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.
4a²b⁴ - 25x⁶y⁴
(2ab²)² - (5x³y²)²
= (2ab² + 5x³y²)(<span>2ab² - 5x³y²) By difference of two squares</span>
Step-by-step explanation:
= -√1
= -1
= √1
= 1
Difference -√1 and √1 are the sign of the number, where -√1 is negative and √1 is positive
Answer:

Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be
.
In any triangle, the Law of Sines is given by
.
Therefore, we have:


2 x 2/9 Will Be Less Than 2