The amount after 10 years is $11,842.43
In continuous compounding the number of times by which compounding occurs tends to infinity.
In order to calculate the amount use the following formula
A= Pe^rt
where P represents the initial amount, e is the mathematical constant having value 2.7182, r is the rate of interest and t is the time period
Here the principal amount is $6000, r is 6.8 and time period t is 10 years
A = $6000 x 2.718^(10 x 6.8% )
A = 6000 x 2.718 ^ (10 x 6.8/100)
A = 6000 x 2.718^ 0.68
A = $ 11,842.43
Therefore the total amount calculated after 10 years is $ 11,842.43
To learn more about compound interest refer here
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