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vovikov84 [41]
3 years ago
6

The population is 25000. the population increases 3% yearly. whats the population 10 years from now

Mathematics
2 answers:
otez555 [7]3 years ago
8 0
Here we can find it by the formula of simple interest 
                               A=P×R×t÷100
                              A=25000×3×10÷100
                              A=2500×3
                             A=7500
Then the population after 10 yrs will be 25000 +7500 = 100000
Evgen [1.6K]3 years ago
8 0
Population in the zeroth year = 25000

After 1 year it increases to 3%, that is 100% + 3% = 103% = 103/100 = 1.03

So it increases by a multiplying factor of 1.03.

At the end of year 1 = 25000*1.03

At the end of year 2 = 25000*1.03*1.03 = 25000*1.03²

At the end of year 3 = 25000*1.03*1.03*1.03 = 25000*1.03³
...

....

Similarly at the end of 10 years = 25000*1.03¹⁰       evaluate with calculator.

 = 25000*1.03¹⁰ ≈ 33 597.91

So the population at the end of 10 years will be ≈ 33 598

Hope this explains it.
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(ii). Average speed = 75 km per hour

Step-by-step explanation:

This question is incomplete; here is the complete question.

A train traveled from station A to station B at an average speed of 80 kilometers per hour and then from station B to station C at an average of 60 kilometers per hour. If the train did not stop at station b, what was the average speed at which the train traveled from station A to C?

(i). The distance that the train traveled from station A to station B was 4 times the distance that train traveled from station B to station C.

(ii). The amount of time it took to the train to travel from station A to station B is 3 times the amount of time that it took the train to travel from station B to station C.

(i) Let the distance between station B and station C = x km

So the distance between Station A and station B = 4x km

Therefore, time to travel the distance x km with 80 km per hour = \frac{\text{Distance traveled}}{\text{Speed}}

= \frac{4x}{80}

Similarly time taken to travel between station B and station C with speed 60 km per hour = \frac{x}{60} km per hour

Now average speed between station A and station C = \frac{\text{Total distance between station A and station C}}{\text{time taken to travel}}

= \frac{4x+x}{\frac{4x}{80}+\frac{x}{60}}

= \frac{5x}{\frac{4x}{60} }

= \frac{5\times 60}{4}

= 75 km per hour

(ii). Let the train took the time to cover the distance between station B and station C = t hours

Therefore, time taken by the train between station A and B = 3t

Distance between Station A and station B = Speed × time

= 80 × 3t

= 240t km

Similarly distance between station B and station C = 60 × t

= 60t

Now average speed between station A and station C = \frac{240t+60t}{(3t+t)}

= \frac{300t}{4t}

= 75 km per hour

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