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Questions and Answers of Mathematics Economics Business

In Problem find the x and y coordinates of the intersection of the given lines.3x + 4y = 72 and the x axis
Solve using augmented matrix methods: 2x1 + 6x2 x1 + 3x2 || || -3 2
Solve by substitution:5x + y = 42x – 3y = 5
Solve using augmented matrix methods:2x1 – x2 = 34x1 – 2x2 = –1
In Problem find the x and y coordinates of the intersection of the given lines.3x + 4y = 72 and the y axis
Solve the following system using elimination by addition:3x – 2y = 82x + 5y = –1
In Problem find the x and y coordinates of the intersection of the given lines.6x - 5y = 120 and x = 5
Jasmine wants to use milk and orange juice to increase the amount of calcium and vitamin A in her daily diet. An ounce of milk contains 37 milligrams of calcium and 57 micrograms* of vitamin A. An
In Problem find the x and y coordinates of the intersection of the given lines.6x - 5y = 120 and y = 3
A supplier for the electronics industry manufactures keyboards and screens for graphing calculators at plants in Mexico and Taiwan. The hourly production rates at each plant are given in the table.
At a price of $1.88 per pound, the supply for cherries in a large city is 16,000 pounds, and the demand is 10,600 pounds. When the price drops to $1.46 per pound, the supply decreases to 10,000
If you sell your car to someone for $2,400 and agree to finance it at 1% per month on the unpaid balance, how much should you receive each month to amortize the loan in 24 months? How much interest
A baseball team had a 103–58 win–loss record. Find its winning percentage to the nearest percentage point.
In Problem find the sum of the finite geometric series a + ar + ar2 + · · · + arn – 1. Write the answer as a quotient of integers. 30 + 3 + 3 10 3 100 3 1,000,000
Assume that you buy a TV for $800 and agree to pay for it in 18 equal monthly payments at 1 1/2% interest per month on the unpaid balance.(A) How much are your payments? (B) How much interest will
Refer to Example 3. Mary starts a Roth IRA earning the same rate of interest at the time Jane stops making payments into her IRA. How much must Mary deposit each year for the next 25 years in order
Repeat Example 4 assuming that 90 days after it was initially signed, the note was sold to a third party for $3,500.Data from Example 4Suppose that after buying a new car you decide to sell your old
Figure 3 shows that a $10,000 investment in a growthoriented mutual fund over a 10-year period would have grown to $126,000. What annual nominal rate would produce the same growth if interest was:(A)
In Problem find the sum of the finite geometric series a + ar + ar2 + g+ arn – 1.a = 25, r = –1, n = 81
The Russell Index tracks the average performance of various groups of stocks. Figure 3 shows that, on average, a $10,000 investment in midcap growth funds over a 10-year period would have grown to
Suppose that after buying a new car you decide to sell your old car to a friend. You accept a 270-day note for $3,500 at 10% simple interest as payment. (Both principal and interest are paid at the
In Problem solve the equation for the unknown quantity.100x4 = 15,006.25
A person makes monthly deposits of $100 into an ordinary annuity. After 30 years, the annuity is worth $160,000. What annual rate compounded monthly has this annuity earned during this 30-year
Construct the amortization schedule for a $1,000 debt that is to be amortized in six equal monthly payments at 1.25% interest per month on the unpaid balance.
In Problem find the sum of the finite geometric series a + ar + ar2 + · · · + arn – 1. Write the answer as a quotient of integers. 10,000+ 1,000+ 100+ 10 + + 1 10,000
A basketball team played 21 games with a winning percentage of 81%. How many games did it lose?
If you borrow $500 that you agree to repay in six equal monthly payments at 1% interest per month on the unpaid balance, how much of each monthly payment is used for interest and how much is used to
A person makes monthly deposits of $100 into an ordinary annuity. After 30 years, the annuity is worth $160,000. What annual rate compounded monthly has this annuity earned during this 30-year
Repeat Example 5 if 500 shares of stock were purchased for $17.64 per share and sold 270 days later for $22.36 per share.Data from Example 5An investor purchases 50 shares of a stock at $47.52 per
In Problem find the sum of the finite geometric series a + ar + ar2 + g+ arn – 1.a = 10, r = 3, n = 15
How long will it take $10,000 to grow to $12,000 if it is invested at 9% compounded monthly?
How long will it take $10,000 to grow to $25,000 if it is invested at 8% compounded quarterly?
