Answer:
$ 327.08
Step-by-step explanation:
Let x = width of the container,
Then Length of the container = 2x
Let h = height of the container,
volume of the container can be calculated as length × width × height
= 2x × x × h
= 2x² h
Then we can say Volume =
= 2x² h=10
If we simplify inorder to get h
We have h= 5/x²
Then the area= (2L×h) +(2xh)
Where L is lenght
x= wish
h= height
= 2× 2x × h+ x× h
= 4x× 5/x + 2x × 5/x
Area = 30/x
Now, the area of the base = length × width
But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter
Then the cost C(x)= 2x²× 20+30/x ×12
C(x)= 40x²+35/x²
If we differenciate wrt x we have
C(x)= 80-360/x²
If we equate C(x)=0the
80=360/x²
x= 1.651
If substitute to C(x)= 40x²+35/x²
C(x) = 40(1.651)² + 35/(1.651)²
We have cost= 327.08
T = 40000 + 40000(1.03) + 40000(1.03)^2 + ... + 40000(1.03)^15
Multiply the above equation by 1.03 giving
1.03(T) = 40000(1.03) + 40000(1.03)^2 + 40000(1.03)^3 + ... + 40000(1.03)^15 + 40000(1.03)^16
Now subtract the first equation from the second to give
0.03T = 40000(1.03)^16 - 40000
0.03T = 40000(1.03^16 - 1)
0.03T = 24188.26
T = 24188.26 / 0.03 = $806275.25
K=2
- A'=2(2.5)=(4,10)
- B'=2(1,2)=(2,4)
- C'=2(3,1)=(6,2)
Translation of 2 units left means change in x
- A''=(4-2,10)=(2,10)
- B"=(2-2,4)=(0,4)
- C"=(6-2,2)=(4,2)
Translation of 1 units up means change in y
- A'''=(2,10+1)=(2,11)
- B'''=(0,4+1)=(0,5)
- C'''=(4,2+1)=(4,3)
6.974 rounded to the nearest tenth is 7.0, because 7 is more than 5, and since 9's there, we make that 6 to a 7.
Alrighty.
First we need to make them all simplified.
So simplified would be
times
times
.
Then we multiply the numerator and the denominator. The final answer is
Simplified is
