Solve the problem.The sales tax on a freezer is $18.42 and the sales tax rate is 3%. Find the purchase price (the price before taxes are added) and the total price paid. Round your answers to the nearest cent.

A. $460.50, $478.92
B. $614.00, $632.42
C. $61.40, $79.82
D. $921.00, $939.42


Answer: B

Mathematics

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Find the differential of the function.y = (6x - 4)2 (8x + 1)2

A. 2((6x - 4)(8x + 1)(96x + 38) dx B. 2((6x + 4)(8x - 1)(96x + 38) dx C. 2((6x + 4)(8x - 1)(96x - 26) dx D. 2((6x - 4)(8x + 1)(96x - 26) dx

Mathematics

For the functions f(x) and g(x), determine the domain of (f/g)(x) (the quotient of f and g).f(x) = , g(x) = -6x

A. {x ? x is a real number and x ? -8} B. {x ? x is a real number and x ? 0} C. {x ? x is a real number} D. {x ? x is a real number and x ? 8}

Mathematics

Graph the polar equation.r = 1 + sin ?

A.

B.

C.

D.

Mathematics

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).f(x) = 

A. (i) x intercept: 3; y intercept: 
(ii) Domain: all real numbers except 4
(iii) Vertical asymptote: x = 4; horizontal asymptote: y = 1
(iv)

B. (i) x intercept: -3; y intercept: 
(ii) Domain: all real numbers except -4
(iii) Vertical asymptote: x = -4; horizontal asymptote: y = 1
(iv)

C. (i) x intercept: -5; y intercept: 
(ii) Domain: all real numbers except -4
(iii) Vertical asymptote: x = -4; horizontal asymptote: y = 1
(iv)

D. (i) x intercept: 5; y intercept: 
(ii) Domain: all real numbers except 4
(iii) Vertical asymptote: x = 4; horizontal asymptote: y = 1
(iv)

Mathematics