Select the correct answer.
a baseball is thrown into the air from the top of a 224-foot tall building. the baseball's approximate height over time can be represented by the quadratic equation h(t) = -16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. when factored, this equation is h(t) = -16(t - 7)(t + 2).
what is a reasonable time for it to take the baseball to land on the ground?
a.
7 seconds
b.
2 seconds
c.
9 seconds
d.
5 seconds

The reasonable time for the base ball to land on the ground is 5 seconds

Step-by-step explanation:

To get the time we will differentiate

h(t) = -16t2 + 80t + 224, w.r.t t

dh(t)/dt= 0

-32t +80=0

32t=80

t=80/32

t= 2.5 seconds This is the time the base ball has been in the air

The reasonable time for it to take the baseball to land on the ground is T= 2×t

T= 2×2.5

T=5 seconds

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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