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Condition |
free/or 0.5$ |
| m67498 | Carole worked her 40 regular hours last week plus 5 overtime hours at the time and a half rate. Her gross pay was $451.25. What was her hourly rate? |
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| m67499 | Caroline is opening a CD to save for college. She is considering a 1 3-year CD or a 3 1/2. year CD since she starts college around that time. She needs to be able to have the money to make tuition payments on time, and she does not want to have to withdraw money early from the CD and face a penalty. She has $19,400 to deposit.
a. How much interest would she earn at 4.2% compounded monthly for three years? Round to the nearest cent.
b. How much interest would she earn at 4.2% compounded 1 monthly for 3 1/2 years? Round to the nearest cent.
c. Caroline decides on a college after opening the 3 1/2 year CD, and 2 the college needs the first tuition payment a month before the CD matures. Caroline must withdraw money from the CD early, after 3 years and 5 months. She faces two penalties. First, the interest rate for the last five months of the CD was lowered to 2%. Additionally, there was a $250 penalty. Find the interest on the last five months of the CD. Round to the nearest cent.
d. Find the total interest on the 3 1/2 year CD after 3 years and 5 months.
e. The interest is reduced by subtracting the $250 penalty. What does the account earn for the 3 years and 5 months?
f. Find the balance on the CD after she withdraws $12,000 after 3 years and five months.
g. The final month of the CD receives 2% interest. What is the final month s interest? Round to the nearest cent.
h. What is the total interest for the 3 1/2 year CD?
i. Would Caroline have been better of |
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| m67502 | Cash Social Security distributions were $35 million, or $0.035 billion, in 1940. This amount has increased exponentially to $683 billion in 2009. (Source: Social Security Administration) Assuming the exponential growth model applies:
a) Find the exponential growth rate k.
b) Find the exponential growth function.
c) Estimate the total cash distributions in 1965, in 1995, and in 2015.
d) In what year will the cash benefits reach $2 trillion? |
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| m67503 | Cassidy solves the equation 2x + 5 = 3x - 7 by finding the point of intersection of the graphs of
y1 = 2x + 5 and y2 = 3x - 7. She finds the same point when she solves the system of equations
y = 2x + 5,
y = 3x - 7. |
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| m67504 | Cathy is looking for a job as a bookkeeper. One classified ad lists a job in a stereo store that pays 34.6K. Another job, in a clothing store, has a weekly salary of $620.
a. Which job is the higher-paying job?
b. What is the difference in the weekly salaries of these two jobs? Round to the nearest dollar. |
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| m67505 | Celine and Don have been approved for a $400,000, 20 year mortgage with an APR of 6.55%. Using the mortgage and interest formulas, set up a two amortization table with the headings shown and complete the table for the first two months. |
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| m67507 | Center (-2, 3), tangent (touching at one point) to the y-axis |
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| m67508 | Center (4, -5) tangent to the x-axis |
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| m67509 | Certain telescopes contain both a parabolic mirror and a hyperbolic mirror. In the telescope shown in the figure, the parabola and the hyperbola share focus F1, which is 14 m above the vertex of the parabola. The hyperbola s second focus F2 is 2 m above the parabola s vertex. The vertex of the hyperbolic mirror is 1 m below F1. Position a coordinate system with the origin at the center of the hyperbola and with the foci on the y-axis. Then find the equation of the hyperbola. |
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| m67515 | Charleen is single. She is filling out the Social Security worksheet shown on page 451 so she can determine the amount of her Social Security benefits that she will pay federal income tax on. The following lines were taken from her tax information.
• Line 1 She received $38,121 in Social Security benefits.
• Line 3 The total of her other sources of income is $23,907.
• Line 4 The amount from line 8b is $450.
• Line 6 The total to enter is $3,211.
How much of Charleen s Social Security benefit must she pay federal income tax on? |
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| m67516 | Charles deposits $100 in a retirement account each month beginning at age 25. If the investment earns 4% interest, compounded monthly, how much will have accumulated in the account when he retires at age 65? |
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| m67517 | Charlie and Kathy want to borrow $20,000 to make some home improvements. Their bank will lend them the money for 10 years at an interest rate of 5 3/4%. How much will they pay in interest? |
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| m67522 | Cholesterol Level and the Risk of Heart Attack.
The table below lists data concerning the relationship of cholesterol level in men to the risk of a heart attack.
Cholesterol Level Number of Men per 100,000 Who Suffer a Heart Attack
100.......................30
200 ......................65
250 ......................100
275 ......................130
a) Use regression on a graphing calculator to fit linear, quadratic, and cubic functions to the data.
b) It is also known that 180 of 100,000 men with a cholesterol level of 300 have a heart attack. Which function in part (a) would best make this prediction?
c) Use the answer to part (b) to predict the heart attack rate for men with cholesterol levels of 350 and of 400? |
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| m67523 | Chris purchased a used car for $19,700. The car depreciates exponentially by 10% per year. How much will the car be worth after 6 years? Round your answer to the nearest penny. |
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| m67524 | Christopher s boat travels 45 mi downstream in 3 hr. The return trip upstream takes 5 hr. Find the speed of the boat in still water and the speed of the current. |
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| m67525 | Ciana wants to take out a $7,500 loan with a 5.3% APR. She can afford to pay $128 per month for loan payments.
a. What should be the length of her loan? Round to the nearest tenth of a year.
b. What would an increase of $20 to the monthly payment have do to the length of her loan? |
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| m67526 | Circulation of Daily Newspapers. In 1985, the circulation of daily newspapers reached its
highest level (Newspaper Association of America). The quartic function
f (x) = -0.006093x4 + 0.849362x3
- 51.892087x2 + 1627.3581x
+ 41,334.7289,
Where x is the number of years since 1940, can be used to estimate the circulation of daily newspapers, in thousands, from 1940 to 2008. Using this function, estimate the circulation of daily news-papers in 1945, in 1985, and in 2008. |
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| m67529 | City Cabs charges a $1.75 pickup fee and $1.50 per mile traveled. Diego s fare for a cross-town cab ride is $19.75. How far did he travel in the cab? |
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| m67536 | Classic Furniture Concepts has determined that when x hundred wooden chairs are built, the average cost per chair is given by
C(x) = 0.1x2 - 0.7x + 1.625,
Where C(x) is in hundreds of dollars how many chairs should be built in order to minimize the average cost per chair? |
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| m67537 | Classified Ad Revenue. The table below lists the newspaper revenue from classified ads for selected years from 1975 to 2009.
Year, x Newspaper Revenue from Classified Ads, y (in billions of dollars)
1975, 0 ................. $2.159
1980, 5 ................. 4.222
1985, 10 ............... 8.375
1990, 15 ................11.506
1995, 20 ................13.742
2000, 25 ................19.608
2005, 30 ................17.312
2006, 31 ................16.986
2007, 32 ................14.186
2008, 33 ................9.975
2009, 34 ................6.179
a) Use a graphing calculator to fit cubic and quartic functions to the data. Let x represent the
number of years since 1975. Using R2-values, determine which function is the best fit.
b) Using the function found in part (a), estimate the newspaper revenue from classified ads in 1988, in 2002, and in 2010? |
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