The following two exercises consider a bank investment. The initial investment is $$10,000.$ After $25$ years, the investment has tripled to $$30,000.$

$462.$ Use Newton's method to determine the interest rate if the interest was compounded annually.

$463.$ Use Newton's method to determine the interest rate if the interest was compounded continuously.

$464.$ The cost for printing a book can be given by the equation $C(x)=1000+12x+(\frac{1}{2})x^{\frac{2}{3}}.$ Use Newton's method to find the break$-$even point if the printer sells each book for $$20.$

please can you answer both $463$ and $464$ thank you!