Answer:
Step-by-step explanation:
We are given the following;
- Vertex of a quadratic function = (5,3)
- A point where the function passes through (-1, -9)
Required to determine the equation of the function;
- We need to know the vertex form of a quadratic function is;
, where h and k correspond to the vertex (h,k)
- Therefore, we can replace the variables h and k of the vertex in the equation;
That is;
Then we use the equation and the point given to solve for a
x = -1 and y = -9
We get;
Substituting the values of a, h and k in the equation, we get;
Thus, the equation of the function in the vertex form is
To get the height to the nick we use the trigonometry formula:
tan θ=opposite/adjacent
θ=73°
opposite=h ft
adjacent=38 ft
plugging our values we get:
tan 73=h/38
thus
h=38 tan 73
h=124.29~124.3 ft
Answer: <span>C. 124.3 ft</span>
Of course you need to know what "gross margin percentage" means.
Roughly speaking it is the profit as a percentage of sale price.
When a unit costs $1.00 and is sold at $2.50 the excess revenue is $1.50
Although we could express this profit margin as a FRACTION of the sale price,
(so this would be 1.50/2.5 = 3/5), it is usual to state this as a PERCENTAGE.
The gross margin percentage in the original case would be 100 * 3/5 = 60%
Let cost price be c, sale price be s.
Gross margin percentage g = 100* (s - c)/s
Solving this for sale price s
s = c/[1 - (g/100)]
When unit cost increases $0.25 we have c = 1.25
so s = 1.25[1 - 0.6] = 1.25/0.4 = 3.1
Action needed to maintain the gross margin percentage
is to increase selling price to $3.10
