Since the limit of f(x) is non-zero, the limit distributes over the quotient and

Answer:

Step-by-step explanation:
We are given the following function in the question:

We have to graph this function.
Properties of given function are:
- e is a constant and have a value of e = 2.718281828....
- The function does not pass through origin
- At x = 0, f(x) = 4
- The domain for the given function is all real numbers.
- The range of the given function is

The attached image shows the graph for given function.
An atm personal identification number (pin) consists of four digits, each a 0, 1, 2, . . . 8, or 9, in succession.
a. How many different possible pins are there if there are no restrictions on the choice of digits?
Solution: The are total 10 numbers between 0 and 9.
Also there are no restrictions on the choice of digits. Therefore, the possible number of different PINs is:


Therefore, there are 10,000 different possibles PINs.
Answer:
<u>The additional 1.3% of increase in the annual interest rate that Jack is receiving in his savings account, from 2.8% to 4.1%, represent an increase of 46.42%.</u>
Step-by-step explanation:
Jacks's savings account annual interest rate before = 2.8%
Jacks's savings account annual interest rate after the increase = 4.1%
Difference of the two rates = 4.1% - 2.8% = 1.3%
How much percentage is that additional 1.3% from the rate before the increase?
(1.3 * 100)/ 2.8 = 130/2.8 = 46.42%
<u>The annual interest rate increased by 46.42% from the previous annual interest rate.</u>
Answer:
x=35
y=72.5
Step-by-step explanation:
y=(180-35)/2
y=145/2
y=72.5