Alright, let's solve this problem step-by-step:
1. Determine the total value of the asset:
- The asset value is [tex]$200,000.
2. Calculate the down payment percentage:
- The down payment percentage is provided as 15%.
3. Find the down payment amount:
- To find the down payment amount, you multiply the asset value by the down payment percentage.
- Down payment amount = \( 200,000 \times 0.15 \)
- Down payment amount = $[/tex]30,000.
4. Calculate the remaining amount that needs to be loaned:
- To find the loan value, you subtract the down payment amount from the total asset value.
- Loan value = [tex]\( 200,000 - 30,000 \)[/tex]
- Loan value = [tex]$170,000.
Thus, the loan value that will need to be borrowed from the bank after making a 15% down payment on a $[/tex]200,000 asset is $170,000.