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Lenny deposited $275 in a savings account that earns 4% simple interest per year. Patty deposited $300 in a savings account that earns 2% simple interest. Which of the following statements will be true at the end of 5 years?

Question

Lenny deposited 275inasavingsaccountthatearns4275 in a savings account that earns 4% simple interest per year. Patty deposited 300 in a savings account that earns 2% simple interest. Which of the following statements will be true at the end of 5 years?

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Solution

To answer this question, we first need to calculate how much money each person will have at the end of 5 years.

  1. Calculate the interest Lenny earns: Simple interest is calculated using the formula I = PRT, where P is the principal amount, R is the rate of interest, and T is the time in years. For Lenny, P = 275,R=4/100=0.04,andT=5years.So,I=2750.045=275, R = 4/100 = 0.04, and T = 5 years. So, I = 275 * 0.04 * 5 = 55. Therefore, at the end of 5 years, Lenny will have 275+275 + 55 = $330.

  2. Calculate the interest Patty earns: For Patty, P = 300,R=2/100=0.02,andT=5years.So,I=3000.025=300, R = 2/100 = 0.02, and T = 5 years. So, I = 300 * 0.02 * 5 = 30. Therefore, at the end of 5 years, Patty will have 300+300 + 30 = $330.

So, the statement that will be true at the end of 5 years is: "Lenny and Patty will have the same amount of money in their savings accounts."

This problem has been solved

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