APRENDA JUROS SIMPLES EM 6 MINUTOS

Summary

In this instructional video, the presenter teaches how to calculate simple interest and the total montante using the 'Método Curió'. The video breaks down the steps, focusing on the importance of ensuring that the interest rate and time are in the same units. The presenter walks through an example with a capital of R$ 900, a 5% monthly interest rate, and 120 days, explaining how to apply the formula and convert units. Viewers are encouraged to learn the method for easier, more effective problem-solving in simple interest calculations.

Takeaways

• 😀 Simple Interest Formula: Interest = Capital x Rate x Time.
• 📅 Always ensure the rate and time units match (e.g., both in months).
• 📊 When converting percentage to fraction, divide by 100 (e.g., 5% becomes 5/100).
• 💡 The formula for calculating simple interest is straightforward but requires careful unit alignment.
• 🔢 Capital is the initial investment, and the interest is calculated based on that capital.
• ⏳ Time should be converted to the same unit as the rate (e.g., months, days, years).
• ✍️ The method presented is called the 'Curió Method,' a simple and effective way to understand interest calculations.
• 🧮 The interest amount is added to the initial capital to find the total amount (Montante).
• 🧐 Example: For a R$900 investment at 5% per month for 120 days (4 months), the interest is R$180, and the total amount is R$1,080.
• 📈 Always write down all known information from the problem (capital, rate, time) to avoid errors.
• 🎓 The post promotes a comprehensive math course available in the description for deeper learning.

Q & A

What is the formula for calculating simple interest?

The formula for calculating simple interest is: I = C × t × (r / 100), where I is the interest, C is the capital (initial amount), r is the interest rate, and t is the time period the money is invested or borrowed.

Why is it important to ensure that the units of interest rate and time match?

It is important to ensure that the units of interest rate and time match (e.g., both in months or both in years) to avoid calculation errors. For example, if the interest rate is given per month, the time should also be in months for consistency.

How should you convert a percentage interest rate into a fraction?

To convert a percentage into a fraction, divide the percentage by 100. For example, a 5% interest rate becomes 5/100 or 0.05.

In the example provided, how was the time of 120 days converted into months?

The time of 120 days was converted into months by dividing 120 by 30 (since each month is considered to have 30 days), resulting in 4 months.

What is the significance of the term 'montante' in simple interest calculations?

The term 'montante' refers to the total amount of money at the end of the investment period, which is the sum of the original capital (C) and the interest (I) earned.

What is the total amount (montante) for an initial capital of R$ 900 at 5% interest per month for 120 days?

The total amount (montante) is R$ 1080. The interest earned is R$ 180, calculated by multiplying the capital (R$ 900) by the interest rate (5%) and the time period (4 months).

What should you do if the interest rate and the time period are given in different units?

You should convert the time period to match the units of the interest rate. For instance, if the interest rate is per month and the time is given in days, convert the days into months before applying the formula.

How can you simplify the calculation when using the formula for simple interest?

Simplify the calculation by reducing fractions or canceling out common terms before multiplying. For example, in the problem, simplifying 5/100 and the time period in months made the calculation more straightforward.

What is the difference between the interest (I) and the total amount (montante)?

The interest (I) is the extra amount earned or charged, while the total amount (montante) is the sum of the initial capital and the interest earned.

What is the purpose of the course mentioned in the video description?

The course mentioned in the video is designed to help learners understand mathematics from the basics to advanced topics, with a particular focus on financial calculations like simple interest.