Five investments all have the same value today $($the present value is the same for each$).$

Which of the following will generate the highest return?

a$.10,000$ given $10$ years from today

b$.5,000$ given $5$ years from today and $5,000$ given $10$ years from today

c$.1,000$ given each year from $t=1$ to $t=5$ and $5,000$ given $10$ years from today

d$.1,000$ given each year from $t=1$ to $t=10$

e$.1,000$ given each year from $t=1$ to $t=5$ and $5,000$ given at $t=6$

A bank offers $6\%$ APR on saving accounts, what is the effective annual rate $($EAR$)$ if the

interest is compounded monthly?

a$.128\mathrm{.}75$

b$.79\mathrm{.}59\%$

c$.6\mathrm{.}17\%$

d$.5\%$

Derek currently has $10,000$ in an account that pays $5\%.$ He will withdraw $2,500$ every other

year beginning next year and ending in year $9.$ How much will be in the account $20$ years

from today?

a$.2,906\mathrm{.}21$

b$.298\mathrm{.}27$

c$.1,547\mathrm{.}54$

d$.183\mathrm{.}11$

Please show all the steps and formulas. Thank you for the help!