Company $x$ sells on a $\frac{2}{15},$ net $90,$ basis. Company $Y$ buys goods with an invoice of $$1,000.$

a$.$ How much can company $Y$ deduct from the bill if it pays on day $15?$

Note: Do not round intermediate calculations.

b$.$ How many extra days of credit can company $Y$ receive if it passes up the cash discount?

c$.$ What is the effective annual rate of interest if $Y$ pays on the due date rather than day $15?$

Note: Use $365$ days in a year. Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal

places.

Answer is complete but not entirely correct.