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ryzh [129]
3 years ago
5

A day? 6. If 18 pumps can raise 2150 tonnes of water in 50 days, working 8 hours a day, how much water will be raised in 60 days

by 16 out of which 10 are working 9 hours a day and the rest 7 hours a day?
​
Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
Given, 18 pumps----2170 tonnes----10*7 hrs.
So, 16 pumps-------2170 tonnes----10*7*18/16 hrs.
And, 16 pumps-------1736 tonnes----10*7*(18/16)*(1736/2170)hrs. = 63 hrs.

So, no. of days req.= 63/9 = 7 days
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To solve this we are going to use the exponential function: f(t)=a(1(+/-)b)^t
where
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a is the initial amount
b is the decay  or grow rate rate in decimal form
t is the time in years

Expression A 
f(t)=624(0.95)^{4t}
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Now, to find the initial value of the function, we are going to evaluate the function at t=0
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f(0)=624(0.95)^{0t}
f(0)=624(0.95)^{0}
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Expression B
f(t)=725(1.12)^{3t}
Since the base (1.12) is greater than 1, we have a growth rate here.
To find the rate, we are going to use the same equation as before:
b=|1-base|*100%
b=|1-1.12|*100
b=|-0.12|*100%
b=0.12*100%
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We can conclude that expression B grows at a rate of 12% every 4 months.

Just like before, to find the initial value of the expression, we are going to evaluate it at t=0
f(t)=725(1.12)^{3t}
f(0)=725(1.12)^{0t}
f(0)=725(1.12)^{0}
f(0)=725(1)
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The initial value of expression B is 725.

We can conclude that you should select the statements:
- Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every fourth months. 

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Answer:

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Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the difference between the shortest and the longest

This question implies that we calculate the range.

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From the table, we have:

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Shortest = 5.531m

So, we have:

Range = 8.7m- 5.531m

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