Check the picture.
let the length of a side of each of the squares removed be x.
The box formed will have dimensions: 80-2x, 50-2x, x(the height)
So the volume can be expressed as a function of x as follows:
f(x)=(80-2x)(50-2x)x=
![[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x](https://tex.z-dn.net/?f=%5B4000-160x-100x%2B4%20x%5E%7B2%7D%20%5Dx%3D%284%20x%5E%7B2%7D-260x%2B4000%29x)
so

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions
x=10 and x=33.333
plug in f(x) these values to see which greater:

cm cubed

which is negative because (50-66.666)<0
Answer: 18000 cm cubed
// Input value is usernum.
// This code snippet sums 1 + 3 + 5 + ... + usernum
// The answer is stored in the variable summedvalue.
N = (int) (usernum+1)/2; // maximum number of integers to be summed
int *v = malloc(N*sizeof(int)); // allocate storage for array v
// Calculate the number of loop counts and assign array v..
count = 0;
k = 1;
while (1) {
if (k>usernum) { // do not extend v beyond usernum
break;
}
v(count) = k; // assign an odd integer to v, including usenum
count++;
k += 2; // k is an odd number
if k>usernum { // handle usernum as odd or even
k = usernum;
}
}
n = count; // the size of array v.
// Calculate the sum in a for loop
summedvalue = 0; // initialize summedvalue
for (i=0; i<=n; i++) {
summedvalue += v(i);
}
Answer:
438.453 shares
Step-by-step explanation:
<em>From my understanding, the question says that the shares were increased by 14.814%.</em>
<em>Therefore, we have to calculate the increase</em>
<u>Step 1: Calculate the increase</u>
Previous shares : 381.881
Increase : 14.814%
Increase = 381.881 x 14.814% = 56.572
<u>Step 2: Calculate the new total shares</u>
New shares = 381.881 + (381.881 x 14.814%)
New shares = 381.881 + 56.572
News shares = 438.453
Therefore, the new total shares owned by the stockholder are 438.453 shares.
!!
Answer:
18
Step-by-step explanation:
To find the number, write an algebraic equation with the given information. Let the variable n represent the unknown number.
Now, break it by parts - "three times a number" would be
. The "is" means that it equals something, giving us
. "36 less than 5 times the number" would be subtracting 36 from whatever 5 times the number is:
. So, put it all together and it is
.
Next, solve the equation for n. The answer will be the number.

Thus, the number is 18.