In a sale, a clothes shop reduces its prices by 30%.
2 answers:
You might be interested in
Answer:
The required point is, (7, -2)
Step-by-step explanation:
The straight line passing through (0,0) and (2,7) is,
y =
⇒ y = 3.5x --------------(1)
Now, the straight line perpendicular to this line and passing through (0, 0) is
y =
⇒ 7y + 2x = 0 -------------(2)
Let, (h,k) be the required point.
then, it is on the line 7y + 2x = 0
⇒7k + 2h = 0
⇒k = ------------(3)
Again, distance from (0,0) of (h, k) is same as that of (2,7)
⇒
⇒ = 53 [putting the value of k from (3)]
⇒ = 49
⇒h = 7 [since, (h,k) is in 4th quadrant, so,h >0]
So, k = -2 [putting the value of h in (3)]
So, the required point is, (7, -2)
Answer: 2023
Step-by-step explanation:
Since, the initial population of the city is 55,210,
And, it is declining at a rate of 1.09%.
Thus, the function that shows the population after x years since 2010 is,
If the population of town is 48000 in x years.
⇒
⇒
⇒
Therefore, after 12.769 years the population of town will be equals to 48,000
⇒ After 12.770 years the population will first be below 48,000.
⇒ After approx 13 years the population will first below 48,000.
⇒ Around 2023 the population will be first below 48,000.
