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Kazeer [188]
2 years ago
12

A food cooperative is a business that usually offers special prices on locally grown food and produce. Some are clubs and some a

re retail stores. A club costs a one time club fee of $20 and a cost of $15 per week. A retail store costs no club fee and a cost of $17.50 per week. After how many weeks will the cost of the club and the retail be the same?
Mathematics
1 answer:
Hoochie [10]2 years ago
3 0

Answer:

The indifference point is 8 weeks.

Step-by-step explanation:

<u>First, we establish the total cost formula for each:</u>

x= number of weeks

Club:

Total cost= 20 + 15*x

Retail:

Total cost= 17.5*x

<u>Now, we equal both formulas and isolate x:</u>

20 + 15x = 17.5x

20 = 2.5x

8=x

The indifference point is 8 weeks.

<u>Prove:</u>

Total cost= 20 + 15*8= $140

Total cost= 17.5*8= $140

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Answer: 20%

Step-by-step explanation: The same number applies here. Think about it this way, let's say you have a friend named Sofia and she has 3 dollars more than you, how many dollars do you have less than Sofia? 3 dollars. That's the easiest way I can explain it.

4 0
3 years ago
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

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3 years ago
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Answer:

the answer is your welcome

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5 0
2 years ago
Who can help me number 5 please?
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Step-by-step explanation:

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