Answer: A. $1189.97
Step-by-step explanation:
Answer:

The doubling time is of 27.65 minutes.
Step-by-step explanation:
Exponential equation of growth:
The exponential equation for population growth is given by:

In which P(0) is the initial value and k is the growth rate.
A freshly inoculated bacterial culture of Streptococcus contains 100 cells.
This means that
. So

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.
This means that
, and we use this to find k. So






So

Doubling time:
This is t for which P(t) = 2P(0) = 200. So






The doubling time is of 27.65 minutes.
Answer:
Domain : All real numbers
Range: x<0
Step-by-step explanation:
Answer:
(2, -2)
Step-by-step explanation:
Given the equation
x - y = 4 ... 1
6x+y = 10 ...2
Add both expressions
x+6x = 4 + 10
7x = 14
x = 14/7
x = 2
Substitute x = 2 into equation 1;
From 1;
x - y = 4
2 - y = 4
y = 2-4
y = -2
Hence the solution to the system of equation is (2, -2)