Answer:
1, 3
Step-by-step explanation:
1. x > x
Technically, one number cannot be more than itself. It can only equal to itself.
3. –4 + x > –2 + x
If you minus x from both sides of the equation, it becomes:
-4 > -2
This is not true no matter what x is, thus it has no solution.
4. x – 2 < x + 3
If you add 2 on both sides, it becomes:
x < x + 5
This inequality is possible and has infinitely many solutions.
Note: I will update this answer and address Question 2 once the inequality sign is given :)
Answer:
a) $926.40
b) $606.32
Step-by-step explanation:
a)
If she worked a total of 45.5 hours, she will receive $19.20 per hour in the first 40 hours and 1.5 * $19.20 for the exceeding 5.5 hours, so her earnings is:
19.2 * 40 + 1.5 * 5.5 * 19.2 = $926.40
b)
The deduction is $34.75, so the remaining will be:
926.40 - 34.75 = $891.65
Then, after this deduction, the taxes is 32% of the remaining, so:
891.65 - 0.32 * 891.65 = $606.32
She received $606.32
Count by 10s after 27 so continue with 37, 47, 57 until you get past at least 100, which should be 8 times. Therefore it would take 8 weeks of allowance to reach $107
Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)
The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.


We can then find the exact value of the sum:




So the answer is B.