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3 years ago

X=Y- h for y The solution is y

Mathematics

2 answers:

NemiM [27]3 years ago

7 0

Answer:

y=x+h

Step-by-step explanation:

1. x=y-h

2. add h to each side to cancel out the -h on the side with the y to get y by itself

3. you should get y=x+h which is the same as x+h=y

choli [55]3 years ago

5 0

Answer:

y = x + h

Step-by-step explanation:

Given

x = y - h ( isolate y by adding h to both sides )

x + h = y

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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

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

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

$z=\$2,300$

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3 years ago