Answer:
14(y + 2).
Step-by-step explanation:
32 +2/3(21y - 6)
Distributing the 2/3 over the parentheses:
= 32 + 2/3*21y + 2/3 * -6
= 32 + 14y - 4
= 14y + 28
= 14(y + 2).
Two digits after the decimal point it the hundredths place
so we want to round to the place 4 is in
The number after 4 is 2, so we will round down
We will get 0.24
Answer:
11.0 years
Step-by-step explanation:
The exponential function describing the population growth can be written ...
population = (initial population)×(1 +growth rate)^years
If t represents the number of years, we can fill in the values to get ...
18500 = 12000×1.04^t
Dividing by 12000 gives ...
18500/12000 = 1.04^t
Taking logarithms, we have ...
log(18500/12000) = t×log(1.04)
t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0
It will be 11.0 years until the population reaches 18,500.
Answer:
17.1972degrees
Step-by-step explanation:
length of an arc = theta/360 * 2πr
Substitute the given angle;
1.2 = theta/360 * 2(3.14)(4)
1.2 = theta/360 * 25.12
1.2/25.12 = theta/360
0.04777 = theta/360
theta = 360 * .04777
theta = 17.1972
Hence the required angle is 17.1972degrees
The perimeter of the rectangle is 64