Answer:
Part A) 
Part B) 
Step-by-step explanation:
Part A) What is the explicit rule for the number of residents
we know that
In this problem we have a exponential function of the form

where
a is the initial value
b is the base
r is the rate
(1+r)=b
so
Let
y ----> the number of residents
x is the time in years
we have
a=1,000 residents
r=1%=0.01
b=(1+0.01)=1.01
substitute

Part B) How many residents will there be in the town in Year 10?
For x=10 years
substitute in the equation


3(8 – 4x) < 6(x – 5)?- 12x + 24 < 6x - 30
- 12x - 6x < - 30 - 24
- 18x < - 54 .(- 1)
18x > 54
x > 54/18
x > 3
Answer:

Step-by-step explanation:







Answer:
3y^5(2y^3+3)=−6y^8−9y^5
−2c^6(5c^3+6)=−10c^9−12c^6
are the correct equations.
Step-by-step explanation:
If you simply all these equations you will get following equations :
when bases are same and are in multiplication we add the exponents.
−4b^4(5b^2+6)=−20b^6−24b^4
−5x^3(3x^3+2)=−15x^6−10x^3
−3y^5(2y^3+3)=−6y^8−9y^5
−2c^6(5c^3+6)=−10c^9−12c^6
so equation 3 and 4 are correct.