Constant flow of funds


The I've been moved company gets a constant flow of funds from its worldwide operations. This money (in the form of checks) is continusly deposited in many banks with the goal of earning as much interest for the company. One billion dollars is deposited each month, and the money earns an average of 1/2% interest per month compounded continuously. assume all the money remains until the end of the month.

a. How much interest does company earn each month?

b. How much interest would company earn each month if it held checks and made deposits to bank just 4 times a month?

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Mathematics: Constant flow of funds
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