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%
So the tens place for this number would be the 3 for "30." It wants 3 more in the tens place, so I think it wants you to add 3 tens to make it 60, or a grand total 5,865.87. It's worded a little funny, so if you think it's something else please tell!
1. W=16-4=12
2. X=-12-7=-19
3. W=6+15=21
5. y=-2+9=7
6. q=35/7=5
Both questions 4 and 7 aren’t written correctly!!
Note: Actually, the division problem should be in reverse order. It should be given as 
---------(i)
But according to the given problem (x + 1) / (x² + 3 x + 2).
Here, (x² + 3 x + 2) > (x + 1)
or, (x + 2) > 1
Concept: By using the property of division, if the numerator is less than the denominator then the quotient will always be 0 (zero)
Therefore the option (d) 0 will be the correct option.
Answer:
Three-fifths
Step-by-step explanation:
The number of sections is 5 and the unshaded section is 3 even numbers are 1, 3 and 5. Since 3 is in both cases there are 3 numbers: 1, 3 and 5. So it is three-fifths
