Quick Print Press borrowed $$$$20,000$ from the Provincial Bank on May $25$ at$7\mathrm{.}5\%$ and secured the loan by signing a promissory note subject to a variable rate of interest. Quick Print made partial payments of$$ $$5000$ on July $10$ and$$ $$8000$ on September $15.$ The rate of interest was increased to$8\%$ effective August $1$ and to$8\mathrm{.}5\%$ effective October $1.$ What payment must Quick Print make on October $31$ if$,$ under the terms of the loan$$ agreement, any interest accrued as of October $31$ is to be paid on October$31?$

Part $1$

Quick Print must make a payment of $?$on October $31.($Round to the nearest cent as$$ needed.$)$ professor tip:$1.$ Make a timeline with all dates $.2.$ Calculate and check DBD$.$ Use the declining balance method to calculate the final interest due