Mac 1105 I need to completely all the questions showing work

I need to answer all of these Algebra problems showing as much work as possible. Thank you

7. The population of a small town in Alabama has shown a linear decline in the years 2001–2012. The
population in 2001 was 7325 and in 2012 it was 6753.
(a) Write a linear equation expressing the population of this town, P, as a function of t, the number
of years since 2001.
cc.fl.edi
A
(b) If this town is still experiencing this linear decline, what will the population be in 2018?
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8. $20,000 is invested in a bank account. The amount A(t) in dollars in the account after t years is
given by the exponential function A(t) = 20,000 e0.026t
(a) Determine the amount in the account after 10 years. (round to 2 decimal places)
(b) How many years will it take for the account to grow to $30,000? (round to 3 decimal places)
12.
(a) Solve algebraically.
52–2 = 32
(b) State the solution as a decimal rounded to 4 decimal places.
S
13. Use your calculator to find the zero(s) and the relative minimum of the function
f(x) = 3×3 – 2×2 – 4x – 3
7
(a) The zero(s) is(are)
(round to 4 decimal places)
(b) The relative minimum is
(round to 4 decimal places)
14. Answer the following questions using the given graph of f(x).
(a) What is the domain? Write in interval notation.
(b) On what interval(s) is the function increasing?
(c) What is f(0)?
(4,-2)
(-3,-4)
(d) What is/are the real zero(s) of the function?
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9. A model rocket is launched with an initial velocity of 120 feet per second from a height of 20 feet.
The height of the rocket t seconds
after it has been launched is given by the function
s(t) = -16t2 + 120t + 20.
(a) After how many seconds will the rocket reach its maximum height?
(b) What will be the maximum height of the rocket?
10.
y.
(a) Graph the function
f(x) = log2 (x – 2).
(b) Label the x-intercept and at least
one other point as ordered pairs.
(c) Draw the asymptote and label with
its equation.
2
11. Solve algebraically.
logz X + log: (x – 8) = 2