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Condition |
free/or 0.5$ |
| m66985 | Achal can be paid in one of two ways for the furniture he sells: Plan A: A salary of $900 per month, plus a commission of 10% of sales;
Plan B: A salary of $1200 per month, plus a commission of 15% of sales in excess of $8000.
For what amount of monthly sales is plan B better than plan A if we can assume that Achal s sales are always more than $8000? |
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| m66987 | Acme Movers charges $100 plus $30 per hour to move a household across town. Hank s Movers charges $55 per hour. For what lengths of time does it cost less to hire Hank s Movers? |
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| m66989 | Adahy is paid $9.80 per hour for working at Red Freight Limited. Each year he receives a $1.10 hourly raise. Give a sequence that lists Adahy s hourly wage over a 10-year period. |
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| m66990 | Adam is taking out a $197,000 mortgage. His bank offers him an APR of 7.45%. He wants to compare monthly payments on a 20- and a 30-year loan. Find, to the nearest ten dollars, the difference in the monthly payments for these two loans? |
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| m66991 | Add or subtract and, if possible, simplify.
(a) 7 / 5x + 3 / 5x
(b) 7 / 12y - 1 / 12y
(c) 4 / 3a + 4 + 3a / 3a + 4 |
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| m66992 | Add row 43 to your matrix from Exercise 9. Calculate each month s total expenses.
In Exercise 9
a. Draw a line graph to chart Laura s monthly budgeted expenses. Include horizontal lines to indicate the average monthly expense and the monthly income.
b. What advice would you give to Laura based upon the graph you have constructed? |
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| m67000 | After declining between 1940 and 1980, the number of multigenerational American households has been increasing since 1980. The function h(x) = 0.012x2 - 0.583x + 35.727 can be used to estimate the number of multigenerational households in the United States, in millions, x years after 1940 (Source: Pew Research Center). Use this function for Exercise.
In what year were there 40 million multigenerational households? |
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| m67001 | After declining between 1940 and 1980, the number of multigenerational American households has been increasing since 1980. The function h(x) = 0.012x2 - 0.583x + 35.727 can be used to estimate the number of multigenerational households in the United States, in millions, x years after 1940 (Source: Pew Research Center). Use this function for Exercise.
In what year were there 55 million multigenerational households? |
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| m67002 | After door-to door canvassing, census workers determine the number of unoccupied homes. The table below lists the number of homes, in millions that were unoccupied in four census years.
Year, x Number of Unoccupied Homes in Census (in millions)
1980, 0 .................................. 5.8
1990, 10 ................................ 7.3
2000, 20 ................................ 9.9
2010, 30 ............................... 14.3
a) Use a graphing calculator to fit an exponential function to the data, where x is the number of years after 1980.
b) Graph the function found in part (a).
c) Use the function found in part (a) to project the number of unoccupied homes in the 2020 Census. |
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| m67011 | Ahmad sold 125 shares of stock for x dollars that he had purchased for $32.75 per share. a. How much did he originally pay for the shares of stock?
b. Write an inequality that represents an amount such that Ahmad made money from the sale of the stocks.
c. Suppose Ahmad lost money on the stocks. Write an inequality that represents an amount such that Ahmad lost no more than $1,000 from the sale of the stocks. |
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| m67012 | Aida created the following double bar graph. It illustrates the actual amount spent this year for household expenses per month and the budgeted amounts for the following year. The following year s amounts reflect a 5% increase over the cost of living adjustment (COLA).
