Answer:
The two numbers are 36 and 9
Step-by-step explanation:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
We know that: n <44, 48
Let's try some values:
45 - 40 = 4
45- 36 = 9
45- 28 = 17
45- 24 = 21
Pattern: The lesser a natural numer's absolute value, the greater [larger number] it produces. (Bold = "larger numbers")
We recognize something: 36 + 9 = 45 and 36 is exactly 4 times greater than 9.
The question is:
In each of the following examples, a consumer purchases just two goods: x and y. Based on the information in each of the following parts, sketch a plausible set of indifference curves (that is, draw at least two curves on a set of labeled axes, and indicate the direction of higher utility). Also, writedown a utility function u(x, y) consistent with your graph. Note that although all these preferences should be assumed to be complete and transitive (as required for utility representation), not all will be monotone.
(a) Jessica enjoys bagels x and coffee y, and consuming more of one makes consuming the other more enjoyable.
(b) Plamen loves mocha swirl ice cream x, but he hates mushrooms y.
(c) Jennifer likes Cheerios x, and neither likes nor dislikes Frosted Flakes y.
(d) Edward always buys three white tank tops x for every pair of jeans y.
(e) Nancy likes both peanut butter x and jelly y, and always gets the same additional satisfaction from an ounce of peanut butter as she does from two ounces of jelly.
Step-by-step explanation:
The utility functions consistent with the graphs are:
(a) u(x, y) = xy
(b) u(x, y) = x - y
(c) u(x, y) = x
(d) u(x, y) = min(x, 3y)
See attachments for the graphs.
Answer:
$280.08
Step-by-step explanation:
Each van carries 13 students and each bus carries 25 students.
<h3><u>Distribution</u></h3>
Given that the senior class at High School A and the senior class at High School B both planned trips to Yellowstone, and the senior class at High School A rented and filled 5 vans and 2 buses with 115 students, while High School B rented and filled 1 van and 6 buses with 163 students, and each van carried the same number of students and each bus carried the same number of students, to determine the number of students in each van and in each bus, the following calculation must be made:
- 5X + 2Y = 115
- 1X + 6Y = 163
- 5X + 2Y = 115
- 5X + 30Y = 815
- 815 - 115 = 28Y
- 700 = 28Y
- Y = 700 / 28
- y = 25
- 1X + 6x25 = 163
- 1X = 163 - 150
- X = 13
Therefore, each van carries 13 students and each bus carries 25 students.
Learn more about distribution in brainly.com/question/14310262
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Answer:
He was going 25 miles over the speed limit.
Step-by-step explanation:
250 miles in 2.5 hours is 250/2.5. That equals 100
100-75=25