1] Given that the value of x has been modeled by f(x)=12500(0.87)^x, then:
the rate of change between years 1 and 5 will be:
rate of change is given by:
[f(b)-f(a)]/(b-a)
thus:
f(1)=12500(0.87)^1=10875
f(5)=12500(0.87)^5=6230.3
rate of change will be:
(6230.3-10875)/(5-1)
=-1161.2
rate of change in years 11 to 15 will be:
f(11)=12500(0.87)^11=2701.6
f(15)=12500(0.87)^15=1,547.74
thus the rate of change will be:
(1547.74-2701.6)/(15-11)
=-288
dividing the two rates of change we get:
-288/-1161.2
-=1/4
comparing the two rate of change we conclude that:
The average rate of change between years 11 and 15 is about 1/4 the rate between years 1 and 5.
The answer is D]
2] Given that the population of beavers decreases exponentially at the rate of 7.5% per year, the monthly rate will be:
monthly rate=(n/12)
where n is the number of months
=7.5/12
=0.625
This is approximately equal to 0.65%. The correct answer is A. 0.65%
Step-by-step explanation:
without seeing a picture I'm guessing 45 45, and 90
Answer:
2:30 pm
Step-by-step explanation:
In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.
From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.
<em>The husband has to catch up 90 miles. How long would it take if he is catching up at 20 miles an hour?</em>
<em>90/20 = 4.5 hours</em>
<em />
<em>So husband starts at 10am and 4.5 hours form that time is 2.30pm</em>
Answer:
-5x + 0y = -11
The y terms are eliminated
Step-by-step explanation:
- 4x – 2y = -2
X - 2y = 9
We want to subtract the second equation from the first
Distribute a minus sign to all the terms in the second equation
- 4x – 2y = -2
X - 2y = 9
= (-5x + 0y = -11)
Answer:
ll and lll only
Step-by-step explanation:
D i believe is the right answer