Answer :

The simple interest is $6,240.00.

The term simple interest refers the interest that is only calculated on the initial sum borrowed or deposited.

Here we need to find  the simple interest on $6000 from 16 may 2010 to 9 October 2010 at 10% per annum.

While we looking into the given question, we know te following values,

Principal amount = $6000

Time period = 16 may 2010 to 9 October 2010

The number of days between 16 may 2010 to 9 October 2010 is

=> 146 days.

Here we have the interest for 1 year,

So, the time period is written as,

And then we have to put time into years for simplicity,

146 days / 365 days/year = 0.4 years.

And the interest rate = 10%

Here we have to convert R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year.

Now, we have to apply the values on the formula, then we get by solving our equation:

A = 6000(1 + (0.1 × 0.4)) = 6240

A = $6,240.00

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 10% per year for 0.4 years (146 days) is $6,240.00.

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