A ship carrying 1000 passengers is wrecked on a small island from which the passengers are never rescued. The natural resources of the island restrict the population to a limiting value of 5790, to which the population gets closer and closer but which it never reaches. The population of the island after time t, in years, is approximated by the logistic equation given below.
P(t) = 5790/1 + 4.76e^-0.7t
(a) Find the population after 6 years.

The population after 6 years is 5404

Step-by-step explanation:

The population of the island after t years is modeled by the following function:

(a) Find the population after 6 years.

This is P(6).

So

The population after 6 years is 5404

5404

Step-by-step explanation:

P(t) = 5790/(1 + 4.76e^-0.7(6))

= 5404.250311

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

1) letter c.

2) 4 square root of 9

hope this

step-by-step explanation: