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Finite Math (Sp. 2017) – Dr. S. Farmer, Instructor
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Bus Econ 1.2.39
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A salon sells its cologne wholesale for $8.75 per bottle. The variable costs of producing x hundred bottles is – 3×2 + 306x – 325 dollars, and the fixed costs for
manufactuaring are $22,000. Find expressions for the revenue, cost, and profit from selling x hundred items.
Which expression represents revenue?
O A. R= 8.75x + 22,000
O C. R= 8.75x
B. R= 875x
© D. R= 8750x
Which expression represents cost?
O A. C= -3×2 – 306x – 21,675
OC. C = 875x – 22,000x
B. C= -3×2 + 306x + 21,675
OD. C= – 3×2 + 306x + 22,000
Which expression represents profit?
O A. P= – 3×2 – 569x – 21,675
OC. P = 3×2 + 1181x + 22,000
B. P = 3×2 + 569x – 21,675
OD P = 3×2 + 1181x – 21,675
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09
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Life Sci 1.5.91
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The age-adjusted death rates per 100,000 people for a particular disease can be approximated by the function shown below, where x = 2 corresponds to 2002.
Assuming the model remains accurate, find the approximate age-adjusted death rate in 2014.
– 0.157
263.6x (x2)
The approximate age-adjusted death rate in 2014 is 174.2
(Round to one decimal place as needed.)
SO
ES
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Bus Econ 1.6.63
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A mother wants to invest $14,000.00 for her son’s future education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4%
and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $840.00, how much money was invested in the CD account?
The total interest earned after one year is $840.00.
How much money was invested in the CD account? $ 4666.67
(Round to the nearest cent, if necessary.)
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Bus Econ 1.6.75
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A state has a graduated fine system for speeding, meaning you can pay a base fine and then have more charges added on top. For example, the base fine for
speeding is $100. But that is just the start. If you are convicted of going more than 10 mph over the speed limit, add $20 for each additional mph you were traveling
over the speed limit plus 10 mph. Thus, the amount of the fine y (in dollars) for driving x mph while speeding (when the speed limit is 40 miles per hour) can be
represented with the equation below.
y = 20(x – 50) + 100, x 50
If someone was fined $240 for speeding, how fast were they going?
57 mph
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COCELTUI 221
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Bus Econ 1.6.777
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A teenager borrowed his father’s luxury car and promised to retum it with a full tank of premium gas, which costs 4.40 per gallon. From experience, he knows that he
needs 14.5 gallons. He has, however, only $50 (and no credit card). He decides to get as much premium as possible and fill the remainder of the tank with regular
gas, which costs 3.10 per gallon.
How much of each type of gas should the teenager get?
ERRER
3.9 gallons of premium and 10.6 gallons of regular
(Round your answer to one decimal place.)
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