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3 years ago

11

Find the length of the missing side of the right triangle below.

1 answer:

Elena-2011 [213]3 years ago

8 0

Answer:

your answer is a = <u>+</u> √105 .

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State the slope and y intercept of the graph of 9-x=2y

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The equation of a line is given by y = mx + c; where m is the slope.
The given equation is 9 - x = 2y
y = -1/2 x + 9/2
Therefore, the slope is -1/2 and the y-intercept is 9/2.

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3 years ago

Cuantas veces al día la manecilla de la hora de un reloj análogo pasa por un número múltiplo de 3.

Fiesta28 [93]

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4 years ago

Need help ASAP due in 30 minutes!

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Y=3x-4

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3 years ago

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2 years ago

Roberta has $10,540 to invest. She plans to invest her money in certificates of deposit (CDs) that have 2.1% interest, a stock p

ira [324]

Answer:

The amount invested in CDs is $1,340

The amount invested in the stock portafolio is $6,900

The amount invested in the saving accounts is $2,300

Step-by-step explanation:

Let

x ---->the amount invested in CDs at 2.1%

y ---> the amount invested in the stock portfolio at 2.5%

z ---> the amount invested in the savings account at 1.5%

$x+y+z=10,540$ ----> equation A

$z=\frac{1}{3}y$ ----> equation B

substitute equation B in equation A

$x+y+\frac{1}{3}y=10,540$

$x+\frac{4}{3}y=10,540$

$x=10,540-\frac{4}{3}y$ ----> equation C

we know that

The total interest earned by the three amount must be equal to $231.69

so

$0.021x+0.025y+0.015z=231.69$ ----> equation D

substitute equation B and equation C in equation D

$0.021(10,540-\frac{4}{3}y)+0.025y+0.015(\frac{1}{3}y)=231.69$

solve for y

$221.34-0.0315y+0.025y+0.005y=231.69$

$0.0015y=231.69-221.34$

$0.0015y=10.35$

$y=\$6,900$

<em>Find the value of x</em>

$x=10,540-\frac{4}{3}(6,900)$

$x=\$1,340$

<em>Find the value of z</em>

$z=\frac{1}{3}(6,900)$

$z=\$2,300$

7 0

4 years ago