Question

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?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

At the age of 53.5136 years, an average man expects to have half his hair left.

Given information:

Starting at the age of 40, an average man loses 5% of his hair every year.

So, at the age of 40 years, an average man will have 95% of total hairs left.

Let t be the number of years after the age of 40 years.

So, the value of t so that the man will have 50% of hairs left can be calculated as,

$50\%=(1-5\%)^t\\0.5=(1-0.05)^t\\0.5=0.95^t\\log0.5=t\rm \;log0.95\\\it t=\rm 13.5136$

So, the age of the man with 50% hairs left will be 40+13.5136=53.5136 years.

Therefore, at the age of 53.5136 years, an average man expects to have half his hair left.

For more details, refer to the link:

https://brainly.com/question/14294555