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
Answer:
The original cost of the DVD was $21`.59
Step-by-step explanation:
In order to find this, you first must note that the new price is 88% of the older price. We get this since there was a subtraction of 12%.
Now knowing that, we can divide the new price by the percentage paid and it will give us the original price.
$19/88% = Original Cost
19/.88 = Original Cost
$21.59 = Original Cost
Answer:
1,020
Step-by-step explanation:
25.5 times 40 equals 1,020
The answer is B
because at first y was equal to 15 and x equaled to 3 the quotient of 15/3 = 5.
now the y is 60 so, 60/5 = 12
