Count the number of multiples of 3, 4, and 12 in the range 1-2005:
⌊2005/3⌋ ≈ ⌊668.333⌋ = 668
⌊2005/4⌋ = ⌊501.25⌋ = 501
⌊2005/12⌋ ≈ ⌊167.083⌋ = 167
(⌊<em>x</em>⌋ means the "floor" of <em>x</em>, i.e. the largest integer smaller than <em>x</em>, so ⌊<em>a</em>/<em>b</em>⌋ is what you get when you divide <em>a</em> by <em>b</em> and ignore the remainder)
Then using the inclusion/exclusion principle, there are
668 + 501 - 2•167 = 835
numbers that are multiples of 3 or 4 but not 12. We subtract the number multiples of 12 twice because the sets of multiples of 3 and 4 both contain multiples of 12. Subtracting once removes the multiples of 3 <em>and</em> 4 that occur twice. Subtracting again removes them altogether.
$363.73
The sales tax is $23.73
Steps:
Sales tax is calculated by multiplying the purchase price by the sales tax rate to get the amount of sales tax due. The sales tax added to the original purchase price produces the total cost of the purchase.
So 340 • 6.89%
340• .0698= 23.732
If it’s a percentage you move the decimal two places to the left
340 + 23.73 = 363.73
Hope this helps
I believe your answer would be 240
but im not 100% sure
because a triangle equals up to 360 so 120-360= 240
The value of c is { c | c ∈ R, c ∉ {-1,0,2,12} }.
c is a number such that it is not in the set {-1,0,2,12} else we end up with a domain value having multiple range values, contradicting with the definition of a function.
Answer:
Graph (0, 25) and (50, 0)
Step-by-step explanation:
Intercept form of an equation for a line is ...
x/(x-intercept) + y/(y-intercept) = 1
Dividing each equation by the constant on the right can put it into this form.
First equation:
t/42 + f/42 = 1
Second equation:
t/50 + f/25 = 1
This tells you the second equation can be graphed using the points ...
... (50, 0) and (0, 25) . . . . . matches the second selection
