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3 years ago

The value of a house depreciates by 8% per year. Work out the current value of a house bought 2 years ago for £180000

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

8 0

₤ 152352

depreciation factor = 100 - 8 = 92% = 0.92

current value = ₤ 180000 × (0.92)² = ₤ 152352

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A metallic spherical ball of radius 14 cm is being melted and recast it into spherical balls of radius 2 cm. How many spherical

mojhsa [17]

Volume of sphere = 4/3 x pi x r^3

Volume of large sphere:

4/3 x 3.14 x 14^3 = 11488.21 cubic cm

Volume of smaller sphere:

4/3 x 3.14 x 2^3 = 33.49 cubic cm

Number of small spheres = volume of large sphere/ volume of small sphere

11488.21 / 33.49 = 343.03

Round to 343 small spheres

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3 years ago

A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle

Nataliya [291]

Answer:

The string, the height and the ground form a right triangle

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Step-by-step explanation:

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3 years ago

He coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .

Nitella [24]

Answer: The perimeter is 17.52

Step-by-step explanation:

1. You can plot the points, as you can see in the graph attached.

2. As you can see in the graph, the points are:

$A(-2,-2)\\B(-2,3)\\C(2,4)\\D(3,1)\\E(0,-2)$

And the lenghts <em>AB</em> and <em>EA</em> are:

$AB=5$

$EA=2$

3. To find the other lenghts, you can apply the formula for calculate the distance between two points:

$distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

4. Thefore, you have:

$BC=\sqrt{(2-(-2))^{2}+(4-3)^{2}}=4.12\\CD=\sqrt{(2-3)^{2}+(4-1)^{2}}=3.16\\DE=\sqrt{(3-0)^{2}+(1-(-2))^{2}}=4.24$

5. The perimeter is:

$P=AB+CD+DE+EA\\P=5+4.12+3.16+4.24+2\\P=17.52$

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3 years ago

A(n)=-4-2(n-1) find the 12th term in the sequence.

Art [367]

Substitute n = 12:

$a(n)=-4-2(n-1)\\\\a(12)=-4-2(12-1)=-4-2(11)=-4-22=-26$

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3 years ago