Answer:
Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.
Step-by-step explanation:
This question can be solved by a rule of three.
Government statistics show a consumer price index of 15.2 for 1931 and 237 for 2015.
This means that $15.2 in 1931 is equivalent to $237 in 2015. So
$15.2 in 1931 - $237 in 2015
$80,000 in 1931 - $x in 2015
Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.
We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3