Answer:
19
Step-by-step explanation:
f(x) = 2x^2 +1
Let x =3
f(3) = 2 (3)^2 +1
= 2 *9 +1
= 18 +1
= 19
Answer:
1
Step-by-step explanation:
1 * 1 * 1 * 1 = 1
Answer:
Step-by-step explanation:
Let P be the population of the community
So the population of a community increase at a rate proportional to the number of people present at a time
That is
![\frac{dp}{dt} \propto p\\\\\frac{dp}{dt} =kp\\\\ [k \texttt {is constant}]\\\\\frac{dp}{dt} -kp =0](https://tex.z-dn.net/?f=%5Cfrac%7Bdp%7D%7Bdt%7D%20%5Cpropto%20p%5C%5C%5C%5C%5Cfrac%7Bdp%7D%7Bdt%7D%20%3Dkp%5C%5C%5C%5C%20%5Bk%20%5Ctexttt%20%7Bis%20constant%7D%5D%5C%5C%5C%5C%5Cfrac%7Bdp%7D%7Bdt%7D%20-kp%20%3D0)
Solve this equation we get

where p is the present population
p₀ is the initial population
If the initial population as doubled in 5 years
that is time t = 5 years
We get

Apply In on both side to get

Substitute
in
to get

Given that population of a community is 9000 at 3 years
substitute t = 3 in 

<h3>Therefore, the initial population is 5937.8</h3>
Answer:

Step-by-step explanation:
Let n = the number of prints
and C = the total cost.
At the regular price, the formula is
C = 1.45n
During the promotion, you must pay for the first nine prints: 9 × 1.45 = 13.05.
For anything over nine prints (n - 9), you must pay $13.05 plus the promotional cost of $1.10 for each print. The promotional formula is
C = 13.05 + 1.10(n - 9) {n > 9}
1. Calculate the cost of 19 prints

2. What number of the prints is a waste of money?
During the promotion, buying fewer than nine prints would be a waste of money, because you would not be taking advantage of the promotional savings.