Last semester I have taken college algebra and I have failed miserably in the class. My main downfall in the class was my final project and my final. My final project was a three part project two of the three parts I have answered correctly, but the third none of my calculations is correct can you help me with this one?
Let’s consider the US national debt and the US population as a function of time. We will be using this throughout Part A of the project.
1. Algebraic Equations The current population of the United States is 317,000,000. The current national debt total is $17,000,000,000.
a. Based on these figures, use algebraic equations to calculate the approximate amount of debt per citizen. Show all of your work.
2. Linear Equations
Assume the population growth is a linear function that grows at a steady, unchanging rate of 0.9% per year, and that debt growth is a linear function that grows at a steady, unchanging rate of 13% per year.
Using the population and debt figures from section 1:
a. Find the linear equation for population in slope-intercept form.
b. Find the linear equation for debt in slope-intercept form
3. Graphing Linear Equations, Algebraic Equations
Begin with figuring out the algebraic equation for each, and then graph the linear equation. There will be two graphs, one for the population and one for the debt. Please show your work for how you figured out each graph.
Using the population and debt information from section 1:
a. Graph the linear equation for population growth and debt in two separate graphs. Label the values of the x- and y-axes and title each graph. Show x from 0 (current year) to 30 (30 years from now).
b. Determine what the population and national debt will be 30 years from now. Calculate what the debt per citizen will be in 30 years. Show all your work.
4. Algebraic Equations, Graphing, and Linear Functions
Using calculations from sections 1 and 3:
a. Calculate the population, national debt, and debt per citizen in 10 and 20 years from now.
b. Complete the table below with your calculations:
c. Using the figures from the table above, graph the function that shows the amount of debt per citizen as a function of time.
i. Label the values of the x- and y-axes and title the graph.
ii. Show x from 0 (current year) to 30 (30 years from now).
Time (years) Debt ($) Population Debt/Citizen 0 17,000,000,000 317,000,000 10 20 30
Identify the ordered pairs at x = 0, 10, 20 and 30 years either on the graph or below it. Is this a linear function? Why or why not?
Using the added information (below) regarding compound interest, calculate the national debt will be in 5, 10, and 20 years. Show equations for all three calculations. Please find the exact values, do not round.
The current national debt is $17,000,000,000. If the current compound interest rate on our national debt is 8% (compounded annually):
a. What will the national debt be in 5,10, and 20 years?
6. Algebraic Equations Solve the following problem using an algebraic equation. Find the exact value and show all of your work.
The current national debt is $17,000,000,000. The interest rate is 8% and is compounded annually.
a. At what point does the compound interest on the national debt double the amount from the current year