Answer:
$3780
Step-by-step explanation:
Salary per month = $10500
Expense on food
= 36% of the monthly salary
= 36% of $10500
= (36/100) × $10500
= 36 × $105
= $3780
So, they spend $3780 on food per month.
Answer:
P is exactly 3km east from the oil refinery.
Step-by-step explanation:
Let's d be the distance in km from the oil refinery to point P. So the horizontal distance from P to the storage is 3 - d and the vertical distance is 2. Hence the diagonal distance is:

So the cost of laying pipe under water with this distance is

And the cost of laying pipe over land from the refinery to point P is 400000d. Hence the total cost:

We can find the minimum value of this by taking the 1st derivative and set it to 0

We can move the first term over to the right hand side and divide both sides by 400000


From here we can square up both sides






d = 3
So the cost of pipeline is minimum when P is exactly 3km east from the oil refinery.
Answer:
IQR is 3.5
Step-by-step explanation:
<u>Step 1: Organize the numbers in numerical order</u>
0,0,2,2,3,4,6,8
<u>Step 2: Break the set up into quartiles (4 parts)</u>
0 0 | 2 2 | 3 4 | 6 8
<u>Step 3: Find the average of each quartile</u>
0 | 2 | 3.5 | 7
<u>Step 4: Find the IQR (Q3-Q1)</u>
3.5-0=3.5
Therefore, the IQR is 3.5