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Amira invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.015 . What percent simple interest does the account earn per year?
Answer: ______ 
%

Amira invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 11.015015 . What percent simple interest does the account earn per year?\newlineAnswer: ______ % \%

Full solution

Q. Amira invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 11.015015 . What percent simple interest does the account earn per year?\newlineAnswer: ______ % \%
  1. Understand the problem: Understand the problem.\newlineAmira's investment grows by a factor of 1.0151.015 in one year. This means that for every dollar invested, she will have $1.015\$1.015 after one year. The growth factor represents the original amount plus the interest earned.
  2. Determine percent increase: Determine the percent increase that the factor 1.0151.015 represents.\newlineSince the original amount is considered to be 100%100\% (or a factor of 11), the growth to 1.0151.015 represents the original amount plus the interest. Therefore, the interest is the growth factor minus 11.\newlineInterest factor = 1.0151=0.0151.015 - 1 = 0.015
  3. Convert interest factor: Convert the interest factor to a percentage.\newlineTo find the percentage, we multiply the interest factor by 100100.\newlinePercent interest = 0.015×100%0.015 \times 100\%\newline= 1.5%1.5\%