Final answer:
The value of the house after a 33.5% increase over 5 years on an original price of $25,350 is $33,842.25.
Step-by-step explanation:
The man bought the house for $25,350, and after 5 years, its value increased by 33.5%. To find the house's value after the increase, we calculate 33.5% of the original price and add it to the original price.
First, find 33.5% of $25,350:
33.5% of $25,350 = 0.335 × $25,350
= $8,492.25
Then, add the increase to the original price to find the total value after 5 years:
$25,350 + $8,492.25 = $33,842.25
Therefore, the value of the house after 5 years is $33,842.25.