500 is what you already have if it grows 2.75% a month you multiply it by the month and add it to 500
500+2.75%m
Since f(x) = 2x - 1, all you need is to replace x with (a+h)
So f(a+h) = 2(a+h) - 1 = 2a + 2h - 1
Answer is D
Step-by-step explanation:
Part A
A) The denominator is 665, so this is a terminating decimal.
B) 11/99 = 1/9 = 0.1111...
C) 256/999 = 0.256256256...
D) 25/909 = 275/9999 = 0.027502750275...
B has 1 repeating digit, C has 3 repeating digits, and D has 4 repeating digits. So the correct answer is C.
Part B
A decimal that can be written as a ratio of integers is a rational number.
In the table shown below:
Let N be the number of bottles filled,
Let T be the time in hours.
Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

Let's evaluate the value of k for each day.
Thus, on monday,

Tuesday:

Wednesday:

Thursday:

It is observed that all exept wednesday have the same value of k.
Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.