Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
The population of both villages are same after x years after 1980 if
Splitting the middle term, we get
It means, after 15 or 35 years, the population will same.
For x=15, years is 
and population is
For x=35, years is 
and population is
.
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.
Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
(
, 
) and (
, 
) is
In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴ = -15 and = x
∴ = 13 and = y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴ 
= -24 and 
= 15
→ Use the rule of the mid-point to find x and y
∵ 
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵ 
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)
Answer:
It's 8 the answer is 8
Step-by-step explanation:
Answer:
(a-f)/6 = r
Step-by-step explanation:
The total Bonnie must pay is the weekend fee plus the hourly rate times the hours worked
Cost = weekend fee * hourly rate* hours
hours = 6
weekend fee =f
hourly rate = r
Cost = a dollars
Substituting in what we know
a = f+ 6r
We want to solve for r
Subtract f from each side
a-f =f-f +6r
a-f = 6r
Divide each side by 6
(a-f)/6 = 6r/6
(a-f)/6 = r
