Final answer:
The man will have $33.80 after investing $26 into an account with a 30% annual increase, making option c the correct answer.
Step-by-step explanation:
The student's question involves calculating the future value of an investment after one year, given a 30% increase. If the man invests $26 into this account, after one year the amount will increase by 30%. To calculate this, we need to multiply the original investment by 1 plus the rate of increase (30% or 0.30).
The calculation will be as follows:
$26 × (1 + 0.30) = $26 × 1.30 = $33.80.
Therefore, the man will have $33.80 after one year, which corresponds to option c. To calculate the amount of money the man will have after a year, we need to find 30% of $26 and add it to the original amount.
30% of $26 = $7.80
Add $7.80 to $26 = $33.80
So, the man will have $33.80 after a year.