2

Set 13: Linear Equations

Explanation

Answer: D

A total of $10,000 is invested, part at 4% and part at 6%. Total interest is $520. How much at 6%?

A.

5000

B.

4000

C.

7000

D.

6000

✓ Correct

Detailed Explanation

Choice D is correct. Choice D is the correct answer. 1. Define: 6% = xx, 4% = 10000x10000- x. 2. Equation: 0.06x+0.04(10000x)=5200.06x + 0.04(10000 - x) = 520 3. Simplify: 0.06x+4000.04x=5200.06x + 400 - 0.04 x = 520 4. Combine: 0.02x=1200.02x = 120 5. Divide by 0.02: x=6000x = 6000 Choice B is incorrect because this is the amount at 4%. Choice A is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 6000

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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