Answer:
The population will reach 20,400 after 6 years.
Step-by-step explanation:
Exponential function:

y(t)= Population after t years
= initial population
r= rate of grow
t= time.
A town has a population of 17,000 and grows at a rate 3% every year.
y(t)= 20,400,
= 17,000, r=3%=0.03, t=?



Taking ln function both sides



⇒ t = 6 year.
The population will reach 20,400 after 6 years.
Answer:
80%/100%×$24
Step-by-step explanation:
I don't see any options here so let's work it out.
If all prices are reduced by 20%,it implies that 80% of the original value is charged to the buyer as sales price.
Since original value of the pants is $24-100%
then sales value(80%)=(80%/100%×$24)
Work = Force * distance (along the line of force)
= 20N*10m
=200 N-m
=200 joules
Answer:
c = 9 feet
Step-by-step explanation:
In this situation, one is to find the 'c' : that is, the distance between the vertex and the focus.
Given that, the equation for a vertical parabola:
y = (1/4c)(x-h)^2 + k
Supposing we place our parabola at the center, our equation becomes:
y = (1/4c)x^2
.
The problem gives us a point on the parabola: (12,4)
Then insert it in and solve for 'c':
y = (1/4c)x^2
4 = (1/4c)12^2
4 = (1/4c)144
4 = (1/c)36
4c = 36
c = 36/4
c = 9 feet