Answer:
The least amount is 75 dollars.
The biggest amount is 125 dollars
Step-by-step explanation:
The absolute value function will help us determine a range of possible values since we do not know the exact amount of money.
Defining the function.
Let x be the exact amount of money in my pocket, we can define the equation
And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation. So we can write:
We have a difference inside an absolute value, since we know the difference must be either +25 or -25.
Solving for x
Using the definition of absolute value we have
So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is
Solving for x give us
If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition
Solving for x give us
So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.
Answer:
0
Step-by-step explanation:
f(x) = 2/5(6 - x)²
f(6) = 2/5[6 - (6)]²
f(6) = 2/5(0)²
f(6) = 0
Answer:
X4
Step-by-step explanation:
The answer to your question is <span><span><span>0.494</span>
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Answer:
Problem 4 If the point (2, 2) is in the feasible set and the vertices of the feasible sct are (0,0), (0, 12). (6,18). (14, 16), and (18, 0), then determine the system of linear inequalities that created the feasible set. Show all the work that led you to you answer. (10 points) Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the year, Jack was laid off. To help mect family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years (after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)
Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the 8th year, Jack was laid off. To help meet family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)
