The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.
calculates three times a year, not just once a year.

3 times a year
so x becomes 3x


Take log on both sides


Use log property and move exponent before log

Divide both sides by x
log 4 = 3 log(1+r)
Solve for '1+r'
log 4 = log(1+r)^3
Remove log from both sides
4 = (1+r)^3
take cube root on both sides
1.584740= 1+r
1+r = 1.59

so equation becomes

1+r = 1.59
subtract 1 from both sides
So r= 59 = 59%
So growth factor is 59%
Answer is option C
Answer:
id have to go with the front right leg
Answer:
The Area of the parallelogram = 144 m²
Step-by-step explanation:
<u><em>Formula</em></u>:
Area of a parallelogram = b × h
Where , b is the base of the parallelogram
and h is its height.
………………………………
In our case :
b = 12 ; h = 12
Then
The Area of the parallelogram = 12 × 12 = 144 m²
Answer:
The first graph
Step-by-step explanation:
If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Answer:
A≈1385.44in²
Step-by-step explanation:
A=πr2=π·212≈1385.44236in²