Expand the binomial (2x^2+y^2)^4. Fill in the missing coefficients in the expansion of the binomial .
1 answer:
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<h3>The total money earned by Rita on Monday = $158</h3>
Step-by-step explanation:
The rate by which Rita is paid first 8 hours = $16
The next per hour rate after 8 hours = times the usual rate.
Now, 1.5 times $16 = 1.5 x 1 6 = $24
So, for each hour worked after 8th hour, Rita is paid $24 per hour.
Now, the intervals she has worked are:
(a) from 8:15 to 12: 45 pm
So, the number of hours worked = 45 minutes + 45 minutes + 3 hours
= 4 hours 30 minutes .... (1) (as 60 minutes = 1 hour)
(b) break of 45 minutes after 12: 45 = 12: 45 + 45 minutes
= 12 hour 90 minutes = 1 : 30 P M
So, she started working at 1: 30 and worked till 6: 15
So, the number of hours worked = 30 minutes + 15 minutes +4 hours
= 4 hours 45 minutes .... (2)
So, by adding (1) and (2) the total hours worked by Rita
= 4 hours 30 minutes + 4 hours 45 minutes
= 8 hours 75 minutes = 9 hours 15 minutes
9 hours 15 minutes = ( 8 + 1 .25 ) ( 15 minutes = 0.25 of an hour)
So, the payment is ( 8 x (16) + 1.25 (24) )
= 128 + 30 = 158
Hence, the total money earned by Rita = $158
(a) Animals by popularity; Dogs, Cats, Others, Horses.
(b) If 250 students were interviewed, 20 students have other pets.
(c) No, it was incorrect.
Step-by-step explanation:
Step 1; We arrange the different pets in chronological order, from the highest percent to the lowest percent;
1. Dogs - 67%,
2. Cats - 20%
3. Others - 8%,
4. Horses - 1%.
None is not included in this list.
Step 2; If 250 students were interviewed, 8% of those have other pets. So we need to calculate how much 8% of 250 is.
8% of 250 = × 250 = 0.08 × 250 = 20.
So 20 students had other pets.
Step 3; 20% of the interviewed students had cats. If 75 students had cats, we need to equate 20% to the 75 and find out how many students were actually interviewed.
20% × x = 75, 0.2 × x = 75,
x = = 375.
So if 375 students were interviewed, 75 students would have cats. So the estimate of 250 students being interviewed is incorrect.