Rosie Malone sold her house to D$.$M$.$ Band. The contract was signed on June $1,2023,$ and closing was set for June $25,2023.$ Rosie had prepaid her three$-$year pest and termite protection policy in the amount of $$1,825$ on April $1,2022,$ and D$.$M$.$ agreed to assume it at closing. Water and sewer are paid the first of each month for the previous month. They are estimated to total $$200$ for June. D$.$M$.$ also agrees to assume Rosie$$s mortgage, which will have a balance of $$85,385$ on date of closing. Monthly payments are $$569\mathrm{.}23,$ with interest for June of $$204\mathrm{.}62,$ payable on the first of the month for the previous month. The seller is responsible for the day of closing.

Required:

How will the monthly mortgage payment be prorated?

Note: Round intermediate calculations to $3$ decimal places and your final answers to $2$ decimal places.Rosie Malone sold her house to D$.$M$.$ Band. The contract was signed on June $1,$

$2023,$ and closing was set for June $25,2023.$ Rosie had prepaid her three$-$year

pest and termite protection policy in the amount of $$1,825$ on April $1,2022,$ and

D$.$M$.$ agreed to assume it at closing. Water and sewer are paid the first of each

month for the previous month. They are estimated to total $$200$ for June. D$.$M$.$

also agrees to assume Rosie's mortgage, which will have a balance of $$85,385$

on date of closing. Monthly payments are $$569\mathrm{.}23,$ with interest for June of

$$204\mathrm{.}62,$ payable on the first of the month for the previous month. The seller is

responsible for the day of closing.

Required:

How will the monthly mortgage payment be prorated?

Note: Round intermediate calculations to $3$ decimal places and your final

answers to $2$ decimal places.