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Murljashka [212]
3 years ago
5

Please help me with this problem

Mathematics
1 answer:
Katen [24]3 years ago
6 0
Sorry if this is messy but I hope it helps you

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A countrys population in 1995 was 173 million in 1997 it was 178 million estamate the population in 2005 using the expontial gro
9966 [12]

Answer: the population in 2005 is

199393207

Step-by-step explanation:

The formula for exponential growth which is expressed as

A = P(1 + r/n)^ nt

Where

A represents the population after t years.

n represents the periodic interval at which growth is recorded.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 173 million

A = 178 million

t = 1997 - 1995 = 2 years

n = 1

Therefore

178 × 10^6 = 173 × 10^6(1 + r/1)^2 × 1

178 × 10^6/173 × 10^6 = (1 + r)^2

1.0289 = (1 + r)^2

Taking square root of both sides, it becomes

√1.0289 = √(1 + r)^2

1 + r = 1.0143

r = 1.0143 - 1 = 0.0143

Therefore, in 2005,

t = 2005 - 1995 = 10

A = 173 × 10^6(1 + 0.0143)^10

A = 173 × 10^6(1.0143)^10

A = 199393207

4 0
3 years ago
What is the area of the floor of a room that is 12 feet wide and 18 feet long
BabaBlast [244]

area of floor = length * width

length =18 feet

width =12 feet

area =12*18 = 216 feet square

7 0
2 years ago
Read 2 more answers
What assumption should be made to prove this conjecture by contradiction? If it is raining, then I will not go swimming.
Anon25 [30]
Here are some options to make deciding easier-

A) you went swimming
B) it is raining
C)you are not swimming
D) it is not raining


I think that the answer would be A because the opposite of it not raining would be it raining and the effect of that is that you will go swimming.

Hope this helps... plz mark Brainliest :)
8 0
3 years ago
A bonus of £2100 is shared by 10 people who work for a company. 40 percent of the bonus is shared equally between 3 managers. Th
Alja [10]

Answer:

Salesman is not correct

Step-by-step explanation:

First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:

Bonus Share For 7 Salesmen = (0.6)(£ 2100)

Bonus Share For 7 Salesmen = £ 1260

Now, this is equally divided among 7 salesmen:

Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7

S₁ = £ 180

Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:

Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10

S₂ = £ 210

S₂/S₁ = £ 210/£ 180

S₂/S₁ = 1.16

S₂ = 1.16S₁

S₂ = 116% of S₁

This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.

<u>Therefore, salesman is not correct</u>

6 0
3 years ago
A maritime flag is shown. What is the area of the shaded part of the flag? Explain
Rom4ik [11]

Answer:

<em></em>Area = 72in^2<em></em>

<em></em>

Step-by-step explanation:

<em>Your question is incomplete without an attachment (See attachment)</em>

Required

Determine the area of the shaded part

From the attachment;

<em>Assume that the shaded portion is closed to the right;</em>

<em>Calculate  the Area:</em>

<em></em>Area_1 = Length * Width<em></em>

<em></em>Area_2 = 8in * (6in + 6in)<em></em>

<em></em>Area_2 = 8in * 12in<em></em>

<em></em>Area_1 = 96in^2<em></em>

<em></em>

<em>Next;</em>

<em>Calculate the Area of the imaginary triangle (on the right)</em>

<em></em>Area_2 = \frac{1}{2} * base * height<em></em>

<em></em>Area_2 = \frac{1}{2} * (6in + 6in) * 4in<em></em>

<em></em>Area_2 = \frac{1}{2} * 12in * 4in<em></em>

<em></em>Area_2 = \frac{1}{2} * 48in^2<em></em>

<em></em>Area_2 = 24in^2<em></em>

<em></em>

<em>Lastly, calculate the Area of the Shaded Part</em>

<em></em>Area = Area_1 - Area_2<em></em>

<em></em>Area = 96in^2 - 24in^2<em></em>

<em></em>Area = 72in^2<em></em>

<em></em>

<em>Hence,</em>

<em>The area of the shaded part is 72in²</em>

3 0
2 years ago
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