Question

Roberto notices that his hair is decreasing exponentially at a rate of 60% per year. If he starts with 100,000 hairs on his head,how many hairs will he have after 4 years? worth 98 points! please help!

Answer 1

Answer:

2560 hairs.

Step-by-step explanation:

Given,

The initial number of hairs, P = 100,000,

The rate of change per year, r = - 60 % = -0.6   ( Negative sign shows decreasing )

Thus, the population after x years,

$A=P(1+r)^t$

$=100,000(1-0.6)^x$

$=100,00(0.4)^x$

Which is the function formula for the given scenario,

When, x = 4 years,

The number of hairs after 4 years would be,

$A=100,000(0.4)^4$

$=100,000\times 0.0256$

$=2560$

Answer 2

Answer:

100,000(1-0.6)

Total: 2560

Step-by-step explanation:

P = 100,000,  r = - 60 % = -0.6  x = 4