Question

The population of a village is 5000. It is increasing at the rate of 10% each year. At the end of 3 years, 1155
people migrate from the village. The net increase in population at the end of 3 years is??

Answer 1

Population in -
Year 0: 5,000
Year 1: 5,000 x 1.1
Year 2: 5,000 x 1.1^2
Year 3: 5,000 x 1.1^3 - 1,155
Net increase = Year 3 Population - 5,000

Answer 2

got it thanq

Answer 3

Two pipes A and B can separately fill a cistern in 24
and 32 minutes respectively. They started to fill a
cistern together, but B is turned off after few minutes
and A fills the rest of the cistern. If total time taken is 18
minutes, after how many minutes is tap B turned off?

Answer 4

Pipe A fills the cistern as per the following equation:
\[A = \frac{x}{24}; 0 ≤ x ≤ 24\]
And Pipe B:
\[B = \frac{x}{32}; 0 ≤ x ≤ 32\]
Where x is the number of minutes.
Combined they work based on the following equation:
\[A+B = \frac{x}{24} + \frac{x}{32} = \frac{(32x+24x)}{768} = \frac{56x}{768} = \frac{7x}{96}\]
So, they can both fill the cistern in just under 14 minutes (96/7).
But we need different values for the number of minutes each was on:
\[A+B = \frac{x}{24} + \frac{y}{32} = \frac{(32x+24y)}{768}\]
If x = 18, plug in a solve for y.