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
Answer:
y=x+5
Step-by-step explanation:
if y is the total cost then the equation y = x +5 where x is the miles driven and $5 is the initial cost would accurately represent the cost of your cab ride.
We are given the bounds of x so after calculation
144 is the answer
She is paid every OTHER week.....so she is gonna get paid : 52/2 = 26 times
26(2633.65) = 68474.90
plus she gets a bonus of 10% of her yearly salary
68474.90 (1.10) = 75322.39 rounds to 75322 <===
