To calculate the interest Gabriel will earn in 6 months, we use the formula:

$i = prt$

where:

• $p = 67,740$ (the principal amount)
• $r = 0.10$ (the interest rate as a decimal, since 10% = 0.10)
• $t = 0.5$ (time in years, since 6 months is half a year)

Now, plug in the values:

$i = 67,740 \times 0.10 \times 0.5$

Let's calculate this:

$i = 67,740 \times 0.05 = 3,387$

So, the interest Gabriel will earn in 6 months is:

$\boxed{3,387}$

Would you like more details or have any questions?

Related Questions:

1. How much interest would Gabriel earn in one year at the same rate?
2. What would the interest be if the interest rate was compounded annually instead?
3. How much total money will Gabriel have in his account after earning the interest?
4. What would the interest be for different time periods, like 3 months or 9 months?
5. How would the interest change if the rate were 8% instead of 10%?

Tip:

Always convert the time period into years when using the simple interest formula!