Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression
It is the last numbers I'm positive
Answer:
-8x + 12
Step-by-step explanation:
Distribute -4 to the parentheses:
-4(2x - 3)
-4(2x) = -8x
-4(-3) = 12
-8x + 12
Let us assume the width of the rectangle = w
Let us assume the length of the rectangle = l
Then
l = 2w
Also
Perimeter of the rectangle = 2 (l + w)
24 = 2 (2w + w)
24 = 2 (3w)
24 = 6w
w = 24/6
= 4 inches
Now
The length of the rectangle = 2w
= 2 * 4 inches
= 8 inches
So the length of the rectangle is 8 inches and the width is 4 inches.