Respuesta :

A=pe^rt
A=65,000×e^(0.073×10)
A=134,880.24

Using continuous compounding, it is found that the money accumulated in the investment will be of $134,880.

What is the continuous compounding formula?


The amount of money after t years, with continuous compounding, is given by:

[tex]A(t) = Pe^{kt}[/tex]

In which:

  • P is the initial amount.
  • k is the growth rate, as a decimal.

In this problem, we have that the parameters are given by:

P = 65000, r = 0.073, t = 10.

Then, the amount is given by:

[tex]A(t) = Pe^{kt}[/tex]

[tex]A(10) = 65000e^{0.073 \times 10}[/tex]

A(10) = 134880.

More can be learned about continuous compounding at https://brainly.com/question/24722580

#SPJ2