# A camera has a listed price of \$53.98 before tax. If the sales tax rate is 6.75% , find the total cost of the camera with sales tax included.

\$57.62

Step-by-step explanation:

\$53.98 x 6.75% = \$3.64

\$53.98 + \$3.64 = \$57.62

## Related Questions

Function f is represented by the equation given below. Function g has a vertex at (2,4) and the parabola opens downwards.

Which of the following statements is true? f(x)=x^2-5x+6

A.
The minimum of function f is at (-5,6).
B.
The minimum of function g is at (2,4).
C.
The y-intercept of function f is less than the y-intercept of function g.
D.
The y-intercept of function f is greater than the y-intercept of function g.

Step-by-step explanation:

Unfortunately, you have not shared function g(x).  But I can focus on questions involving function f(x) alone:

A:  We can find the x-coordinate of the minimum of f by calculating x = -b/(2a).  Here that comes out to x = 5/2*1) = 5/2.  This does not agree with A.  A is FALSE.

B:  Function g(x) unknown; cannot answer this.

C:  The y-intercept of function f(x) is 6.  That of g(x) is unknown.

D:  The y-intercept of function f(x) is 6.  That of g(x) is unknown

A video game sets the points needed to reach the next level based on the function g(x) = 12(2)x − 1, where x is the current level. The hardest setting promises to multiply the points needed in each level according to the function h(x) = 3x. How many points will a player need on the hardest setting of level 6?

g(x)  = 12(2)x - 1

h(x)  = 3x

We are looking for this :

g(6) * h(6)     ....so we have....

12(2)6-1  * 36   =

12(2)5  * 729  =

12*32 * 729   =  279,936 points

Dominic uses 1/2 tablespoon of almond butter to make a sandwich. He needs to make 5 sandwiches. How many tablespoons of almond butter does he need to make the sandwiches?

2 and a half tablespoons of almond butter

Your gross pay is \$2,759.00. Your involuntary deductions are FICA (7.65%), federal withholding (12%), and state withholding (7%). How much are you allowed for housing and fixed expenses?

\$2,023.73

Step-by-step explanation:

First step

7.65

12

7

26.65% total tax deductions

Second Step

Find total taxes

Gross Pay \$2,759 × 26.65% or .2665=\$735.27 total taxes

Third Step

Find net pay (gross pay minus taxes)

Gross Pay \$2,759 - \$735.21=\$2,023.73 the amount left to spend on housing and fixed expenses.

Consider the following pair of equations: y = 3x + 3
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Y = 3x + 3 this is equation 1
y = x -1 this is equation 2
since equation 1 and 2 already defined y in terms of x, we're just gonna substitute y into the other equation. as 2 is shorter I'm going with that today
x - 1 = 3x +3
-1 - 3 = 3x - x
-4 = 2x
x = -2
now we've got x just sub it in equation 2
y = -2 -1
y = -3

Which ordered pair is a solution to the linear inequality? y - 4 x ≤ - 6

A. (-2, 4)
B. (1, -2)
C. (1, 3)
D. (2, 3)

Thank you everyone!

b

Step-by-step explanation:

Lukas graphed the system of equations shown. 2x + 3y = 2 y = x + 3 What is the solution to the system of equations?

Rewrite the first equation to be in y=... form:

2x+3y=2
3y = 2-2x
y = (2-2x)/3

Now you can equate it to the second (the y drops out):

(2-2x)/3 = x+3
2/3 - 2/3x = x + 3
-5/3x = 7/3
x = - 7/5

so y = x+3 = -7/5 + 3 = 8/5

The intercept is at (-7/5, 8/5)

yeah its (-2,2)

Given the functions below, find f(x) · g(x)
f(x) = 2x + 5
g(x) = x2 – 3x + 1

Answer: 2x3 - x2 -13x + 5

Step-by-step explanation:

(2x2 + 5) (x2 -3x + 1)

(2x3 - 6x2 + 2x + 5x2 -15x +5)

= 2x3 - x2 - 13x + 5

The cool company determines that the supply function for its basic air-conditioning unit is S(p) = 10 + 0.002p^3 and that its demand function is D(p) = 50 - 0.04p^2 , where P is the price. Determine the price for which the supply equals the demand.