Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:

Where, a is the initial value, r is the growth rate and t is the number of years.
Putting
in the above model, we get




Therefore, the cost of living in 20 years is about $116745.10.
Answer:
2/7
Step-by-step explanation:
Since 4 out of 14 times it landed on blue, it must have a 4/14 experimental probability of 4/14 for landing on blue. 4/14 simplifies to 2/7.
Find the gradient
m = y2-y1 / x2-x1
m = 4-(-2) / 3-(-3)
m = 6 / 6
m = 1
Insert the values of one of the points into y=mx+c to find c (choosing point (3,4)):
y = mx + c
4 = 1(3) + c
c = 4 - 3
c = 1
Therefore, the equation is:
y = x + 1
The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.
Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35
So, this geometric sequence is 5 ; 35 ; 245 and so on.
-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)
Answer:
w = (0, 15)
Step-by-step explanation:
w²-15w =0
w(w-15)=0
w=0 , w=15
if w=0
0(0-15)=0
0(-15)=0
0=0
if w=15
15(15-15)=0
15(0)=0
0=0