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3 years ago

how can i create a linear inequality with both a constant and a linear term on each side and that ha x>7 as a solution.

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

5 0

2x + 0 > x + 7
2x - x > 0 + 7
x > 7

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Given that cos (x) = 1/3, find sin (90 - x)

drek231 [11]

$\sin{(A - B)} \equiv \sin{A}\cos{B} - \cos{A}\sin{B} \\\\
\therefore \sin{(90 - x)}\\
 = \sin{(90)}\cos{(x)} - \cos{(90)}\sin{(x)} \\
= (1)\cos{(x)} - (0)\sin{(x)} \\
= \cos{x} - 0 \\
= \cos{x} \\
= \frac{1}{3}
$

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Ymorist [56]

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3 years ago

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IRISSAK [1]

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Step-by-step explanation:

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3 years ago

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Dahasolnce [82]

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3 years ago

Phil has $20,000, part of which he invests at 8% interest and the rest at 6%. If the total income from the two investments was $

Salsk061 [2.6K]

Answer: 7000

Step-by-step explanation:

Let the amount invested in 8% account be P1 and the amount invested in 6% account be P2

. If the total amount invested is $20,000 then:

P1+P2=20,000. (Eq. 1)

The interest earned in one year from the 8% account is:

I1=0.08P1

and the interest earned in one year from the 6% account is:

I2=0.06P2

If the total interest earned is $1460, then:

I1+I2=1460

0.08P1+0.06P2=1460

(Eq. 2) From Eq. 1 :

P1=20000−P2

Substituting this into Eq. 2:

0.08 (20000−P2) + 0.06P2 = 1460

1600 − 0.08P2 + 0.06P2 = 1460

0.02P2 = 140

P2 = 140 / 0.02

P2 = 7000

Hence, he invested $7000 at the rate of 6%.

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3 years ago