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State whether the following statement is...

State whether the following statement is true or false:
I. The compound interest of a certain sum of money for a certain period of time at the certain rate of compound interest per annum is less than the simple interest of the same sum of money for the same period of time and at the same rate of interest.
II. In the case of compound interest the quantity of principal gradually increases.
III. In the case of compound interest, the rate of interest changes every year.
IV. In the case of compound interest, the same quantity of interest is obtained in every year.
V. In the case of compound interest the obtained interest is proportional to the period of time.

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