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3 years ago

The value of a car decreases by 5% each year.

1 answer:

6 0

10,000*0.95^2
=9025

0.95 is a multiplyer since 100%-5%=95% then divided by 100 giving you 0.95

You always power by the amount of years

So the format is always
Amount*multiplyer^years

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh

monitta

Answer:

The portion of the volume of the cup that is filled with water is $\frac{1}{8}$

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=6\ cm$

$h=12\ cm$

substitute

$V=\frac{1}{3}\pi (6)^{2}(12)$

$V=144\pi\ cm^{3}$

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

$V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}$

therefore

The portion of the volume of the cup that is filled with water is

$\frac{1}{8}$

8 0

2 years ago

Read 2 more answers

Help please!!!!!!!!!!!

adell [148]

Answer:

ok give me a min

Step-by-step explanation:

3 0

2 years ago

Solve by using any method of substitution<br><br>4 +8x = y <br>6x - y = 2

Bumek [7]

Answer:

(-3,-20)

Step-by-step explanation:

4 +8x = y ...... equation (1)

6x - y = 2 ........equation(2)

from equation 2

6x - y = 2

6x -(4+8x) =2

6x - 4 + 8x = 2

+4 +4

6x - 8x = 6

-2x=6

divide by -2

x= -3

put x in equation (1) to solve for y

4 + 8x = y

4+8(-3)=y

4-24=y

-20=y

y= -20

solution = (-3,-20)

8 0

3 years ago

20 POINTS

tigry1 [53]

This most definitely has to be a rhombus since it is a form of a square with 4 congruent sides where a rectangle only has 4 right angles.
To clarify, a trapezoid only has one pair of parallel sides if you were wondering.

8 0

3 years ago

What is 1/2 divided by 5/6

aleksley [76]

Answer:

3/5

Step-by-step explanation:

1/2 ÷ 5/6 = 1/2 × 6/5 = 6/10 = 3/5

8 0

2 years ago

Read 2 more answers