Owners of 800 homes in a subdivision list their houses, on average, every eight years. If a sales associate farms that neighborhood and lists 20% of the homes, how many homes can she expect to list this year

20 homes

Step-by-step explanation:

Given that :

Total number of homes = 800

Average years at which homes are listed = 8 years

To obtain the annual home listing = total number of Homes / average years

Annual home listing = 800 / 8

Annual home listing = 100 homes

If 20% of the homes are listed on the year in question :

20% of 100 homes

0.2 * 100

= 20 homes

20 homes can be listed that year

47

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2