Prime Interest Rate 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 interest rate. The prime interest rate is the rate charged to preferred customers of the bank. During the first month the prime interest rate was 4.75%, during the second month it was 5%, and during the third month it was 5.25%. (a) Find the amount Nick paid the bank at the end of the first month, at the end of the second month, and at the end of the third month. (b) What was the total amount of interest Nick paid the bank?
> Rajiv and Laurie Amin are recent college graduates looking to purchase a new home. They are purchasing a $200,000 home by paying $20,000 down and borrowing the other $180,000 with a 30-year loan secured by the home. The Amins have the option of (1) payin
> Using the facts in problem 51, what is the minimum tax that Pedro should pay to make the tax structure vertically equitable with respect to the amount of tax paid? This would result in what type of tax rate structure? Facts in Problem 51:
> Using the facts in problem 51, what is the minimum tax that Pedro should pay to make the tax structure vertically equitable based on the tax rate paid? This would result in what type of tax rate structure? Facts in Problem 51:
> Waco Leather Inc., a U.S. corporation, reported total taxable income of $5 million. Taxable income included $1.5 million of foreign source taxable income from the company’s branch operations in Mexico. All of the branch income is foreign branch income. W
> Selected accounts from GermX Co.’s adjusted trial balance for the year ended December 31 follow. Pre- pare the assets section of a classified balance sheet. Hint: Fair Value Adjustment—Trading increases trading securities; Fair Value Adjustment—Stock dec
> F varies jointly as q1 and q2 and inversely as the square of d. If F = 80 when q1 = 4, q2 = 16, and d = 0.4, determine F when q1 = 12, q2 = 20, and d = 0.2. (a)Write the variation equation an (b) determine the quantity indicated.
> One square meter equals 10,000 cm2. Use this information to convert the following. 0.75 m2 to square centimeters
> Graph the system of linear inequalities and indicate the solution set. 3x - 2y ( 6 x - y ≤ 3
> Graph the solution set of the inequality, where x is an integer, on the number line.
> 4x + 2y = 2 3x - 2y = 12 Solve the system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.
> S varies jointly as I and the square of T. If S = 4 when I = 10 and T = 4, determine S when I = 4 and T = 6. (a)Write the variation equation an (b) determine the quantity indicated.
> One square yard equals 9 ft 2. Use this information to convert the following. 48.1 yd2 to square feet
> x + y < 4 3x + 2y ( 6 Graph the system of linear inequalities and indicate the solution set.
> Graph the solution set of the inequality, where x is an integer, on the number line.
> Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. 2x + y = 12
> Fill in the blank with an appropriate word, phrase, or symbol(s). 2. A special type of relation where each value of the independent variable corresponds to a unique value of the dependent variable is called a(n)________ . 4. The set of values obtained fo
> (a)Write the variation equation an (b) determine the quantity indicated. A varies directly as the square of B. If A = 245 when B = 7, determine A when B = 12.
> One square yard equals 9 ft 2. Use this information to convert the following. 396 ft2 to square yards
> 4x + 2y > 8 y ≤ x + 1 Graph the system of linear inequalities and indicate the solution set.
> Graph the solution set of the inequality, where x is an integer, on the number line. x + 9 ( 5
> x - y = -1 y = 2x + 4 Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.
> (a)Write the variation equation an (b) determine the quantity indicated. C varies inversely as J. If C = 7 when J = 0.7, determine C when J = 14.
> Determine the shaded area. When appropriate, use the / key on your calculator and round your answer to the nearest hundredth. Answer: 32. Radius of circles: 6 = 3 mm Area of 4 circles: p (3)2 = 9p = 28.27433388 mm2 Area of rectangle: 24(6) = 144 mm2
> 3x - y ≤ 6 y < x – 4 Graph the system of linear inequalities and indicate the solution set.
> Graph the solution set of the inequality, where x is an integer, on the number line. 5x ( 45
> x = 5y - 12 x - y = 0 Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.
> Fill in the blank with an appropriate word, phrase, or symbol(s). 2. An expression that contains two terms in which each exponent that appears on a variable is a whole number is called a(n)________ . 4. The property that indicates that if the product of
> (a)Write the variation equation an (b) determine the quantity indicated. A varies jointly as R1 and R2 and inversely as the square of L. Determine A when R1 = 120, R2 = 8, L = 5, and k = /
> Determine the shaded area. When appropriate, use the key on your calculator and round your answer to the nearest hundredth.
> y ≤ 3x – 4 Draw the graph of the inequality.
> Graph the solution set of the inequality, where x is an integer, on the number line. -2 ( x
> Fill in the missing values. (28). 42.9 hg = _________ g (30). 8 dam = _________ m (32). 9.32 m ℓ = _________ℓ
> x + y = 3 y + x = 5 Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.
> (a)Write the variation equation an (b) determine the quantity indicated. M varies directly as J and inversely as C. Determine M when J = 12, C = 16, and k = 4.
> Determine the shaded area. When appropriate, use the key on your calculator and round your answer to the nearest hundredth.
> y ( -2x + 1 Draw the graph of the inequality.
> Graph the solution set of the inequality, where x is a real number, on the number line.
> Fill in the blanks with an appropriate word, phrase, or symbol(s). 2. 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 payment__________. 4. The final step of purchasing a
> 4x - y = 2 2x - y = 6 Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.
> (a)Write the variation equation an (b) determine the quantity indicated. R varies directly as the square of s. Determine r when s = 2 and k = 13.
