Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.
Now,
it's vertex is given, I.e (7 , -5)
so, length of semi transverse axis will be equal to distance of vertex from centre, i.e
Now, it's focus can be represented as ;
so,
and we know, a = 4
Now, let's find the measure of semi - conjugate axis (b)
So, it's time to write the equation of hyperbola, as we already have the values of a and b ~
[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]
Answer: $49,875; $4,830C.
Step-by-step explanation:
The average salary of Teachers in a medium-sized suburban school district is $47,500 per year.
The standard deviation is $4,600
After negotiating with the school district, teachers recieve a 5% raise and a one-time $500 bonus. The bonus of $500 will not alter the mean and standard deviation because equal amount is added for each teacher.
5% increase in each teacher's salary would differ. Therefore, it will affect the mean and standard deviation by 5%. Therefore, the new mean would be
47500 + (5/100 × 47500) = $49875
The new standard deviation would be
4600 + (5/100 × 4600) = $4830
Answer:
The crossover point for Time 
Step-by-step explanation:
From the question we are told that
The total rooms rented for the year is 
Time's fixed cost is r = $61,000
Time's variable cost is 
$12.5 per room
Duffy's Maid Service fixed cost is 
$25,000
Duffy's Maid Service variable cost is 
$18.00 per room
The cross over point for Time is mathematically represented as
substituting values
