Answer:
The monthly disability benefit is $2580
Explanation:
Given
![Final\ Salary\ (P) = \$43000](https://img.qammunity.org/2021/formulas/mathematics/high-school/b9hpe8m1c8c4pw4vvpj4452l3za5xwx7he.png)
![Age = 52](https://img.qammunity.org/2021/formulas/mathematics/high-school/3ivcsyahxefhovnrnj3phw3glvx5mnv3zz.png)
![Benefit\ Rate (R) = 2\%](https://img.qammunity.org/2021/formulas/mathematics/high-school/zttknlm4xo391qegcag2yr6rxj07vee7oy.png)
Worked = 26 years
Expected = 62 years
Required
Determine the monthly disability benefit
First, we need to determine the years (T) left for her to work;
![T = Expected - Worked](https://img.qammunity.org/2021/formulas/mathematics/high-school/xxz86i4zceh6soszr97o8lj6b3mqlc856w.png)
![T = 62 - 26](https://img.qammunity.org/2021/formulas/mathematics/high-school/yoojtfx49qv8lu4i8mgtaglzvpuo9k95h3.png)
![T = 36](https://img.qammunity.org/2021/formulas/mathematics/high-school/xmrgff3fn5eutrpt4gmc4zy4fkvjo7g78u.png)
Next, is to calculate the yearly disability benefit as follows;
![Benefit = PRT](https://img.qammunity.org/2021/formulas/mathematics/high-school/jzrthd7h0z4lg5x3s94cyuoej8td2h7soc.png)
Substitute 36 for T, 2% for R and 43,000 for P
![Benefit = 43000 * 2\% * 36](https://img.qammunity.org/2021/formulas/mathematics/high-school/4ziwikj6vlg46t1y7rh7xo6qowh56piex2.png)
Convert percentage to decimal
![Benefit = 43000 * 0.02 * 36](https://img.qammunity.org/2021/formulas/mathematics/high-school/wjrm28t3q2lgcs77vghzw75r81wbddvc33.png)
![Benefit = 30960](https://img.qammunity.org/2021/formulas/mathematics/high-school/11yyf7jxhbsh5y3bqzflpsppo2fzymzdd7.png)
There are 12 months in a year;
So; Monthly Benefit is as follows;
![Monthly = (30960)/(12)](https://img.qammunity.org/2021/formulas/mathematics/high-school/v8vy9fo089fpnk2dr1snpjdrpffzaozmrn.png)
![Monthly = \$2580](https://img.qammunity.org/2021/formulas/mathematics/high-school/67aygtdpoeu6rybbju2g026cqrc0yzzy4j.png)
Hence, the monthly disability benefit is $2580