Answer:
3544
Step-by-step explanation:
This is a problem of compound growth. The formula is

Where F is the value in the future (in this case, the population after 13 years)
P is the intial amount (here, the initial population of 2000, so P = 2000)
r is the rate of growth (here, it is 4.5%, in decimal, 0.045)
t is the time frame (here, it is 13 years, so t = 13)
<em>we can plug the numbers into the formula and solve for F:</em>
<em>
</em>
<em>rounded to the nearest whole number, the </em><em>population after 13 years would be 3544</em>
Pythagorean Theorem:
a^2 + b^2 = c^2
10. 144 + 196 = 340
Yes, it is a right triangle
11. 256 + 361 does not equal 684 so it is not a right triangle
Answer:
<em>Thus, f and g are inverse functions</em>
Step-by-step explanation:
<u>Inverse Functions</u>
If two functions f(x) and g(x) are inverses, then it follows that:

Or:

We are given


Let's test if they are inverse functions:

Simplifying:

Now find:

Operating:

Thus, f and g are inverse functions