solution is (x, y ) → (- 1, 4 )
y + 2x = 2 → (1)
y + 4x = 0 → (2)
subtract equation (1) from (2) to eliminate term in y
(y - y ) + (4x - 2x ) = (0 - 2 )
2x = - 2 ( divide both sides by 2 )
x = - 1
substitute x = - 1 in either (1) or (2) and solve for y
(1) → y - 2 = 2 ( add 2 to both sides )
y = 4
solution is (x, y ) → (- 1, 4 )
Present Value of an annuity is given by the formular
PV = P(1 - (1 + r)^-n)/r; where PV = $28,000, r = 0.081/12 = 0.00675, n = 35 and P is the periodic (monthly) payment.
P = PVr/(1 - (1 + r)^-n) = (28,000 x 0.00675)/(1 - (1 + 0.00675)^-35) = 189/0.2098 = 900.90
Therefore, the monthly payment is $900.90
Answer:
The bag of chips and the pretzel are 14.
The cookie is 8.
The popcorn is 13.
"?" is 222.
Step-by-step explanation:
We know that the bag of chips and the pretzel are equal to each other so all we have to do to figure them out is to divide 42 by 3, which gets us 14.
So, now we know the bag of chips and the pretzel are both 14.
To figure out what the cookie is, we take 14 away from 30, which gets us 16. Two cookies are 16 which means that one cookie is 8.
To figure out what the popcorn is, we have to take away 16 from 29 since two cookies are 16. 29 minus 16 is 13.
Popcorn therefore is 13.
Two popcorns' is 26.
26 multiplied by 8 is 208.
208 plus 14 is 222.
Hope that made sense and answered your question! :)
Answer:
Step-by-step explanation:
Parallel equations have same slope
Therefore slope of 3x + y = -2 is same as slope of other equation.
Slope of 3x + y = -2 is
m=-3
Now we have write equation having slope -3 and passing through point (5, -5)
