A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the account be worth in 20 years? What if the deposit was calculated using simple interest? Could you see the situation

## College Algebra, Week 5, Task 2

Reflect on the concepts of linear and non-linear systems. What concepts (only the names) did you need to accommodate the concept of linear and non-linear systems in your mind? What are the simplest linear system and non-linear system you can

## College Algebra, Week 5, Task 1

The population of a culture of bacteria is modeled by the logistic equation P(t)= \frac{14,250}{1+29e^{-0.62t}. To the nearest tenth, how many days will it take the culture to reach 75% of its carrying capacity? What is the carrying capacity? What

## College Algebra, Week 4, Task 3

1.What can be said about the domain of the function f ∘ g where f(y) = 4/(y-2) and g(x) = 5/(3x-1)? Express it in terms of a union of intervals of real numbers. Go to www.desmos.com/calculator and obtain the graph

## College Algebra, Week 4, Task 2

Reflect on the concept of composite and inverse functions. What concepts (only the names) did you need to accommodate these concepts in your mind? What are the simplest composite and inverse functions you can imagine? In your day to day,

## College Algebra, Week 4, Task 1

What happens if we graph both ƒ and ƒ^(-1) on the same set of axes, using the x-axis for the input to both ƒ and ƒ^(-1)? [Suggestion: go to www.desmos.com/calculator and type y = x^3 {-2 < x < 2}, y

## College Algebra, Week 3, Task 2

Reflect on the concept of polynomial and rational functions. What concepts (only the names) did you need to accommodate these concepts in your mind? What are the simplest polynomial and rational function you can imagine? In your day to day,

## College Algebra, Week 3, Task 1

Please check the expression and answer the following questions. With the help of zeros, asymptotes, domain, and range, try to plot the function without the Desmos graph-making tool, then plot the same with the Desmos graphing tool, and check if

## College Algebra, Week 2, Task 3

1. Determine whether the lines given by the equations below are parallel, perpendicular, or neither. Also, find a rigorous algebraic solution for each problem. To determine whether the given lines are parallel, perpendicular, or neither, we can compare their slopes.

## College Algebra, Week 2, Task 2

Reflect on the concept of lines and quadratic functions. What concepts (only the names) did you need to accommodate the concept of lines and quadratic functions in your mind? What are the simplest line and quadratic function you can imagine?