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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

When an installment loan is repaid early, there is a second method, in addition to the actuarial method, used for calculating unearned interest called the rule of 78s. Although rarely used today,
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)
Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.What is 15% of $75,000?
A partial payment is made on the date(s) indicated. Use the United States rule to determine the balance due on the note at the date of maturity. The Effective Date is the date the note was written.
Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.What is 7.5% of $200,000?
Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.Eight percent of 32 is what number?
The average cost for a loaf of bread in 2018 was $2.27. Assuming an annual inflation rate of 0.5% per year, what will be the cost for a loaf of bread in 2023?
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 determine r if interest is compounded monthly.
Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.Twelve is what percent of 150?
A partial payment is made on the date(s) indicated. Use the United States rule to determine the balance due on the note at the date of maturity. The Effective Date is the date the note was written.
Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.One hundred thirty is what percent of 208?
A partial payment is made on the date(s) indicated. Use the United States rule to determine the balance due on the note at the date of maturity. The Effective Date is the date the note was written.
To save for graduate school, Ena invests $1500 semiannually in an ordinary annuity with a 6% interest rate compounded semiannually. Determine the accumulated amount in Ena’s annuity after 10
In Exercise, givendetermine the following.3A - 2B -1] and B 3 57 2. 3 A -3 2 ||
In Exercise, determine whether A × B = B × A holds for matrices A and B. 2 B = 8 -4 4.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Accounts in which individuals may invest up to a certain amount of money each year for the purpose of saving for retirement are
Fill in the blanks with an appropriate word, phrase, or symbol(s).The Banker’s rule considers a year to have _________ days.
Determine the monthly payment for the installment loan. Unless told otherwise by your instructor, you may either use Table 10.2 or the installment payment formula. Annual Percentage Rate Number of
Change the number to a percent. Express your answer to the nearest tenth of a percent.7/20
Determine the monthly principal and interest payment for the mortgage. Unless told otherwise by your instructor, you may use either Table 10.4 or the principal and interest payment formula. Number of
In Exercise,a) Use the compound interest formula to compute the total amount accumulatedb) Determine the interest earned. Round all answers to the nearest cent.$3000 for 6 years at 3% compounded
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 = $375, r = 2.25%, t = 4 years
Determine the monthly payment for the installment loan. Unless told otherwise by your instructor, you may either use Table 10.2 or the installment payment formula.Table 10.2 Annual Percentage Rate
Determine the monthly principal and interest payment for the mortgage. Unless told otherwise by your instructor, you may use either Table 10.4 or the principal and interest payment formula.Table 10.4
In Exercise,a) Use the compound interest formula to compute the total amount accumulatedb) Determine the interest earned. Round all answers to the nearest cent.$6500 for 5 years at 2.9% compounded
Use the ordinary annuity formulato determine the accumulated amount in each annuity. Round all answers to the nearest cent.$800 invested semiannually for 20 years at a 5% interest rate compounded
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 = $620, r = 3.05%, t = 1.5 years
Determine the monthly payment for the installment loan. Unless told otherwise by your instructor, you may either use Table 10.2 or the installment payment formula. Annual Percentage Rate Number of
Change the number to a percent. Express your answer to the nearest tenth of a percent.0.007654
Kara is opening up a new daycare business in her home. She needs $6500 to purchase toys and a backyard playset. Kara makes a 10% down payment and finances the balance with a 48-month fixed
Meghan is buying a house selling for $275,000. To obtain the mortgage, Meghan is required to make a 15% down payment. Megan obtains a 30-year mortgage with an interest rate of 4%.a) Determine the
In Exercise,a) Use the compound interest formula to compute the total amount accumulatedb) Determine the interest earned. Round all answers to the nearest cent.$10,000 for 2 years at 4.5% compounded
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%, t = 90 days
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) Determine
Eraj is buying a condominium selling for $165,000. To obtain the mortgage, Eraj is required to make a 20% down payment. Eraj obtains a 25-year mortgage with an interest rate of 5%.a) Determine the
In Exercise,a) Use the compound interest formula to compute the total amount accumulatedb) Determine the interest earned. Round all answers to the nearest cent.$1500 for 4 years at 1.2% compounded
