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3 years ago

5) Write the equation of the line to the right.

Mathematics

2 answers:

irina1246 [14]3 years ago

8 0

Answer:

y=-1/3x-4

Step-by-step explanation:

kakasveta [241]3 years ago

6 0

Answer:

y = -3x - 4

Step-by-step explanation:

to get -3x, you calculate the slope, so you can pick a point and use rise over run, and to get -4, it starts -4 down on the x line

Ok, the explanation is horrible, but i promise the answer is correct

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a person invested $6700 for one year, part at 8%, part at 10%, and the remainder at 12%. the total annual income from these inve

lukranit [14]

Answer:

The amount invested at 8% rate is $1,200

The amount invested at 10% rate is $2,000

The amount invested at 12% rate is $3,500

Step-by-step explanation:

step 1

Let

x-----> the amount invested at 8% rate

y-----> the amount invested at 10% rate

z-----> the amount invested at 12% rate

$z=(x+y)+300$ ----> equation A

$x+y+z=6,700$ ----> equation B

substitute equation A in equation B

$x+y+(x+y+300)=6,700$

$2x+2y=6,400$

$x+y=3,200$ -----> equation C

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=1\ year\\ P=\$6,700\\ I=\$716$

substitute in the formula above

$716=x(0.08)+y(0.10)+z(0.12)$

substitute equation A

$716=x(0.08)+y(0.10)+(x+y+300)(0.12)$

$716=0.08x+0.10y+0.12x+0.12y+36$

$716=0.20x+0.22y+36$

$0.20x+0.22y=680$ -----> equation D

step 2

Solve the system of equations

x+y=3,200 -----> equation C

$0.20x+0.22y=680$ -----> equation D

Solve the system by graphing

The solution is the point (1,200,2,000)

see the attached figure

Find the value of z

$z=(x+y)+300$

$z=(1,200+2,000)+300=3.500$

therefore

The amount invested at 8% rate is $1,200

The amount invested at 10% rate is $2,000

The amount invested at 12% rate is $3,500

8 0

4 years ago

4.) Mrs. Jeeves' 4th grade class is collecting

Vesnalui [34]

Answer:

Mrs. Jeeve's 4th grade class earned $52.5 per hour with their lemonade stand.

Step-by-step explanation:

$315/6= $52.5

<h2><em><u>xoxo, </u></em></h2><h2><em><u>your highness...</u></em></h2>

4 0

3 years ago

Consider the algebraic expression:

GrogVix [38]

Coefficients are the numbers that are next to a variable(a letter in an expression). Therefore the coefficients would be 7 and 18 because they are both next to a variable (y and x).

I can’t exactly remember what a constant is but I think it is a number alone (not next to any variables) and they are ONLY separated by + and - not multiplication or division. In this case it would be all of the numbers that are in between the + or - (all of them.)

I also think a constant could be the variable next to the coefficient. Which would be y and x (next to 7 and 18).

I’m am so sorry I can’t remember what a constant is but I hope the coefficient helps:)

7 0

4 years ago

Read 2 more answers

Which statement about the value of the 5 in 775 and 89,507 is true?

lys-0071 [83]

In 775, the value of 5 is 5. Because it is in the ones place, it is 5.

The value of 5 in 89,507 is 500 because it is in the hundreds place.

8 0

4 years ago

20 POINTS!! What would be the first step to solve this equation?

Anettt [7]

Answer:

C. Add 13 to both sides of the equation.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, m. Add 13 to both sides of the equation:

m - 13 = 24

m - 13 (+13) = 24 (+13)

m = 24 + 13

m = 37

7 0

2 years ago