On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 4% interest, compounded continuously. Determine the balance in this account on the child's 29th birthday. (Round your answer to two decimal places.)

Respuesta :

Answer: $95,697

Explanation:

Given that,

A parent deposits = $30,000 in a trust fund

Interest rate (r) = 4% = 0.04

t = 29 years

Amount = Principle × [tex]e^{rt}[/tex]

             = 30,000 × [tex]e^{0.04\times29}[/tex]

             = 30,000 ×  [tex]e^{1.16}[/tex]

             = 30,000 × 3.1899

             = $95,697

Therefore, the balance in this account on the child's 29th birthday is $95,697.