Answer:

Step-by-step explanation:
The exponential model for the population in t years after 2013 is given by:

In which P(0) is the population in 2013 and r is the growth rate.
In 2013, the moose population in a park was measured to be 5,100
This means that 
So

By 2018, the population was measured again to be 5,200.
2018 is 2018-2013 = 5 years after 2013.
So this means that
.
We use this to find r.







So the equation for the moose population is:

Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:

The expected value of robbing the cash register is:

Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.
Answer:
x=9
Step-by-step explanation:
Since you don't have that much information, you have to assume line HE is congruent to line GF, so now you have an equation that looks like this: 23=x+14. Now you subtract 14 from both sides giving you 9=x, and since you cannot simplify even further, that is your answer