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On the day of a child's birth, a parent deposits $35,000 in a trust fund that pays 4% interest, compounded continuously. Determine the balance in this account on the child's 24th birthday. (Round your answer to two decimal places.)

2 Answers

6 votes

Answer:

$91,409 .32

Step-by-step explanation:

the formula used to calculate continuously compounded interest:

A = Peˣⁿ

where:

  • A = future value = ?
  • P = principal = $35,000
  • e = mathematical constant = 2.71828
  • x = interest rate = 4% = 0.04
  • n = periods = 24 years

A = $35,000 x 2.71828⁰°⁰⁴ˣ²⁴ = $35,000 x 2.71828⁰°⁹⁶ = $35,000 x 2.61169 = $91,409.32

Continuously compounding interest means that your money and earned interest is earning interest all the time, i.e. it is continuously compounding infinitely many times per year.

User Merdan
by
7.5k points
3 votes

Answer:

$91,409

Step-by-step explanation:

Balance = 35000*e^(0.04*24)=$91409

User Furkan Kambay
by
7.8k points