Answer:
Step-by-step explanation:
Let the rate at which the bacteria grow be represented by the exponential equation
P(t) = P0e^kt
P(t) is the population of the bacteria after time t
P0 is the initial population
k is the constant of variation
t is the time
If the initial Population is 160 bacteria's, them the equation becomes;
P(t) = 160e^kt
b) if After 5 hours there will be 800 bacteria, this means
at t = 5 p(t) = 800
Substitute and get k
800 = 160e^5k
800/160 = e^5k
5 = e^5k
Apply ln to both sides
Ln5 = lne^5k
ln5 = 5k
k = ln5/5
k = 0.3219
Next is to calculate the population after 7hrs i.e at t = 7
P(7) = 160e^0.3219(7)
P(7) = 160e^2.2532
P(7) = 160(9.5181)
P(7) = 1522.9
Hence the population after 7houra will be approximately 1523populations
c) To calculate the time it will take the population to reach 2790
When p(t) = 2790, t = ?
2790 = 160e^0.3219t
2790/160 = e^0.3219t
17.4375 = e^0.3219t
ln17.4375 = lne^0.3219t
2.8587 = 0.3219t
t = 2.8587/0.3219
t = 8.88 hrs
Hence it will take approximately 9hrs for the population to reach 2790
Then you'll need to get started on it pretty soon.
Just take it slow and easy, and remember your order of operations (or PEMDAS).
First look through it and do any multiplications and divisions that you find.
Then do the additions and subtractions.
I just gave it a quick scan and I came up with 26. I dont know if it's correct.
Get to work. You can do this !
(-4,-4) is quadrant 3
(5,2) is quadrant 1
(-6,11) is quadrant 2
Answer:
8.79 + .67 = 9.46 total tax
Step-by-step explanation:
97.62 + 22.95 + 14.78 = 135.35
135.35 * .065 = 8.79 state
135.35 * .005 = .67 county
8.79 + .67 = 9.46 total tax