Answers:
Domain =
Range =
=============================================
Explanation:
The domain is the set of allowed x value inputs. We note that the left-most point is when x = -5, and this point has a closed or filled in endpoint, so we're including this x value in the domain.
The left piece has its other endpoint at x = -2, so the interval is part of the domain. We write that as is part of the domain's answer. The other part is . We include x = 1 but exclude x = 5 as there's a hole here.
Use the union symbol to glue the two intervals together and we end up with as the full domain.
----------------------------
The range is the set of possible y values. The lowest point is when y = -4, but we exclude this endpoint since there's an open hole here. The highest point is when y = 4. The range is which we write as
Since there are no gaps in the range, we don't use any union symbols here. Any y value between -4 and 4 is possible, other than y = -4 itself.
To get the smallest amount one can invest in 3 years at a rate of 5% to obtain £8000 we use the compound formula given by:
A=p(1+r/100)^n
where:
A=future amount
p=principle
r=rate
n=time
From the question:
A=£8000, r=5%, n=3
thus plugging the values in the formula and solving for p we get:
8000=p(1+5/100)6n
8000=1.157625p
thus
p=6910.700
Hence the smallest amount is £6910.70~£6910
Answer:
Yes, the graph represents a proportional relationship. No, the graph does not represent a proportional relationship. It is a straight line, but it does not intersect the point (0, 0).
answer=1/4
explanation ; 6divided by 3/8=0.25 which is equal to 25/100 or 25 divides 25 once and divides 100 4 times giving 1/4