> Determine the shaded area. When appropriate, use the key on your calculator and round your answer to the nearest hundredth.
> Draw the graph of the inequality. x + 2y ≤ 0
> Graph the solution set of the inequality, where x is a real number, on the number line. -4 ( x ( 1
> y = 2x - 1 y = 3x - 4 Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.
> 2. When one quantity increases while the other quantity decreases, it is an example of________ variation. 4. In the equation y = ox, k is called the constant of___________.
> Fill in the blanks with an appropriate word, phrase, or symbol(s). 2. In a right triangle, the side that is opposite the right angleis called the _________. 4. (a) A line segment from the center of a circle to any point on the circle is called the ______
> Fill in the blank with an appropriate word, phrase, or symbol(s). (a) a ( b means that a is________ than b. (b) a ( b means that a is_________ than b. 4. When solving an inequality, if you obtain a statement that is always false, such as 3 ( 5, the answe
> x varies inversely as y. Determine x when y = 15 and k = 45. (a)Write the variation equation an (b) determine the quantity indicated.
> 2. The amount of money that is present in an ordinary annuity after t years is known as the accumulated amount or the _____value of the annuity. 4. A variable annuity is an annuity that is invested in stocks, bonds, mutual funds, or other investments th
> U.S. Treasury Bills On December 3, 2014, Trinity purchased a 364-day, $6000 U.S. Treasury bill at a 0.12% discount. (See Exercise 55.) (a) What is the date of maturity of the Treasury bill? (b) How much did Trinity actually pay for the Treasury bill? (c)
> Flag Company Loan 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 partial payments of $6000 on May 28 and
> 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. Assume the year is not a leap year. Where appropriate, r
> 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. Assume the year is not a leap year. Where appropriate, r
> Change the number given as a percent to a decimal number. 0.75%
> Change the number to a percent. Express your answer to the nearest tenth of a percent. 39%
> 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. 0.5688
> Determine the shaded area. When appropriate, use the key on your calculator and round your answer to the nearest hundredth.
> Change the number to a percent. Express your answer to the nearest tenth of a percent.
> Change the number to a percent. Express your answer to the nearest tenth of a percent.
> Selling Ties 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 100 ties for $9.00 each, and at the second
> Furniture Sale 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.
> Restaurant Markup 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 tenth of percent.
> Weight Loss 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 appropriate, round your answer to
> Where appropriate, round your answer to the nearest tenth of percent. Vacuum Cleaner Markup If the Kirby dealership in Exercise 61 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. Salary Increase 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 percent. Employee Increase 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. Tax and Tip The Brants’ dinner (see Exercise 55) 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
> -x + 2y < 2 Draw the graph of the inequality.
> 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. Ten percent of what number is 75?
> Use the ordinary annuity formula to 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
> Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question. Sixty-five is what percent of 104?
> $1000 invested semiannually for 20 years at a 5% interest rate compounded semiannually Use the ordinary annuity formula to determine the accumulated amount in each annuity. Round all answers to the nearest cent.
> Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question. What percent of 75 is 15?
> Repaying a Debt The city of St. Louis wishes to repay a debt of $25,000,000 in 50 years. How much should the city invest semiannually in a sinking fund paying a 7.5% interest rate compounded semiannually to accumulate $25,000,000 in 50 years? Round all a
> 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.
> Campaign Fund-Raising 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 compounded monthly to accumulate $500,000
> What is 6.5% of $150.00? Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.
> Plot all the points on the same axes. (0, -1)
> Fill in the blanks with an appropriate word,phrase, or symbol(s). 2. In a fixed investment the interest is computed at a fixed rate and the amount invested as principal may be______ . 4. Interest that is computed on the principal and any accumulated inte
> Grandchild’s College Expenses To save for their grandchildren’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
> Presidential Salary 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) Determine the percent increase in annua
> Starting a Business 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 annuityafter 20 years. Round all answers to the n
> U.S. Population Unlike the population of Russia (see Exercise 39), the population of the United States has been increasing since 1990. In 1990, the population of the United States was about 249 million people. In 2014, the population of the United States
> Use the sinking fund formula to 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 with a 10% interest rate compounded quarterly for 40 ye
> 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 responses are represented in the circle graph below. Round yo
> Use the sinking fund formula to 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 7.8% interest rate compounded weekly for 25 years to
> 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 responses are represented in the circle graph below. Round yo
> 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 (See Examples 2 and 3).
> 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 places. Mr. Kimball collects a 6000-mâ„“
> Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. y =1/2 x + 4 2y = x + 8
> 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 (See Examples 2 and 3).
> 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 places. If a saltwater aquarium contains 55 gallons of se
> Comparing Payment Frequency Janet is purchasing a new house for $315,000. Her credit union requires her to make a 20% down payment, and the current mortgage rate is 6%. Janet is exploring different 10-year mortgage payment options. Use the principal and
> 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 whole number. Determine the number of foreign DVDs.
> An Adjustable Rate Mortgage The Pourans purchased a new home for $378,000 with a down payment of $127,000. They obtained a 10-year adjustable rate mortgage with the following terms. The interest rate is based on the one-year Treasury bill rate, which is
> 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 whole number. Determine the number of romance DVDs.
> Comparing Loans 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 7.5%, a 15-year mortgage, and 1 point to be
> Where appropriate, round answers to the nearest tenth of a percent unless specified otherwise . Reduced-Fat Triscuits One serving of Original Triscuit crackers contains 4 grams of fat. Reduced-Fat Triscuit crackers contain 37.5% less fat per serving than
