Tan (45)=x/100
Put tan(45) over 1 and cross multiply to get an equation
Tan (45)•100=1x
Solve for x
Tan (45)•100=161.977
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:
d is answer i 100% sure for first
First of all, you would use the FOIL method for -5(a + 3). This means to just multiply -5 to all of the values in the parenthesis. This would equal:
-5a -15 = -55
Then after, you would add 15 for both sides and get -5a = -40
Divide by -5 on both sides, you get a = 8.
Here is a visual representation: https://puu.sh/zPxLC/a16740d0ce.png
4.5 to 6.5 i think not really shure