24) Find the total income produced by a continuous income stream in the first nine years if the rate of flow is f(t) = 3300.

25) Find the total income produced by a continuous income stream in the first four years if the rate of flow is f(t) = 500e0.03t. (Round answer to the nearest dollar.)

Respuesta :

Answer:

24. $ 29700           25. $ 2125

Step-by-step explanation:

24.The total income produced by the continuous income stream in the first 9 years is given by,

$ [tex](\int_{0}^{9}(3300)dt)[/tex]

=  $ ([tex]3300 \times 9[/tex])

= $ 29700

25. The total income produced by the continuous income stream in the first 4 years is given by,

$ [tex](500 \times \int_{0}^{4}(e^{0.03t})dt)[/tex]

= $ [tex](\frac {500}{0.03} \times [e^{0.03t}]_{0}^{4})[/tex]

=  $ [tex](\frac {500}{0.03} \times (e^{0.12} - 1))[/tex]

[tex]\simeq[/tex] $ 2125