In Problem solve the equation for the unknown quantity.6.75 = 3(1 + i)2
An investor purchases 50 shares of a stock at $47.52 per share. After 200 days, the investor sells the stock for $52.19 per share. Using Table 1, find the annual rate of interest earned by this
A couple purchased a home 20 years ago for $65,000. The home was financed by paying 20% down and signing a 30-year mortgage at 8% on the unpaid balance. The net market value of the house is now
In Problem find the sum of the finite geometric series a + ar + ar2 + · · · + arn – 1. Write the answer as a quotient of integers. + + -100 -14 + -
In Problem give the slope and y intercept of each line.y = 12,000 + 120x
A family purchased a home 10 years ago for $80,000. The home was financed by paying 20% down and signing a 30-year mortgage at 9% on the unpaid balance. The net market value of the house is now
A credit card has an annual interest rate of 16.99%, and interest is calculated by the average daily balance method. In a 30-day billing cycle, purchases of $345.86 and $246.71 were made on days 9
In Problem find the sum of the finite geometric series a + ar + ar2 + g+ arn – 1.a = 4, r = 10, n = 6
Find the APYs (expressed as a percentage, correct to three decimal places) for each of the banks in Table 1 and compare these CDs. Table 1 Certificates of Deposit
Southern Pacific Bank offered a 1-year CD that paid 4.8% compounded daily and Washington Savings Bank offered one that paid 4.85% compounded quarterly. Find the APY (expressed as a percentage,
In Problem solve the equation for the unknown quantity.13.72 = 5(1 + i)3
A credit card has an annual interest rate of 21.99%, and interest is calculated by the average daily balance method. In a 30-day billing cycle, purchases of $56.75, $184.36, and $49.19 were made on
Which option should you choose if your credit union raises its loan rate to 7.5% compounded monthly and all other data remain the same?
In Problem find the sum of the finite geometric series a + ar + ar2 + · · · + arn – 1. Write the answer as a quotient of integers. 1 1 10 1 100 1 1,000 + 1 10,000 1 100,000
In Problem give the slope and y intercept of each line.y = 15,000 + 300x
You have negotiated a price of $25,200 for a new Bison pickup truck. Now you must choose between 0% financing for 48 months or a $3,000 rebate. If you choose the rebate, you can obtain a credit union
A savings and loan wants to offer a CD with a monthly compounding rate that has an APY of 7.5%. What annual nominal rate compounded monthly should it use? Check with a graphing calculator.
In Problem solve the equation for the unknown quantity.14,641 = 10,000(1.1)n
What is the annual nominal rate compounded quarterly for a bond that has an APY of 5.8%?
The annual interest rate on a credit card is 24.99%. How long will it take to pay off an unpaid balance of $1,485.73 if no new purchases are made and a $50.00 payment is made each month?
In Problem give the slope and y intercept of each line.y = 2,000(1 + 0.025x)
The annual interest rate on a credit card is 18.99%. How long will it take to pay off an unpaid balance of $847.29 if no new purchases are made and the minimum payment of $20.00 is made each month?
In Problem 5-8, give the slope and y intercept of each line.y = 5,000(1 + 0.035x)
In Problems 9–12, use compound interest formula (1) to find each of the indicated values.A = $8,000; i = 0.02; n = 32; P = ?
In Problems 9–12, use compound interest formula (1) to find each of the indicated values.A = $15,000; i = 0.01; n = 28; P = ?
In Problem use the continuous compound interest formula (3) to find each of the indicated values.A = $6,300; r = 9.45%; t = 8 years; P = ?
In Problem convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.0084
In Problem use formula (5) or (6) to solve each problem.n = 30; i = 0.04; PMT = $200; PV = ?Formula 5Formula 6 ,1- (1 + i)¹ i PV = PMT- (5)
In Problem use formula (5) or (6) to solve each problem.PV = $40,000; n = 96; i = 0.0075; PMT = ?Formula 5Formula 6 ,1- (1 + i)¹ i PV = PMT- (5)
In Problem use formula (5) or (6) to solve each problem.PV = $14,000; n = 72; i = 0.005; PMT = ?Formula 5Formula 6 ,1- (1 + i)¹ i PV = PMT- (5)
In Problems 13–20, use the continuous compound interest formula (3) to find each of the indicated values.A = $19,000; r = 7.69%; t = 5 years; P = ?
