In a survey of a group of people, it was found that 60 0f them have business, 45 have government jobs, 125 have farming, 27 have business

only, 15 have government job only, 10 have business and government

job only, 5 have government job and farming only.

i) How many people have all the profession?

ii) How many people were there in a survey?

i) 15  ii) 177

Explanation:

Number of people with business = 60

Number of people with farming = 125

Number of people with government jobs = 45

Number of people with business only = 27

Number of people with government jobs only = 15

10 have business and government  job only, 5 have government job and farming only.

i) Let x represent the number of people with all three jobs. Hence:

Number of people with government jobs = number of people with all three jobs + number of people with government and farming job + number of people with government and business + number of people with government job only

45 = x + 10 + 5 + 15

45 = x + 30

x = 15

15 people have all three profession.

ii)

Number of people with business jobs = number of people with all three jobs + number of people with business and farming job + number of people with government and business + number of people with business job only

60 = 15 + number of people with business and farming job + 10 + 27

number of people with business and farming job = 60 - 52 = 8

Number of people with farming jobs = number of people with all three jobs + number of people with business and farming job + number of people with government and farming + number of people with farming job only

125 = 15 + 8 + 5 + number of people with farming job only

number of people with farming job only = 125 - 28 = 97

Number of people surveyed = number of people with all three jobs + number of people with business and farming job + number of people with government and farming + number of people with farming job only +  number of people with government and business + number of people with business job only + number of people with government job only

Number of people surveyed = 15 + 8 + 5 + 97 + 10 + 27 + 15

Number of people surveyed = 177

the investment was $14,174.196

explanation:

a lump sum means that the father of the example made one deposit and leave it be.

we need to know the value of a capital that generated at 4.05% per year during 28 years the sum of $48,613.24

now clearing the formula to solve for capital we got:

and we reach the answer investment = $14,174.20