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2 years ago

A house is purchased for $375000 and has gained 12% for the last 5 years. What is it now ?

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

7 0

Answer:

$420,000

Step-by-step explanation:

The added percentage can be turned into a multiplier to make the problem easier.

value + 12%×value = value(1 +0.12) = 1.12×value

1.12×$375,000 = $420,000

It is $420,000 now.

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Find the nth term of this sequence -4 -3 -2 -1 0 ...

AnnyKZ [126]

The answer to your question is:

+4

-4, -3, -2, -1, 0, 1, 2, 3, 4

3 0

3 years ago

6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface

Pachacha [2.7K]

Answer:

6) About 19,244.75 square centimeters.

7) About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

$\displaystyle \text{SA}=2\pi r^2+ 2\pi rh$

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

$\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2$

Then the total surface area for 200 cylinders will be:

$\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2$

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

$\displaystyle V=\pi r^2h$

Since r = 1.2 and h = 6.4:

$\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3$

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

$\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3$

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

$\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895$

Thus, approximately 4895 containers can be filled.

5 0

2 years ago

Read 2 more answers

Given that f(x)=2x/3 evaluate f^-1(6)

abruzzese [7]

Answer:

Step-by-step explanation:

we know by definition that

$f^{-1}(f(x))=x\\\\f^{-1}(\frac{2x}{3})=x\\\\f^{-1}(x)=ax\\\\f^{-1}(\frac{2x}{3})=a(\frac{2x}{3})=x\\\\f^{-1}(x)=\frac{3x}{2}$

so now we evaluate

$f^{-1}(6)=\frac{3*6}{2}\\\\=3*3\\\\f^{-1}(6)=9$

and if we want to do an extra step

$f^{-1}(f(6))=6\\\\f^{-1}(\frac{2*6}{3})=f^{-1}(4)=\frac{3*4}{2}=6$

which works.

4 0

2 years ago

4X + 8 < 1 + ( 2X - 5) PLEASE EXPLAIN

Simora [160]

Answer:

x < - 6

Step-by-step explanation:

Given

4x + 8 < 1 +(2x - 5) ← remove parenthesis

4x + 8 < 1 + 2x - 5, that is

4x + 8 < 2x - 4 ( subtract 2x from both sides )

2x + 8 < - 4 ( subtract 8 from both sides )

2x < - 12 ( divide both sides by 2 )

x < - 6

5 0

3 years ago

X^3 + 3x^2 -10x factor polynomial and find zero

Fantom [35]

Answer:

x(x - 2)(x + 5)
x = 0, x = 2, x = -5

Step-by-step explanation:

x^3 + 3x^2 - 10x

~Factor

x(x - 2)(x + 5)

Solve for the zero.

x(x - 2)(x + 5) = 0

We know that; x = 0, x - 2 = 0, and x + 5 = 0

x = 0

x - 2 = 0

x = 2

x + 5 = 0

x = -5

Best of Luck!

7 0

2 years ago

Read 2 more answers