215 - 44.49 (I added the two deductions mentally) = 170.51
I see the percentages 2%, 1% and 3% add up to 6%
So we want 6% of 215 or .06 x 215 = $12.90
$170.51 - 12.90 = $157.61 net income.
Answer:
i think you have to mark where the dog leashes go on the line plot based on their length?? for example, a 3 foot dog leash is on the <em>list</em>, so maybe you're supposed to put an X or something above the number 3 on the <em>line plot</em>? so sorry if this didn't help..
Answer:
A y<= -1/3x+1
Step-by-step explanation:
Given the function modeling the profit:
f(x)=-x^2+16x-60
a)<span>a.determine the vertex. what does this calculation mean in the context of the problem?
The vertex form is given by y=(x-h)^2+k, where (h,k) is the vertex:
y=</span>f(x)=-x^2+16x-60
y=x^2-16x+60
c=(-b/2a)^2
b=16
thus
c=(-16/2)^2=64
hence:
y=x^2-16x+64+60-64
y=(x-8)(x-8)-4
y=(x-8)^2-4
hence the vertex form will be:
y=(x-8)^2-4 the vertex is (8,-4)
The vertex represents the highest point of the graph which is the highest daily profits attained.
b] <span>determine the x-intercepts. what do these values mean in the context of the problem?
</span>let y=0 thus
0=<span>−x2 + 16x − 60
</span>factorizing the above we get:
0=x^2-16x+60
0=x^2-6x-10x+60
0=x(x-6)-10(x-6)
thus
x=6 and x=10
thus the x-intercepts are x=6 and x=10, they represent the breakeven point. The minimum number of units they can sell and not make any profit
