card statement shows a balance due of $878.25 on March 23, the billing date. For the period ending on April 23, he had the following transactions.(a) Determine the finance charge
Gino borrowed $7500. To repay the loan, he was scheduled to make 36 monthly installment payments of $223.10. Instead of making his 24th payment, Gino decides to pay off the loan.(a) Determine the APR
Raja would like to save $80,000 to buy a new Chris Craft Silver Bullet boat in 5 years. To accumulate $80,000 in 5 years, how much should Raja invest quarterly in a sinking fund with a 3.6% interest
To save money to take an around-the-world vacation, Kim invests $250 monthly in an ordinary annuity with a 9% interest rate compounded monthly. Determine the accumulated amount in Kim’s annuity
The Cunninghams purchased a new home for $375,000 with a down payment of $140,000. They obtained a 15-year adjustable rate mort-gage with the following terms. The interest rate is based on the
James purchased a home selling for $89,900 with a 15% down payment. The period of the mortgage is 30 years, and the interest rate is 11.5% with no points. Determine the (a) Amount of the down
The Freemans have decided to build a new house. The contractor quoted them a price of $135,700. The taxes on the house will be $3450 per year, and homeowners’ insurance will be $350 per year. They

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