Answer:
31
Step-by-step explanation:
50 X 62% = 31
59 = j + 29
59-29=j+29-29
30 = j
(or you could rewrite it as j=30)
hope this helps!! :)
A line that passes through (5, 1) can have ANY slope and ANY y-intercept. There are an infinite number of different lines that pass through that point.
Answer:
4185
Step-by-step explanation:
A culture of bacteria grows exponentially according to the following general exponential growth function;
where;
p(t) is the population at any given time t.
p(0) is the initial population
k is the growth constant
From the information given we have;
p(0) = 1500
at t = 5, p(t) = 2300; p(5) = 2300
We shall use this information to determine the value of k;
![2300=1500e^{5k}](https://tex.z-dn.net/?f=2300%3D1500e%5E%7B5k%7D)
Divide both sides by 1500;
![\frac{23}{15}=e^{5k}\\\\ln(\frac{23}{15})=5k\\\\k=0.08549](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B15%7D%3De%5E%7B5k%7D%5C%5C%5C%5Cln%28%5Cfrac%7B23%7D%7B15%7D%29%3D5k%5C%5C%5C%5Ck%3D0.08549)
Therefore, the population of the bacteria at any time t is given by;
![P_{t}=1500e^{0.08549t}\\\\P(12)=1500e^{0.08549(12)}=4184.3](https://tex.z-dn.net/?f=P_%7Bt%7D%3D1500e%5E%7B0.08549t%7D%5C%5C%5C%5CP%2812%29%3D1500e%5E%7B0.08549%2812%29%7D%3D4184.3)