Question

Площадь посева в первый год составила 200 гектаров во второй год и увеличили на 20% и третий год Еще на 20% сколько гектаров составила площадь посева в 3 год Помогите решить по формуле при сложным процентам росте

Answer 1

100 %+20% =120 % увеличенная площадь
200 га -100%
 ? га - 120 % 
200*120:100=240 га стало во второй год  
240 га- 100 %
? га - 120 %
240*120:100=288 га составила площадь в третий год

Answer 2

Calculating Crop Area Growth Using Compound Interest Formula

To calculate the crop area growth over three years with a 20% increase each year, we can use the compound interest formula. The formula for calculating the amount after applying compound interest is:

A = P(1 + r/100)^n

Where: - A = the amount after n years - P = the principal amount (initial crop area) - r = the annual interest rate (20% increase in this case) - n = the number of years

Applying the Formula

Given: - Initial crop area (P) = 200 hectares - Annual increase rate (r) = 20% - Number of years: - Year 1: n = 1 - Year 2: n = 2 - Year 3: n = 3

Year 1 Calculation

A1 = 200(1 + 20/100)^1 A1 = 200(1.20) A1 = 240 hectares

Year 2 Calculation

A2 = 240(1 + 20/100)^1 A2 = 240(1.20) A2 = 288 hectares

Year 3 Calculation

A3 = 288(1 + 20/100)^1 A3 = 288(1.20) A3 = 345.6 hectares

Therefore, the crop area in the third year, after a 20% increase in the second year and another 20% increase in the third year, is 345.6 hectares.