Answer:
<em>The washing machine cost $600 before tax</em>
Step-by-step explanation:
<u>Percentages
</u>
The washing machine cost $651 including a tax of 8.5%.
If x was the cost of the washing machine before tax, then the tax was:
x*8.5/100 = 0.085x
It was added to the original price:
x + 0.085x = 1.085x
That is the final price, thus
1.085x=$651
Solving:
x = $651/1.085
x = $600
The washing machine cost $600 before tax
Answer:
B
Step-by-step explanation:
<h3>Answer:</h3>
x/tan(x) is an even function
sec(x)/x is an odd function
<h3>Explanation:</h3>
<em>x/tan(x)</em>
For f(x) = x/tan(x), consider f(-x).
... f(-x) = -x/tan(-x)
Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...
... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)
The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.
_____
<em>sec(x)/x</em>
For g(x) = sec(x)/x, consider g(-x).
... g(-x) = sec(-x)/(-x)
Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...
... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)
The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.