Is 2 +43 negative or postive ?
1 answer:
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Answer:
Between 150 and 450
Step-by-step explanation:
We are going to find the number by resolving a system of linear equations.
First we write the system equations :
Where C : children, S : students and A : adults
The equation represents the ''full attendance''
The second equation :
This equation represents the totaled receipts.
The system :
has the following associated matrix :
By performing elementary matrix operations we find that the matrix is equivalent to
The new system :
Working with the equations :
Our solution vector is :
For example :
If 0 adults attended ⇒ A = 0
This verify the totaled receipts equation :
150($3)+600($5) = $ 3450
A ≥ 0 ⇒ If A = 0 ⇒ C = 150
C = 150 is the minimum children attendance
From the equation :
S ≥0
600 - 2A ≥ 0
600 ≥ 2A
300≥ A
A is restricted to the interval [ 0, 300]
When A = 0 ⇒ C = 150
When A = 300 ⇒C = 150 + A = 150 + 300 = 450
Children ∈ [ 150,450]
With C being an integer number (including 0)
Also S and A are integer numbers (including 0)
Part A:
Given that <span>a dinette table with a cash price of $200 is purchased at $8.50 down and $11.00 per month for 24 months
The total installment price is given by
Part B:
The carrying charges is given by the total installation price minus the cash price.
From part a, we obtained that the total installation price is $272.50 and given that the cash price is $200.
Therefore, the carrying charges is given by
$272.50 - $200.00 = $72.00
Part C:
If the money is to be saved at $11 per month to be able to purchase the table at the cash price, the number of months it will take to be able to save $200 at $11 per month is given by
Therefore, it will take 19 months </span><span>to save the money at the monthly rate needed to buy the item for its cash price.</span>
Given that <span>a dinette table with a cash price of $200 is purchased at $8.50 down and $11.00 per month for 24 months
The total installment price is given by
Part B:
The carrying charges is given by the total installation price minus the cash price.
From part a, we obtained that the total installation price is $272.50 and given that the cash price is $200.
Therefore, the carrying charges is given by
$272.50 - $200.00 = $72.00
Part C:
If the money is to be saved at $11 per month to be able to purchase the table at the cash price, the number of months it will take to be able to save $200 at $11 per month is given by
Therefore, it will take 19 months </span><span>to save the money at the monthly rate needed to buy the item for its cash price.</span>