Respuesta :
Answer:
Quantity of wheat in 2015 is 19.8(1.098)(1.051) tons
Step-by-step explanation:
We are given
A farm grew 19.8 tons of wheat in 2013
In 2013:
quantity of wheat =19.8 tons
In 2014:
The farms's wheat output increased by 9.8% from 2013 to 2014
So, quantity of wheat becomes
[tex]=19.8(1+0.098)[/tex]
[tex]=19.8(1.098)[/tex]
In 2015:
The farms's wheat output increased by 5.1 from 2014 to 2015
so, it is increased by 5.1 % of 2014 quantity
so, we get
quantity of wheat in 2015 is
[tex]=19.8(1.098)(1+0.051)[/tex]
[tex]=19.8(1.098)(1.051)[/tex]
You can calculate how much 9.8% of 19.8 ton is and then add that to 19.8 and add 5.1 more to know the weight of wheat in tons produced in 2015.
The total output of wheat in tons, in 2015 is 26.84 tons.
How to know the wheat amount produced in 2015?
In 2014, there was increase of 9.8% wheat production than last year(2013).
Thus,
Production in 2014 = Production in 2013 + 9.8% of production in 2013
9.8% of production in 2013 = [tex]19.8 \times \dfrac{9.8}{100} = 1.9404[/tex]
Production in 2014 = 19.8 + 1.94 = 21.74
Production in 2015 = Production in 2014 + 5.1 tons= 21.74 + 5.1 = 26.84 tons
Thus, the total output of wheat in tons, in 2015 is 26.84 tons.
Learn more about percentage here:
https://brainly.com/question/626448
