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The question from the image asks the following:

> "El año pasado, Juan abrió una cuenta de inversiones con $78,000. Al final del año la cantidad en la cuenta había aumentado un 7.5%. ¿Cuánto es este aumento en pesos? ¿Cuánto dinero había en su cuenta al final del año?"

### Solution:
1. Initial investment amount: $78,000
2. The increase percentage: 7.5%

#### Step 1: Calculate the increase in pesos
\[
\text{Increase} = 78,000 \times \frac{7.5}{100} = 78,000 \times 0.075 = 5,850
\]

#### Step 2: Calculate the final amount in the account
\[
\text{Final Amount} = 78,000 + 5,850 = 83,850
\]

### Conclusion:
- The increase in pesos is **$5,850**.
- The total amount in the account at the end of the year is **$83,850**.

Would you like any additional details or explanations?

Here are 5 related questions to consider:
1. What would be the final amount if the percentage increase was 10% instead of 7.5%?
2. How much would the account hold after 5 years if it continues to increase by 7.5% annually?
3. How do we calculate compound interest if the increase is compounded monthly instead of yearly?
4. If the account had an initial amount of $100,000, how much would the increase be at 7.5%?
5. How much would the account grow if Juan added an extra $10,000 every year to the investment?

**Tip:** Always convert percentages into decimals by dividing by 100 before performing calculations.

El año pasado, Juan abrió una cuenta de inversiones con $78,000. Al final del año la cantidad en la cuenta había aumentado un 7.5%. ¿Cuánto es este aumento en pesos? ¿Cuánto dinero había en su cuenta al final del año?

Learn how to calculate the increase on an investment of $78,000 with a 7.5% growth. This example breaks down the step-by-step process, resulting in a total increase of $5,850 and a final amount of $83,850 in the account at the end of the year.

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