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The change in altitude between the maximum height and the height at which the balloon was recovered is 1300 meters
<h3>How to determine the change</h3>
It is important to note that the maximum height is the peak altitude the balloon reached
To find the difference, we use the formula
Change = Maximum height - recovery height
Maximum height = 5000 meters
Recovery height = 3700 meters
Substitute the values
Change = 5000 - 3700
Change = 1300 meters
Thus, the change in altitude between the maximum height and the height at which the balloon was recovered is 1300 meters
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Given:
Rate of interest = 8% compounded continuously.
Amount = 100,000
Time = 25 years
To find:
The principal value.
Solution:
Formula for amount after continuous compound interest:

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting
in the above formula, we get




On further simplification, we get

Therefore, the amount 13533.528 is invested.
You would need to go in the order of pemdas