We have a bunch of rectangles making up the lateral sides of this figure. They have side length 12 and height 13.
So the area of one rectangle is 12 x 13 = 156.
We have 6 of these rectangles, so our lateral area is 6(156) = 936.
The total surface area requires that we include the area of the base. To find the area of a regular polygon we take half of the product of the apothem and perimeter.
A = (1/2)*a*p
The apothem is given to be 10.39,
and the perimeter is fairly easy to calculate:
With the side length being 12, the perimeter is then 6(12) = 72.
So then the area of our base is (1/2)*10.39*72 = 374.04
So then the total surface area is the (base area) + (lateral area),
374.04 + 936 = 1310.04
550 * 1.03 = 566.5 (Year 1)
566.5 * 1.03 = 583.495 (Year 2)
583.495*1.03 = 600.99985 (Year 3)
You can safely assume this is your answer: $601.00
Answer:
Step-by-step explanation:
The y-intercept is where x is 0 (0,y)
The x-intercept is where y is 0 (x,0)
Insert 0 as the value for x to find the corresponding y value:
Simplify multiplication:
Isolate the variable. Divide both sides by 4:
Make the variable positive. Multiply both sides by -1:
The y-intercept is at 
.
Insert 0 as the value for y to determine the value of x:
Simplify multiplication:
Isolate x. Divide both sides by 5:
Multiply both sides by -1:
The x-intercept is at 
.
:Done
The restaurant can make 39 batches.
1,275 divided by 32 is 39.84, since you can't make .84 of a batch, the answer is 39.
