Y-intercept= 5
Rate of change= 3
Options 1 and 3 are the correct answers
Answer:
<h3>C. 800</h3>
Step-by-step explanation:
Given the equation used to calculate the amount of profit, p, made from selling n candy bars expressed as p = 1.50n – 500
To find the number of candies sold for $700, we are going to substitute p = $700 into the given expression and find n as shown;
700 = 1.50n - 500
Add 500 to both sides
700+500 = 1.50n-500+500
1200 = 1.50n
Divide both sides by 1.50
1200/1.50 = 1.50n/1.50
800 = n
Rearrange
n = 800
Hence 800 candy bars must be sold to make $700 profit
Answer:
The correct option is (A).
Step-by-step explanation:
If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.
![\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C0%260%260%261%5Cend%7Barray%7D%5Cright%5D)
Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:
![\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D1%260%260%260%26a%5C%5C0%261%260%260%26b%5C%5C0%260%261%260%26c%5C%5C0%260%260%261%26d%5Cend%7Barray%7D%5Cright%5D)
Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.
Thus, the correct option is (A).
We are not given tables, so will just use the amortization formula.

where
P=amount to be deposited today, to be found
A=amount withdrawn each year=18000
i=Annual interest=9%
n=number of years = 20
Substituting values,

=164313.82 to the nearest cent