Question

I need help this is hard please help me

Answer 1

P(t)=25000+1.12t

Explanation:

Now can you help me?

A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

f(t) = −16t2 + 16t + 32

Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

Answer 2

`p(t)=25000e^(1.12t)`

Explanation:

The expression exponential growth is applied to a magnitude such that its variation in time is proportional to its value, which implies that it grows faster and faster in time, according to the equation:

`f(x)=ab^(x)`

So, we can modeling an equation that describes the increasing of the population of Madison.

The town of Madison has a population of 25,000. The population is increasing by a factor of 1.12 each year.

`p(t)=p(0)e^(rt)`

Where p(t) is the population increase in a t years, p(0) is the initial population, r is the increasing factor, and t the amount of years elapsed.

So, we obtain:

`p(t)=25000e^(1.12t)`