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Ray Of Light [21]
4 years ago
15

A country's population in 1994 was 140 million. In 1998 it was 146 million. Estimate the population in 2011 using the exponentia

l growth formula. Round your answer to the nearest million
Mathematics
1 answer:
serious [3.7K]4 years ago
7 0

Answer:

Estimated To Be 167 Million

Step-by-step explanation:

The exponential growth formula is given by

where: P is the population of the country, t years after the initial year (i.e. in this case, 1994).  is the initial population of the country (i.e. the population of the country in 1994).

r is the growth rate of the population and

t s the number of years after the initial year.

We obtain the value of r by comparing the growth between 1994 and 1998.

Here: P = 146, , and t = 4 years

Thus To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.

Thus, the population of the country in 2011 can be estimated to be

million

Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million

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A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 548 fee
aliina [53]

Answer: 274/3 and 137 ft

Step-by-step explanation:

Total fence used: 548 ft

So, perimeter will be 548 ft, including the fence that divides the land.

Consider the playground the drawing below.

__________x________

|                                        |

|                                        |   y

|                                        |

|__________________|

Let's consider that the playground is going to be divided parallel to y (and there's no problem, because if you choose parallel to x, the area will be the same). So, the perimeter (the sum of all sides) will be:

2x + 3y = 548

And the area

A = x.y

Isolating x, we have:

x = (548 - 3y)/2

Substituting the x in the Area equation:

A = (548 - 3y)/2 . y = 548y - 3y²/2 = 274y - 3/2y²

A = 274y - 3/2y²

So, it's a quadratic function. And, to find out the maximum area that the playground can have, we need to find the y-vertex of the parabola: y-vertex = Δ/4a

a = -3/2    b = 274     c = 0

Δ = 274² - 4.(-3/2).0 = 274² = 75076

Amax = -Δ/4a = -75076/4.(-3/2) = 75076/6 = 12512.7 ft²

y = -b/2a = -274/2.(-3/2) = 274/3 ft

x = (548 - 3y)/2 = (548 - 3.274/3)/2 = 274/2 = 137 ft

4 0
3 years ago
Please help ASAP it is really hard
nydimaria [60]
I cant see full picture....
3 0
4 years ago
Find two consecutive whole numbers that square root 105 lies between
tatiyna
When you are finding 2 consecutive numbers that a square root falls between, you have to think about what the closest whole numbers are, for example, if you have the sq root of 17, it would fall between 4² (16) and 5² (25).

So, in this case, √105 would fall between 10² (100) and 11² (121)

4 0
3 years ago
A business man invested 10,500 in a company and the value increases 3.5% each year. How much will be the investment after 12 yea
alekssr [168]

Answer:

441,000 dollars after 12 years

3 0
2 years ago
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sukhopar [10]
The answer will be B
4 0
3 years ago
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