# A man invests a certain amount of money at 2% and $800 more than that amount in another account at 4% interest. At the end of the one year, he earned $112 in interest. How much money was invested in each account?

As the time is only 1 year, it does matter whether it is simple or compound interest.

Define each amount of money using a variable.

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Let x be the amount invested at 2% interest. Then, the amount invested at 4% interest would be (x + 800). The interest earned from the investment at 2% interest is 0.02x. The interest earned from the investment at 4% interest is 0.04(x + 800). According to the given information, the total interest earned is $112. Therefore, the equation representing the total interest earned is: 0.02x + 0.04(x + 800) = 112. Solving this equation will give us the value of x, which represents the amount invested at 2% interest. After finding the value of x, we can calculate the amount invested at 4% interest, which is (x + 800).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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