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Kazeer
9 days ago
14

In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold t

he house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
Mathematics
1 answer:
zzz [4K]9 days ago
7 0

Answer:

£170,000

Step-by-step explanation:

En 2010, Rafik adquirió una casa. Supongamos que el precio de compra fue $x. En 2015, Rafik vendió la casa a Bianca obteniendo un 20% de ganancia. Esto se traduce en 20% de x lo que equivale a 0.2 × x = 0.2x. Por tanto, Rafik vendió la casa a Bianca por x + 0.2x = 1.2x. Bianca compró la casa a 1.2x.

La casa fue vendida por Bianca en 2019 con una pérdida del 5%. Esto implica que el 5% de pérdida equivale a 0.05(1.2x) = 0.06x.

Por consiguiente, la venta de la casa por Bianca se realizó a 1.2x - 0.06x = 1.14x. Dado que la casa se vendió por £193,800.

⇒ 1.14x = 193,800

x = 193,800/1.14

x = £170,000

Rafik pagó £170,000 por la casa en 2010.

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Each cookie has a thickness of 0.5 inches

Step-by-step explanation:

   The total volume of the cylinder is given by 29.452 in^{3}

Diameter of each cookie is 2.5 in. The cylinder can hold exactly 12 cookies stacked inside. The thickness for each cookie equals t.

\textrm{Volume of cylinder = }12\textrm{ x Volume of cookie}

29.452=12(\pi (\frac{2.5}{2} )^{2}t )

t=0.5\textrm{ in}

Thus, the thickness of every cookie is established to be 0.5 inches.

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You are climbing a mountain by the steepest route at a slope of 10∘ when you come upon a trail branching off at a 45∘ angle from
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Envision yourself starting at the origin, noticing another path deviating 45 degrees from your current one.
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2/5

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Answer:

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

Step-by-step explanation:

We start with the equations:

{x}^{2} + {y}^{2} = 6

and

{x}^{2} - y = 6

Rearranging the second equation to make y the subject results in;

y = {x}^{2} - 6

Substituting into the first equation gives us:

{x}^{2} + ({x}^{2} - 6 )^2= 6

x = \pm \sqrt{6}

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The solutions remain as (-√6,0) and (√6,0)

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7 0
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Answer: La probabilidad que necesitamos es 0.16.

Step-by-step explanation:

Se nos proporciona que

La probabilidad de que el estudiante sea un senior = 0.22

La probabilidad de que el estudiante tenga una licencia de conducir = 0.30

La probabilidad de que el estudiante sea un senior o tenga una licencia de conducir = 0.36

Buscamos la probabilidad de que el estudiante sea un senior y tenga licencia de conducir.

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Por lo tanto, la probabilidad que necesitamos es 0.16.

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