Answer:
   year 2139
Step-by-step explanation:
The population will double when the factor e^(.005t) is 2.
   e^(.005t) = 2
   .005t = ln(2)
   t = ln(2)/0.005 = 138.6
The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.
 
        
             
        
        
        
Answer:
£30
Step-by-step explanation:
Let Brian initially had money in his wallet = £x
and Colin had the money = £y
Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1
Therefore,  
⇒ x = 5y -------(1)
Brian spent £27 that day, so money left with him = £(x - 27)
After spending the money Brian had £3 less than Colin.
(x - 27) = (y - 3)
x = y + 27 - 3
x = y + 24 -------(2)
Now we equate the equations (1) and (2) for the value of x,
5y = y + 24
5y - y = 24
4y = 24
y = £6
From equation (2),
x = 6 + 24
x = £30
Therefore, Brian initially had £30.
i hope this helps
 
        
             
        
        
        
The true statement about the distribution of any variable model around the mean is (D) The distribution of the variable is the same shape as the distribution of its residual
<h3>The true statement about the 
distribution</h3>
From the question, we understand that the distribution of the model is based on its mean or average value.
The above means that the upper and the lower deviations are balanced.
Hence, the true statement about the distribution of any variable model around the mean is (D)
Read more about distribution at:
brainly.com/question/15713806
 
        
             
        
        
        
Answer:  y = 5x + 13
<u>Step-by-step explanation:</u>
Parallel means it has the same slope.  
Given line y = 5x + 5  --> the slope is 5, so parallel slope is 5
Use the Point-Slope formula: y - y₁ = m(x - x₁)  such that
y + 2 = 5(x + 3)          <em>input m and (x₁, y₁) into the Point-Slope formula</em>
y + 2 = 5x + 15          <em>distributed</em>
      y = 5x + 13          <em>subtracted 2 from both sides</em>
 
        
             
        
        
        
Answer:
2.75 dollars
Step-by-step explanation:
4-1.25=2.75