A dust bunny gathers dust at a rate of 11% per week. The dust bunny, Alfred, originally weighed 0.7 ounces. Write an equation th
1 answer:
Alfred is 0.7 ounces at the beginning.
After one week had passed, he is 11% larger. 0.7 * 1.11
After two weeks, the dust bunny's size is once again 11% larger.
0.7 * 1.11 * 1.11, or 0.7 * 1.11².
From here you can see that each week the dust bunny's size multiplies by 1.11. (1 whole plus 11 percent) How many times it is multiplied can be expressed with exponents.
After one week had passed, he is 11% larger. 0.7 * 1.11
After two weeks, the dust bunny's size is once again 11% larger.
0.7 * 1.11 * 1.11, or 0.7 * 1.11².
From here you can see that each week the dust bunny's size multiplies by 1.11. (1 whole plus 11 percent) How many times it is multiplied can be expressed with exponents.
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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