Answer: $1548
Step-by-step explanation:
We are told the normal rate of payment is $36 per hour
and with an excess of 40 hours the pay will be 1 and a half the normal rate(1.5)
And John works for 42hours
For first we know John worked for an excess of 2 hours
And calculating his pay for 40hours of the normal rate that week, we multiply $36 by 40 which will give $1440
Then the extra 2 hours, the new pay rate will be $36 multiplied by 1.5 which will give $54 per hour
And for the extra 2 hours, John will get extra $54 multiplied by 2 which will give $108
Adding both $1440 and $108, we will get $1548
Answer:
No, too many dots to the left of 0.5
And the average proportion is about 0.39, close to 0.4
Step-by-step explanation:
There are way more dots to the left of 0.5 than there are to the right of 0.5
And there are nowhere near enough dots right on 0.5 to make up for that.
So we can tell just from looking that these dots don't average out to 0.5
If you actually count the dots and add up the values of all the dots:
1 x 0.1 = 0.1
3 x 0.2 = 0.6
9 x 0.3 = 2.7
8 x 0.4 = 3.2
6 x 0.5 = 3.0
2 x 0.6 = 1.2
<u>1 x 0.7 </u> = <u>0.7</u>
30 proportions 11.5 Total of All Proportions
11.5/30 = 0.38333333... , a lot closer to 0.4 than to 0.5
Answer:
2/9
Step-by-step explanation:
y2 - y1 / x2 - x1
8 - 6 / 6 - (-3)
2 / 9
= 2/9
Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
(write this in your own words)
Answer: The least number of minutes that he has used his phone in a month is 1248
Step-by-step explanation:
Let m represent the number of minutes that he used his phone in a month.
For his phone service, Michael pays a monthly fee of $16, and he pays an additional $0.04 per minute if use. This means that if he used m minutes in a month, the total cost would be
16 + 0.04m
The least he has been charged in a month is $69.52. This means that
16 + 0.04m ≥ 65.92
0.04m ≥ 65.92 - 16
0.04m ≥ 49.92
m ≥ 49.92/0.04
m ≥ 1248 minutes
