Answer:
<em>a) Since the income is more than the cost, she makes a profit.</em>
<em>b) To make profits, she must sell at least 17 necklaces</em>
Step-by-step explanation:
<u>Inequalities</u>
The costs of selling jewelry at a fair are $135 to rent a booth and $4 for each necklace. The cost function is:
C(n) = 135 + 4n
Where n is the number of necklaces she sells at the fair. She sells each necklace at $12 each, thus the income function is:
R(n) = 12n
a) If she sells n=17 necklaces, it will cost:
C(17) = 135 + 4*17 = 203
And the income is:
R(17) = 12*17= 204
Since the income is more than the cost, she makes a profit.
b) To make a profit R(n) > C(n), thus:
12n > 135 + 4n
Subtracting 4n:
8n > 135
n > 135/8
n > 16.875
Thus, to make profits, she must sell at least 17 necklaces
No. Brandon has done better than Andy because Andy scored a 64%, when Brandon scored a 65%
Answer:
4.4
Step-by-step explanation:
The parent function of this graph is: y = sin(x)
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function:

where:
- A = amplitude (height from the mid-line to the peak)
- 2π/B = period (horizontal distance between consecutive peaks)
- C = phase shift (horizontal shift - positive is to the left)
- D = vertical shift
The <u>period</u> is the horizontal distance between consecutive peaks, which is the same as <u>twice the horizontal distance between the intersection of the curve and the mid-line</u>.
Given consecutive points of intersection between the curve and the mid-line:
Therefore, the horizontal distance between these two points is:
5.9 - 3.7 = 2.2
⇒ Period = 2.2 × 2 = 4.4
-------------------------------------------------------------------------------------
To create the equation for the function.
From inspection of the given graph:
- Amplitude (A) = 6
- Mid-line is y = 5
- Vertical shift (D) = +5
Period = 2π/B = 4.4 ⇒ B = 5π/11
Phase Shift (C) = -3.7
Substituting the values into the standard form:


<em>D</em><em>:</em><em> </em><em>She</em><em> </em><em>needs</em><em> </em><em>to</em><em> </em><em>keep</em><em> </em><em>going</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>more</em><em> </em><em>digits</em><em>.</em>
Answer:
0.036
Step-by-step explanation:
<em>The </em><em>diameter</em><em> </em><em>is </em><em>0</em><em>.</em><em>6</em><em>/</em><em>2</em><em>,</em><em> </em><em>which </em><em>is </em><em>0</em><em>.</em><em>3</em><em> </em><em>and </em><em>your </em><em>radius </em><em>is </em><em>0</em><em>.</em><em>3</em><em>.</em>
<em>on </em><em>your </em><em>calculator</em><em> </em><em>,</em><em> </em><em>you'll</em><em> </em><em>press </em><em>4</em><em>/</em><em>3</em><em> </em><em>×</em><em> </em><em>0</em><em>.</em><em>3</em><em>^</em><em>3</em>
<em>which </em><em>is </em><em>equals </em><em>to </em><em>0</em><em>.</em><em>0</em><em>3</em><em>6</em><em>π</em>