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:
I believe the answer is C. 0.75
Step-by-step explanation:
To find the measure of a singular window we need to find the area which is length times width. so that's 2.75(4) which is 11 square feet. However, Kevin has four windows which means he needs 11(4) square feet for all the windows. Which would mean Kevin needs 44 sqaure feet.
Answer:
Total cost of the trip = 243 + 72x
Step-by-step explanation:
Cost of airfare = $243
Amount spent per day = $72
Which expression can he use to help him find the cost of the trip?
Let
x = number of days spent in Alaska
Total cost of the trip = Cost of airfare + (Amount spent per day * number of days spent in Alaska)
= 243 + (72 * x)
= 243 + 72x
Total cost of the trip = 243 + 72x
If he spent 4 days on the trip
Total cost of the trip = 243 + 72x
= 243 + 72(4)
= 243 + 288
= $531
Answer:
42 days/14 days = 3
3x5 tablets = 15
15 tablets for 42 days or 15/42