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.
2-2n=3n+17
2= 5n+17
0= 5n+15
-15= 5n
-3= n
Answer:
hypotenuse²=base²x height²
Step-by-step explanation:
It is used to find the third side of a triangle.
Hope it helps :)
Answer: 200 meters per minute
Explanation: we know that she can run 100 meters per 30 seconds. the question is asking in terms of minutes, however. we have to convert the seconds into minutes. How many minutes is 30 seconds? well, 60 seconds are in a minute so 30 seconds are in half a minute. 30 seconds = .5 minutes.
Now, we have to find how many meters she runs per minute. this means how many meters she runs in one minute. we create a proportion:
100 meters/ .5 minutes = x meters / 1 minute
we cross multiply to get 100 = .5x
then, we simplify by dividing each side by .5 which equals
200=x
...every number between 1 and 50 is an integer
