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In early 2011, the U.S. Department of Housing and Urban Development reported some grim numbers on the housing industry. There were 507,000 building permits issued for single-family home construction in 2010, but that number was projected to decrease by 27.2% in 2011. Construction was expected to start on 389,000 new homes in 2011, which would have represented a 28.5% decrease from 2010. Also, in the 12-month period through January 2011, 286,000 new homes were sold, but this represented just 67% of new homes completed.

a) How many fewer permits were expected to be issued for single-family homes in 2011 as compared to 2010? If necessary, round your answer to the nearest whole number.

b) How many fewer new homes were started in 2011 compared to 2010? If necessary, round your answer to the nearest whole number.

c) How many new homes were completed in the 12-month period through January 2011, and how did that compare to the number of new homes started in 2010?

please help fast!!!

Respuesta :

Brainlysahab

Step-by-step explanation:

a) To find the number of fewer permits expected to be issued for single-family homes in 2011 compared to 2010, we need to calculate the decrease.

The decrease in permits issued in 2011 compared to 2010 is given as 27.2%.

To calculate the number of fewer permits, we can multiply the decrease percentage by the number of permits issued in 2010:

Number of fewer permits = 27.2% of 507,000

Number of fewer permits = (27.2/100) * 507,000

Number of fewer permits ≈ 137,904

Therefore, approximately 137,904 fewer permits were expected to be issued for single-family homes in 2011 compared to 2010.

b) To find the number of fewer new homes started in 2011 compared to 2010, we need to calculate the decrease.

The decrease in new homes started in 2011 compared to 2010 is given as 28.5%.

To calculate the number of fewer new homes started, we can multiply the decrease percentage by the number of new homes started in 2010:

Number of fewer new homes started = 28.5% of 507,000

Number of fewer new homes started = (28.5/100) * 507,000

Number of fewer new homes started ≈ 144,795

Therefore, approximately 144,795 fewer new homes were started in 2011 compared to 2010.

c) The number of new homes completed in the 12-month period through January 2011 is given as 286,000.

To compare the number of new homes completed to the number of new homes started in 2010, we need to calculate the percentage of completion.

Percentage of completion = (Number of new homes completed / Number of new homes started in 2010) * 100

Percentage of completion = (286,000 / 507,000) * 100

Percentage of completion ≈ 56.4%

Therefore, the number of new homes completed in the 12-month period through January 2011 was 286,000, which represents approximately 56.4% of the number of new homes started in 2010.

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