There are 2,500,000 pennies in $25,000
Answer:
48 girls
Step-by-step explanation:
Divide 42 by 7 and then multiply the answer by 8. So 42/7 is 6 and 6 multiplied by 8 is 48 so if there are 42 boys there are 48 girls.
Answer:
(-♾, ♾)
Step-by-step explanation:
A quadratic can accept any real x value. So the domain is All Real Numbers. This in interval notation is
(-♾, ♾)
This is read as negative infinity to positive infinity
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is 
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is 
. Since function is reflected about x-axis, so our function will be 
.
Let us find the value of b.
Upon substituting our given values in general cosine function, we will get:
Therefore, our required function would be .
Answer:
1875 arrangements
Step-by-step explanation:
Break-Even is the point when costs are equal to profit.
The cost is 15,000
We need to cover this up with the profit we get from sales.
Each arrangement is 17 (cost) and is sold for 25, so the profit from each arrangement is:
25 - 17 = 8
So, with each arrangement sale, we make profit of $8. How many of these we need to sell in order to break even (in order to make 15,000)??
We simply divide this amount (15,000) by the profit we make from each arrangement ($8), so that would be:
Number of Arrangements Needed to Break-Even = 15,000/8 = 1875
After 1875 arrangements, the boutique breaks even.
