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ValentinkaMS [17]
3 years ago
5

* During a 10 year period, the number of people living in Sherbury increased by 5% to 20 265

Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:During 10years ago the number of people living in Sherbury increased by 965 while the number of people living in Yaston increased by 942

Step-by-step explanation:

During the 10 year period,

Let x= increase in the number of

people living in Sherbury

y=number of people living in Sherbury before the increase

Therefore,

5/100 * y = x

0.05y=x

And

x + y = 20265

But y=20x

x + 20x =20265

21x=20265

x=965

During 10years ago the number of people living in Sherbury increased by 965.

Likewise

Let

a=increase in the number of

people living in Yaston

b=number of people living in Yaston before the increase

7.5/100 * b = a

0.075b = a

b=13.33a

a + b = 13502

a + 13.33a=13502

14.33a=13502

a=942

During 10years ago the number of people living in Yaston increased by 942.

Conclusion

During 10years ago the number of people living in Sherbury increased by 965 while the number of people living in Yaston increased by 942.

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Two arithmetic means between 3 and 24 are -
defon

The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

<h3>What is arithmetic mean?</h3>

Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.  

The two arithmetic means between 3 and 24 are has to be inserted.

3, A₂, A₃, 24

All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:

t(n)=a(n-1)d

Here, d is the common difference a is the first terms and n is the total term.  The first term, a=3 and t₄=24. Thus, the common difference is;

t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}

The second and 3rd term are:

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