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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Becky would like to be a millionaire in 20 years. How much would she need to invest quarterly in a sinking fund paying an 8% interest rate compounded quarterly to accumulate $1,000,000 in 20
Ashley would like to run for Congress in 10 years and would like to have $500,000 to spend on campaign expenses. How much should she invest monthly in a sinking fund with a 6% interest rate
Nick would like to have $24,000 to buy a new motorcycle in 6 years. To accumulate $24,000 in 6 years, how much should Nick invest monthly in a sinking fund with a 7.5% interest rate compounded
To save for their grand-children’s college expenses, Ken and Laura invest $500 each month in an ordinary annuity with a 6% interest rate compounded monthly. Determine the accumulated amount in the
To save for graduate school, Ena invests $2000 semiannually in an ordinary annuity with a 7% interest rate compounded semiannually. Determine the accumulated amount in Ena’s annuity after 10
To save money to start a new business, Sandra invests $200 each quarter in an ordinary annuity with a 5% interest rate compounded quarterly. Determine the accumulated amount in Sandra’s annuity
To save for retirement Max invests $150 each month in an ordinary annuity with a 3.3% interest rate compounded monthly. Determine the accumulated amount in Max’s annuity after 40 years.Round all
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.Quarterly payments
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.Monthly payments with
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
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
Use the ordinary annuity formulato determine the accumulated amount in each annuity. Round all answers to the nearest cent.$200 invested monthly for 40 years at a 6% interest rate compounded monthly.
Use the ordinary annuity formulato determine the accumulated amount in each annuity. Round all answers to the nearest cent.$400 invested quarterly for 35 years at a 8% interest rate compounded
On August 3, 1492, Christopher Columbus set sail on a voyage that would eventually lead him to the Americas. If on this day Columbus had invested $1 in a 5% simple interest account, determine the
The Banker’s rule considers a year to have 360 instead of 365 days. This exercise highlights the advantage the Banker’s rule provides to banks and other lenders. Professor Acks obtains a bank
Nick borrowed $600 for 3 months. The banker said that Nick must repay the loan at the rate of $200 per month plus interest. The bank was charging a rate of 2 percentage points above the prime
Many tax preparation organizations will prepay customers’ tax refunds if they pay a one-time finance charge. In essence, the customer is borrowing the money (the refund minus the finance charge)
On December 3, 2014, Trinity purchased a 364-day, $6000 U.S. Treasury bill at a 0.12% discount. (a) What is the date of maturity of the Treasury bill? (b) How much did Trinity actually pay
The U.S. government borrows money by selling Treasury bills. Treasury bills are discounted notes issued by the U.S. government. On November 14, 2014, Kris purchased a 364-day, $1000 U.S. Treasury
On April 3, the Mears Flag Company borrowed $15,000 to pay for start-up costs for its new showroom. The loan had a simple interest rate of 8.25% and was for 270 days. The company was able to make
On March 1, the Zwick Balloon Company signed a $6500 note with simple interest of for 180 days. The company made payments of $1750 on May 1 and $2350 on July 1. How much will the company owe on
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Determine the due date of the loan, using the exact time, if the loan is made on the given date for the given number of days.July 5 for 210 days.
Determine the due date of the loan, using the exact time, if the loan is made on the given date for the given number of days.November 25 for 120 days (the loan is due in a leap year)
Determine the due date of the loan, using the exact time, if the loan is made on the given date for the given number of days.May 11 for 120 days.
Determine the due date of the loan, using the exact time, if the loan is made on the given date for the given number of days.July 4 for 150 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.Table 10.2: Number Annual Percentage
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
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
Determine the monthly principal and inter-est 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
Determine the monthly principal and inter-est 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
Determine the monthly principal and inter-est 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
Determine the monthly principal and inter-est 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
(a) To open a combination lock, you must know the lock’s three-number sequence in its proper order. Repetition of numbers is permitted. Why is this lock more like a permutation lock than a
Forming a Committee A group of 15 people wants to form a committee consisting of a chair, vice chair, and three additional members. How many different committees can be formed?
Show that nCr = nC(n-r).
(a) How many distinct ways can four people be seated in a row? (b) How many distinct ways can four people be seated at a circular table?
Determine the number of combinations possible in a state lottery where you must select(a) 6 of 46 numbers. (b) 6 of 47 numbers. (c) 6 of 48 numbers. (d) 6 of 49 numbers. (e) Does
The notation nCr may be written a (a) Use this notation to evaluate each of the combinations in the following array. Form a triangle of the results, similar to the one given, by placing the answer to
(a) Four people at dinner make a toast. If each person is to tap glasses with each other person one at a time, how many taps will take place? (b) Repeat part (a) with five people. (c) How
Consider a 10-question test in which each question can be answered either correctly or incorrectly.(a) How many different ways are there to answer the questions so that eight are correct and two are
A catering service is making up trays of hors d’oeuvres. The hors d’oeuvres are categorized as inexpensive, average, and expensive. If the client must select three of the eight inexpensive, five
Nabisco is testing 5 chocolate chip cookies, 4 crackers, and 6 reduced-fat cookies. If it plans to market 2 of the chocolate chip cookies, 3 of the crackers, and 2 of the reduced-fat cookies, how
As part of a door prize, Mary won three tickets to a baseball game and three tickets to a theater performance. She decided to give all the tickets to friends. For the baseball game she is considering
Hamid recently graduated from college and now has a job that provides a retirement investment plan. Hamid wants to diversify his investments, so he wants to invest in four stock mutual funds and two
A teacher is constructing a mathematics test consisting of 10 questions. She has a pool of 28 questions, which are classified by level of difficulty as follows: 6 difficult questions, 10 average
Josef is sent to the store to get 5 different bottles of regular soda and 3 different bottles of diet soda. If there are 10 different types of regular sodas and 7 different types of diet sodas to
The Philadelphia City Council is forming a committee to explore ways to improve public transportation in the city. The committee will consist of 4 representatives from the city council and 3
Sue is having a dinner party. She has 10 different bottles of red wine and 8 different bottles of white wine on her wine rack. She wants to select 4 bottles of red wine and 2 bottles of white wine to
An animal shelter has 15 cats and 12 dogs available for adoption. The shelter wants to select 6 cats and 4 dogs to feature in the adoption newsletter. In how many ways can this be done?
