Please take your time with these questions you all have messed up before in the past please do this correctly. Document Preview: Week 11 Final Math 1. Many states offer personalized license plates....

Week 11 Final Math

1. Many states offer personalized license plates. California, for example, allows personalized
plates with seven spaces for numerals or letters, or one of the following four symbols.

What is the total number of license plates possible using this counting scheme? (Assume that
each available space is occupied by a numeral, letter, symbol, or space. Give the answer in
scientific notation. Round the first number to two decimal places).
22.48
10
6

2. Do the following.
(a) What is the sum of the first 45 consecutive odd numbers?
2025
Tell whether it illustrates inductive or deductive reasoning.
Inductive reasoning deductive reasoning
(b) What is the sum of the first 900 consecutive odd numbers?
900000
Tell whether it illustrates inductive or deductive reasoning.
Inductive reasoning deductive reasoning
3. Suppose that you want to purchase a home for $450,000 with a 30 year mortgage at 6%
interest. Suppose that you can put 30% down. Assume that the monthly cost to finance $1,000 is
$6.00. What is the total amount of interest paid on the 30 year loan?
$
365400
4. Do the following.
(a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in
terms of ln(x) in your answer.)

0.434 ln(125)


b) Give a calculator approximation (correct to four decimal places).
2.0969
5. If a business borrows $20,000 and repays $31,700 in 6 years, what is the simple interest rate?
9.75
%
6. Find the ending balance in an account that opens with $6,000, earns 7.5% interest
compounded quarterly, and is held for 5 years. (Round your answer to the nearest cent.)
$
8699.69
7. Determine whether the following figure represents a fair game. Assume that the cost to spin
the wheel once is $5.00 and that you will receive the amount shown on the spinner after it stops.


E = $
-0.25

don't play


8. If the principal P = $1000, the interest I = $900, and time t = 6 years, find the following.
(a) What is the rate?
15
%
(b) What is the future value?
$
1900
9. Evaluate the following expression.
110
10. The Adobe School District is hiring a vice principal and has interviewed four candidates:
Anthony (A), Bono (B), Clark (C), and Davy (D). The results of the hiring are shown in the
following table.
(ACDB) (CBAD) (BCDA) (DBCA) ...