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Kay [80]
3 years ago
15

Write an equation of the line slope= -1; (2, 0)

Mathematics
1 answer:
dlinn [17]3 years ago
3 0

Answer:

y=-1x+2

Step-by-step explanation:

Using the equation y=mx+b, where: y=y value, m=slope, x=x value and, b=y-intercept. Just by plugging in the information you get 0=1(2)+b.

Then, solving for B, you get: 2=b. This sets the problem up as: y=--1x+2

This is a true statement because when the plot point is added back into the problem, and it is solved, 0=0.

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Connor invested $8,000 in an account paying an interest rate of 82% compounded
fredd [130]

Answer:

Connor would have $83.37 more than Henry.

Step-by-step explanation:

Connor:

Initial investment= $8,000

Interest rate= 8.2% = 0.082/12= 0.00683

Number of periods= 12*5= 60 months

Henry:

Initial investment= $8,000

Interest rate= 8% = 0.08/365= 0.00022

Number of periods= 365*5= 1,825 days

<u>To calculate the future value, we need to use the following formula on each investment:</u>

FV= PV*(1+i)^n

Connor:

FV= 8,000*(1.00683^60)

FV= $12,035.35

Henry:

FV= 8,000*(1.00022^1,825)

FV= $11,951.98

Difference= 12,035.35 - 11,951.98= $83.37

Connor would have $83.37 more than Henry.

4 0
3 years ago
A parabola passes through (7,42) and has a vertex at (-2,6).
Serggg [28]

Answer: To solve this you need to use the vertex form of the equation of a parabola which is y=a(x−h)2+k , where (h,k) are the coordinates of the vertex.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which of the following best describes the solution to the system of equations below?
OverLord2011 [107]

Answer: OPTION A

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m is the slope and b the y-intercept.

Solve for y from each equation:

\left \{ {{5y=-4x+7} \atop {10y=-8x+14}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-8}{10}x+\frac{14}{10}}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-4}{5}x+\frac{7}{5}}} \right.

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.

3 0
3 years ago
The difference of twice a number and 3 is -21
never [62]

Answer:

The answer to the promblem is -7

4 0
3 years ago
A woman went shopping. First she spent 4/5 of all the money she had in her purse and then she lost 2/3 of what was remaining. No
KengaRu [80]

Answer:

$140

Step-by-step explanation:

10 is 1/3 of x.

10=1/3x

x=30

x is 1/5 of y

30=1/5y

150=y

y-10=z

150-10=z

z=140

5 0
3 years ago
Read 2 more answers
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