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vodka [1.7K]
3 years ago
12

7 (c + 4) - 19= -26 Can some please do the working out (Example in the photo)

Mathematics
1 answer:
wlad13 [49]3 years ago
3 0
<h3>Steps for solving:</h3><h3 />

1. First you want to simplify the left side by distributing the 7 through both of your terms inside the set of parentheses.  

2. This leaves us with 7c + 28 - 19 = -26

3. We can simplify one step further on the left side

by subtracting 28 - 19 to get 9.

4. So we have 7c + 9 = -26.

5. Now subtract 5 from both sides to get 7c = -35.

6. Finish things off by dividing both sides by 7 and we find that c = -5

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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>

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x \times 3 \% + (6000 - x) \times 8 \% = 380

<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

$ 4000 is invested at 8 % interest

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