Answer:
In year 1986 the average cost of car is $12,000
Step-by-step explanation:
Cost function:
C = 30.5t² + 4192
Cost = $12,000
Find:
Year
Computation:
C = 30.5t² + 4192
12,000 = 30.5t² + 4192
t = 16 year
So,
Year 1970 + 16 year
1986
So, In year 1986 the average cost of car is $12,000
Answer:
L(x) = 11 - 2x
W(x) = 8.5 - 2x
V(x) = 4x³ - 39x² + 93.5x
Step-by-step explanation:
If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.
FORMULA FOR LENGTH:
Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:
<u>L(x) = 11 - 2x</u>
FORMULA FOR WIDTH:
Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:
<u>W(x) = 8.5 - 2x </u>
FORMULA FOR VOLUME:
Volume is the product of length, width and time:
V(x) = L(x)*W(x)*H(x)
Height must be equal to the side folds which are equal to length of the side of square = x:
H(x) = x
Therefore,
V(x) = (11 - 2x)(8.5 - 2x)(x)
V(x) = (93.5 -22x -17x + 4x²)(x)
<u>V(x) = 4x³ - 39x² + 93.5x</u>
The baker definitely is in hit
Answer:
72 cm3
Step-by-step explanation:
area of triangle is 1/2 base x height
1/2 (3 x 4) = 6
6 x 12 (height) = 72
