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:
7 miles
Step-by-step explanation:
35 x 0.2 = 7 miles
Answer:
For example, [latex]\text{60%}=\frac{60}{100}[/latex] and we can simplify [latex]\frac{60}{100}=\frac{3}{5}[/latex]. Since the equation [latex]\frac{60}{100}=\frac{3}{5}[/latex] shows a percent equal to an equivalent ratio, we call it a percent proportion.
Step-by-step explanation:
Answer:
1 / x^3
I don't know what you mean by trying to get more characters by the way sorry.
Step-by-step explanation:
Exponents rule will change X^-3 / x^0 to x^-3-0
Subtract the exponents to get x^-3
Since exponents cannot be negative, the answer will be changed to a fraction 1/x^3.