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1 year ago

Helppppp1!!\ (2x+4)=-4(-2x-6)

Mathematics

1 answer:

yulyashka [42]1 year ago

4 0

Answer:

x=-10/3

Step-by-step explanation:

(2x+4)=-4(-2x-6)

distribute -4 to (-2x-6) by multiplying

negative multiplied by a negative is a positive

8x+24=2x+4

subtract 24 from each side

8x=2x-20

subtract 2x from each side 6x=-20

divide both sides by 6

-20/6

simply to -10/3 or -3 1/3 or -3.3

x=-10/3

hope this helps! if you have any questions please ask!

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3 years ago

Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

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Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

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Divide both sides by 0.47

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Therefore,

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how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

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