What amount invested each year at $9\%$ annually will grow to

$$1,600,000$ at the end of $30$ years? a$.$$$25,517$ b$.$$$18,825\mathrm{.}93$ c$.$$$11,738$ d$.$$$26,878$

$5)$

If the payments in #$4$ were made at the beginning of the year, what amount would need to be invested each year $?$ a$.$$$2,107\mathrm{.}13$ b$.$$$10,769$ c$.$$$25,119\mathrm{.}51$ d$.$$$16,073$