Answer:
$9.20
Step-by-step explanation:
the tax would be $0.80 because 8% of $10 is $0.80
so the total cost is $10.80
now subtract that by her $20 bill
20-10.80= 9.20
so she will be given $9.20 back in change
hope this helps luv <3
Answer:

Step-by-step explanation:
we want to figure out the ellipse equation which passes through <u>(</u><u>1</u><u>,</u><u>4</u><u>)</u><u> </u>and <u>(</u><u>-</u><u>3</u><u>,</u><u>2</u><u>)</u>
the standard form of ellipse equation is given by:

where:
- (h,k) is the centre
- a is the horizontal redius
- b is the vertical radius
since the centre of the equation is not mentioned, we'd assume it (0,0) therefore our equation will be:

substituting the value of x and y from the point (1,4),we'd acquire:

similarly using the point (-3,2), we'd obtain:

let 1/a² and 1/b² be q and p respectively and transform the equation:

solving the system of linear equation will yield:

substitute back:

divide both equation by 1 which yields:

substitute the value of a² and b² in the ellipse equation , thus:

simplify complex fraction:

and we're done!
(refer the attachment as well)
Answer:
$1516.69 per month less
Step-by-step explanation:
The formula for the monthly payment A on a loan of principal P, annual rate r, for t years is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
For the 18.5% loan, the monthly payment is ...
A = 150000(.185/12)/(1 -(1 +.185/12)^(-12·30)) ≈ 2321.92
For the 5% loan, the monthly payment is ...
A = 150000(.05/12)/(1 -(1 +.05/12)^-360) ≈ 805.23
The mortgage at 5% would be $1516.69 less per month.
11
66=11×6
121=11×11
132=11×12
10,15 in the simplest form is 2,3