Answer:
The zeros are (-5,0) and (4,0)
Step-by-step explanation:
Answer:
P(t) = 20.7e^0.0087816t
Step-by-step explanation:
Given that :
Initial population ; Jan 1, 2000 = 20.7 million
Current population ; Jan, 2010 = 22.6 million
A function of the form P(t)
Where t = time
Usingbthe exponential growth function :
P(t) = Poe^rt ;
P(t) = population at a time after the initial population figure
Po = initial population
r = growth rate
t = time in years
P(t) = population in 2010 = 22.6 million
Po = population in 2000 = 20.7 million
t = 10 years
22.6 = 20.7e^r * 10
22.6 = 20.7e^10r
22.6 / 20.7 = e^10r
1.0917874 = e^10r
Take the In of both sides
In(1.0917874) = 1n(e^10r)
0.0878162 = 10r
r = 0.0878162 / 10
r = 0.0087816
Hence,
P(t) = 20.7e^0.0087816t
Step-by-step explanation:
For this problem, we can simply plug in the coordinate point into the given formula.
(-8, 6) = (-8 + 5, 6 - 4)
(-8, 6) = (-3, 2)
So, A' is at point (-3, 2)
Now, we have to find the distance from A to A'. We can use the distance formula.
So, the distance between A and A' is about 6.4 units.
Answer:
Step-by-step explanation:
Let b
Bill's rate of travel = x
Let Julie's rate of travel = 3x
The time each travels is 2.5 hours
Together they travel a distance of 190 miles
d = r*t
Bill's distance covered is r * t = 2.5x
Julie's distance travel is 2.5 * 3x = 7.5x
The total distance = Bill + Julie
2.5x + 7.5x = 190
10x = 190
x = 190/10
x = 19
Bill's distance = 2.5 * 19 = 47.5
Julie's distance = 19 * 7.5 = 142.5
Rate = distance / time
Bill's rate = 47.5 / 2.5 = 19 miles per hour.
Julie's rate = 142.5/2.5 = 57 miles per hour
Is there an easier way?
You should notice that Bill's rate is just x which is 19 miles / hour
You can also notice that Julie is going 3 times as fast or 19*3 = 57
