9514 1404 393
Answer:
- 2% growth per year
- 25,000 to start
- 12 years
- 31,706 currently
Step-by-step explanation:
The base of the exponent is (1 +0.02). The value 0.02 = 2% is the growth rate. It is positive, signifying a 2% rate of growth per year. (Negative values would mean decay.)
The number 25000 that multiplies the exponential term is the value of the expression when the exponent is zero. It represents the starting population.
The exponent is said to be in years, so the time is 12 years.
The current population is the value of the expression:
25,000(1.02^12) ≈ 31,706 . . . . current population
9 x ≥ 117
Divide both sides by 9 :
9 x / 9 ≥ 117 / 9
x = 117 / 9
x ≥ 13
hope this helps!
Answer:
0.8762 or 87.62%
Step-by-step explanation:
Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:

Our x value ranges from 10 to 26 therefore let x=10 and we obtain:

If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.
Now let's calculate the z value when x = 26 and so:

Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.
Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:
0.9992 - 0.1230 = 0.8762
or 87.62%
Answer
Midpoint = (3, 5.5)
Step by step explanation
Here we have to use the midpoint formula.
Midpoint = (
)
Here the point A = (-1, 8) and B = (7, 3)
x1 = -1, y1 = 8, x2 = 7 and y2 = 3
Now plug in these values into the formula.
Midpoint = (
= (6/2, 11/2)
= (3, 5.5)
Therefore, the midpoint the line segment AB is (3, 5.5)
Thank you.