Question

The number of employees at a certain company is described by the

function P(t)= 300 (1.5)2t where t is the time in years.
how long does it take for the number of employess at this company
to increase by 10%.

Answer 1

It will take 0.1175 years or the number of employees at this company to increase by 10%.

Explanation:

We are given that the number of employees at a certain company is described by the function
`P(t)= 300 (1.5)^(2t)`

Initial no. of employees = 300

Increase% = 10%

So, New no. of employees =
`300+(10)/(100) * 300`

=
`330`

Now we are supposed find how long does it take for the number of employees at this company to increase by 10%.

So,
`330= 300 (1.5)^(2t)`

`(330)/(300)= (1.5)^(2t)`

`1.1= (1.5)^(2t)`

`t=0.1175`

So, it will take 0.1175 years or the number of employees at this company to increase by 10%.