Question $10$

You plan to deposit your savings of $$1600$ in an account that compounds interest annually.

a$.$ Write a formula for the amount, $A,$ in your savings account after two years in terms of the interest rate, $r.$

$A=$

b$.$ Complete the table showing your account balance after two years for various interest rates $($round to $2$ decimal places$).$

$\backslash$table$[[r,0\mathrm{.}02,0\mathrm{.}04,0\mathrm{.}06,0\mathrm{.}08],[A,,,,]]$

c$.$ To the nearest hundredth of a percent, what interest rate will you require if you want your $$1600$ to grow to $$1900$ in two years?

$\%$