You decide to take advantage of the current online dating craze and start your own web site. you know that you have 600 people who will sign up immediately and, through a careful marketing research and analysis, determine that membership can grow by 25 percent in the first two years, 22 percent in year 3, and 18 percent in year 4. how many members do you expect to have at the end of four years? (round intermediate calculations to 6 decimal places, in all cases round your final answer to the nearest whole number.)

1350

Step-by-step explanation:

Given:

Initial number of members = 600

Now,

Expected members = Initial members × ( 1 + r )ⁿ

by geometric progression

here,

r is the growth rate

n is the number of years

thus,

Number of members that expect at the end of 2 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 25%

n = 2 years

Expected members = 600 × ( 1 + 0.25 )²

= 937.5

similarly,

Numbers of members that expect at the end of 3 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 22%

n = 1 years    (i.e after the end of 2 year)

Initial members = 937.5  (i.e after the end of 2 years is the initial for the starting of third year )

Expected members = 937.5 × ( 1 + 0.22 )¹

= 1143.75

Numbers of members that expect at the end of 4 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 18%

n = 1 years    (i.e after the end of 3 year)

Initial members = 1143.75  (i.e after the end of 3 years is the initial for the starting of fourth year )

Expected members = 1143.75 × ( 1 + 0.18 )¹

= 1349.625

Hence,

Total expected people = 1349.625 ≈ 1350

=====================================

explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: