Question

Katie had a high monthly food bill before she decided to cook at home every day in order to reduce her expenses. She starts to save $1,410 every year and plans to renovate her kitchen. She deposits the money in her savings account at the end of each year and earns 5% annual interest. Katie’s savings are an example of an annuity. If Katie decides to renovate her kitchen, how much would she have in her savings account at the end of eight years?

Answer 1

Answer: $13,464.23‬

Step-by-step explanation:

Kate is saving a constant amount of $1,410 per year so indeed it is an annuity.

The amount she will have in the account after 8 years is the future value of the annuity after 8 years.

The formula is;

Future Value of Annuity = Annuity * (future value factor of annuity, 8 years, 5%)

= 1,410 * 9.5491

= 13,464.231‬

= $13,464.23‬