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professor190 [17]
3 years ago
9

Anna is having a bicycle race around her neighborhood. If one lap of the track is 126 feet long and the race is over after 5 lap

s, how far does each racer have to go?
Mathematics
1 answer:
sveticcg [70]3 years ago
3 0
Just divide 126 by 5- which is 25.2 total miles
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Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns
Vanyuwa [196]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

x+y=32000        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

0.04x+0.07y=2000           ...(ii)

From (i) and (ii), we get

0.04x+0.07(32000-x)=2000

0.04x+2240-0.07x=2000

-0.03x=2000-2240

-0.03x=-240

Divide both sides by -0.03.

x=\dfrac{-240}{-0.03}

x=8000

Put x=8000 in (i).

8000+y=32000  

y=32000-8000  

y=24000  

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

8 0
3 years ago
What is the value of x?
Talja [164]
Use the Pythagorean theorem. The Pythagorean Theorem uses the following formula:

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36 + b^{2} = 100

Subtract both sides by 36.

b^{2} = 64

Square root both sides to get b by itself.

\sqrt{64} = 8

b = 8

The value of x is 8.
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Answer:

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