<em><u>Solution:</u></em>
<em><u>The decreasing function is given as:</u></em>
Where,
y is future value
a is initial value
r is decreasing rate in decimal
t is time period
From given,
a = 25000
number of years = x
future value = P
Therefore,
Thus the function is found
Answer:
Please find attached the required inverse of a function chart
Step-by-step explanation:
The inverse of a function is found by reversing the operations of the function
The inverse of the function f(x) = 2·x - 4 is found as follows;
x = 2·x - 4
x + 4 = 2·x
x = (x + 4)/2 = x/2 + 2
Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2
The inverse function is plotted by generating data points as follows;
x
f(x)
0 2
1 2.5
2 3
3 3.5
4 4
5 4.5
6 5
7 5.5
8 6
9 6.5
10 7
11 7.5
12 8
13 8.5
14 9
15 9.5
16 10
We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.
Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of and
Finally, we can use the Pythagorean Theorem to find the length of :