# Project #27186 - Mathematics with applications

24.   Convert the number to the numeral in the base indicated.

14 to base 2

26.   Convert the number to the numeral in the base indicated.

73 to base 3

68:  Computer Code.  The ASCII code used by most computers uses the last seven positions of an eight-bit byte to represent all the characters on a standard keyboard.  how many different orderings of 0's and 1's (or how many different characters) can be made by using the last seven positions of an eight-bit byte?

Section 8.1 Problems 44, 52, 62

44.   Convert the given measurement to the unit indicated.

0.034 ml to liters

52.   Arrange the quantities in order from smallest to largest.

514 hm, 62 km, 680 m

62.   Calcium Tablets.  Sean takes two 250-mg chewable calcium tablets each day.

a)     How many milligrams of calcium will Sean take in a week (7 days)?

b)     How many grams of calcium will Sean take in a week (7 days)?

Section 8.2 Problems 74, 88, 94

74.   Choose the best answer to indicate the volume of the following.

Air in a balloon with a diameter of about 17 meters.

a)     2600 m3      b)     2600 cm3    c)     2600 km3

88.   Farmland.  Kim Martello has purchased a farm that is in the shape of a rectangle.  The dimensions of the piece of land are 1.4 km by 3.75 km.

a)     How many square kilometers of land did she purchase?

b)     If 1 km2 equals 100 ha, determine the amount of land she purchased in hectares.

94.Hot-Water Heater.  A cylindrical shaped hot-water heater has a diameter of 0.56 m and a height of 1.17 m.  If the hot-water heater is filled, determine the volume of the water in the hot-water heater in

a)     cubic meters

b)     liters

Section 8.4 Problems 12, 32, 42, 56

12.Convert the quantity to the indicated units.  When appropriate, give your answer to the nearest hundredth.

9 lb to kilograms

32.How far?  Carol Ann Harle's new car traveled 105 mi on 5 gal of gasoline.  How many kilometers can Carol Ann's car travel with the same amount of gasoline?

42.  Weight Restriction.  The weight restriction on a road in Italy is 7.5 t.

a)     How many tons does this weight equal?

b)     How many pounds?

56.Stomach Ache Remedy.  The  label on the bottle of Maximum Strength Pepto-Bismol indicates that each tablespoon contains 236 mg of the active ingredient bismuth subsalicylate.

a)Determine the amount of active ingredient in the recommended dosage of 2 tablespoons.

b)If the bottle contains 8 fl oz, determine the quantity of the active ingredient in the bottle.

Section 11.1 Problems 26, 28, 42, 56

26.  Potassium.  The U.S. Department of Agriculture's recommended daily allowance (USDRA) of potassium for adults is 3500 mg.  One serving of Cheerios provides 95 mg of potassium.  What percent of the US RDA of potassium does one serving of Cheerios provide?

28.  River Pollution.  In a study of US rivers, 693,905 miles of river were studied.  According to the U.S. Environmental Protection Agency, it was found that 36% of the total miles of river studied had impaired water quality.  How many mile of rivers had impaired water quality?

42.       United States Population.  The population of the United states has been increasing since 1990.  In 1990, the population of the United States was about 249 million.  In 2010, the population was about 308 million.  Determine the percent increase of the U.S. population during this time period.

56.  Employee Increase.  The Fastlock Company hired 57 new employees, which increased its staff by 30%.  What was the original number of employees.

Section 11.2Problems 26, 30, 54

26.  Business Loan.  The city of Bradenton is offering simple interest loans to start-up businesses at a rate of 3.5%.  Gaetano Cannata obtains one of these loans for \$6000 for 3 years to help pay for start-up costs of his restaurant, Ortygia.  Determine the amount of money Gaetano must repay the city after 3 years.

30.  Credit Union Loan.  Enrico Montoyo wants to borrow \$350 for 6 months from his credit union, using his savings account as security.  The credit union's policy is that the maximum amount a person can borrow is 80% of the amount in the person's savings account.  The interest rate is 2 percentage point higher than the interest rate being paid on the savings account.  The current rate on the savings account is 3.25%.

a)     How much money must Enrico have in his account to borrow \$350?

b)     What is the rate of interest the credit union will charge for the loan?

c)     Find the amount Enrico must repay in 6 months.

54.  Restaurant Loan.  The Sweet Tooth Restaurant borrowed \$3000 on a note dated May 15 with simple interest of 11%.  The maturity date of the loan is September 1.  The restaurant made partial payments of \$875 on June 15 and \$940 on August 1.  Find the amount due on the maturity date of the loan.

Section 11.3 Problems 26, 32, 36

26.  Investing a Prize.  David Buckley won a writing contest and invested the \$10,000 cash prize in a 3-year CD paying 1.29% compounded daily (use n=360).  What was the value of the CD after 3 years?

32.  Determining Effective Annual Yield.  Determine the effective annual yield for \$1 invested for 1 year at 4.75% compounded monthly.

36.  Comparing Loan Sources.  Tom Angelo needs to borrow \$1500 to expand his farm implement maintenance business.  He learns that the local bank will lend him the money for two years at a rate of 10% compounded quarterly.  After hearing this rate, Tom's grandfather offers to lend him the money for 2 years with a simple interest rate of 7%.  How much money will Tom save by borrowing the money from his grandfather?

Section 11.5 Problems 12, 20

12.  Buying a House.  Sadaf Din is purchasing a house selling for \$215,000.  To obtain her mortgage, Sadaf must make a 20% down payment.  The current mortgage rate is 4.5%.

a)  Determine the amount of the required down payment.

b)  Determine the monthly principal and interest payment for a 25-year mortgage with a 20% down payment.

20.    A 25-Year Convention Mortgage.  Mr. & Mrs. Alan Bell obtain a 25-year, \$110,000 conventional mortgage at 10.5% on a house selling for \$160,000.  Their monthly mortgage payment, including principal and interest, is \$1038.60.  They also pay 2 points at closing.

a)        Determine the total amount the Bells will pay for their house.

b)        How much of the cost will be interest(including the two points)?

c)        How much of the first payment on the mortgage is applied to the principal?

 Subject Mathematics Due By (Pacific Time) 04/16/2014 12:00 am
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