I hope it helps you get it right
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
Yes the problem is true and 56 is a solution
Answer:
they are not inverses
Step-by-step explanation:
f(1) = 1/1 +3 = 1 +3 = 4
g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1
If the functions were inverses, we would have g(f(1)) = 1, which we do not.
The given functions are not inverses.
_____
The same would be true if your functions were
f(x) = 1/(x+3) and g(x) = 4/(x+2)
f(1) = 1/(1+3) = 1/4
g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1
Answer:
Complementary angles sum to 90°.
<u>∠X has </u><u>∠P </u><u>complementary to it as:</u>
