At the end of the zeroth year, the population is 200.
At the end of the first year, the population is 200(0.96)¹
At the end of the second year, the population is 200(0.96)²
We can generalise this to become at the end of the nth year as 200(0.96)ⁿ
Now, we need to know when the population will be less than 170.
So, 170 ≤ 200(0.96)ⁿ
170/200 ≤ 0.96ⁿ
17/20 ≤ 0.96ⁿ
Let 17/20 = 0.96ⁿ, first.
log_0.96(17/2) = n
n = ln(17/20)/ln(0.96)
n will be the 4th year, as after the third year, the population reaches ≈176
Take one angle as 2x and the other as x because then their ratio would be 2:1. And when you add them you get 90. So you want to find x,
2x+x=90
3x=90
x=30
One angle is 2*30 or 60 degrees, and the other is 1*30 or 30 degrees.
And it makes sense. 60:30 is a 2:1 ratio if you divide both sides by 30 and they both add to 90.
Hope this helps.
Answer: 7-14c
Step-by-step explanation: -2 times -4 =8 then do -2 times 7c= -14c
now u have 8-14c-15 =-7-14c
Answer:
The answer to your question is length = 6 in, # of pieces = 8
Step-by-step explanation:
Data
2 sandwiches one of 18 in and other of 30 in
cut into equal sections
To solve this problem, use the greatest common divisor, so find the prime factors of both numbers.
18 30 <u>2 </u> Only 2 and three are common factors, then
9 15 <u>3 </u> 2 x 3 = 6
3 5 3
1 5 5
1
The length of the sections will be 6 inches
How many sections will be? in the first 18/6 = 3 in the second 30/6 = 5
total = 8
1:100 could be an example of a ratio comparing to 100