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2 years ago

6

Jovita Alvarez obtained a personal loan of $3000 at 14% for 24 months. The monthly payment is $144 the balance of the loan after

18 months is 830.78. What is the new principal after the 19th payment?

1 answer:

xxTIMURxx [149]2 years ago

4 0

Ooo this is hard, I got a little confused

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Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).

mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

$(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2$

$\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y$

$\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y$

$\implies 4x +8x-10y+2y = 16 + 1 -25-4$

$\implies 12x - 8y = 17 - 29$

$\implies 12 x - 8 y = - 12$ ---------(1)

Similarly, QO = RO

$\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2$

$\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y$

$\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y$

$\implies - 8x -4x-2y-6y=4+9-16-1$

$\implies -12 x - 8 y = 13 - 17$

$\implies 12 x + 8 y = 4$ ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

8 y = 16

y = 2

7 0

2 years ago

What is an equation of the line that passes through the points (- 2, 1) and (- 8, 4) ?

Fantom [35]

Answer:

y=-x/2

Step-by-step explanation:

m=(4-1)/(-8-(-2))

m=3/-6

m=-1/2

b=y-mx

b=1-(-1/2*(-2))

b=1-1

b=0

y=-x/2

7 0

3 years ago

The sum of Rick's test score and 15is100.What was the Rick's score?

azamat

Yes, I can show you how to solve that problem.
Please watch carefully and try to follow me.
I'll go slowly, and you must stop me if I do
anything that's not clear to you.

You said that <u> Rick + 15 = 100</u>

Subtract 15 from each
side of the equation: <em>Rick = 85
</em>

3 0

2 years ago

Read 2 more answers

!PLEASE ANSWER ASAP! THANK YOU IN ADVANCE!

pishuonlain [190]

Answer:

Step-by-step explanation:

She must write an email to the new employees explaining how to access documents that need editing and what to do with new versions of the documents.

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2 years ago

viva [34]

Answer:

0

Step-by-step explanation:

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3 years ago