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Stolb23 [73]
2 years ago
5

Mona opened a savings account with a S500

Mathematics
1 answer:
dybincka [34]2 years ago
4 0

$224

...................

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Write the standard equation of the circle with the given center and passes through the given point. Center (7,-2); Point= (1,-6)
vodomira [7]

Answer:

(x - 7)² + (y + 2)² = (2√13)²

Step-by-step explanation:

We already know that the center is at (7, -2), but must find the radius.  The radius is the distance between the points (7, -2) and (1, -6):

r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.

Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²

6 0
2 years ago
What is the coefficient of q in the sum of these two expressions?
a_sh-v [17]

Answer: 1/2

Step-by-step explanation:

3 0
3 years ago
Segments in Circles<br><br><br> TW=3, CW=x, TU=x+7, VW=6. Find the value of x.
Kryger [21]

Answer:

x=2

Step-by-step explanation:

The diagram is attached below

  • TW=3
  • CW=x
  • TU=x+7
  • VW=6

TU=TW+WU

x+7=3+WU

WU=x+7-3

WU=x+4

To determine the value of x, we apply the theorem of intersecting chords.

TW X WU = CW X WV

x(x+4)=6 \times x\\x^2+4x=6x\\x^2=6x-4x\\x^2=2x\\$Divide both sides by x\\x=2

4 0
3 years ago
What is the greatest common monomial factor of the expression
Yuki888 [10]
You can factor out 36*5=180 and 27*4=108 and find that they have 36 as greatest common divisor. The x and y factors have xy as the best you can divide by. So the factor becomes 36xy

36xy(5y²+3) = 36x5y³ + 27x4y
8 0
3 years ago
Truck A costs $600 more that Truck B. However, it burns 0.06 gallon/mile compared to 0.07 gallon/mile for truck B. Both trucks h
qwelly [4]

Answer:

  1,778

Step-by-step explanation:

Let C and S represent the cost and salvage value of Truck B, respectively. Let X represent the number of miles per year that answers the question.

Truck A's cost for 10 years is ...

  A = C+600 +(0.06)(2.25)(10X) -(S+200)

Truck B's cost for 10 years is ...

  B = C +(0.07)(2.25)(10X) -S

We want to find X such that Truck A's cost is lower, so ...

  C -S +1.35X +400 < C -S +1.575X

  400 < 0.225X

  1777 7/9 < X

1778 miles driven per year (or more) makes Truck A a better option.

5 0
3 years ago
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