Answer:
the company should make 2307 muffins before the Average cost reaches $0.25/muffin
Step-by-step explanation:
the total cost of making the muffins is
Total cost = fixed cost + variable cost = $300 + $0.12 / muffin *Q
where Q = number of muffins
the average cost is
Average cost = Total cost / number of muffins = ($300 + $0.12 *Q) / Q = $300/Q + $0.12 / muffin
then for Average cost= $0.25/muffin
$300/Q + $0.12 / muffin = $0.25/muffin
Q = $300 / ( $0.25/muffin- $0.12 / muffin ) = 2307.69 muffins ≈ 2307 muffins ( we are rounding down since we want to find the number before the cost goes below 0.25)
then the company should make 2307 muffins before the Average cost reaches $0.25/muffin
The surface area would be 26.5487 m².
The surface area of a cylinder is equal to the area of the circles at both ends, added to the area of the rectangular portion in the middle. The rectangle in the middle has a width equal to the circumference of the circle and a length equal to the height of the cylinder.
The circumference of a circle is given by C = πd, and the area of the circles is given by A=πr².
Since the height is in meters, we will convert it to cm. 3.5 m = 350 cm.
The diameter is 190 cm, so the radius is 190/2 = 95 cm.
This gives us:
SA = 3.14(190)(350)+2(3.14)(95)²
= 208810 + 56677 = 265487 cm² = 26.5487 m²
If interest is compounded annually, the account balance will be
.. 4400*1.0825^29 ≈ 43,839.13 . . . . dollars
60 minutes is 20% of 300 minutes
1600<2570-125.5x<2000 subtract 2570 from all terms...
-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)
7.73>x>4.54 and x is months since January, and since months can only be integers...
x=[5,7]
So January + 5, 6, and 7 respectively are the three months that satisfy the equation...
June, July, and August.
