Question $10[10$ points$]$

Pace Design purchased $4,000$ items at $$3\mathrm{.}70$ each less $20\%$ and $10\%.$ On June $25,2024,$ it received an invoice dated June $18$ of the same year with terms $\frac{3}{15},\frac{n}{40}.$ Answer the following questions.

Please make sure your final amounts are accurate to the nearest cent. Dates must be entered in the format YYYY$-$MMM$-$DD $($ie$.$ January $152007$ would be $2007-$Jan$-15).$

Click here for help computing the number of days between two dates.

a$)$ For how much was the invoice?

b$)$ What was the final date to take the discount?

Final date for the discount $=$ YYYY$-$MMM$-$DD

c$)$ How much must have been sent by that date in order to get credit for paying the invoice in full?

Discount invoice amount $=$$$0\mathrm{.}00$

d$)$ What was the last possible date that the invoice could be paid without possible negative consequences?

Final date to avoid possible penalty $=$ YYYY$-$MMM$-$DD