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ra1l [238]
3 years ago
14

Starting at the age of 40, an average man loses 5%of his hair every year. At what age should an average man expect to have half

his hair left?
Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

50 years old

Step-by-step explanation:

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You're looking for the time t that it takes for the principal P to double, so A=2P. Dividing both sides of the formula by P leaves you with

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2=\left(1+\dfrac{0.0075}{12}\right)^{12t}
\ln2=\ln\left(1+\dfrac{0.0075}{12}\right)^{12t}
\ln2=12t\ln\left(1+\dfrac{0.0075}{12}\right)
t=\dfrac{\ln2}{12\ln\left(1+\dfrac{0.0075}{12}\right)}\approx92.45
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