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lesya [120]
3 years ago
6

Im stuck on this question, plz help

Mathematics
1 answer:
denis-greek [22]3 years ago
3 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

40 metres covered in 6 seconds

Max speed attained after 6seconds

75 meters covered after 11 seconds

Average Speed for first 40 meters :

Speed = distance / time

Speed = 40m / 6s

Speed = 6.67m/s

To obtain the maximum speed :

Next (75 - 40) meters = 35 meters was covered in (11 - 6)seconds = 5 seconds

Speed at this point is maximum :

Hence, maximum speed = (35m / 5s) = 7m/s

Suppose, Manuel runs for an additional z seconds after reaching max speed :

Distance from starting line 6+z seconds after race started?

Distance after 6 seconds = 40 metres

Distance after z seconds = 7 * z

Total distance = (40 + 7z)

What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?

Distance for first 6 seconds = 40 meters + distance covered after 6 seconds = (7 * (x-6))

40 + 7(x - 6)

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According to the United Nations, in the year 2002, the population of the world was 6.1 billion people and was growing at an annu
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Answer:

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Step-by-step explanation:

Since there is a constant growth rate of 1.5% per year, and the population in 2002 was 6.1 billion people. The general equation for the total world population, in billions, after 2002 is:

P(t) = 6.1*(1+0.015)^t

With t being the time, in years, after 2002.

a) What was the population in 2004?

t=2004-2002=2\\P(2) = 6.1*(1.015)^2\\P(2) = 6.2843 \ billion

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3 0
3 years ago
Amanda has a salary of $1,500 per month and she divides her income in the following way: Expense Amount of Money Savings $475 Ca
Llana [10]

Answer:

True :  Amanda spends 15% of her salary on food.

False:  Amanda spends 50% of her salary on savings and car payment and insurance combined.

False:  Amanda spends 10% of her salary on phone and internet.

False: Amanda spends 5% of her salary on clothes.

Step-by-step explanation:

The monthly salary of Amanda =   $1,500

Money Savings  =  $475 , Car payment and Insurance   = $425

Phone and internet  =  $175   , Food  =  $225  , Clothes = $100  Misc. = $100

Now, check each of the given statements:

1) Amanda spends 15% of her salary on food.

Now,15% of $1500  =  \frac{15}{100}  \times 1500 = 225

⇒ 15 % of her salary is $225.

So, the given statement is TRUE.

2) Amanda spends 50% of her salary on savings and car payment and insurance combined.

Now,50% of $1500  =  \frac{50}{100}  \times 1500 = 750

Also, combined amount of savings and car payment insurance

=  $475 + $425 = $900

But 50 % of her salary is $750.

So, the given statement is FALSE.

3)  Amanda spends 10% of her salary on phone and internet.

Now,10% of $1500  =  \frac{10}{100}  \times 1500 = 150

⇒ 10 % of her salary is $150.  But she spends $175 on phone and internet

So, the given statement is FALSE.

4)Amanda spends 5% of her salary on clothes.

Now,5% of $1500  =  \frac{5}{100}  \times 1500 = 75

⇒ 5 % of her salary is $75.  But she spends $100 on her clothes.

So, the given statement is FALSE.

7 0
3 years ago
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