Answer:
x = 6
Step-by-step explanation:
The line of reflection is x = 6.
Answer:
After finding the prime factorization of $2010=2\cdot3\cdot5\cdot67$, divide $5300$ by $67$ and add $5300$ divided by $67^2$ in order to find the total number of multiples of $67$ between $2$ and $5300$. $\lfloor\frac{5300}{67}\rfloor+\lfloor\frac{5300}{67^2}\rfloor=80$ Since $71$,$73$, and $79$ are prime numbers greater than $67$ and less than or equal to $80$, subtract $3$ from $80$ to get the answer $80-3=\boxed{77}\Rightarrow\boxed{D}$.
Step-by-step explanation:
hope this helps
Answer:
Refer to the explanation.
Step-by-step explanation:
Let's take each one at a time.
1.
To solve for the complement, we simply subtract our markup rate by 100%.
100% - 30% = 70%
Now to solve for the selling price, we use the formula


Selling Price = $123.91
2.
We do the same process with the first number.
100% - 40% = 60%


SellingPrice = $366.67
3.
The same as the first two.
100% - 20% = 80%


SellingPrice = $111.88
4.
Now to solve for the markup rate, we use the formula:

In this case we first need to find the markup. The markup is the difference between the selling price and the cost.
Selling Price = $235.28
Cost = $199.99
Markup = $235.28 - $199.99
Markup = $35.29
Now the we know our markup, we can then solve for the markup rate using the formula.


MarkupRate = 0.1499 x 100 = 14.99% or 15%
5.
Now for the last one, we need to find for the cost. Let's use the selling price formula to find for the cost.

Selling Price = $30.77
Complement = 65% or 0.65
This will then give us.

We multiple both sides of the equation by 0.65 to leave our cost alone.
30.77 x 0.65 = Cost
Cost = $20
It is (-2, -3) im thinking not sure