What amount would be received on January 13, 2019 that is equivalent to $10,000 received on August 12, 2018, if money can earn a simple interest rate 9.5%

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The time between the two dates is 5 months which is 5/12 of a year, so the interest will be 5/12 of 9.5%=95/24%=95/2400=19/480. The interest is therefore 10000×19/480=$395.83. So $10,000 grows to $10,395.83 between the two dates.

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