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leonid [27]
3 years ago
12

Which of these equations correctly represents the following scenario: In her prime, 40 million people knew who Britney Spears wa

s, but that number has been decreasing by 10% each year. So, since 90% of people still recognize her each year, how many people still know who Britney is each year?
y = 40,000,000(0.9)x


y = 0.9(40,000,000)x


y = 40,000,000(0.01)x



y = 0.1x + 40,000,000


y = 0.01(40,000,000)x
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0

Answer:

Its the first option

40,000,000(0.9)x.

Step-by-step explanation:

90% recognise her each year so after 1 year so the number (N) is:

N = 40,000,000(0.90)^1 = 36,000,000 recognise her after 1 year.

N = 40,000,000(0.90)^2 = 32,400,000 recognise her after 2 yeas

- and so on.

After x years:

N = 40,000,000(0.90)^x.  

Note the x is a power and is best written as ^x.

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A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one
Pavel [41]

Answer:

New height = 6

Step-by-step explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h                                The 8's cancel

10*24 = 40*h                                           Divide both sides by 10

24 = 4h                                                    Divide by 4

h = 6

Same as you got before.

7 0
3 years ago
Let v1=(1, 6) and v2=(5, -3)
astraxan [27]

Answer:

See Explanation;

Step-by-step explanation:

The given vectors are;

v_1=\:\: and v_2=\:\:

a) To add or subtract two vectors, we add or subtract their corresponding components

v_1+v_2=\:\:+\:\:

v_1+v_2=\:\:

v_1+v_2=\:\:

v_1-v_2=\:\:-\:\:

v_1-v_2=\:\:

v_1-v_2=\:\:

v_2-v_1=\:\:-\:\:

v_2-v_1=\:\:

v_2-v_1=\:\:

b) See attachment for graphs(1,6

3 0
3 years ago
What is 3/4 divided by 4/3¿
Ghella [55]

Answer:

2 1/12

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o
dem82 [27]

Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms  a right angle triangle so, we can apply "Pythagorus theorem".

H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.


8 0
3 years ago
When giving directions to your house, you tell someone to drive two miles east, then three miles north, then one mile west. what
Sonja [21]
Then my house will be in the south because thats the only one that is left
4 0
3 years ago
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