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Betty invested some money at 10% interest. Betty also invested $213 more than 5 times that amount at 6%. How much is invested at each rate if Betty receives $1796. 78 in interest after one year? (Round 2 decimal places if needed)



Use variables X and Y to set up a system of 2 equations to solve the given problem.

Answers

Answer 1

Betty invested $4300 at 10% interest and $10750 at 6% interest.

Let's denote the amount invested at 10% interest by X and the amount invested at 6% interest by Y.

According to the given information, Betty invested some money at 10% interest. This can be represented as the equation: 0.10X.

It is also stated that Betty invested $213 more than 5 times the amount invested at 10% interest at 6% interest. This can be represented as the equation: 0.06(5X + 213).

Furthermore, Betty received $1796.78 in interest after one year. This information gives us the equation: 0.10X + 0.06(5X + 213) = 1796.78.

Simplifying the equation, we have: 0.10X + 0.30X + 12.78 = 1796.78.

Combining like terms, we get: 0.40X + 12.78 = 1796.78.

Subtracting 12.78 from both sides of the equation, we have: 0.40X = 1784.

Dividing both sides by 0.40, we get: X = 4460.

Therefore, Betty invested $4460 at 10% interest.

Substituting this value back into the equation for Y, we have: Y = 5X + 213 = 5(4460) + 213 = 10750.

Therefore, Betty invested $10750 at 6% interest.

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By default, artboards are listed in the Artboards panel

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By default, artboards are listed in the Artboards panel in Adobe Illustrator. The Artboards panel is a useful feature in Illustrator that allows users to manage and organize multiple artboards within a single document. It provides an overview of all the artboards present in the document and allows users to easily navigate between them.

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