Q:

In how many months will the capital (C) R$50,000.00 yield R$11,800.00 in simple interest (Js) if it is remunerated at the rate (i) of 4% per month?

Accepted Solution

A:
To calculate the number of months it will take for a capital of R$50,000.00 to yield R$11,800.00 in simple interest at a rate of 4% per month, we can use the formula for simple interest. The formula for simple interest is S.I. = (P Γ— R Γ— T)/100, where P is the principal, R is the rate of interest, and T is the time period. Rearranging the formula to solve for T, we get T = (S.I. Γ— 100)/(P Γ— R). Substituting the given values, we get T = (11,800 Γ— 100)/(50,000 Γ— 4) = 5.9 months. Therefore, it will take approximately 5.9 months for the capital of R$50,000.00 to yield R$11,800.00 in simple interest at a rate of 4% per month.