<h2>Steps</h2>
So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):
- When <em>decrease</em>: (1 - p)m
- When <em>increase</em>: (1 + p)m
So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:
<em>On Tuesday, the share went from $80 to $68</em>
Next, on Wednesday the share increased by $7. With this, just add $68 and 7.
<em>On Wednesday, the share went from $68 to $75</em>
Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:
<h2>Answer</h2>
<u>The final price of the share is $84.</u>
You could buy 135 MP3 songs.
($304.25 - $149 = $155.25 | $155.25 / 1.15 = 135)
Answer: you bought 9 burgers and 16 tacos
Step-by-step explanation:
Let x represent the number of burgers that you bought.
Let y represent the number of tacos that you bought.
You buy a total of 25 burgers and tacos. It means that
x + y = 25
The burgers cost $3.50 each and the tacos cost $2.25 each. The total cost of the burgers and tacos that you bought is $67.50. It means that
3.5x + 2.25y = 67.5- - - - - - - - - - - - 1
Substituting x = 25 - y into 1, it becomes
3.5(25 - y) + 2.25y = 67.5
87.5 - 3.5y + 2.25y = 67.5
- 3.5y + 2.25y = 67.5 - 87.5
- 1.25y = - 20
y = - 20/ - 1.25
y = 16
x = 25 - y = 25 - 16
x = 9
So, you want to do the operations on both sides.
5/4 (x-5)=-6 becomes
x-5= -6/(5/4)
becomes
x= -6/(5/4)+5
and x=0.2
Hope this helped!
Answer:
16 ft²
Step-by-step explanation:
Since we're told that 2 ft diameter was cut of the board. We use the formula for hollow circle to find the area.
Area of remaining body = area of full body - area of removed body.
Area = πd²/4
Area of remaining body = (π * 5²)/4 - (π * 2²)/4
Area of remaining body = 19.64 - 3.142
Area of remaining body = 16.49 ft²
Therefore, the remaining area is then calculated into 16 ft²
