Answer:
(x,y) = (5.8,-0.4)
Step-by-step explanation:
1.) x + 2y = 4.2 - 2y = 5
2.) { x + 2y =5
{ 4.2 - 2y = 5
3.) { x + 2y = 5
{ y = -0.4
4.) x + 2x ( -4.0 ) = 5
5.) x= 5.8 ( a possible solution )
6.) ( x , y ) = ( 5.8 , -0.4 ) check to the solution
7.) 5.8 + 2 x ( -0.4 ) = 4.2 - 2 x ( -0.4 ) = 5
8.) 5 =5 =5
Answer: (0.132132, 0.274368)
Step-by-step explanation:
Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.
i.e. n= 123
Critical value for 95% confidence interval : 
Confidence interval for population :
i.e. 
Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)
Answer: 64 years
Step-by-step explanation:
Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:
R1 = P(1.05)^t,
This means that after t years, the dealer would have the total amount of:
$P×1.05^t.
If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:
R2 = $P(1 + 20).
The value of t which will make both returns equal, will be;
R1 = R2.
P×1.05^t = P(1+20)
P will cancel out
1.05^t = 21
Log both sides
Log1.05^t = Log21
tLog1.05 = Log21
t = Log21/Log1.05
t = 64 years
The best time to sell the wine is therefore 64years from now.
It is decreased by a factor of 3. You can determine this by realizing that one inch original equals 3.3 feet, but the equals 1.1 feet, and 3.3/1.1 = 3.
