HELP: I need help on multiple questions for a quiz before tomorrow night. If all is answered, you will get 40+ points and marked as the Brainliest for whoever explains the process to these problems.

1. Evaluate the function to answer the question.

The value of a tractor decreases over time and is given by V(t)=55,000 - 5,500t, where V(t) is the value in dollars of the after t years. Find the value (in dollars) of the tractor after 4 years.

2. Evaluate the function to answer the question.

The value in dollars of a $5,000 investment after n years is given by f(n) = 5,000(1.05)^n. Find the value of the investment (in dollars) after 4 years. (Round your answer to the nearest cent.)

3. The time, T, in seconds, it takes a pendulum to make one swing depends on the length of the pendulum and is given by

T (L) = 2π√(L/32),

where L is the length of the pendulum in feet.

(a) Find the time (in seconds) it takes the pendulum to make one swing if the length of the pendulum is 6ft. Round to the nearest hundredth of a second.

(b) Find the time it takes (in seconds) the pendulum to make one swing if the length of the pendulum is 9in. Round to the nearest hundredth of a second.

4. Evaluate the function to answer the question.

Botanists have determined that some species of weed grow in a circular pattern. For one such species, the area A, in square meters, can be approximated by A(t) = 0.006πt^2 where t is the time in days after the growth of the weed first can be observed. Find the area (in square meters) this weed will cover 100 days after the growth is first observed. Round to the nearest square meter.

5. A weight loss program advertises a person can attain an average weight loss of 4 pounds per week.

(a) What is the average rate of change (in pounds per week) for this weight loss program?

(b) If a person who weighs 180 pounds follows the weight loss program, what is the person's weight (in pounds) after 5 weeks?

6. Evaluate the function to answer the question.
The Karvonen formula is one formula used to determine the target heart rate for a person training for fitness. The formula is given by T = p (220 – A) + H (1 – p), where T is the target heart rate (in beats per minute), A is the age of the person (in years), H is the resting heart rate (in beats per minute), and p is the percent intensity (expressed as a decimal) of the workout.

What are the independent variables? (Select all that apply.)
A
H
P
T

What are the dependent variables?
A
H
P
T

A trainer has determined that a client who is 35 years old and has a resting heart rate of 60 beats per minute should train at an intensity of 65%. What is the target heart rate (in beats per minute) for this person? Round to the nearest whole number.