The Leungs decided to build a new house. The contractor quoted them a price of $215,000, including the lot. The taxes on the house would be $3200 per year, and homeowners’ insurance would
Phillip is purchasing a brownstone townhouse in Boston for $2,337,500. To obtain the mortgage, Phillip is required to make a 20% down payment. Phillip obtains a 20-year mortgage with an interest rate
Use the sinking fund formulato determine the payment needed to reach the accumulated amount. To ensure that enough is invested each period, round each answer up to the next cent.Semiannual payments
The Leungs decided to build a new house. The contractor quoted them a price of $215,000, including the lot. The taxes on the house would be $3200 per year, and homeowners’ insurance would
Change the number to a percent. Express your answer to the nearest tenth of a percent.13.678
Use the sinking fund formulato determine the payment needed to reach the accumulated amount. To ensure that enough is invested each period, round each answer up to the next cent.Weekly payment with a
The Leungs decided to build a new house. The contractor quoted them a price of $215,000, including the lot. The taxes on the house would be $3200 per year, and homeowners’ insurance would
Change the number given as a percent to a decimal number.9%
Tarik is purchasing a new boat that sells for $60,714, including taxes and fees. He receives $21,500 as a trade-in on his old boat and uses the money as a down payment. Tarik finances the balance and
Solve for the unknown quantity.What percent of 80 is 16?
The desired accumulated amount is $25,000 after 10 years invested in an account with 3.6% interest compounded monthly.In Exercise, use the present value formula to determine the amount to be invested
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
Change the number given as a percent to a decimal number.43%
Solve for the unknown quantity.Forty-four is 55% of what number?
The desired accumulated amount is $90,000 after 8 years invested in an account with 4% interest compounded semiannually.In Exercise, use the present value formula to determine the amount to be
Change the number given as a percent to a decimal number.7.24%
Solve for the unknown quantity.What is 17% of 540?
The Leungs decided to build a new house. The contractor quoted them a price of $215,000, including the lot. The taxes on the house would be $3200 per year, and homeowners’ insurance would
At Mamason’s, Anuj and Renuka’s bill comes to $52.19, pretax. If they wish to leave a 15% tip on the pretax amount, how much should they tip the waiter?
The Leungs decided to build a new house. The contractor quoted them a price of $215,000, including the lot. The taxes on the house would be $3200 per year, and homeowners’ insurance would
Ingrid obtains a 15-year, $63,750 conventional mortgage at a 6.5% rate on a house selling for $75,000. Her monthly payment, including principal and interest, is $555.33. She pays 0 points.a)
Emanuel receives an inheritance of $8500. He decides to invest this money in a 5-year certificate of deposit (CD) that pays 2.57% interest compounded semiannually. How much money will Emanuel receive
Don purchases a new bicycle that sells for $2350 using a bank loan. To finance the loan the bank will require a down payment of 15% and monthly payments of $90.79 for 24 months.What finance charge
In Exercise,a) Use the compound interest formula to compute the total amount accumulatedb) Determine the interest earned. Round all answers to the nearest cent.$2500 for 3 years at 4% compounded
Determine the monthly principal and interest payment for the mortgage. Unless told otherwise by your instructor, you may use either Table 10.4 or the principal and interest payment formula. Number of
Change the percent to a decimal number.22.9%
Change the number to a percent. Express your answer to the nearest tenth of a percent.3/25
Determine the monthly payment for the installment loan. Unless told otherwise by your instructor, you may either use Table 10.2 or the installment payment formula. Annual Percentage Rate Number of
Fill in the blanks with an appropriate word, phrase, or symbol(s).A retirement savings plan in which employees of private companies can make contributions of pre–income tax dollars that are then
In Exercise,a) Use the compound interest formula to compute the total amount accumulatedb) Determine the interest earned. Round all answers to the nearest cent. $850 for 4 years at 2.4%
Determine the monthly principal and interest payment for the mortgage. Unless told otherwise by your instructor, you may use either Table 10.4 or the principal and interest payment formula. Number of
Change the percent to a decimal number.8%
Change the number to a percent. Express your answer to the nearest tenth of a percent.2/5
Fill in the blanks with an appropriate word, phrase, or symbol(s).The period between when a purchase is made and when the credit card company begins charging interest is called the __________ period.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A payment that is less than the full amount owed and made prior to the due date is known as a(n) _________ payment.
