A prospective homebuyer submits a signed offer with the condition that the seller pay for the inspection at closing. The seller disagrees, crosses out the provision, then signs and returns the document to the buyer. At this point, assuming all other contract validity items are in order, the original offer is now:

a counteroffer

Explanation:

Based on the information provided within the question it can be said that the original offer is still an offer but as the seller crossed out the provision and returned the offer it has now become a counteroffer. Meaning that it is a new offer with details from the original offer either removed or added, and is now up to the buyer to review and accept this new offer.

the investment was $14,174.196

explanation:

a lump sum means that the father of the example made one deposit and leave it be.

we need to know the value of a capital that generated at 4.05% per year during 28 years the sum of $48,613.24

now clearing the formula to solve for capital we got:

and we reach the answer investment = $14,174.20