Step-by-step explanation:
sorry..by any chance if my answer is incorrect
Answer:
width of one box = 1.25 inches
Step-by-step explanation:
Given data:
12 congruent boxes
Length = 25 inches
height = 2 feet
Volume = 9000 cubic inches
First change the height into inches
1 foot = 12 inches
therefore 2 feet = 24 inches
Volume = Length * width * height
9000 = 25 * width * 24
9000 = 600 * width
width = 9000/600
width = 15 inches
width of one box = width of all boxes / number of boxes
width of one box = 15/12
width of one box = 1.25 inches
Answer:
12%
Step-by-step explanation:
let x represent the actual number of members last year.
current members = 675 and with an increment of 13% over previous year
to find the increment
(675 - x) / x = 0.13
675 - x = 0.13x
collect the like terms
675 = 0.13x + x
675 = 1.13 x
x = approx 597 members were there last year
its hope to increase by the same number next year
percent increase = 675 - 597 / 675 = 78 / 675 = 0.12 = 12%
C(x) should be ;
C(x)=0.9x² - 306x +36,001
Answer:
$9991
Step-by-step explanation:
Given :
C(x)=0.9x^2 - 306x +36,001
To obtain minimum cost :
Cost is minimum when, C'(x) = 0
C'(x) = 2(0.9x) - 306 = 0
C'(x) = 1.8x - 306 = 0
1.8x - 306 = 0
1.8x = 306
x = 306 / 1.8
x = 170
Hence, put x = 170 in C(x)=0.9x²- 306x +36,001 to obtain the
C(170) = 0.9(170^2) - 306(170) + 36001
C(170) = 26010 - 52020 + 36001
= 9991
Minimum unit cost = 9991
