Gina plant a tree of 1m tall when she was in 1st grade, the tree grow 1% every month continuously. How tall will the tree be when Gina graduates?
Do you mean when Gina graduates from high school?
Yes.
1.01^ 144 x 1 = 4.19 meters
To determine the height of the tree when Gina graduates, we need to calculate its growth each month until she graduates.
The tree's initial height is 1 meter, and it grows by 1% every month. To find the height of the tree after one month, we can use the formula:
New Height = Initial Height + (Initial Height * Growth Rate)
New Height = 1 + (1 * 0.01) = 1.01 meters
After the first month, the tree will be 1.01 meters tall.
We can repeat this calculation for each subsequent month until Gina graduates. Counting the months until graduation depends on the specific duration of Gina's education. Assuming she finishes high school after 12 years, we'll calculate for 12 years or 144 months.
Let's calculate the height of the tree after each month:
Month 1: 1.01 meters
Month 2: 1.01 + (1.01 * 0.01) = 1.0201 meters
Month 3: 1.0201 + (1.0201 * 0.01) = 1.030301 meters
Month 4: 1.030301 + (1.030301 * 0.01) = 1.04060401 meters
...
Month 144: Calculate the height after 144 months using the same formula.
In this way, you can keep calculating the tree's height each month until Gina graduates by applying the growth rate formula.