mati666
contestada

Carl deposited $5,142 into a savings account 20 years ago. The account has an interest rate of 3.8% and the balance is currently $10,994.58. How often does the interest compound? daily monthly quarterly annually

Respuesta :

The answer is it is compounded monthly which is 365/yr.


This is done using trial and error but I got it right at the first try.


Solution:

A = P (1+r/n) ^nt


Where:

A is the accrued amount or also known as the future value


P is the principal amount = $5,142


r is the nominal interest rate = 0.038


n is the number of compounding units = 365


t is time = 20


 

A = 5,142 (1 + 0.038/365) ^ 365(20)


= 5,142 (1.0001041095890410958904109589041)^7300


= 5.142 (2.13819163)


= $10994.58