The Hawaii department of labor issued a press release at the beginning of 2011 stating that it projected "green jobs" (jobs related to renewable energy and energy efficiency) to increase by 26% between 2010 and 2012. Green jobs in the private sector in Hawaii were estimated at 11,145 in 2010, accounting for 2.4% of total private employment. (a) How many total jobs were there in the private sector in Hawaii in 2010?

(b) How many green jobs in the private sector were expected by 2012?

(c) If the overall job market was projected to increase by 4.3%, what percentage of total private-sector jobs was projected to be green by 2012?

Kindly check explanation

Step-by-step explanation:

Given the following :

Number of Green jobs in Hawaii (2010) = 11,145 ; equivalent to 2.4% of total private employment

Projected increase by 26% between 2011 and 2012

(a) How many total jobs were there in the private sector in Hawaii in 2010?

2.4% = 11,145

100% = x

0.024x = 11,145

x = 11,145 / 0.024

x = 464,375

Total private employment in Hawaii (2010) = 464,375

B) How many green jobs in the private sector were expected by 2012?

Projected increase in green jobs by 26%

Present number of green jobs = 2.4%

Hence, by 2012, the total percentage = (26+2.4)% = 28.4%

2.4% = 11,145

28.4% = x

0.024x = (0.284 × 11,145)

0.024x = 3165.18

x = 3165.18 / 0.024

x = 131,882.5

(C) If the overall job market was projected to increase by 4.3%, what percentage of total private-sector jobs was projected to be green by 2012?

Increase of 4.3% in overall job market :

104.3% × 464,375

1.043 × 464,375 = 484,343.125

Percentage projected to be green by 2012:

(Projected number of green jobs in 2012 / projected number of total employment) × 100%

(131,882.5 / 484,343.125) × 100%

0.2722914 × 100% = 27.23%

The answer is below

Step-by-step explanation:

a) Given that Green jobs in the private sector in Hawaii were estimated at 11,145 in 2010 representing 2.4% of total private employment.

Let x represent the total jobs in the private sector in Hawaii in 2010. Hence:

2.4% of x = 11145

0.024 × x = 11145

x = 11145/0.024

x = 464375

The total jobs in the private sector in Hawaii in 2010 was 464375 jobs.

b) The number of green jobs was expected to increase by 26% between 2010 and 2012.

The number of green jobs in 2010 was 11145, therefore:

The increase in green jobs from 2010 and 2012 = 26% × 11145 = 0.26 × 11145 = 2898 jobs

Therefore the number of green jobs in the private sector that was expected by 2012 = 11145 + 2898 = 14043 jobs

c) Since there was a projected increase of 4.3%:

The number increase of total private-sector jobs projected in 2012= 4.3% × total jobs in the private sector in Hawaii in 2010 = 0.043 × 464375 jobs = 19969 jobs

Projected total jobs in the private sector in Hawaii in 2012 = 464375 + 19969 = 484344

percentage of total private-sector jobs was projected to be green by 2012 =  number of green jobs in the private sector expected by 2012 / Projected total jobs in the private sector in Hawaii in 2012 × 100% = 14043/ 484344 × 100%

percentage of total private-sector jobs was projected to be green by 2012 =  2.9%

the answer is 13 cm