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? $13,464.24 $14,137.46 $11,444.60 $9,113.13

Question

Caroline Butler

Business

9 March, 15:03

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? $13,464.24 $14,137.46 $11,444.60 $9,113.13

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Answers (1)

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Jada Zavala · Answer 1

The c orrect answer is A.

Explanation:

Giving the following information:

Annual deposit = 1,410

Annual interest rate = 5%

Number of years = 8 years

To calculate the future value of her investment, we need to use the following formula:

FV = {A*[ (1+i) ^n-1]}/i

A = annual deposit

FV = {1,410*[ (1.05^8) - 1]} / 0.05

FV = $13,464.24