Question

Mr. MD is losing 20% of his hair each year. If he currently has 1,546 hairs on his head, about how many hairs will he have left in ten years?:::: Write a function- What is the initial amount? What is the decay rate? What is the final function? Thank you!

Answer 1

Answer: 166 hairs

Step-by-step explanation:

Initially he had 1546 hairs. Loses 20% each year. So after 10 years, he will have

= 1546 x 0.80^10

= 1546 x .107374

= 166 hairs

Answer 2

After 10 years, 166 hairs have left on Mr. MD head.

Decay rate is 20 %.

The number of hairs left after n years is given by,

                  $A =P(1-\frac{r}{100} )^{n}$

Where P is the current population value, r is rate of decay and n is number of years.

Given that,  $P=1546,n=10,r=20$

Substitute values in above equation.

               $A=1546(1-\frac{20}{100} )^{10} \\\\A=1546*(\frac{4}{5} )^{10} \\\\A=166$

Thus, After 10 years, 166 hairs have left on Mr. MD head.

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