Nicolet wants to buy a new state of the art computer for r35 000. she decides to save by depositing an amount of r500 once a month into an account earning 11,32% interest per year, compounded monthly. the approximate time it will take nicolet to have r35 000 available is

54.72 months

Step-by-step explanation:

Given:

Future value = R35,000

Annuity = R500

Interest = 11.32% per year

Interest per month, r = = 0.943% = 0.00943

Let 'n' be the total time in months taken

Now,

Future value of annuity is calculated using the formula as:

on substituting the respective values, we get

or

or

1.6601 = 1.00943ⁿ

taking log both sides, we get

log(1.6601) = n × log(1.00943)

or

0.22= n × 0.00402

or

n = 54.72  months