Answer:
There are a total of 12 combinations you can get
Step-by-step explanation:I counted
Answer:
a) Infinite solutions
b) No solutions
Step-by-step explanation:
First, know the following:
If the graphs intersect, there's only one solution.
If the graphs are parallel, there are no solutions.
If the graphs are the exact same line, there are infinite solutions.
For a):
Change the first equation into a linear one.
Change the second equation into a linear one.
- 4x+6y=12
- 6y=-4x+12
Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.
For b)
They are already in linear form so hurray.
These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.
Find the slope of the line first:
5x - 2y = -6,
y = (5/2)x + 3;
Since we need a line that's perpendicular, m = - (2/5).
The only equation that has the slope of this m is 2x + 5y = -10;
Answer:
Step-by-step explanation:
I honestly don’t know sorry
9514 1404 393
Answer:
$3291.60
Step-by-step explanation:
If the loan is amortized in the usual way, the monthly payment is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . . loan of P at rate r for t years
A = $15,000(0.081/12)/(1 -(1 +0.081/12)^(-12·5)) ≈ $304.86
The total of payments is ...
(60 months) × ($304.86/month) = $18,291.60
Then the profit to the bank is ...
$18,291.60 -15,000 = $3,291.60 . . . bank profit