| № |
Condition |
free/or 0.5$ |
| m67969 | Devon is considering taking out a $7,000 loan. He went to two banks. Stevenson Trust Company offered him an 8-year loan with an interest rate of 8.6%. First National Bank offered him a 5-year loan with an interest rate of 10%. Which loan will have the lower interest over its lifetime? |
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| m67975 | Dillon plans to invest $7500, part at 4% simple interest and the rest at 5% simple interest. What is the most that he can invest at 4% and still be guaranteed at least $325 in interest per year? |
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| m67976 | Dimitri s two student loans total $9000. One loan is at 5% simple interest and the other is at 6% simple interest. At the end of 1 year, Dimitri owes $492 in interest. What is the amount of each loan? |
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| m67978 | Discuss the advantages and disadvantages of each method of finding a binomial expansion. Give examples of when you might use one method rather than the other. [8.7] |
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| m67990 | Discuss why the graph of f (x) = - 3 / 5 x + 4 is steeper than the graph of g(x) = 1 / 2 x - 6. |
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| m67992 | Divide and simplify:
3x2 - 12 / x2 + 4x + 4 ÷ x - 2 / x + 2 |
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| m68029 | Dog Years. A dog s life span is typically much shorter than that of a human. The cubic
Function
d(x) = 0.010255x3 - 0.340119x2
+ 7.397499x + 6.618361,
Where x is the dog s age, in years, approximates the equivalent human age in years. Estimate the equivalent human age for dogs that are 3, 12, and 16 years old. |
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| m68030 | Dog Years. A dog s life span is typically much shorter than that of a human. Age equivalents for dogs and humans are listed in the table below.
Age of Dog, x (in years) Human Age, h(x) (in years)
0.25 ................................................5
0.5 .................................................10
1 ....................................................15
2 ....................................................24
4 ....................................................32
6 ....................................................40
8 ....................................................48
10 ..................................................56
14 ..................................................72
18 ..................................................91
21 ..................................................106
a) Use a graphing calculator to fit linear and cubic functions to the data. Which function has the better fit?
b) Using the function from part (a), estimate the equivalent human age for dogs that are 5, 10, and 15 years old? |
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| m68032 | Dominique is single. She is filling out the Social Security worksheet so she can determine the amount of her Social Security benefits that she will pay federal income tax on. Fill in the following lines which were taken from Dominique s tax information.
• Line 1-she received $28,922 in Social Security benefits.
• Line 3-the total of her other sources of income is $52,888.
• Line 4-the amount from line 8b is $300.
• Line 6-the total to enter is $3,211.
a-n. Fill in the correct entries for the rest of the lines on her Social Security worksheet.
p. How much of Dominique s Social Security benefit must she pay Federal income tax on?
Social Security Benefits Worksheet-Lines 20a and 20b |
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| m68034 | Donna receives $230 per year in simple interest from three investments totaling $8500. Part is invested at 2.2%, part at 2.65%, and the rest at 3.05%. There is $1500 more invested at 3.05% than at 2.2%. Find the amount invested at each rate. |
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| m68038 | Download a copy of the check register shown below from www.cengage.com/school/math/financialalgebra.
Complete items a through y. |
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| m68044 | Draw a graph of a function for which the domain is [-4, 4] and the range is U [3, 5]. |
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| m68045 | Draw a graph of cost function Y1 and revenue function Y2 that meet the following criteria.
Maximum revenue: $125,000
Breakeven points: $40 and $160
Price at which no revenue is made: $200
Maximum expenses: $105,000 |
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| m68048 | Drivers who were distracted by such things as text-messaging, talking on a cell phone, conversing with passengers, and eating were involved in 5870 highway fatalities in 2008. This was an increase of about 18% over the number of distracted-driving fatalities in 2004 and is attributed largely to the increased number of drivers who texted in 2008. (Source: NHTSA s National Center for Statistics and Analysis) How many highway fatalities involved distracted driving in 2004? |
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| m68056 | During 2003, a share of stock in the Coca-Cola Company sold for $39. During 2008, the price hit $56 per share. Express the increase in price as a percent of the price in 2003. Round to the nearest tenth of a percent. |
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| m68070 | Each graph in Exercises is the graph of a one-to-one function f. Sketch the graph of the inverse function f-1.
a.
b.
c. |
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| m68083 | Ed computes the ending balance for an account he is considering. The principal is $20,000, and the interest rate is 5.39%, compounded continuously for four years. He uses the formula B = pert and substitutes directly on his calculator. Look at the keystrokes he entered.
20,000e^ (.0539)(4)
He presses ENTER and sees this display.
20000e^ (.0539)(4) = 84430.32472
Ed s knowledge of compound interest leads him to believe that this answer is extremely unreasonable. To turn $20,000 into over $84,000 in just four years at 5% interest seems incorrect to him.
a. Find the correct ending balance.
b. Explain what part of Ed s keystroke sequence is incorrect. |
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| m68084 | Ed Lubbock s FlashCard bill is below. There are entries missing.
a. What is Ed s average daily balance?
b. What is Ed s finance charge?
c. What is Ed s new balance?
d. What is Ed s available credit?
e. If the $30 charge to Petrela Sailboats had been posted on 12/9, would the finance charge be higher or lower for this billing cycle? Explain. |
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| m68085 | Eddie is a plant manager at North Salem Construction Company. He has been employed there for 20 years and will be retiring at the end of this year. His pension is calculated on the average of his last four years salaries. In those years, he earned $82,000, $96,000, $105,000, and $109,000. His employer will give him 1.2% of that average for each year he worked. Calculate Eddie s pension. |
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| m68089 | Edward is driving 52 mi/h on a one-lane road. He must make a quick stop because there is a stalled car ahead.
a. What is his approximate reaction distance?
b. What is his approximate braking distance?
c. About how many feet does the car travel from the time he switches pedals until the car has completely stopped? |
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