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A financial institution established in the early BS 2070 has only 300 market representatives. As the business area of the organization is increasing, it has implemented a policy to increase 1 new market representative from every group of 10 representatives every year.

(a) Find the annual growth rate of the market representatives. [1]

(b) How many new market representatives will be increased by the end of BS 2071?? [2]

(c) How many more new market representatives will be added in BS 2071, than in BS 2070? Calculate it. [1]​

Respuesta :

Xaioo

Answer:

A) 10%

B) 330

C) 30

Step-by-step explanation:

(a) The annual growth rate of the market representatives is 10%. This is because the organization is increasing the number of market representatives by 1 new market representative from every group of 10 representatives every year.

(b) By the end of BS 2071, the number of new market representatives will be increased by 30. This is because the organization has 300 market representatives in BS 2070 and is increasing the number of market representatives by 10% every year.

(c) In BS 2071, the organization will add 30 more new market representatives than in BS 2070. This is because the organization is increasing the number of market representatives by 10% every year.

Here is the mathematical solution:

(a) The annual growth rate of the market representatives is 10%. This is because the organization is increasing the number of market representatives by 1 new market representative from every group of 10 representatives every year. The formula for calculating the annual growth rate is:

r = \frac{A_n - A_0}{A_0} \times 100

where:

* r is the annual growth rate

* A_n is the number of market representatives in the current year

* A_0 is the number of market representatives in the previous year

In this case, A_n = 300 and $A_0 = 300. Therefore, the annual growth rate is:

r = \frac{300 - 300}{300} \times 100 = 10\%

(b) By the end of BS 2071, the number of new market representatives will be increased by 30. This is because the organization has 300 market representatives in BS 2070 and is increasing the number of market representatives by 10% every year. The formula for calculating the number of market representatives in the current year is:

A_n = A_0 + r \times A_0

where:

* A_n is the number of market representatives in the current year

* A_0 is the number of market representatives in the previous year

* r is the annual growth rate

In this case, A_0 = 300and r = 10\%. Therefore, the number of market representatives in BS 2071 is:

A_n = 300 + 0.1 \times 300 = 330

(c) In BS 2071, the organization will add 30 more new market representatives than in BS 2070. This is because the organization is increasing the number of market representatives by 10% every year. The formula for calculating the number of new market representatives in the current year is:

N_n = A_n - A_0

where:

* N_n is the number of new market representatives in the current year

* A_n is the number of market representatives in the current year

* A_0 is the number of market representatives in the previous year

In this case,

A_n = 330 and A_0 = 300. Therefore, the number of new market representatives in BS 2071 is:

N_n = 330 - 300 = 30

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