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Algebra Question??..Need Help!?


A statistical study shows that the fraction of television sets of a certain brand that are still in service after x years is given by,

f(x) = e^(-0.15x)

a.What fraction of the sets are still in service after 5 years?

b.After how many years will the fraction still in service be 1/10?

BEST ANSWER GETS 5 STARS ASAP!!

a) Enter 5 for x:
f(5) = e^(-0.15*5)
f(5) = 0.472366553

b) 0.1 = e^*(-0.15*x)
log (0.1) = -0.15*x
log (0.1)/-0.15 = x
x = -1/-0.15
x = 6.66666...

So, after 6.67yrs, the fraction will be 1/10th.

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