Respuesta :

The value of the investment after 11 years if compounded continuously = $7465.98 .

Continuously compounded :

Continuously compounded interest means that an account balance is continually earning interest, as well as refeeding that interest back into the balance so that it, too, earns interest. continuing compounding means that there's no limitation to how frequently interest can compound. Compounding continuously can happen an limitless number of times, importing a balance is earning interest at all times.

Evaluating the value :

Investment = $ 4,100

Interest      = 5.6 %

Time         =  11 years

Amount = investment [ 1 + [tex]\frac{r}{100}[/tex] ]ⁿ

Amount =    4100 [ 1 + [tex]\frac{5.6}{100}[/tex] ]¹¹

Amount =    $ 7465.9823

The value of investment after 11 years = $ 7465.98 .

Investment value :

Investment value is the quantity of money an investor would compensate for a property. It refers to an asset's special value grounded on anonymous parameters. It's an individuality measure of the asset's property value

Learn more about compound interest :

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