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3 years ago

1. The cost of attending college has been rising at an average increase of 7% for the past ten

Mathematics

1 answer:

dem82 [27]3 years ago

8 0

Answer: $11,870.32

Step-by-step explanation:

Use a compound interest formula for this as it shows what happens when when something increases at a certain rate per period.

= Amount * ( 1 + rate) ^ no. of periods

= 10,368 * ( 1 + 7%) ²

= 10,368 * 1.1449

= $11,870.3232

= $11,870.32

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The six faces of a cube are painted black. The cube is then cut into <img src="https://tex.z-dn.net/?f=5%5E3%20%3D%20125" id="Te

Rasek [7]

Answer:

The probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

Step-by-step explanation:

We have a cube, with the faces painted black, that each side is divided in 5, so we end up with 125 cubes.

We have to calculate the probability that a randomly selected cube is rolled and the face on the top is black.

This probability is equal to the proportion of black area in the total area of the cube.

We can define the side of the original cube as A=5a, being a the side of the small cubes.

The area that is painted black is equal to the sum of 6 squares of side A. In terms of a, that is:

$S_b=6\cdot A^2=6\cdot(5a)^2=6\cdot25a^2=150a^2$

The total area of the 125 small cubes is:

$S=125(6a^2)=750a^2$

Then, the ratio of black surface to the total surface is:

$s_b/s=(150a^2)/(750a^2)=0.2$

Then, we can conclude that the probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

7 0

4 years ago

A rectangle has a perimeter of 20 cm. Its longest side is 6 cm. What is its area?

melamori03 [73]

Answer:

$\boxed {24 cm^{2}}$

Step-by-step explanation:

Finding the smaller side :

⇒ P = 2(l + w)

⇒ 20 = 2(6 + w)

⇒ 6 + w = 10

⇒ w = 4 cm

Finding area :

⇒ 6 × 4

⇒ 24 cm²

8 0

2 years ago

Read 2 more answers

Whats the equation of a line parallel to y=-1/2x+6 that passes through (-4,1)

gtnhenbr [62]

Answer:

y=-1/2x-6

Step-by-step explanation:

Find the slope of the original line and use the slope-intercept form

5 0

3 years ago

Pls help asap..thank you!

tia_tia [17]

Answer:

5.25

Step-by-step explanation:

If CD is perpendicular to AB, a right angle is formed by the perpendicular lines at the base of the triangle. If we know that AB is 3 we can divided that by two to use half the triangle and create a right trianle with a base of 1.5 (half of 3) a height of rad 3 now all we have to do is use P-Thags to find AC which is the hypotenuse. After doing 1.5 squared + rad 3 squared = ac squared you will get the answer of AC = 5.25

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3 years ago

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Help please, easy math i just need to double check!

Romashka [77]

Answer:

24 in^2

Step-by-step explanation:

(1/2)bh

(1/2)(6)(8)

3 0

3 years ago