Both <em>Px</em> + <em>Qy</em> = <em>R</em> and <em>Tx</em> + <em>Uy</em> = <em>V</em> have the same solution (2, 9), meaning the point (2, 9) lies on both lines such that <em>x</em> = 2 and <em>y</em> = 9 makes both equations true.
When you add these equations together, you get
(<em>Px</em> + <em>Qy</em>) + (<em>Tx</em> + <em>Uy</em>) = <em>R</em> + <em>V</em>
→ (<em>P</em> + <em>T</em> ) <em>x</em> + (<em>Q</em> + <em>U</em> ) <em>y</em> = <em>R</em> + <em>V</em>
so the first option is equivalent.
When you subtract the first equation from the second, you get
(<em>Tx</em> + <em>Uy</em>) - (<em>Px</em> + <em>Qy</em>) = <em>V</em> - <em>R</em>
→ (<em>T</em> - <em>P</em>) <em>x</em> + (<em>U</em> - <em>Q</em>) <em>y</em> = <em>V</em> - <em>R</em>
so the third option is also equivalent.
Answer:
there are no choices
Step-by-step explanation:
Let's assume initial population is in 1999
so, production of passenger cars in Japan is 3.94 million in 1999
so, P=3.94 million
and the production of passenger cars in Japan is 6.74 million in 2009
so, A=6.74 million in t=2009-1999=10 years
now, we can use formula
here , r is interest rate
so, we can plug values
now, we can solve for
so,
the geometric mean annual percent increase is 5.516%............Answer