The dimensions that give the maximum area is 5 cm by 5 cm.
Given:
The perimeter of this rectangle is 20 cm, and formula for perimeter is
P= 2(W+L)
P = 20 cm = 2W + 2L.
Then W + L = 10 cm,
or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized.
On substituting the values, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Therefore, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
Learn more:
Answer:
5 cm by 5 cm
Step-by-step explanation:
The perimeter of this rectangle is 20 cm, and the relevant formula is
P = 20 cm = 2W + 2L. Then W + L = 10 cm, or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized. Subbing (10 cm) - L for W, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Thus, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
Answer:
hello your question is incomplete attached below is the missing table
answer = $48700
Step-by-step explanation:
Calculate the total account receivable in each age category
1) not yet due age category
= $4000 + $4000 + $7000
= $15000
2) up to 1 year age category
= $20500 + $7000
= $27500
3) more than 1 year age category
= $6200
therefore the total amount of account receivables = 15000 + 27500 + 6200 = $48700
The aging approach categorizes accounts receivable based on how long they've been due. The bad debt expense is estimated by multiplying the total receivables in each category by the corresponding nonpayment rate. Any excess of calculated bad debt over the existing allowance balance is recorded as bad debt expense for the year.
The aging approach to estimating bad debt involves assessing the likelihood of nonpayment of each debt based on how long it has remained due. In this scenario, Blue Skies Equipment Company has categorized its accounts receivables into three groups: not yet due, up to one year past due, and more than one year past due.
To estimate their bad debt expense, they multiply the total of receivables in each category by the corresponding nonpayment rate: 3%, 9%, and 28%. These calculated figures will give the expected uncollectible amount for each category. Then, they would sum up these amounts to determine the overall bad debt expense for the year.
It's important to note that at the end of the year, a comparison is made between the calculated bad debt expense and the existing balance in the Allowance for Doubtful Accounts. Any excess of calculated bad debt over the existing allowance balance is recognized as bad debt expense for the year.
#SPJ11
y=12+(x-1)(-4)