A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 minutes, find the amount of water left in the tank 10 minutes after the leak develops if the water drains off at a rate that is proportional to the amount of water present.

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

Given

--- initial

--- the amount left, after 5 minutes

Required

--- amount left after 5 minutes

To do this, we make use of:

implies that:

Divide both sides by 200

Take natural logarithm of both sides

So, we have:

Divide by 5

So, the function is:

The amount after 10 minutes is:

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90

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step-by-step explanation: