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AleksAgata [21]
3 years ago
9

Water evaporates from a pond at aa rate of 0.005 inches per hour. What is the change in the water level of the pond after 24 hou

rs? Express your answer as a rational number
Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

Water level after 24 hours will be \frac{3}{25}\ inches.

Step-by-step explanation:

Given:

Evaporate rate of water= 0.005 inches per hour.

We need to find the level of water after 24 hours.

now we know the in 1 hour the water evaporates from a pool at a rate of 0.005 inches.

So To find the water level after 24 hrs we will multiply the evaporation rate with total number of hours which is 24 and the divide by 1 hour we get.

Framing in equation form we get;

water level after 24 hrs = \frac{24 \times 0.005}1 = 0.12\ inches

Now to convert the number in rational form we have to multiply and divide the number by 100 we get;

\frac{0.12\times 100}{100} = \frac{12}{100}=\frac{3}{25}\ inches

Hence Water level after 24 hours will be \frac{3}{25}\ inches.

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Answer: 7 × ( 3^n - 1 )

Step-by-step explanation:

This is a geometric progression which has its nth term to be

Tn = ar^n- 1. Now from the question given, the sequence are 7, 21, 63, 189. This is an example of a finite sequence, To find the common ratio, you divide the second term by the first term. So

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