For the answer to the question above,
1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4
2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57
3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65
4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.
5. V = (q -2x) (p - 2x) (x)
Answer: B. 233 (rounded)
Step-by-step explanation:
1: 700/6= 166.6
2: 166.6+166.6=233.332
3 round to 233
Answer:
Compound interest =$14.58
Simple Interest=$14.79
Step-by-step explanation:
Let's assume the interest rate charged on the loan was simple in nature.
-Simple interest is calculated using the formula:
Hence, the simple interest on the loan was $14.79
#If the interest is compound in nature with just one compounding per year:
Hence, the compound interest charged on the loan is $14.58
Answer:
No, It's false.
Step-by-step explanation:
In the long history of the United States, only one president, George Washington, did not represent a political party.
