Answer:
Approximately
7.5
hours
Step-by-step explanation:
Explanation:
We are trying to determine the value of
h
in the compound growth formula
XXX
20
×
(
1
+
0.85
)
h
=
2000
or, simplified:
XXX
1.85
h
=
100
Taking the
log
1.85
of both sides:
XXX
log
1.85
100
With the aid of my trusty spreadsheet:
XXX
h
≈
7.48582192
60 - 18 = 42
42/60 x 100 - 70%
To check this do 0.7 x 60 (which gets you 18, so it is right)
137x!
When combining like terms, variables do not matter unless they are different!
In calculus, we use derivatives to find the instantaneous rate of change at any point on a graph. To find the average rate of change, we just find the slope of the secant line that intercepts two points on the graph.
We find slope with the following equation:

In this case, we are looking for the slope from x = -1 to x = 1. We have both x values, so next we need the y values.
F(-1) = (-1)^2 - (-1) - 1 = 1
F(1) = (1)^2 - (1) - 1 = -1
Now plug in the x and y values to find the slope:
The answer is -1.