Refer to the figure shown below.
Because the maximum height of the parabola is 50 m, its equation is of the form
y = ax² + 50
This equation places the vertex at (0,50). The constant a should be negative for the vertex to be the maximum of y.
The base of the parabola is 10 m wide. Therefore the x-intercepts are (5,0) and (-5,0).
Set x=5 and y=0 to obtain
a(5²) + 50 = 0
25a = -50
a = -2
The equation of the parabola is
y = - 2x² + 50
At 2 m from the edge of the tunnel, x = 5 - 2 = 3 m.
Therefore the height of the tunnel (vertical clearance) at x = 3 m is
h = y(3)
= -2(3²) + 50
= - 18 + 50
= 32 m
Answer: 32 m
Answer:
(a) After 5 years what will be his age?
"5 + y" years old
(b) What was his age 6 years back?
"y - 6" years old
(c) His grandfather‘s age is 5 times his age, What is the age of grandfather?
"5y" years old
(d) His father’s age is 6 years more than 3 times his age. What is his father’s age?
"6 + 3y" years old
Note: Ignore the quotation marks, ""
Answer: Total cost incurred on new laptop is $318.
Explanation:
Since we have given that
Cost price of new laptop = $300
Sales tax = 6%
total cost of laptop including the sales tax is given by

so,

So, total cost incurred on new laptop is $318.