Cool

Write the indicated term of the binomial expansion

 (3x + 4)^5; 5th term

Determine which of the following matrix equations represents the solution to the system:

2x + y = 2

5x + 3y = 13.

using compound interest formula A(t)=P(1+r/n)^nt

After a certain number of years, the value of an investment account is represented by the expression 10,950 (1+0.02/4)^40

 How many years had the account been accumulating interest?

9

Σ 3x2^n-1

n=1

s_9=

In investigating different job opportunities, you find that firm A will start you at $25,000 per year and guarantee you a raise of $1,200 each year whereas firm B will start you at $28,000 per year but will guarantee you a raise of only $800 each year.

A). Create a sequence for firm A. What kind of sequence is it? Arithmetic? Geometric? Neither? Explain why you believe it is this sequence. B). Create a sequence for Firm B. What kind of sequence is it? Arithmetic? Geometric? Neither? Explain why you believe it is this sequence.C). Create an equation for each sequence. Show and explain how it was created.D). On the 15th year, how much would you receive from each firm? Use techniques learned in class. Explain answers in sentence form. Show work. Use formula from part C.

In investigating different job opportunities, you find that firm A will start you at $25,000 per year and guarantee you a raise of $1,200 each year whereas firm B will start you at $28,000 per year but will guarantee you a raise of only $800 each year.

 Create a sequence for firm A. What kind of sequence is it? Arithmetic? Geometric? Neither? Explain why you believe it is this sequence. 

B). Create a sequence for Firm B. What kind of sequence is it? Arithmetic? Geometric? Neither? Explain why you believe it is this sequence. 

C). Create an equation for each sequence. Show and explain how it was created. (