Slope is 5/4 and y-intercept is -4
hope this helps
        
             
        
        
        
Answer:
possible values of 4th term is 80 & - 80
Step-by-step explanation:
The general term of a geometric series is given by

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term
- Given, 5th term is 40, we can write:

- Given, 7th term is 10, we can write:

We can solve for a in the first equation as:

<em>Now we can plug this into a of the 2nd equation:</em>
<em> </em>
</em>
<em />
<em>Let's solve for a:</em>
<em> </em>
</em>
<em />
Now, using the general formula of a term, we know that 4th term is:
4th term = ar^3
<u>Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:</u>

possible values of 4th term is 80 & - 80
 
        
             
        
        
        
Angle D is equal to Angle B because AB and DE are parallel to each other.
AD is a straight line so the (2) 2x angles and 72 degrees need to equal 180.
 Setting up the equation you have:
2x + 2x + 72 = 180
Simplify:
4x + 72 = 180
Subtract 72 from each side:
4x = 108
Divide both sides by 4:
x = 108 / 4
x = 27
 
        
             
        
        
        
Answer:
The correct answer is 54.76 years.
Step-by-step explanation:
The national health care expenditure (H) , in billion of dollars is modeled by
H = 29.57 ×  .
.
To measure the time before which national health expenditure reach 6000 billion dollars.
Thus putting the value of H = 6000 in the above modeled equation we get,
⇒ 6000 = 29.57 × 
⇒  =
 = 
⇒ 202.908 = 
Taking logarithm with the base of e (㏑) both sides we get,
⇒ ㏑ 202.908 = ㏑ 
⇒ ㏑ 202.908 = 0.0970 × t
⇒ 0.0970 × t = 5.312
⇒ t = 
⇒ t = 54.76.
Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.
 
        
             
        
        
        
Monday $2000 Tuesday $1800 wendsday $ 1440 thursday $5670