Answer:
About what?
Step-by-step explanation:
Any graph will represent a function if it passes the vertical line test. A graph is a function if for any vertical line drawn it touches the graph at only one point.In other words for every x there is only one y value.
In the given graphs if a vertical line is drawn in the graphs A,B it will touch the graph at two points and hence they are not unctions.Option c s a vertical line that is for one x value there are more than one value of y and so is not a function.Option D will represent a function as any vertical line drawn will touch the graph at only one point.
OPtion D.
Answer:
It'll take 10.6638 years to double his money.
Step-by-step explanation:
Since the invested capital is compounded continuosly we need to use the apropriate formula shown below:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the rate of interest and t is the total time elapsed. In this case we want to double our investment, since the amount invested was 2800, then we need to have a final value of 2*2800 = 5600. Applying these values to the formula:
5600 = 2800*e^(0.065*t)
2800*e^(0.065*t) = 5600
e^(0.065*t) = 5600/2800
e^(0.065*t) = 2
ln(e^(0.065*t)) = ln(2)
0.065*t = ln(2)
t = ln(2)/0.065 = 10.6638 years
It'll take 10.6638 years to double his money.
Answer:
Below in bold.
Step-by-step explanation:
a. Distance = speed * time
d = st
So substituting in the given values:
d = 9t where t is the time it takes to travel from the hive to the flowerbed.
The total time that the bee is inflight = 19 - 16 = 3 minutes
= 180 seconds.
So for the return flight the time taken is (180-t) seconds.
So d = 6(180 - t).
and we can find the distance from the hive to flowerbed by solving the the 2 equations highlighted.
b, d = 9t
d = 6(180 - t).
Therefore:
9t = 6(180 - t)
9t = 1080 - 6t
9t + 6t = 1080
15t = 1080
t = 72 seconds
So Distance d = 9*72
= 648 ft.
c. d = 9t.
