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Natali [406]
3 years ago
13

Suppose a ball is dropped from a height of 6 ft. It bounces back up but each time it bounces, it reaches only 7/10 of its previo

us height. What is the total of each height that the ball reaches after 5 bounces?
A. 98.0243 ft
B. 10.6386 ft
C. 39.0806 ft
D.16.6386 ft
Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0
6
6 * 0.7 = 4.2
4.2 * 0.7 = 2.94
2.94 * 0.7 = 2.058
2.058 * 0.7 = 1.4406
1.4406 * 0.7 = 1.00842

4.2 + 4.2 + 2.94 + 2.94 + 2.058 + 2.058 + 1.4406 + 1.4406  = 
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Answer: the cost per unit of gas is $0.28

Step-by-step explanation:

Let x represent the cost per unit of electricity.

Let y represent the cost per unit of gas.

During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. This is expressed as

500x + 100y = 333 - - - -- - -- - -- -1

The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. This is expressed as

400x + 150y = 286 - - - - - - - - - --2

Multiplying equation 1 by 400 and equation 2 by 500, it becomes

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