A Babies“R”Us store has 9 different strollers and 8 different car seats in stock. The store’s manager wishes to place 3 strollers and 2 car seats on sale. In how many ways can this be done?
On an English test, Tito must write an essay for three of the five questions in Part 1 and four of the six questions in Part 2 in any order. How many different combinations of questions can he answer?
Sears has 10 different microwaves and six different dishwashers in stock. The manager wants to place three of the 10 microwaves and two of the six dishwashers on sale. In how many ways can the
A quinella bet consists of selecting the first- and second-place winners, in any order, in a particular event. For example, suppose you select a 2–5 quinella. If 2 wins and 5 finishes second, or if
Matthew has 12 shirts in his closet and must select 4 to take with him on vacation. In how many ways can Matthew select the shirts?
Jaime has 7 CDs and wants to select 4 to take with him to work. In how many ways can he select 4 of 7 CDs?
A Florida lottery requires players to select 6 different numbers, in any order, from 1 to 53 inclusive. How many different sets of 6 numbers can be chosen?
If 5 cards are dealt from a standard deck of cards, how many different ways can 4 aces and 1 other card that is not an ace be dealt?
A group of 7 people wants to use taxis to go to a local restaurant. When the first taxi arrives, the group decides that 4 people should get into the taxi. In how many ways can that be done?
If 5 cards are dealt from a standard deck of cards, how many different ways can 3 kings and 2 queens be dealt?
A scholarship committee has received 8 applications for a $500 scholarship. The committee has decided to select 3 of the 8 candidates for further consideration. In how many ways can the committee do
During a special promotion at Dell, a customer purchasing a computer and a printer is given the choice of 2 free software packages. If there are 9 different software packages from which to select,
Tina must select and answer in any order four of six essay questions on a test. In how many ways can she do so?
An ice-cream parlor has 20 different flavors. Cynthia orders a banana split and has to select 3 different flavors. How many different selections are possible?
There are 10 qualified applicants for 3 security positions at a hospital. In how many ways can the positions be filled?
Evaluate the expression.6C4/10C4
Evaluate the expression.4C3/10C3
Evaluate the expression.4C2/8C2
Evaluate the expression.8C5/14C5
Evaluate the expression.5C3/9C3
Evaluate the expression.3C2/13C2
Evaluate the expression.(a) 5C5(b) 5P5
Evaluate the expression.(a) 10C3(b) 10P3
Evaluate the expression.(a) 12C8(b) 12P8
Evaluate the expression.(a) 8C0(b) 8P0
Evaluate the expression.(a) 7C2(b) 7P2
Evaluate the expression.(a) 6C4(b) 6P4
Evaluate the expression.8C2
Evaluate the expression.5C3
Fill in the blank with an appropriate word, phrase, or symbol(s).The notation used to express the number of combinations of 5 items selected from 9 distinct items is __________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).The notation used to express the number of combinations of 6 items selected from 10 distinct items is ____________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).If we want to select r items from n items, and the order of the arrangement is not important, then ____________ are used.
Fill in the blank with an appropriate word, phrase, or symbol(s).If we want to select r items from n items, and the order of the arrangement is important, then ____________ are used.
Fill in the blank with an appropriate word, phrase, or symbol(s).The symbol for the number of combinations when r items are selected from n distinct items is __________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).A distinct group of objects without regard to their arrangement is called a(n) _____________ .
Consider a six-sided die that has 1 dot on one side, 2 dots on two sides, and 3 dots on three sides. If the die is rolled only once, determine the probability of rollingAn odd number or a number
Consider a six-sided die that has 1 dot on one side, 2 dots on two sides, and 3 dots on three sides. If the die is rolled only once, determine the probability of rollingAn even number or a
Consider a six-sided die that has 1 dot on one side, 2 dots on two sides, and 3 dots on three sides. If the die is rolled twice, determine the probability of rollingTwo 3's.
Consider a six-sided die that has 1 dot on one side, 2 dots on two sides, and 3 dots on three sides. If the die is rolled twice, determine the probability of rollingTwo 2's.
You have three cards: an ace, a king, and a queen. A friend shuffles the cards, selects two of them at random, and discards the third. You ask your friend to show you a picture card, and she turns
Two playing cards are dealt to you from a well-shuffled standard deck of 52 cards. If either card is a diamond or if both are diamonds, you win; otherwise, you lose. Determine whether this game

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