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matrenka [14]
2 years ago
7

The annual expenditure of the US federal government is approximately 444 trillion dollars. If a one dollar bill is 0.00010.00010

, point, 0001 meters thick, how many meters tall would a stack of 444 trillion one dollar bills be? Write your answer in scientific notation. For reference: 111 trillion =10^{12}=10 12
Mathematics
1 answer:
Vsevolod [243]2 years ago
7 0

Answer:

4*10^{7} meters.

Step-by-step explanation:

This question can be solved using a rule of three.

If a one dollar bill is 0.0001 meters thick.

So 1 dollar is 10^{-5}m tall.

How tall is 4 trillion one dollar bills?

1 trillion = 10^{12}

So 4 trillion = 4*10^{12}

Then

1 dollar - 10^{-5}m

4*10^{12} - xm

x = 4*10^{12}*10^{-5} = 4*10^{7}

The answer is 4*10^{7} meters.

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sergey [27]
X/6.2=-2.1
multiply both sides by 6.2
x=-13.02
4 0
3 years ago
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50,000 contestants participate in an on-line game. The game randomly eliminates 20% of the contestants each day. Determine the n
irga5000 [103]

Answer:10,486 contestants

Step-by-step explanation:

First day:

Total number of contestants at the beginning = 50,000

After first day, 20% 0f 50,000 are removed.

That is, (20/100)×50,000 = 10,000

Contestants remaining after first day = 50,000-10,000 = 40,000

Second day:

Contestants= 40,000

20% removed

That is (20/100)×40000=8000

Balance =40000-8000=32,000

Third day:

Contestants= 32000

20% removed

That is (20/100)×32000=6400

Balance =32000-6400=25,600

Fouth day:

Contestants= 25,600

20% removed

That is (20/100)×25,600=5,120

Balance =25,600-5,120=20,480

Fifth day:

Contestants= 20,480

20% removed

That is (20/100)×20,480=4096

Balance =20,480-4096=16,384

Sixth day:

Contestants= 16,384

20% removed

That is (20/100)×16,384=3276.8

Balance =16,384-3276.8=13,107.2

Seventh day:

Contestants= 13,107.2

20% removed

That is (20/100)×13,107.2=2621.44

Balance =13107.2-2621.44=10485.76

Therefore, number of contestants remaining after one week equals 10,486.

6 0
3 years ago
Maritza remembers her PIN because it is between 1,000 and 1,500 and it is the product of two consecutive prime numbers. What is
valentina_108 [34]

Answer:

<em>The PIN is 1147</em>

Step-by-step explanation:

<u>Prime numbers</u>

These are integer numbers that only divide exactly by themselves and by 1. To find the first possible prime number between 1,000 and 1,500, calculate the square root of 1,000.

\sqrt{1000}\approx 31.6

Thus, the first prime to consider is 31. Write the consecutive primes from 31:

31 , 37 , 41 , 43

We can see the only two consecutive primes whose product lies in the given interval are 31 and 37. Thus, the PIN is 31*37=1147

4 0
3 years ago
Jim was offered a job as a computer programmer making 65K per year. Another company offered Jim a position earning $1,800 a week
steposvetlana [31]

Answer:

since second company salary, $93,600, is more than first company yearly salary of $65000

Second company pays more

Step-by-step explanation:

To check what job pays more we have to compare yearly salary of both the company offer.

_________________________________________________

Yearly salary from one company = 65k = 65000

Weekly salary from another company = $1800

there are 52 weeks in a year

to get yearly salary , we need to multiply weekly salary with 52.

Yearly salary from another company = Weekly salary*no of wees in a year

Yearly salary from another company = 52*$1800 = $93,600

since second company salary, $93,600, is more than first company yearly salary of $65000

Second company pays more

7 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Right triangle trig.  Super fun!  We are given the vertex angle of 27 degrees.  The side across from that angle is 4, and we are looking for the hypotenuse of the triangle.  That is the trig ratio sin.  sin of an angle is equal to the side opposite over the hypotenuse:

sin(27)=\frac{4}{hyp} and, solving for hyp:

hyp=\frac{4}{sin(27)}.  Do that on your calculator in degree mode to get that the hypotenuse, side BD is 8.8 units.

4 0
3 years ago
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