Change the number to a percent. Round your answer to the nearest tenth of a percent.3.141
Fill in the blanks with an appropriate word, phrase, or symbol(s).The principal that you would have to invest now to have a certain amount of money in the future is called the _________ value.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A list containing the payment number, payment on interest, payment on principal, and the balance of the loan is called a(n)
Fill in the blanks with an appropriate word, phrase, or symbol(s).To compute the percent markup or markdown on cost, first determine the difference between selling price and the dealer’s cost, then
Fill in the blanks with an appropriate word, phrase, or symbol(s).The sum of all the monthly payments and the down payment, if any, is called the total __________ price.
Fill in the blanks with an appropriate word, phrase, or symbol(s).When using the simple interest formula, time, t, is expressed in the same period as the _________ .
Fill in the blanks with an appropriate word, phrase, or symbol(s).An annuity that is established with a lump sum for the purpose of providing the investor with regular payments for the rest of the
Fill in the blanks with an appropriate word, phrase, or symbol(s).The effective annual yield or the annual percentage yield is the simple interest rate that gives the same amount of interest as a(n)
Fill in the blanks with an appropriate word, phrase, or symbol(s).The buyer’s gross monthly income minus any fixed monthly payments with more than 10 months remaining is known as the buyer’s
Change the number to a percent. Round your answer to the nearest tenth of a percent.0.0098
Fill in the blanks with an appropriate word, phrase, or symbol(s).To compute the percent change, first determine the difference between the amount in the latest period and the amount in the previous
Fill in the blanks with an appropriate word, phrase, or symbol(s).The total amount of money the borrower must pay for borrowing the money is called the __________ charge.
Fill in the blanks with an appropriate word, phrase, or symbol(s).When using the simple interest formula, the interest rate, r, is expressed as a(n) _________ number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A variable annuity is an annuity that is invested in stocks, bonds, mutual funds, or other investments that do not provide a(n)
Fill in the blanks with an appropriate word, phrase, or symbol(s).Interest that is computed on the principal and any accumulated interest is called _________ interest.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The final step of purchasing a home is called the __________ .
Change the number to a percent. Round your answer to the nearest tenth of a percent.0.041
Fill in the blanks with an appropriate word, phrase, or symbol(s).To change a percent to a decimal number, divide the number by 100 and ________ the percent sign.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The true rate of interest charged for a loan is called the __________ percentage rate.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The money the borrower pays for the use of the lender’s money is called the _________ .
Fill in the blanks with an appropriate word, phrase, or symbol(s).A type of annuity in which the goal is to save a specific amount of money in a specific amount of time is called a(n) _______ fund.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If neither the principal nor the interest is guaranteed, the investment is called a(n) _________ investment.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Interest prepaid by the buyer, which may be used to reduce the stated interest rate the lender charges, are known as __________ .
Change the number to a percent. Round your answer to the nearest tenth of a percent.5/8
Fill in the blanks with an appropriate word, phrase, or symbol(s).To change a decimal number to a percent, multiply the decimal number by ________ and add a percent sign.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A loan on which you make variable payments each month is called a(n) __________ installment loan.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Anything of value pledged by the borrower that the lender may sell or keep if the borrower does not repay the loan is called the
Fill in the blanks with an appropriate word, phrase, or symbol(s).The amount of money that is present in an ordinary annuity after t years is known as the accumulated amount or the _______ value of
Fill in the blanks with an appropriate word, phrase, or symbol(s).In a fixed investment the interest is computed at a fixed rate and the amount invested as principal may be _________ .

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