Keith started saving for retirement at age 45 with plans to retire at age 70. he invested an average of $500 per month in various securities, with an average annual return of 6% adjusted for inflation. assuming monthly compounding, how much has keith saved at the start of retirement? (show work)

a= $27,432.26
b= $446,496.98
c= $346,496.98
d= $712,355.15

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music.they were asked how they like three types of music: rock, country western and jazz.the results are summarized below: no one dislikes all three types of music.six like all three types of music.eleven don’t like country western.sixteen like jazz.three like country western and jazz, but not rock.six don’t like rock.eight like rock and country western.seven don’t like jazz.how many students were surveyed?