Starting price is : $248.50Price with 25% off :$248.50 x ( 1 - 0.25 ) = $248.50 x 0.75 = $186.375After that she has to pay 5 % sales tax:$186.375 x 1.05 = $195.70Answer: $195.70
Option D: 
; all real numbers.
Explanation:
Given that the functions are 
and 
We need to determine the value of 
and its domain.
<u>The value of </u><u>:</u>
The value of can be determined by multiplying the two functions.
Thus, we have,
Thus, the value of is
<u>Domain:</u>
We need to determine the domain of the function
The domain of the function is the set of all independent x - values for which the function is real and well defined.
Thus, the function has no undefined constraints, the function is well defined for all real numbers.
Hence, Option D is the correct answer.
Answer:
a) 952
b) 136
Step-by-step explanation:
<u>Ratio of b:g = 3:4, based on this we have:</u>
- Number of boys = 3x
- Number of girls = 4x
- Total number of pupils = 3x+4x = 7x
<u>Number of spectacle wearers:</u>
- 1/3*3x + 3/8*4x = x + 3/2x = 2.5x
<u>Number of those not wearing spectacles:</u>
<u>And this number equals to 612, then we can find the value of x:</u>
- 4.5 x = 612
- x= 612/4.5
- x= 136
a) T<u>otal number of pupils:</u>
b)<u> The difference in the number of boys and girls:</u>
Write as a system y= 2 x + 2.4x - 2y = 4
{y = 4
{2x + 2.4x - 2y = 4
Substitute the value of y into the equation
2x + 2.4x - 2 x 4 = 4
Solve the equation
x= 30/ 11
A possible solution is
(x, y) = (30/11, 4)
Check the solution
4 = 2 x 30/11+ 2.4 x 30/11 - 2 x 4 = 4
Simplify the expression
4 = 4 = 4
The ordered pair is a solution
(x, y) = ( 30/11, 4)
Ok, at most is basically less than or equal to the number, because it means that at most the number is equal to or less. The equation is 4W > 51
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