We have seen before that money deposited into an account with continuous interest follows the A = Pe' formula. However, this required strict conditions %3D that the money cannot be withdrawn or added...

Extracted text: We have seen before that money deposited into an account with continuous interest follows the A = Pe' formula. However, this required strict conditions %3D that the money cannot be withdrawn or added to throughout the term of the investment. A more complicated model that allows for deposits/withdraws is: A (t) = Pert + K (ert – 1 | where K is the constant amount deposited (K> 0) or withdrawn (K < 0)="" each="" year.="" problem:="" a="" $270,000="" home="" mortgage="" with="" a="" rate="" of="" 5.3="" %="" compounded="" continuously="" is="" borrowed="" for="" a="" period="" of="" 30="" years.="" (a)="" find="" the="" amount,="" k,="" that="" is="" needed="" to="" be="" paid="" off="" each="" year.="" (note:="" your="" k="" value="" should="" be="" negative="" because="" it="" is="" a="" "withdraw"="" from="" the="" principal,="" but="" your="" answer="" should="" be="" reported="" as="" a="" positive="" number)="" to="" pay="" off="" the="" loan="" in="" 30years,="" $="" number="" would="" need="" to="" be="" paid="" off="" each="" year.="" (round="" to="" the="" nearest="" cent)="" (b)="" using="" the="" value="" found="" in="" part="" (a),="" how="" much="" money="" will="" be="" spent="" over="" the="" period="" of="" the="" loan="" repaying="" the="" initial="" balance="" of="" $270,000?="" $="" number="" (round="" to="" the="" nearest="">