<span>Answers:
V = (15-2x)(8-2x)x
V = 120x -46x²+ 4x³
V' = 120 -92x + 12x²
0 = 120 -92x + 12x²
x = (92±52)/24
x = 6 or 5/3
Pick x = 5/3
Volume = (15-2*5/3)(8-2*5/3)*5/3
= 90.74 inÂł
To justify x = 5/3 is the max
V" = -92 + 24x
V"(5/3) = -92 + 24(5/3) <0 negative.
Volume V(5/3) is max because the function is
concave down with V"<0.</span>
First, let's figure how much will 12% discount take off 10,000 dollars worth of goods.
To do that, we can multiply 12 by 10,000 and then divide by 100 to get the discount.
12 x 10,000 = 120,000
120,000/100 = 1,200
The discount for 12% of 10,000 is 1,200 dollars off.
Then, we would subtract that from 10,000.
10,000 - 1,200 = 8,800
After that, we need to solve for the amount taken off 17% of 8,800.
Same thing, multiply 17 by 8,800 and then divide by 100.
17 x 8,800 = 149600
149,600/100 = 1496
Lastly subtract that from 8800.
8800 - 1496 = 7304
Therefore, the final cost of $18,000 worth of appliances is $7,304 plus tax.
Maybe, 150-100=50 on each triangular side. 50*height(80)=4000 divided by 2=2000. 2000 *'s 2, since we have to count the other side. Now, we have 100 left. so top of rectangle,(48 ft) times what's left of height. 48*(80-64=16) 16=768. Which covers the width of the big column, (48) and leftover height. Next, we find out the 2 left columns, one on each side of rectangle. Find area of rectangle, (what's left) 100. 100*80=800. 800- area of rectangle. Area of rectangle= 3072. Almost lastly, 4000 plus 800= 4800, then, 4800-3072=1728. I believe that the correct answer for the area of the lawn is 1,728 feet.
Answer:
25
Step-by-step explanation:
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