Answer:
Tax = $0.75
Tip = $2.25
Total (meal + tax + tip)= $18.00
Step-by-step explanation:
When solving for percentages of a number, such as sale tax and tip, multiplying the decimal equivalent of each percentage to the amount will give you the individual costs. For example, in this case the sales tax is 5%, the decimal equivalent of 5% = 5 ÷ 100 = 0.05. To find the amount of tax on Allam's meal, multiply the rate by the amount:
0.05 x $15 = $0.75
Since he plans to leave a 15% tip, we can also multiply the amount of the meal by the planned tip amount:
15 ÷ 100 = 0.15
0.15 x $15 = $2.25
Total amount paid, including tax and tip:
$15 + $0.75 + $2.25 = $18.00
Answer:
2r+1+(-4r)+7
= -2r+8
= -2(r+4)
Step-by-step explanation:
Answer:The slope of the line that passes through (-10, 0) and (-13, 3) is "-1".
Given points are:
As we know, the formula,
→
By substituting the above points, we get
→
→
→
→
Thus the solution is right.
Step-by-step explanation:
Answer:
they are complementary
Step-by-step explanation:
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750
Correct answer is C)</span>
