$7.$ An auto repair shop borrowed $$17,000$ to be repaid by monthly payments over $7$ years. Interest on the loan is $3\%$ compounded monthly.a$)$ What is the size of the periodic payment?b$)$ What is the outstanding principal after payment $35?$c$)$ What is the interest paid on payment $36?$d$)$ How much principal is repaid in payment $36?$