Abaseball is thrown in a parabolic arc. ?

The maximum height of the baseball is 9 feet

Step-by-step explanation:

we have

where

p(t) ----> baseball position above the ground in feet

t ----> the time in seconds

v_0 ----> is the initial velocity in ft/sec

p_0 ---> initial position above the ground

we have

substitute the given values

This is the equation of a vertical parabola open downward

The vertex represent a maximum

Convert the quadratic equation in vertex form

Factor -16 leading coefficient

Complete the square

Rewrite as perfect squares

The vertex is the point (0.5,9)

The maximum height of the baseball above the ground is the y-coordinate of the vertex

therefore

The maximum height of the baseball is 9 feet

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.