What is the intersection of two distinct non-parallel planes

Rearrange each formula to make y the subject b) 5wy - 3 = 8y a) 5y + xy = 7

cupoosta [38]

Answer:

8y= 5y

5wy=xy

3-7

13y

6wxy

-4

3 0

3 years ago

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. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B y

tresset_1 [31]

Answer:

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

Step-by-step explanation:

Let

x -----> the amount invested at Investment A yields 5%

y -----> the amount invested at Investment B yields 8%

we know that

$x+y=5,000$

$x=5,000-y$ -----> equation A

$x \geq 0.25(5,000)$

$x \geq \$1,250$ -----> inequality B

$y \leq 0.50(5,000)$

$y \leq \$2,250$ -----> inequality C

$x \geq \frac{1}{2}y$ -----> inequality D

Substitute equation A in the inequality D and solve for y

$5,000-y \geq \frac{1}{2}y$

Multiply by 2 both sides

$10,000-2y \geq y$

Multiply by -1 both sides

$-10,000+2y \leq -y$

Adds y both sides

$-10,000+2y+y \leq 0$

$-10,000+3y \leq 0$

adds 10,000 both sides

$3y \leq 10,000$

Divide by 3 both sides

$y \leq \$3,333.33$ -----> inequality E

therefore

Solve for y

we have

$y \leq \$2,250$ -----> inequality C

$y \leq \$3,333.33$ -----> inequality E

The solution of inequality C and inequality E is

$y \leq \$2,250$

For y=2,250

x=5,000-y ----> x=5,000-2,250=2,750

so

$x \geq \$2,750$ -----> inequality F

Solve for x

we have

$x \geq \$1,250$ -----> inequality B

$x \geq \$2,750$ -----> inequality F

The solution of inequality B and inequality F is

$x \geq \$2,750$

therefore

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

7 0

3 years ago

:

ch4aika [34]

Divide each set to see if the answers are identical:

A: 3/2 = 1.5

6/3 = 3

Answers are not the same so this is not proportional.

B: 20/4 = 5

24 /6 = 4

Answers are not the same so this is not proportional.

C: 27/9 = 3

81/27 = 3

Answers are the same so this is proportional.

D: 8/2 = 4

16/8 = 2

Answers are not the same so this is not proportional.

The answer is C.

3 0

4 years ago

Ruddy paid $11.22 for 6 gallons of milk. How much did Ruddy pay per gallon?

Vesna [10]

She paid 1.87 per gallon

5 0

3 years ago

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I need the answer ASP What is the value of x? Enter in the box

Svetach [21]

55 add 75 to 50 subtract from 180

4 0

3 years ago

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What is the intersection of two distinct non-parallel planes​

What is the intersection of two distinct non-parallel planes