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m67150Andy is single father who wants to purchase a home. His adjusted gross income for the year is a dollars. His monthly mortgage is m dollars, and his annual property tax bill is p dollars. His monthly credit card bill is c dollars, and he has a monthly car loan fro d dollars. His quarterly homeowner s bill is h dollars. Express Andy s back end ratio algebraically? buy
m67152Angelo s kayak travels 14 km/h in still water. If the river s current flows at a rate of 2 km/h, how long will it take him to travel 20 km downstream? buy
m67153Ann obtained this list of apartments. a. Use linear regression analysis to determine if there is a correlation between the square footage and the monthly rent. b. Determine the regression equation. Round then umbers in the equation to the nearest hundredth. c. Use your regression equation to determine the price you might expect to pay for an 810-square foot apartment. buy
m67154Anna has a checking account at Garden City Bank. Her balance at the beginning of February was $5,195.65. During the month, she made deposits totaling $6,873.22, wrote checks totaling c dollars, was charged a maintenance fee of $15, and earned $6.05 in interest. Her balance at the end of the month was $4,200.00. What is the value of c? buy
m67155Anna turned 62 in 2007, and she is computing Social Security benefits. Using the formula from Example 3 in Lesson 9-2, compute her Social Security full retirement benefit if her average monthly salary over her 35 highest-paying years was $3,766. buy
m67159Answer the following questions. (a) Is the change in the inputs, x, the same? (b) Is the change in the outputs, y, the same? (c) Is the function linear? (1) x y -3 ................................ 8 -2 .............................. 11 -1 .............................. 14 0 ................................ 17 2 ................................ 20 3 ................................ 26 (2) x y 20 .......... 11.8 30 .......... 24.2 40 .......... 36.6 50 .......... 49.0 60 .......... 61.4 70 .......... 73.8 80 .......... 86.2 buy
m67161Answer the following questions for each table. (a) Is the change in the inputs x the same? (b) Is the change in the outputs y the same? (c) Is the function linear? 1. x .......................................... y 11 ........................................ 3.2 26 ........................................ 5.7 41 ........................................ 8.2 56 ........................................ 9.3 71 ....................................... 11.3 86 ....................................... 13.7 101 ..................................... 19.1 2. x ............................................ y 20 ........................................ 12.4 30 ........................................ 24.8 40 ........................................ 49.6 50 ........................................ 99.2 60 ....................................... 198.4 70 ........................................ 396.8 80......................................... 793.6 3. x ............................................. y 11............................................-8 26 ........................................ -12 41 ......................................... -16 56 ......................................... -20 71 ........................................ -24 86 ......................................... -28 101.........................................-32 buy
m67163Anton picks corn at a local farm. He is paid 80 cents per bushel for the first 50 bushels, 90 cents per bushel for the next 50 bushels, and $0.95 per bushel for all bushels picked over 100. Express algebraically the amount Anton earns if he picks x bushels, where x > 100? buy
m67164Anton works at First National Bank. His employer offers him a pension retirement plan which will be 1.45% of his average salary for the last five years of employment for every year worked. Anton is planning on retiring at the end of this year after 22 years of employment. His salaries for the last five years are $92,000; $92,800; $99,000; $100,500; and $105,000. Calculate Anton s pension? buy
m67165Appel s Music Store pays its sales staff a commission of 9.5% of the first $1,000 in sales and 15.5% of the balance of sales. Alex, the store s drum expert, received $1,234.25 in commission last week. What were his total sales for the week? buy
m67166Application Fee: 1.5% of one month s rent Credit Application Fee: $10 Security Deposit: 1 month s rent Last month s rent Broker s Fee: 9% of one year s rent Dave wants to rent a two-bedroom apartment in City Fields. The apartment has a monthly rent of D dollars. Here are the fees that he has been quoted. Write an algebraic expression that represents the amount he is expected to pay before renting the apartment? buy
m67169Apply what you have learned in this lesson to give an interpretation of the quote. buy
m67170Approximate the point(s) of intersection of the pair of equations. a. 2.3x + 3.8y = 12.4, y = 1.1 ln 1x - 2.052 b. y = ln 3x, y = 3x - 8 c. y = 2.3 ln 1x + 10.72, y = 10e-0.007(x)2 buy
m67184Arielle receives a piecework rate of 10 cents per unit from the Wiggy Factory. Her production record for last week was affected by a machinery breakdown on Tuesday. Her production results were: Monday, 375 units; Tuesday, 22 units; Wednesday, 410 units; Thursday, 390 units; and Friday, 390 units. a. What is the mean number of units produced per day? b. What is the median number of units produced? c. What is the mode number of units produced? buy
m67187Arrange the following interest rates in ascending order: 3.4%, 3.039%, 3 3/16%, 3.499%, 3 1/2% buy
m67197As part of their employee benefits, all workers at Middletown Electronics receive a pension that is calculated by multiplying the number of years worked times 1.65% of the average of their three highest years salary. Maureen has worked for Middletown for 27 years and is retiring. Her highest salaries are $97,000, $97,800, and $98,198. Calculate Maureen s pension. buy
m67202Assume $20,000 is deposited into a savings account. Bedford Bank offers an annual rate of 4% simple interest for five years. Slick Bank offers a rate of 20% simple interest for one year. Which earns more interest? buy
m67224Assume that a1, a2, a3,... is a geometric sequence. Prove that ln a1, ln a2, ln a3, ..... is an arithmetic sequence. buy
m67225Assume that all exponents are integers, all denominators are nonzero, and zero is not raised to a nonpositive power. (a) (xt ∙ x3t)2 (b) (xy ∙ x-y)3 (c) (ta+x ∙ tx-a)4 buy
m67296Assume that variables in exponents represent natural numbers. (a) x2n + 5xn - 24 (b) 4x2n - 4xn - 3 (c) x2 + ax + bx + ab buy
 
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