Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
<u>Answer:</u>
Broker1 with $66.
Broker2 with $54.25
Broker4 with $50
Broker3 with $47.5
Broker5 with $33.5
<u>Explanation :
</u>
Total number of shares Cindy have : 300
Market Price per share : $25
Total price for the shares : 300 
$25
= $7500
Now ,
<u>Case 1:
</u>
Commission provided by broker1 = 0.75%
Online fees provided by broker1 = $ 10
Total price provided by broker1= 
=$66.25
<u>Case 2: </u>
Commission provided by broker2= 0.5%
Online fees provided by broker2=$17
Total price provided by broker2= 
=$54.5
<u>Case 3:
</u>
Commission provided by broker 3= 0.6% for 100 0r few
Not applicable because the total shares are 300
For over 100 shares
Commission provided= 0.5%
Online fees = $10
Total price = 
=$47.5
<u>Case 4:
</u>
For more than 100 shares
Online fees for buying and sharing= $50
Total price = $50
<u>Case5 :
</u>
Commision for a share bought or sold = 0.05%
Online fees =$30
Total Price= 
=$33.75
The answers are 1/3, 2/6, 3/9, 4/12
To find a number 10 times smaller than 62 simply move the decimal point one place to the left.
The decimal point in 62 is at the end of the number. 62. becomes 6.2 if we move the decimal one place back.
1.5 because is 2 inches is 20 bags the it be 1 inch for 10 bags, so going half of 10 is 5 and 1 divided by 2 is .5... so add up the 10 bags and 5 bags to get an answer of 1.5 inches.
