In the city of Orange, 250 new businesses opened in 1998. By the end of 1998 9.5% of businesses had failed and by the end of 2000 19% of the remaining businesses had failed.

How many businesses were open at the end of 1998? (

How many businesses of the remaining businesses were open at the end of 2000?

How many businesses were no longer operating after the two-year decline?

With the current trend of business failures predict the number of failing businesses for
the year 2002 using the remaining businesses after 2000

see below

Explanation:

1. In  1998, 250 new businesses opened

2. How many businesses of the remaining businesses were open at the end of 2000

By the end of 1998, 9.5% of the businesses failed, it means the number of businesses that failed was 9.5% of 250

=9.5/100 x 250

=23.75

=24 business failed in 1998.

By the end of 2000,( 19% of {250-24}) had also failed.

number of businesses that had failed in 1999 and 2000 were 19% of 226

=19/100 x 226

=42.94

=43 more failed.

The  remaining businesses at the end of 2000

=226-43

=183

3.  Businesses that were no longer operating after 2000 were

businesses that failed in 1998= 24

business that failed by 2000 = 43

=24 + 43

=67 businesses are no longer operating

4. With the current trend of business failures predict the number of failing businesses for the year 2002

19% of the remaining in 2000 will have failed by the end of 2002.

the remaining business after 2000 were 183

19% of 183 will fail between 2000 and 2002

=19/100 x 183

=0.19 x 183

=34.77

=35 more businesses will fail by end of 2002

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