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An investment account has 0 in it on January 1 and $2000 of new principal is deposited. On April 1, the value of the account

An investment account has 0 in it on January 1 and $2000 of new principal is deposited. On April 1, the value of the account has increased to $2100 and an additional deposit of $500 is made. On September 1. The value has increased to $2400 and $200 is withdrawn. On the following January 1, the investment account is worth $2600. What are the dollar weighted and time-weighted rates of interest for the year?

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