On your 16th birthday, you open a savings account with $1000. The account pays 4% compound interest. How much will be in the account on your 50th birthday (the beginning of the 35th year in the account)? i don't really understand compound interest that well

Respuesta :

Answer:

Approximately $4946

Step-by-step explanation:

The compound interest can be determined by:

Compound interest = P [tex](1 + r)^{T}[/tex]

Where: P is the principal, r is the rate and T is the number of years.

Given that: P = $1000, r = 4% and T = 34 years, then;

Compound interest = 1000 [tex](1 + \frac{4}{100}) ^{34}[/tex]

                                = 1000 [tex](1 + 0.04)^{34}[/tex]

                                = 1000 [tex](1.04)^{34}[/tex]

                                = 1000 x 3.79431

                                = 3794.31

Compound interest ≅ $3794

The amount that would be in the account = Principal + interest

                                            = $1000 + $3794

                                            ≅ $4794