What is an equation of the line that passes through the point (4,-3)(4,−3) and is perpendicular to the line 4x+y=34x+y=3?
1 answer:
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Answer:
(x, y ) = ( ,
)
Step-by-step explanation:
given the 2 equations
4x + 2y = 7 → (1)
y = 5x → (2)
Substitute y = 5x into equation (1)
4x + 2(5x) = 7
4x + 10x = 7
14x = 7 ( divide both sides by 14 )
x = =
substitute this value into equation (2)
y = 5 × =
<h3>The population P(t) at the end of year t is 
</h3>
Step-by-step explanation:
The initial population of town of Madison = 25,000
The rate at which the population is increasing = 1.12 times
So, the increase in population first year :
( the initial population) x = 1.12 x ( 25,000)
= 28,000
So, the population at the end of first year = 28,000
Similarly, the increase in population second year :
( the initial population) x (1.12)² = ( 25,000) x (1.12)²
= 31,360
So, the population at the end of second year =31,360
Now, to calculate the population in t years from now:
The population P(t) at the end of year t is