Household Expenses
For June, the actual amount is $1,200 and the budgeted amount for Year 2 is $1,320.
a. What was the cost of living adjustment that Aida used to get the budgeted amount?
b. Determine the budgeted amount for January of Year 2.
c. The August actual amount was the exact amount Aida had budgeted for. This actual amount reflected an 8% increase over the previous year s actual amount for August. What was the previous year s actual amount for August rounded to the nearest dollar? |
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| m67013 | Aiden is taking a test that contains questions in group A worth 7 points each and questions in group B worth 12 points each. The total number of questions answered must be at least 8. If Aiden knows that group A questions take 8 min each and group B questions take 10 min each and the maximum time for the test is 80 min, how many questions from each group must he answer correctly in order to maximize his score? What is the maximum score? |
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| m67014 | Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She receives 10% of her first $2,000 in sales and 12% of the balance of her sales. Last week she earned $231.20. What was the total value of the uniforms she sold? |
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| m67017 | Air conditioners are rated by BTUs. You learned about BTUs in Lesson 8-2, Example 6. One watt-hour is equivalent to 3.413 BTUs per hour.
a. How many BTUs per hour are equivalent to a kilowatt-hour?
b. If an air conditioner is rated at 16,000 BTUs, how many watts does it require per hour? Round to the nearest 100 watts.
c. Express your answer to part b in kilowatt-hours.
d. If you run an air conditioner for 18 hours per day for 31 days in July, how many kilowatt-hours will it require for the month? Round to the nearest 100 kilowatt-hours.
e. Based on your answer to part d, and a rate of $0.13 per kilowatt- hour, estimate the cost of running the air conditioner for July to the nearest 10 dollars. |
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| m67020 | Alanna is a stockbroker. She receives a commission based on the value of the trades she makes.
a. If Alanna earns $50 for sales of $1,000, what is her percent of commission?
b. If she earns x dollars for sales of y dollars, express her percent of commission algebraically. |
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| m67021 | Albert Einstein said that compound interest was ". . . the most powerful thing I have ever witnessed." Work through the following exercises to discover a pattern Einstein discovered which is now known as the Rule of 72.
a. Suppose that you invest $2,000 at a 1% annual interest rate. Use your calculator to input different values for t in the compound interest formula. What whole number value of t will yield an amount closest to twice the initial deposit?
b. Suppose that you invest $4,000 at a 2% annual interest rate. Use your calculator to input different values for t in the compound interest formula. What whole number value of t will yield an amount closest to twice the initial deposit?
c. Suppose that you invest $20,000 at a 6% annual interest rate. Use your calculator to input different values for t in the compound interest formula. What whole number value of t will yield an amount closest to twice the initial deposit?
d. Albert Einstein noticed a very interesting pattern when an initial deposit doubles. In each of the three examples above, multiply the value of t that you determined times the percentage amount. For example, in a. multiply t by 1. What do you notice?
e. Einstein called this the Rule of 72 because for any initial deposit and for any interest percentage, 72 ÷ (percentage) will give you the approximate number of years it will take for the initial deposit to double in value. Einstein also said that "If people really understood the Rule of 72 they wou |
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| m67022 | Alex purchases x dollars worth of stock on his broker s advice and pays his broker a 1% broker fee. The value of the shares falls to y dollars years later, and Alex uses a broker who charges 1.25% commission to make the sale. Express his net proceeds algebraically. |
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| m67023 | Alexandra uses her car for business. She knows that her tank was full when she started her business trip, but she forgot to write down the odometer reading at the beginning of the trip. When the trip was over, the odometer read 13,020.5. Alexandra s car gets 25 miles per gallon. When she filled up the tank with gas that cost $4.15 per gallon, her total bill for the trip was $59.76. Determine Alexandra s beginning odometer reading. |
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| m67024 | Alisha has a February starting balance of $678.98 in her checking account. During the month, she made deposits that totaled d dollars and wrote checks that totaled c dollars. Let E = her ending balance on February 28. Write an inequality using E and the starting balance to show the relationship of her starting and ending balances for each condition.
a. If d > c
b. If d < c |
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| m67028 | Allison has a mortgage with, North End Bank. The bank requires that she pay her homeowner s insurance, property taxes, and mortgage in one monthly payment. Her monthly mortgage payment is $1,390, her semi annual property tax bill is $3,222, and her quarterly homeowner s bill is $282. How much does Allison pay North End Bank each month? |
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