Since ln(x) is the inverse of e^x and we want to find out when P(x)=1000, we will substitute P(x) by 1000 and then solve for x days.
1600e^0.3x = 1000
Divide 600 for both sides you will get:
5/3 = e^0.3x
Multiply ( ln ) for both sides and then divide by 0.3.
(ln 5/3)/(0.3) = x
x = 1.7
So there will be 1000 flies in approximately 1.7 days
Step-by-step explanation:
this is the answer in the picture
Answer:
Proportionality Constant = k = 
Step-by-step explanation:
Equation is:

=> 
Comparing it with
, where k is the proportionality constant, We get:
Proportionality Constant = k = 
Short answer:
TotalCost = 12.96
Long answer:
It gives you the equation of
total cost = C + 0.08C
You just need to plug-in the $12 to the equation.
In other words, the equation is:
TotalCost = 12 + 0.08*12
TotalCost = 12 + 0.96
TotalCost = 12.96