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horsena [70]
4 years ago
5

Between 1965 and 1980, the world population grew at an annual rate of 2%. Using the rule of 72, population is expected to double

in
Mathematics
1 answer:
Fiesta28 [93]4 years ago
4 0

Answer:

The population is expected to double in 36 years

Step-by-step explanation:

According to the the rule of 72,

A value is doubled if the product of the annual rate and number of years is 72,

Given,

The annual rate of interest = 2%

Let x be the time in years after 1965,

By the above statement,

The population will double if,

x × 2 = 72 ⇒ x = 36

Hence, the after 36 years since 1965 the population will be doubled,

i.e in 2001.   ( ∵ 36 years after 1965 )

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The san paulo community swimming pool can be filled in 12 hr if water enters through a pipe alone or in 30 hr if water enters th
Nuetrik [128]

Alright, lets gets started.

If water enters through a pipe alone, swimming pool can be filled in 12 hr.

Or say, in 12 hrs, swimming pool can be filled with help of pipe.

It means in 1 hr, the part of swimming pool filled = \frac{1}{12} (For pipe only)

Similarly, with hose only, , in 1 hr, the part of swimming pool filled = \frac{1}{30}

So, water is coming from both, pipe and hose , then in 1 hr, the part of pool filled will be = \frac{1}{12}  + \frac{1}{30}

Suppose in x hrs, with both supplies, pipe and hose, pool is filled.

Means

\frac{1}{12}  + \frac{1}{30}  = \frac{1}{x}

making common denominator

\frac{30}{360}   + \frac{12}{360}  = \frac{1}{x}

\frac{30 + 12}{360} = \frac{1}{x}

\frac{42}{360}  = \frac{1}{x}

Flipping

\frac{360}{42}  = x

x = \frac{60}{7}

Means 8.57 hrs : Answer

Hope it will help :)

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