Answer:
C
Step-by-step explanation:
Answer:
4.4
years corresponding to 4 years and 5 months (more or less)
Step-by-step explanation:
Let us set
P
=
25
we get:
25
=
8
e
0.26
t
rearrange:
e
0.26
t
=
25
8
take the natural log of both sides:
ln
[
e
0.26
t
]
=
ln
[
25
8
]
simplify:
0.26
t
=
ln
[
25
8
]
t
=
1
0.26
ln
[
25
8
]
=
4.38
≈
4.4
years corresponding to 4 years and 5 months (more or less)
Answer:

Step-by-step explanation:
We have the angle in standard post has a sine ratio of

This means the opposite side length of the corresponding right triangle is 9 units and the hypotenuse is 41 units.
Using Pythagoras Theorem, the adjacent side length can be found using:

This implies that:




The cosine ratio is adjacent over hypotenuse.

Since we are in the second quadrant, the cosine ratio is negative;

F(x) = 9x + 5
y = 9x + 5
9x = y - 5
x = (y - 5)/9
f^-1(x) = (x - 5)/9
f^-1(x) is a function.