$1.$ An accountant forgot to pay the firm's taxes on time. The tax bill was $$30,753.$ The government charged a penalty based on an annual interest rate of $4\mathrm{.}49\%$ for the $40$ days the money was late. Assume there are $365$ days in the year.

Find the total amount that had to be paid $($tax $+$ penalty$).$

Enter a number rounded to two decimal places.

$2.$ A person deposits $$1,758$ in an account that pays $5\mathrm{.}61\%$ interest per year. Interest is compounded $8$ times per year. The money remains in the account for $7$ years.

How many compounding periods are there during the time the money remains in the account?

Enter a whole number.