Answer:
$2450
Step-by-step explanation:
7% of 5000 is 350 which means that she would be paying $350 a year and so if you multiply the amount she pays a year ($350) you would get $2450.
I hope this helps.
The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
<h3>What is the area of the rectangular table?</h3>
Since the carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other.
To find the area of the rectangular table, we know that Area, A = LW where
Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .
So,
let
- length of the rectangular table = L = x/2 and
- width of rectangular = W = 3x
So, the area of the rectangular table A = LW
= x/2 × 3x
= 3x²/2
So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
Learn more about area of rectangular table here:
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Answer:
x = 30, x = 5 and x = 9
Step-by-step explanation:
The diagonals of a square are perpendicular bisectors of each other, so
∠ AEB = 90° , then
3x = 90 ( divide both sides by 3 )
x = 30
---------------------------------------------------------
(9)
The 4 angles of a square are right and the diagonals bisect the angles, then
∠ BAC = 45° , so
9x = 45 ( divide both sides by 9 )
x = 5
-------------------------------------------------------
(10)
All sides are congruent , so
CD = AB , that is
3x - 5 = 2x + 4 ( subtract 2x from both sides )
x - 5 = 4 ( add 5 to both sides )
x = 9
Answer:
x = 129, rounded
Step-by-step explanation:
3x + 144 = 532
<u> -144 -144 </u>
3x = 388
divide both sides by 3
x = 129, rounded
Answer:
See below.
Step-by-step explanation:
ax^2 + bx + c = 0
a(x^2 + b/a x) + c = 0
Completing the square:
a [ (x + b/2a)^2 - b^2/4a^2] + c = 0
a[ (x + b/2a )]^2 - b^2 / 4a + c = 0
a[ (x + b/2a )]^2 = b^2 / 4a - c
Dividing both sides by a:
(x + b/2a )^2 = b^2/4a^2 - c/a
Taking square roots of both sides:
x + b/2a = +/- √ (b^2/ 4a^2 - c/a)
x + b/2a = +/- √ [ ( b^2 - 4ac) / 4a^2 )]
x + b/2a = +/- √ ( b^2 - 4ac) / 2a
Subtracting b/2a from both sides and converting the right side to one fraction:
x = [- b +/- √ ( b^2 - 4ac] / 2a.
