Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Answer: 4x + 6y >/ 50
Step-by-step explanation:
The answer is A. 4x + 6y is greater than or equal to 50
Complete Question
Table of Annual CPI values
2003-184.00
2004-188.90
2005-195.3
2006-201.6
2007-207.342
2008-215.303
2009-214.537
2010-218.056
2011-224.939
2012-229.594
2013-232.957
2014-236.736
QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?
Answer:
Step-by-step explanation:
From the question we are told that
CPI for 2003(index)=2003-184.00
CPI for 2013(index)=2013-232.957
Starting salary in 2013 at $34,862
Generally comparable starting salary C is given as
Therefore C the comparable starting salary is givrn to be
Answer:
Step-by-step explanation:
y>x+1
Answer: $3.68
Step-by-step explanation:
22.10 divided by 6 is 3.6833333 repeating. round it to $3.68
