Answer + Explanation:
let x be the measure of angle x
let y be the measure of angle y
Now, solve:
plug x = 24 + y into x + y = 180
24 + y + y = 180
24 + 2y = 180
2y = 156
y = 78
Now, plug this back into the equation x = 24 + 78
x = 102
Answer:
(a) P(t) = 12100*(1.04^t)
(b) in 2008, estimate of population is 16560 (to the nearest integer)
Step-by-step explanation:
Population in 2000, P(0) = 12100
Growth rate = 4% each year
(a) function model for the t year after 2000 (exponential model)
P(t) = 12100*(1.04^t)
(b) for 2008,
P(2008-2000)
= P(8)
= 12100*(1.04^8)
= 12100 * 1.368569
= 16559.7
= 16560 (nearest integer)
Answer:
0.4
Step-by-step explanation:
I would do this by first listing the multiples of 6 until I start to see a pattern with the one's digit.
6x0=0
6x1=6
6x2=12
6x3=18
6x4=24
6x5=30
6x6=36
6x7=42
6x8=48
...
The digits in bold are the one's digits so those are the only ones we really care about. If you list just them it looks like: 0,6,2,8,4,0,6,2,8
Notice how the first set of 5 numbers seems as though it repeats in the 6th, 7th, and 8th numbers. This probably means the pattern continues infinitely so the first 5 numbers are all the one's digits that can come from multiples of 6. Thus your answer is: 0,6,2,8,or 4
