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ggomez4
15.01.2020 •
Mathematics
Model the pair of situations with exponential functions f and g. find the approximate value of x that makes f(x)=g(x).
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Ответ:
At x= 20.10723974, both f(x)=g(x)
Step-by-step explanation:
f(x) = 300(1-0.04)^x = 300(0.96)^x
g(x) = 60(1+0.04)^x = 60(1.04)^x
now equate both of them and calculate x
300(0.96)^x = 60(1.04)^x
5(0.96)^x = (1.04)^x
ln(5) + x ln(0.96) = x ln(1.04)
x={ln(5)}/{ln(1.04)-ln(0.96)}
x= 20.10723974
Ответ: