Exam 4: Living in a Nonlinear World

Factor the binomial completely.

Moe borrowed $200 for 18 months at 5% simple interest. a. How much interest will Moe have to pay? B. What will be the total amount he has to pay back?

The population of bacteria culture was 2000 at noon, and was increasing at a rate of 10 % per hour. The number of bacteria can be found using the function where t is the number of hours past noon. Predict the population 9 hours later, at 9 PM to the nearest whole number.

Factor completely.

Solve the equation by using the quadratic formula.

Graph the function

Multiply the polynomials.

Write the equation in the form $a x ^ { 2 } + b x + c = 0$ Then identify the values of a, b , and c . $x ^ { 2 } + 36 = 0$

The graph shown below represents a company's profit (y-axis)in dollars based on the number of items (x-axis)produced by the company. a. What is the y-intercept of this graph? What does it represent? b. What are the x-intercepts of this graph? What do they represent? c. What is the maximum amount of profit this company can earn? d. How many items must the company produce in order to reach the maximum profit?

Find the simple interest and the total amount including interest. Principal Annual Interest Rate Time in Years Interest Total Amount \ 5000 5.2\% 5

Factor the binomial completely. $16 x ^ { 2 } + 9 y ^ { 2 }$

Simplify.

Simplify. Write your answer in exponent form.

Factor the binomial completely.

Multiply the polynomials.

Find the total amount for the investment using compound interest. Principal Annual Interest Rate Time in Years Compounded Total Amount \ 9000 8.5\% 5 annually