In Problem use formula (5) or (6) to solve each problem.PV = $5,000; i = 0.01; PMT = $200; n = ?Formula 5Formula 6 ,1- (1 + i)¹ i PV = PMT- (5)
In Problem use formula (5) or (6) to solve each problem.PV = $9,000; PMT = $600; n = 20; i = ? (Round answer to three decimal places.)Formula 5Formula 6 ,1- (1 + i)¹ i PV = PMT- (5)
In Problems use formula (1) for simple interest to find each of the indicated quantities.P = $300; r = 7%; t = 2 years; I = ?Formula 1 I= Prt
In Problems use formula (1) for simple interest to find each of the indicated quantities.I = $36; r = 4%; t = 6 months; P = ?Formula 1 I = Prt
In Problems use formula (1) for simple interest to find each of the indicated quantities.I = $15; r = 8%; t = 3 quarters; P = ?Formula 1 I = Prt
In Problem use formula (1) for simple interest to find each of the indicated quantities.I = $60; P = $2,400; r = 5%; t = ?Formula 1 I = Prt
In Problems use formula (2) for the amount to find each of the indicated quantities.A = $910; r = 16%; t = 13 weeks; P = ?Formula 2 A = P + Prt = P(1 + rt)
In Problems use formula (2) for the amount to find each of the indicated quantities.A = $6,608; r = 24%; t = 3 quarters; P = ?Formula 2 A = P + Prt = P(1 + rt)
In Problems use formula (2) for the amount to find each of the indicated quantities.A = $14,560; P = $13,000; t = 4 months; r = ?Formula 2 A = P + Prt = P(1 + rt)
In Problems use formula (2) for the amount to find each of the indicated quantities.A = $736; P = $640; r = 15%; t = ?Formula 2 A = P + Prt = P(1 + rt)
What is the annual nominal rate compounded monthly for a CD that has an annual percentage yield of 2.50%?
If an investment earns 9% compounded continuously, how much should you deposit now to have $25,000(A) 36 months from now? (B) 9 years from now?
In all problem involving days, a 360-day year is assumed. When annual rates are requested as an answer, express the rate as a percentage, correct to three decimal places, unless directed otherwise.
What is the annual percentage yield (APY) for money invested at an annual rate of(A) 3.9% compounded monthly?(B) 2.3% compounded quarterly?
What is the annual percentage yield (APY) for money invested at an annual rate of(A) 5.15% compounded continuously?(B) 5.20% compounded semiannually?
In all problem involving days, a 360-day year is assumed. When annual rates are requested as an answer, express the rate as a percentage, correct to three decimal places, unless directed otherwise.
If you pay $5,695 for a $10,000 face value zero coupon bond that matures in 10 years, what is your annual compound rate of return?
In all problem involving days, a 360-day year is assumed. When annual rates are requested as an answer, express the rate as a percentage, correct to three decimal places, unless directed otherwise.
In Problem assume that the minimum payment on a credit card is the greater of $27 or 3% of the unpaid balance.Find the minimum payment on an unpaid balance of $815.69.
Many tax preparation firms offer their clients a refund anticipation loan (RAL). For a fee, the firm will give a client his refund when the return is filed. The loan is repaid when the IRS refund is
In Problem assume that the minimum payment on a credit card is the greater of $27 or 3% of the unpaid balance.Find the minimum payment on an unpaid balance of $927.38.
The buying and selling commission schedule shown in the table is from an online discount brokerage firm. Taking into consideration the buying and selling commissions in this schedule, find the annual
What is the annual nominal rate compounded monthly for a bond that has an annual percentage yield of 2.95%?
The buying and selling commission schedule shown in the table is from an online discount brokerage firm. Taking into consideration the buying and selling commissions in this schedule, find the annual
Solve the ticket problem by graphing:2x + y = 32x + 3y = 36
Solve using augmented matrix methods: 3x₁ + 4x₂ = 1 2x₂ = 7 (4)
Can a consistent and dependent system have exactly two solutions? Exactly three solutions? Explain.
Solve using augmented matrix methods:2x1 – x2 = –7x1 + 2x2 = 4
In Problem find the x and y coordinates of the intersection of the given lines.y = 5x + 7 and the y axis
Solve each of the following systems by graphing: (A) x 2y = 2 x + y = 5 (B) x + 2y = -4 2x + 4y = 8 (C) 2x + 4y = 8 x + 2y = = 4
Using the model of Example 4, estimate the concentration of carbon dioxide in the atmosphere in the year 1990.Data from Example 4Table 3 contains information about the concentration of carbon dioxide
If you deposit a principal P in an account that earns simple interest at an annual rate r, then the amount A in the account after t years is given by A = P + Prt. Solve for(A) r in terms of A, P, and
Dr. J. D. Robinson published the following estimate of the ideal body weight of a woman: 49 kg + 1.7 kg for each inch over 5 ft(A) Find a linear model for Robinson’s estimate of the ideal weight of
Solve and check: 3x - 2(2x – 5) = 2(x + 3) – 8
Appropriate doses of medicine for both animals and humans are often based on body surface area (BSA). Since weight is much easier to determine than BSA, veterinarians use the weight of an animal to
Solve and check:8x – 3(x – 4) = 3(x – 4) + 6
Graph: 3x – 4y = 12

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