Question: On May 9 th 2 0 2 4 , Arthur opens an investment account at Elwood City Bank, and immediately deposits a lump sum (

On May 9th 2024, Arthur opens an investment account at Elwood City Bank, and immediately deposits a lump sum (initial deposit). He continues to make regular deposits thereafter. (1)Suppose that Arthurs initial deposit is $12000.He deposits $300 on the 5th of each month. Interest compounds
annually on the 31st of December. Arthur would like the account balance to reach $20,000 on January 15th 2026.
Determine the interest rate required so that Arthur achieves his goal. Round your answer to two decimal places. (2) Suppose that Arthur deposits $300 on the 5th of each month. Interest compounds monthly on the 10th of each
month, at an APR of 4%. Arthur would like the account balance to reach $20,000 on January 15th 2026.
Determine how much money Arthur should initially deposit so that he achieves his goal. Round your answer to
two decimal places.

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