$9.$ Future value of annuities

Which of the following statements about annuities are true? Check all that apply.

An annuity due earns more interest than an ordinary annuity of equal time.

An annuity due is an annuity that makes a payment at the end of each period for a certain time period.

A perpetuity is a constant, infinite stream of equal cash flows that can be thought of as an infinite annuity.

Ordinary annuities make fixed payments at the end of each period for a certain time period.

Which of the following is an example of an annuity?

A fund that invests in technology companies and distributes quarterly dividends for two out of four quarters per year but not always the same quarters.

A retirement fund set up to pay a series of regular payments.

Ashley has a large and growing collection of animated movies. She wants to replace her old television with a new LCD model, so she has started saving for it$.$ At the end of each year, she deposits $$780$ in her bank account, which pays her $7\%$ interest annually. Ashley wants to keep saving for six years and then buy the newest LCD model that is available. Ashley$$s savings are an example of an annuity. How much money will Ashley have to buy a new LCD TV at the end of six years?

$$3,717\mathrm{.}90$

$$4,742\mathrm{.}63$

$$5,970\mathrm{.}14$

$$5,579\mathrm{.}57$

If Ashley deposits the money at the beginning of every year and everything else remains the same, she will save by the end of six years.