Answer:
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Step-by-step explanation:
Given
Volume of a box = length × breadth × height= l×b×h
In this case the box have a square base. i.e l=b
Volume V = l^2 × h
The surface area of a square box
S = 2(lb+lh+bh)
S = 2(l^2 + lh + lh) since l=b
S = 2(l^2 + 2lh)
Given that the box is open top.
S = l^2 + 4lh
And Surface Area of the box is 1200cm^2
1200 = l^2 + 4lh ....1
Making h the subject of formula
h = (1200 - l^2)/4l .....2
Volume is given as
V = l^2 × h
V = l^2 ×(1200 - l^2)/4l
V = (1200l - l^3)/4
the maximum point is at dV/dl = 0
dV/dl = (1200 - 3l^2)/4
dV/dl = (1200 - 3l^2)/4 = 0
3l^2= 1200
l^2 = 1200/3 = 400
l = √400
I = 20cm
Since,
h = (1200 - l^2)/4l
h = (1200 - 20^2)/4×20
h = (800)/80
h = 10cm
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Answer:
(a) 0.0128 to 4 decimal places
(b) The 90% confidence interval is 119.1 < μ < 121.0 to 1 decimal places
Step-by-step explanation:
See the attached documents and graphs. Cheers!
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark">
pdf
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Since there are 120 payment and the total interest paid was
$ 14,644.95. so the average monthly interest can be calculated by:
Average monthly interest = $ 14,644.95 / 120
Average monthly interest = $ 122.04
% total interest = ($ 14,644.95) / $ 39,644.95 x 100
% total interest =36.94 %
Answer:
A
Step-by-step explanation:
sin(60) can be simplified into sqrt(3)/2.
