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AlekseyPX
4 years ago
5

As a town gets smaller, the population of its high school decreases by 12% each year. The student body has 125 students now. In

how many years will it have about 75 students? Use this equation 75=125(0.88)^x to solve the problem. Round the nearest year.

Mathematics
2 answers:
Oxana [17]4 years ago
7 0

Answer:

4 years!

Step-by-step explanation:

Look below to see the work (:

Citrus2011 [14]4 years ago
5 0
125(0.88)^1 = 110
125(0.88)^2 = 96.8
.
125(0.88)^4 = 74.96 = about 75
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bogdanovich [222]
The exponential function is
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If f(x)=92, f(x+4)=280, then
f(x+4)/f(x) = 280/92 = ab^(x+4)/(ab^x) = b^4
to find the base b,
b^4=(280/92)
b=(280/92)^(1/4)    ..... fourth root, or take square-root twice
=3.4035^(1/4)
=1.3208  (accurate to 4 places of decimal).

Edit: 92*1.3208^4 gives 279.9858  (missing little bit because of accuracy).
A slightly better accuracy would be
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and 92*1.320816698856163^4 would still be 279.9999999999993, but VERY close to 280.  
So it all depends on the accuracy you need.
If you need more accuracy, please tell me how many accurate digits you'd like the results.
Here it is:
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and if you multiply together
92*base^4, you will get 280 accurate to at least 90 digits after the decimal.  
I think that should be sufficient for what you need.  Recall that these calculations cannot be done or verified on a 10 or 12 digit calculator.

Well, to please you, I have calculated it to 500 digits, don't think that's going to be of much practical use for anybody.  
By the way, that's as far as I will do this evening.  My eyes are almost closing!

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3 years ago
I have no clue what it is so please help me
Igoryamba

Answer:

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