4. Henry is diving off a diving board that is 7m above the water. After 2 seconds, he reaches his maximum
height of 9m above the water. What height will Henry be after 5 seconds?

Step-by-step explanation:

Given

Diver is standing above water

Diver is at a maximum height of at

So, at his velocity is zero

After this he will be under free fall

using

here

but the distance between the pool and Henry is

So, he reaches the pool before

So, he reaches pool at after diving off the board

my answer got deleted but it's a

step-by-step explanation:

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.