Answer:
Step-by-step explanation:
The inverse function can be found by solving ...
f(y) = x
(√y)/5 +2 = x
(√y)/5 = x -2 . . . . . subtract 2
√y = 5(x -2) . . . . . . multiply by 5
y = 25(x -2)² . . . . . square both sides
The inverse function is ...
_____
<em>About the graph</em>
The inverse of a function is its mirror image across the line y = x.
Answer:
2233000x
Step-by-step explanation:
The effective rate is calculated in the following way:
where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
