T=log(15,400÷1,200)÷log(1.04)
T=65 years
        
             
        
        
        
Answer:
7/10
Step-by-step explanation:
To find the area of a rectangle you need to mulitiply the length and the width.
Length= 7/8.
Width= 4/5
7/8 × 4/5= 7/10.
 
        
             
        
        
        
Answer:
9
Step-by-step explanation:
The exterior angle is equal to the sum of the 2 opposite interior angles, therefore: 
9x + 9 = 45 × 5x
 4x = 36
 x = 9
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
1.  Angle 4 is congruent to angle 6
2.  Angle 3 is congruent to angle 5
 
        
             
        
        
        
Answer:
Part 1) The rate of change is 
Part 2) The initial value is 68
Part 3) The function rule to the linear model is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is 
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model

we have
substitute
