Answer:
$12,714
Step-by-step explanation:
Loan Amount=$30,000
Monthly Payment =$355.95.
Number of Payment Period = 10 Years X 12 Months =120 Months
Total Payment to be made by Austin =120 X 355.95=$42,714
Therefore:
The interest Austin will pay=Total Payment-Loan Amount
=$42,714-30,000
=$12,714
Answer:
2) x = -2
, y = 2
3) no solution exists
Step-by-step explanation:
Solve the following system:
{-2 x - 3 y = -2
y = 2 x + 6
Hint: | Perform a substitution.
Substitute y = 2 x + 6 into the first equation:
{-2 x - 3 (2 x + 6) = -2
y = 2 x + 6
Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.
-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Isolate terms with x to the left hand side.
Add 18 to both sides:
{-8 x = 16
y = 2 x + 6
Hint: | Solve for x.
Divide both sides by -8:
{x = -2
y = 2 x + 6
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 2
Answer:
$19.15
Step-by-step explanation:
Equation 1: 8.50+4.25+4.25= 17.00 (price of the popcorn and drinks)
Equation 2: 17.00/7.89= 2.15 (how to find how much the tax is)
Solve: 17.00+2.15=19.15 (add the tax to how much the popcorn and drinks were)
Triangle ABC is a right angle triangle. The point of circumcentre and the point of orthocentre is the same point, as shown in the diagram below. The coordinate of the point is (2.5, 2.5)
