Evaluate

$$\left(\begin{array}{l}9 \\ 4\end{array}\right)$$

A grandfather clock strikes a chime indicating each hour of the day, so it chimes 3 times at 3:00, 10 times at 10:00, and so on.

How many times will it chime in a 24-hour day?

A new car costing $50,000 depreciates by 20% of its original value each year.

What is the value of the car at the end of the third year?

A grandfather clock strikes a chime indicating each hour of the day, so it chimes 3 times at 3:00, 10 times at 10:00, and so on.

How many times will it chime in a 12-hour period?

Write the indicated term of the binomial expansion.

The fifth term of $(m+n)^6$

To perform calculus operations on functions, it is frequently desirable or necessary to write the function in the form $y=c x^b$, where b is a constant. Write the function in this form.

$$y=2 \sqrt[3]{x^2}$$

Evaluate $\frac{6 !}{5 ! 3 !}$

Graph the solution of the system of nonlinear inequalities.

$$\left\{\begin{array}{l}x^2-y-8 x \leq-6 \\ y+9 x \leq 18\end{array}\right.$$

s Suppose you are offered two identical jobs, one paying a starting salary of $40,000 with yearly raises of$2000 and one paying a starting salary of $36,000 with yearly raises of$3000.

What factor is important in deciding which job to take?

s Suppose you are offered two identical jobs, one paying a starting salary of $40,000 with yearly raises of$2000 and one paying a starting salary of $36,000 with yearly raises of$3000.

Which job will pay more over the first 12 years? How much more?

s Suppose you are offered two identical jobs, one paying a starting salary of $40,000 with yearly raises of$2000 and one paying a starting salary of $36,000 with yearly raises of$3000.

Which job will pay more over the first 3 years? How much more?

Expand the binomial power.

$$(x-y)^7$$

If $10,000 is invested at 6% interest, compounded annually, write a sequence that gives the amount in the account at the end of each of the first 3 years.

Find where $f^{\prime}(x)=0$ if $f^{\prime}(x)=2 x^3+x^2-x$