Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length = 
Base area = lb
= 
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24
Now, cost is
now we have to minimize C(x)
So, we need to compute the C'(x)
C"(x) 
now for the critical points, we will solve the equation C'(x) = 0
So, x is a point of minima that is
= 
Now, Base material cost is
= 139.75
Side material cost is
= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
Answer:
-16x + 5
Step-by-step explanation:
-8x + 40 -8x - 35
Collect like terms
-8x - 8x + 40 - 35
= - 16x + 5 or 5 - 16x
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Answer:
There will be 200 teddy bears.
Explanation:
Please check the picture attached!
I hope this helps!
Answer:
$1,065,597.22
Step-by-step explanation:
Simple interest = Principal * Rate * Time/100
10,510 = P * 12 * 30/365*100
10,510*365*100 = 360P
383,615,000 = 360P
Note that the time was converted to years by dividing by 365
P = 383,615,000/360
P = $1,065,597.22
Hence the principal is $1,065,597.22
<h2>
Hello!</h2>
The answer is: 50% (0.5)
<h2>
Why?</h2>
Exponential growth equations are use to predict the growth (in function of time) using proportional information.
We can calculate the exponential growth using the following formula:
Where,
S, is the starting value
r, is the growth rate
t, is the time
So, we are given the function:
Where,
f(t), is the function,
3, is the starting value (lb)
0.5 (50%) is the growth rate
nt, is the time elapsed.
Hence,
From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.
We can turn the growth rate given in real numbers to percent value by multiplying by 100
So, the growth rate is 50%.
Have a nice day!
