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2.94 seconds.

Step-by-step explanation:

The ball will hit the ground when the height of the ball is 0 meters.

The equation is...

h = 61 - 6t - 5t^2.

-5t^2 - 6t + 61 = 0

5t^2 + 6t - 61 = 0

We can use the quadratic formula to solve.

[please ignore the A-hat; that is a bug]

, where a = 5, b = 6, and c = -61.

=

=

=

=

=

Since time cannot be negative, we will not minus the 35.44009029.

(-6 + 35.44009029) / 10 = 29.44009029 / 10 = 2.944009029

That is approximately 2.94 seconds.

Hope this helps!

Step-by-step explanation:

When the ball hits the ground, h = 0

Putting this in the equation:

=>

=>

Taking -1 as common

=>

Dividing both sides by -1

=>

Using Quadratic Equation:

=>t =  

=>

=> t =

Either:

t =       OR     t =

t = 29.44/10      OR     t = -41.44/10

t = 2.94            OR      t = -4.14

Time can never be negative so t = 2.94 secs

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336

a. she will receive a refund of $278.

step-by-step explanation: