Exponential Growth
Some real-life events grow in such a way that they can be modeled as an exponential function, given as:
Where C(t) is the future value of the measured variable, Co is its initial value, r is the growth rate and t is the time.
We are given the following data:
Initial amount: Co=40 bacteria
Growth rate: 1 + r = 3
The bacteria triples every 4 days, thus t is the number of periods of 4 days.
Thus the model is:
We can solve the equation
1 + r = 3
And get r = 2. Rewriting the equation:
We are required to find the number of bacteria after 20 days, that is, after 20/4 = 5 periods of 4 days. Substituting:
Calculating:
The colony would have 9,720 bacteria after 20 days
Answer:
D) 1.0*10^7
Step-by-step explanation:
10,000,000
10,000*10^3
10*10^6
1.0^10^7
Scientific notation requires the following formula:
(a and c are digits, b is the value after the decimal point)
a.b*10^c
1/4 * 200=50, 42+50= 92, 200 - 92 =108, 108/200= 0.54, 0.54 *100= %54
Answer:
12.9
Step-by-step explanation:
cos 72 = 4/x
x = 4/cos72
x = 12.9