Respuesta :
Answer:
[tex]\%\ increase = 75\%[/tex]
Step-by-step explanation:
Initial Height = 60 inches
Final Height = 105 inches
Required
Determine the percentage increase
Percentage increase is calculated as thus;
[tex]\%\ increase = \frac{Final\ Height - Initial\ Height}{Initial\ Height}[/tex]
Substitute values for the final and the initial height
[tex]\%\ increase = \frac{105 - 60}{60}[/tex]
[tex]\%\ increase = \frac{45}{60}[/tex]
[tex]\%\ increase = 0.75[/tex]
Convert to percentage
[tex]\%\ increase = 75\%[/tex]
The height of the tree increased by 75%.
Given that the tree was 60 inches tall, and later it was 105 inches tall, to determine what is the percentage increase to the nearest hundredth of the height of the tree, the following cross multiplication must be performed:
- 60 = 100
- 105 = X
- 105 x 100/60 = X
- 10500/60 = X
- 175 = X
- 175 - 100 = 75
Therefore, the height of the tree increased by 75%.
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