How do we calculate the issue price of bonds? Is it equal to the present value of the principal? Explain.

Find the interest and future value on a principal of $9,750 invested at 10% compounded quarterly for 6 years.

Find the missing value.

Principal       Rate      Time         Simple Interest 
_________       14 %      2 Years      $385   

Find the missing value.

Principal       Rate      Time         Simple Interest 
_________       3%        5 Years      $63.75    

For a three-slit interference pattern, find the ratio of the peak intensities of a secondary maximum to a principal maximum.

Find the missing value.

Principal       Rate      Time       Simple Interest 
$16,000         ____      3 years$1,920      

Write the three principal parts of each verb—present participle, past, and past participle.
complete_____

Principal: $400 , Annual interest rate: 6 percent. What is the interest after 3 months?

Find the principal P that will generate the given future value A. A = $10.000 at 8% compounded quarterly for 10 years

Let A be an n × n symmetric negative definite matrix. Show that the determinants of the leading principal submatrices of A alternate in sign.

A patch $\mathbf{x}$ in M is orthogonal provided F = 0 (so $\mathbf{x}_{u} \text { and } \mathbf{x}_{v}$ are orthogonal at each point). Show that in this case

$$\begin{aligned} &S\left(\mathbf{x}_{u}\right)=\frac{\mathbf{L}}{E} \mathbf{x}_{u}+\frac{M}{G} \mathbf{x}_{v}\\ &S\left(\mathbf{x}_{v}\right)=\frac{M}{E} \mathbf{x}_{u}+\frac{N}{G} \mathbf{x}_{v} \end{aligned}$$

(b) A patch $\mathbf{x}$ in M is principal provided F = M = 0. Prove that $\mathbf{x}_{u} \text { and } \mathbf{x}_{v}$ are principal vectors at each point, with corresponding principal curvatures L/E and N/G.

How many electrons are in the third principal energy level (n = 3) of one atom of $\ce{Fe}$?

For the following exercises, find the principal square root. $4 \sqrt{3}+6 \sqrt{3}$

Principal: $1,500 , Annual interest rate: 2.5 percent . What is the interest after 6 months?