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As a town gets smaller, the population of its high school decreases by 6% each year, teh senior class has 250 students now. in how many years will it have about 100 students

Respuesta :

W0lf93
An equation to solve for the time when the high school will have exactly 100 students is (1-.06)^x = (250/100).  
That simplifies to 94^x = .4.  
We can then take the log of both sides to isolate the x variable from the exponent. Here's with natural log.  
x*ln(.94)=ln(.4)
 x = ln(.4)/ln(.94)  
Solving this gives x ~= 14.80. So in about 15 years, the high school will have 100 students.

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