Answer: Graph 10 and 12 are both functions while graph 13 is not a function
Step-by-step explanation: The best way to know if the graph is a function is by the vertical line test, if the points on the graph pass through the straight vertical line more than once, it is not a function, but if it passes though the line only once then it is a function. Now for the Domain and range, the best way to see it is as DomainX and RangeY, this is something I learned when I did functions, and it helped me a lot. Now if you look at 10 and 12, both go on infinitely, as they have no stopping point, meaning that the domain would be (-infinity, infinity), and for 13 you can simply put the coordinates for each point in a chart, with your X and Y, remember DomainX and RangeY, this should help you understand which is X and which is Y. I hope this helped a bit. Now for RangeY, for 10, look for the lowest number in the Y axis that the line goes, for this case its, -1, and then look for the highest number on the Y axis that the line goes, aka 3, now use this as a example and you can easily find 12's Range.
You and your 4 other friends who rent a house owe $-50 for their water bill.They decide to split the cost of the water bill up amongst all of them.How much wil each of them owe?
Answer:
1041
Step-by-step explanation:
Among the numbers 1–1000, there are 31 squares, so the sequence will extend to at least 1031. In those added numbers, there is another square (1024), so the sequence must extend to at least 1032.
There are 7 more numbers that are cubes, but not squares, so the sequence must extend to at least 1039.
And there are 2 additional numbers that are 5th powers that are not squares or cubes. Compensating for the removal of these numbers extends the end of the sequence to 1041.
There are no numbers in this range that are both cubes and 5th powers and that have not already been accounted for. (The only 15th power is 1.)
Hence, the 1000th number in the sequence is 1041.
_____
This result is verified by a computer program that listed the numbers.
Answer:
10.153 years
Step-by-step explanation:
The future value of such an investment is given by ...
FV = P·(1 +r/12)^(12t)
where P is the principal invested, FV is the future value of it, r is the annual interest rate, and t is the number of years.
Dividing by P and taking the log, we have ...
FV/P = (1 +r/12)^(12t)
log(FV/P) = 12t·log(1 +r/12)
Dividing by the coefficient of t gives ...
t = log(FV/P)/log(1 +r/12)/12 = log(3000/2000)/log(1 +.003333...)/12 ≈ 121.842/12
t ≈ 10.153 . . . years
I think the answer to this problem is b.
