Question

Qual sera o valor do juros correspondente a um emprestimo de 15.000 no prazo de 1 ano, 2 meses e 25 dias em uma taxa de juros composto de 2,5% ao mes

Answer 1

470.273

Explanation:

Given the following :

Amount of loan = $15,000

Interest rate = 2.5%, compounded monthly

Period = 1 year, 2 months, 25 days

Using the compound interest formula:

A = P(1 + r/n)^(n*t)

A = final amount, p = principal

r = interest rate ; n = number of times Interst is compounded per time period

t = number of time period elapsed

Period = 1 year, 2 months, 25 days since the

Hence, t = 1+(2÷12)+(25÷(30×12))

A = 15000(1 + 0.025 / 12)^(12×1.2361111)

A = 15000(1 + 0.0020833)^14.833333

A = 15000(1.0020833)^14.833333

A = 15000(1.0313515)

A = 15470.273

Hence, Interest equals :

15470.273 - 15,000

= 470.273