Answer:
Height: 3/2 inches
Length: 12 inches
Width: 4 inches
Step-by-step explanation:
Let x is the side length of the square
The height of the box by cutting squares off :x
- The new length of the cardboard = 15 -2x (because we cut from 4 corners)
- The new width of the cardboard = 7 -2x (because we cut from 4 corners)
The new volume of it is:
V = (15 -2x) (7 -2x) x
<=> V =
To maximum volume, we use the first derivative of the volume
<=> 
<=> 
<=> 2x -3 = 0 or 6x -35 = 0
<=> x = 3/2 or x = 35/6
To determine which value of x gives a maximum, we evaluate
= 24x -88
= 24(3/2) -88 = -52
= 24(35/6) -88 = 52
We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.
So the dimensions (in inches) of the box is:
Height: 3/2 inches
Length: 15-2(3/2) = 12 inches
Width: 7 - 2(3/2) = 4 inches
Answer:
its b
Step-by-step explanation:
it's b yup yup yeah yeah
Answer:
b is the answer trust me i know
Step-by-step explanation:
<u>Solution-</u>
Let's assume, the rate of interest of $8000 is x%,
then the rate of interest of $17000 is (x+0.3x) =1.3x%
Interest earned by $8000,

Interest earned by $17,000,

According to the question,





∴ Rate of interest of $8000 is 1.96% and rate of interest of $17000 is (1.3×1.96) =2.55%
Answer:
-76-43i
Step-by-step explanation:
First expand the multiplied terms
8-3i-(64+64i-24i+24)
8-3i-(64+40i+24)
Simplify
8-3i-64-40i-24
-76-43i