The population of Latvia in 1989 was 2 700 000. In 1994 it was 2 500 000. Calculate the percentage decrease in the population between 1989 and 1994

7.4%

Step-by-step explanation:

Given parameters:

Population of Latvia in 1989 = 2700000

Population of Latvia in 1994  = 2500000

Unknown:

Percentage decrease in population  = ?

Solution:

The change in population;

  Change in population = 2700000-2500000 = 200000

Percentage decrease  =

Percentage decrease  = x 100 = 7.4% decrease

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.