Question

find the average increase rate if the increase in population for first year is 30 percent and that in the second year is 40 percent

Answer 1

The average would be 35%

Answer 2

a.41
b. 40
c. 56
d. 38

Answer 3

@surjithayer

Answer 4

assume we start with 1

1(1.3) is the value of the first time

1(1.3)(1.4) is the value after the second time .... right??

Answer 5

ok

Answer 6

so, what percentage does it take for 2 periods to go from 1 to 1(1.3)(1.4)?

Answer 7

1(1.r)(1.r) = 1(1.3)(1.4)

Answer 8

70 ?

Answer 9

(1+r)^2 = 1.3(1.4) = 1.82

so in 2 years we have a .82 increase

Answer 10

the 1+r may be extra baggage

Answer 11

1(1.3)(1.4)

why r u multiplying 1 , 1.3 and 1.4

Answer 12

spose we start with a population of 1

after the first time period we have 1(1.3) since we are told it has a 30$ increase

our new population is 1(1.3) and we increase by 40%: 1(1.3)(1.4) = 1.82 overall right?

Answer 13

other than that, what doe you material suggest you do to determine a solution? i may just be not reading this right

Answer 14

its from the chapter Averages

Answer 15

it gives answer 41

Answer 16

oh good, then my idea has some merit :)

Answer 17

.82 in 2 years is an average of .82/2

Answer 18

if we assume for simplicity that the original population is 1

year0= 1
year1=1(1.3) = 1.3
year2=1.3(1.4) = 1.82

1.82 - 1= .82 increase over 2 years

Answer 19

book gave this one ->100 130 182

i got it 30 52

=(30+52)/2=41

Answer 20

same idea yes