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Vedmedyk [2.9K]
3 years ago
13

What is the X and Y intercept of 8(4+x)-3=12(x+y)+5

Mathematics
1 answer:
Zanzabum3 years ago
5 0
Lets get this into y-intercept form first, which is y =mx+b:

8(4+x)-3 = 12(x+y)+5

32+8x-3 = 12x+12y+5

-4x+24 = 12y

-1/3x+2 = y or y= -1/3x + 2

X intercept: 
0 = -1/3x + 2
-2= -1/3x
6 = x

X intercept is (6,0)

Y intercept:
y = -1/3(0) + 2
y= 2

Y intercept is (0,2)

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oksano4ka [1.4K]

Answer:

the answer depends on which type of interest we use:

  • simple interest rate = 24%
  • compound interest rate = 26.82%

Step-by-step explanation:

the interest rate paid for holding the cards one month 1/50 or 2%.

to convert 2% monthly interest rate to a simple annual rate:

monthly rate x 12 months = 2% x 12 = 24%

now to convert 2% monthly interest rate to an annual rate (using compound interest):

  • = (1 + r)ⁿ - 1
  • = (1 + 0.02)¹² - 1 = 1.2682 - 1 = 0.2682 or 26.82%

in compound interest, earned interest earns even more interest by itself besides the interest earned by the principal.

3 0
3 years ago
3x + 3y =15 and x = -3y -1
saul85 [17]

Answer:

  (x, y) = (8, -3)

Step-by-step explanation:

You can substitute for x in the first equation:

  3(-3y -1) +3y = 15

  -6y = 18 . . . . . add 3 and simplify

  y = -3 . . . . . . . divide by -6

  x = -3(-3) -1 = 8 . . . . find x using the second equation

The solution to this system of equations is (x, y) = (8, -3).

4 0
3 years ago
Last year, Jina opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 6.5%
adoni [48]

Answer:

$250.69 maybe?

Step-by-step explanation:

5 0
3 years ago
(08.02)a pair of equations is shown below. 3x − y = 9 y = −2x + 11 if the two equations are graphed, at what point do the lines
mixas84 [53]
3x - y = 9
y = -2x + 11

3x - (-2x + 11) = 9
3x + 2x - 11 = 9
3x + 2x = 9 + 11
5x = 20
x = 20/5
x = 4

y = -2x + 11
y = -2(4) + 11
y = -8 + 11
y = 3

solution (where the lines intersect) is (4,3)
8 0
3 years ago
Read 2 more answers
Every morning, Peter does the same 55-minute workout routine. He does a combination of jogging and floor exercises. The distance
Advocard [28]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
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