Amirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror. the pipe is located 8 inches from the vertex of the mirror. write an equation of the parabola that models the cross section of the mirror. assume that the parabola opens upward.

Step-by-step explanation:

Given:  A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror.

The pipe is located 8 inches from the vertex of the mirror.

Assume the vertex is at the origin.

If the parabola opens upwards

then the coordinates of focus= (0,8)

We know that equation of parabola with focus (0,a) and open upards is of the form (vertex=(0,0)) is

Substitute the value of a=8 in equation, we get

Therefore, equation of the parabola that models the cross section of the mirror is

Step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

2x + 8

step-by-step explanation: