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Viktor [21]
4 years ago
15

What is the solution to the problem rounded to the correct number of significant figures

Mathematics
2 answers:
kogti [31]4 years ago
7 0
32.841 is the answer
vagabundo [1.1K]4 years ago
6 0
8.01 X 4.1 = 32.841
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A total of $6000 was invested, part of it at 3% interest and the remainder at 8%. If the total yearly interest amounted to $380,
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$ 2000 is invested at 3 % interest and $ 4000 is invested at 8 % interest

<em><u>Solution:</u></em>

Given that, total of $6000 was invested

Let "x" be the amount invested at 3 % interest

Then, (6000 - x) is the amount invested at 8 % interest

Given that,

<em><u>The total yearly interest amounted to $380</u></em>

Then, we can frame a equation as:

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<em><u>Solve the above expression for "x"</u></em>

x \times \frac{3}{100} + (6000-x) \times \frac{8}{100} = 380\\\\0.03x + (6000-x) \times 0.08 = 380\\\\0.03x + 480 - 0.08x = 380\\\\-0.05x = -100\\\\\text{Divide both sides by -0.05 }\\\\x = 2000

Thus, $ 2000 is invested at 3 % interest

(6000 - x) = 6000 - 2000 = 4000

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