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mathematics
survey of mathematics
Questions and Answers of
Survey of Mathematics
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 = $6742.75, r = 6.05%,
Use the compound interest formula to compute the total amount accumulated and the interest earned. Round all answers to the nearest cent.$7500 for 5 years at 1.6% compounded quarterly.
Use the ordinary annuity formulato determine the accumulated amount in each annuity. Round all answers to the nearest cent.$1000 invested semiannually for 20 years at a 5% interest rate compounded
Change the percent to a decimal number.1/4%
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 = $465, r = 2.75%,
What is the APR?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.
Use the compound interest formula to compute the total amount accumulated and the interest earned. Round all answers to the nearest cent.$2000 for 4 years at 3% compounded quarterly.
Use the ordinary annuity formulato determine the accumulated amount in each annuity. Round all answers to the nearest cent.$1200 invested annually for 30 years at a 3.5% interest rate compounded
Change the percent to a decimal number.123%
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 = 425, r = 1.92%,
What finance charge will Don pay the bank?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
Use the compound interest formula to compute the total amount accumulated and the interest earned. Round all answers to the nearest cent.$4000 for 2 years at 6% compounded semiannually.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A retirement plan similar to a 401k plan, but available only to employees of schools, governments, and other not-for-profit
Change the percent to a decimal number.21.7%
Fill in the blanks with an appropriate word, phrase, or symbol(s).The Banker’s rule considers a year to have ________ days.
How much money will Don borrow from the bank?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
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: Number Annual Percentage
Use the compound interest formula to compute the total amount accumulated and the interest earned. Round all answers to the nearest cent.$1000 for 6 years at 1.4% compounded semiannually.
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
Change the percent to a decimal number.2%
Fill in the blanks with an appropriate word, phrase, or symbol(s).If a partial payment is made on a loan, interest is computed on the principal from the first day of the loan until the date of the
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).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)
Use the compound interest formula to compute the accumulated amount and the interest earned. Time Rate Principal Compounded a) b) 2 years $7500 3% Quarterly Monthly 3 years 6.5% $2500
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
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).A payment that is less than the full amount owed and made prior to the due date is known as a(n) ____________ payment.
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).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
What total amount of interest did she pay on the loan?Yolanda received a $5400 loan with a 12.5% interest rate for 90 days on August 1. Yolanda made a payment of $3000 on September 15.
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
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).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).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).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).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 ____________ .
How much did she owe the bank on the date of maturity?Yolanda received a $5400 loan with a 12.5% interest rate for 90 days on August 1. Yolanda made a payment of $3000 on September 15.
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)
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).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).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).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 __________.
What is the amount Patty repaid to the bank on the due date of the loan?Patty borrowed $1640 from a bank for 18 months to buy a new office computer. The simple interest rate charged is 3.15%.
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.
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).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).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).In a fixed investment the interest is computed at a fixed rate and the amount invested as principal may be ___________ .
Fill in the blanks with an appropriate word, phrase, or symbol(s).The amount of cash the buyer must pay to the seller before the lending institution will grant the buyer a mortgage is known as the
How much interest did Patty pay for the use of the money?Patty borrowed $1640 from a bank for 18 months to buy a new office computer. The simple interest rate charged is 3.15%.
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
Change the number to a percent. Round your answer to the nearest tenth of a percent.2/3
Fill in the blanks with an appropriate word, phrase, or symbol(s).The money a bank or other lending institution is willing to lend you is called the amount of credit extended or the _______ of the
Fill in the blanks with an appropriate word, phrase, or symbol(s).A loan on which you pay a fixed amount of money for a set number of payments is called a fixed _________ loan.
Fill in the blanks with an appropriate word, phrase, or symbol(s).An investment is the use of money or capital for income or ___________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A long-term loan in which the property is pledged as security for payment of the difference between the down payment and the sale
Find the missing quantity by using the simple interest formula.(a) i = ?, p = $1150, r = 1.1%, t = 42
Fill in the blanks with an appropriate word, phrase, or symbol(s).An account into which, or out of which, a sequence of scheduled payments is made, is called a(n) _____________ .
One serving of whole milk contains 8 g of fat. Reduced-fat milk contains 41.25% less fat per serving than whole milk. How many grams of fat does one serving of reduced-fat milk contain?Where
The U.S. Department of Agriculture’s recommended daily allowance (USRDA) of potassium for adults is 3500 mg. One serving of Cheerios provides 95 mg of potassium. What percent of the USRDA of
The U.S. Department of Agriculture’s recommended daily allowance (USRDA) of niacin for adults is 20 mg. One serving of Cheerios provides 5 mg of niacin. What percent of the USRDA of niacin does one
Change the number given as a percent to a decimal number.298.7%
Change the number given as a percent to a decimal number.135.9%
Change the number given as a percent to a decimal number.3/8%
Change the number given as a percent to a decimal number.1/4%
Change the number given as a percent to a decimal number.0.75%
Change the number given as a percent to a decimal number.5.15%
Change the number given as a percent to a decimal number.39%
Change the number given as a percent to a decimal number.7%
Change the number to a percent. Express your answer to the nearest tenth of a percent.13.678
Change the number to a percent. Express your answer to the nearest tenth of a percent.3.78
Change the number to a percent. Express your answer to the nearest tenth of a percent.0.5688
Change the number to a percent. Express your answer to the nearest tenth of a percent.0.007654
Change the number to a percent. Express your answer to the nearest tenth of a percent.7/8
Change the number to a percent. Express your answer to the nearest tenth of a percent.11/20
Change the number to a percent. Express your answer to the nearest tenth of a percent.6/25
Change the number to a percent. Express your answer to the nearest tenth of a percent.3/5
Fill in the blanks with an appropriate word, phrase, or symbol(s).To compute the percent markup or markdown on cost, first find the difference between selling price and the dealer’s cost, then
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).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).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).To change a fraction to a percent, first divide the numerator by the denominator to obtain a decimal number. Then multiply the
Fill in the blanks with an appropriate word, phrase, or symbol(s).A percent is a ratio of some number to ___________ .
Given and , determine the following.A x B A : -4 6 -2 2 B = 5 3
Given and , determine the following.2A - 3B A : -4 6 -2 2 B = 5 3
Given and , determine the following.A + B A : -4 6 -2 2 B = 5 3
(a) Construct a modulo 5 multiplication table.(b) Is this mathematical system a commutative group? Explain your answer completely.
Determine all positive number replacements for the question mark, less than the modulus, that make the statement true.3 • ? = 2 (mod 6)
Determine all positive number replacements for the question mark, less than the modulus, that make the statement true.3 - ? = 7 (mod 9)
Determine all positive number replacements for the question mark, less than the modulus, that make the statement true.? - 3 = 4 (mod 5)
Determine all positive number replacements for the question mark, less than the modulus, that make the statement true.? + 5 = 3 (mod 6)
Determine the modulo class to which the number belongs for the indicated modulo system.107, mod 11
Determine the modulo class to which the number belongs for the indicated modulo system.39, mod 4
Determine whether the mathematical system is a com-mutative group. Assume that the associative property holds. Explain your answer. & $ & @) & % & & % % & %24
Determine whether the mathematical system is a commutative group. Explain your answer completely. ? 3 2 3 3 2 3 3
Determine whether the mathematical system is a commutative group. Explain your answer completely. b
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