Greg started with a certain number of quarters. He then decided on a number of quarters he would save each day. He added the qua
rters he saved to the amount with which he started. At the end of day 2, Greg had a total of 26 quarters saved. At the end of day 5, he had a total of 35 quarters saved.
A. How many quarters does Greg start with? Show or explain your work.
B. Write an equation to model the number of quarters Greg has saved, y, after x days.
C. Using the rate at which Greg is saving, explain why he can never have exactly 100 quarters saved by the end of any given day.
A. How many quarters does Greg start with? Show or explain your work.
B. Write an equation to model the number of quarters Greg has saved, y, after x days.
C. Using the rate at which Greg is saving, explain why he can never have exactly 100 quarters saved by the end of any given day.
1 answer:
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SOLUTION:
Step 1 :
In this question, we are told that a marketing research company needs to estimate the average total compensation of CEOs in the service industry.
We also have that: Data were randomly collected from 38 CEOs and the 98% confidence interval was calculated to be ($2,181,260, $5,836,180).
Then, we are asked to find the margin error for the confidence interval.
Step 2:
We need to recall that:
It means that:
where,
putting the values into the equation for the margin of error, we have that:
CONCLUSION:
The margin error for the confidence interval is 1, 827, 460
Answer: 20 feet by 20 feet.
Step-by-step explanation:
1. You know that is the original measure of one side. Since it is a square, all its sides are equal.
2. Therefore, to solve the problem you only need to solve for , as you can see below:
- You have that:
- Then, you obtain the following quadratic equation:
- Apply the Quadratic formula to solve it:
- Then, you obtain:
3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.