Question

3. Mónica Andrea sacó un crédito y debe pagar 48 cuotas mensuales consecutivas vencidas de $450.000 mensuales. La tasa que le cobra el banco es del 22,6745% NAMV. ¿De cuánto fue el valor del crédito?

Answer 1

The value of the credit or present value is $\boxed{\ 14118.477}.$

Further explanation:

The compound interest rate formula can be expressed as follows,

$\boxed{{\text{PV}} = A \times \frac{{\left[ {1 - {{\left( {1 + \frac{i}{n}} \right)}^{ - n}}} \right]}}{{\frac{i}{n}}}}$

Here, $A$ represents the amount, $PV$ represents the present value, irepresent the interest rate and $n$ represents the time.

Given:

The number of months are $48{\text{ months}}.$

The interest rate is $i = 22.6745\%.$

The amount overdue is $\ 450.$

Explanation:

The value of $n$ is $48.$

The value of $i$ is $22.6745\%.$

The present value or the amount credit can be obtained as follows,

$\begin{aligned}{\text{PV}} &= {\text{A}} \times \frac{{\left[ {1 - {{\left( {1 + \frac{i}{{12}}} \right)}^{- 48}}} \right]}}{{\frac{i}{{12}}}}\\&= 450 \times \frac{{\left[ {1 - {{\left({1+\frac{{0.226745}}{{12}}} \right)}^{ - 48}}} \right]}}{{\frac{{0.226745}}{{12}}}}\\&= 450 \times \frac{{0.5928}}{{0.0189}}\\&= \ 14114.30\\\end{aligned}$

The value of the credit or present value is $\boxed{\ 14118.477}.$

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Loan Schedule

Keywords: Monica, Andrea, loan, 48 consecutive, monthly installments, overdue, $450000, per month, rate charged, band, 22.6745%, NAMV, the value of credit.

Answer 2

Answer:

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Step-by-step explanation: