Form 10-K

(noun)

an annual report required by the U.S. Securities and Exchange Commission (SEC) that gives a comprehensive summary of a company's performance

Related Terms

Examples of Form 10-K in the following topics:

  • The Disclosure Process

    • The process of disclosing financial statements is carried out through what is known as a Form 10-K.
    • The process of disclosing financial statements is carried out through what is known as a Form 10-K.
    • In addition to the 10-K, which is filed annually, a company is also required to file quarterly reports on Form 10-Q.
    • Historically, a Form 10-K had to be filed with the SEC within 90 days after the end of the company's fiscal year.
    • Define and outline the annual report known as a Form 10-K.

  • Matrices for two degrees of freedom

    • $m_1 {\ddot{x}_1} + k_1 x_1 + k_2 (x_1 - x_2) = 0$
    • $m_2 {\ddot{x}_2} + k_3 x_2 + k_2 (x_2 - x_1) = 0. $
    • $\displaystyle{ K = \left[ \begin{array}{cc} k_1 + k_2 & -k_2 \\ -k_2 & k_2+k_3 \\ \end{array} \right] }$
    • $\displaystyle{M^{-1} K = \left[ \begin{array}{cc} \frac{k_1 + k_2}{m_1} & \frac{-k_2}{m_1} \\ \frac{-k_2}{m_2} & \frac{k_2+k_3}{m_2} \end{array} \right]. }$
    • Letting $\omega_0 = \sqrt{k/m}$ as usual and defining $\Omega = \sqrt{k_2/m}$ , we have the following beautiful form for the matrix $M^{-1} K$ :

  • Series Solutions

    • After substituting the power series form, recurrence relations for $A_k$ is obtained, which can be used to reconstruct $f$.
    • $\displaystyle{f= \sum_{k=0}^\infty A_kz^k \ f'= \sum_{k=0}^\infty kA_kz^{k-1} \ f''= \sum_{k=0}^\infty k(k-1)A_kz^{k-2}}$
    • $\begin{aligned} & {} \sum_{k=0}^\infty k(k-1)A_kz^{k-2}-2z \sum_{k=0}^\infty kA_kz^{k-1}+ \sum_{k=0}^\infty A_kz^k=0 \\ & = \sum_{k=0}^\infty k(k-1)A_kz^{k-2}- \sum_{k=0}^\infty 2kA_kz^k+ \sum_{k=0}^\infty A_kz^k \end{aligned}$
    • $\begin{aligned} & = \sum_{k+2=0}^\infty (k+2)((k+2)-1)A_{k+2}z^{(k+2)-2}- \sum_{k=0}^\infty 2kA_kz^k+ \sum_{k=0}^\infty A_kz^k \\ & = \sum_{k=0}^\infty (k+2)(k+1)A_{k+2}z^k- \sum_{k=0}^\infty 2kA_kz^k+ \sum_{k=0}^\infty A_kz^k \\ & = \sum_{k=0}^\infty \left((k+2)(k+1)A_{k+2}+(-2k+1)A_k \right)z^k \end{aligned}$
    • Using power series, a linear differential equation of a general form may be solved.

  • First-Order Reactions

    • A first-order reaction depends on the concentration of one reactant, and the rate law is: $r=-\frac{dA}{dt}=k[A]$ .
    • As usual, k is the rate constant, and must have units of concentration/time; in this case it has units of 1/s.
    • Since there is only one reactant, the rate law for this reaction has the general form:
    • On this second trial, we observe that the rate of decomposition of N2O5 is 7.0×10-4 M/s.
    • The decomposition of hydrogen peroxide to form oxygen and hydrogen is a first-order reaction.

  • Basic Properties of Delta Functions

    • $\displaystyle{\delta(x,y,z) = \left( \frac{1}{2\pi} \right) ^3 \int _{-\infty} ^{\infty} \int _{-\infty} ^{\infty} \int _{-\infty} ^{\infty} e^{i(k_x x + k_y y + k_z z)} ~ dk_x~dk_y~dk_z. }$
    • $\displaystyle{f(x) = \frac{a_0}{2} + \sum _ {k=1} ^ {\infty} a_k \cos(k \pi x/l) + \sum _ {k=1} ^ {\infty} b_k \sin(k \pi x/l) ,}$
    • 4.7 Consider the complex exponential form of the Fourier series of a real function

  • Solubility Product

    • $PbCl_2 \rightleftharpoons Pb^{2+} + 2Cl^- \text{ gives }\ K_{sp} = [Pb^{2+}][Cl^-]^2$
    • At a certain temperature, the solubility of Fe(OH)2 in water is 7.7 x 10-6 mol/L (M).
    • $[OH^-] = 2 \times 7.7 \times 10^{-6} = 1.54 \times 10^{-5} $
    • Solubility products are useful in predicting whether a precipitate will form under specified conditions.
    • The solubility of Fe(OH)2 is 7.7 x 10-6 M, this is equal to the value of the change (x) in the table.

  • Acid-Base Properties of Water

    • Because this is a special equilibrium constant, specific to the self-ionization of water, it is denoted KW; it has a value of 1.0 x 10−14.
    • However, because H+ and OH- are formed in a 1:1 molar ratio, we have:

  • Completing the Square

    • Completing the square is a method for solving quadratic equations, and involves putting the quadratic in the form $0=a(x-h)^2 + k$.
    • The method of completing the square allows for the conversion to the form:
    • The value of $k$ is meant to adjust the function to compensate for the difference between the expanded form of $a(x-h)^2$ and the general quadratic function $ax^2+bx+c$.  
    • The closest perfect square is the square of $5$, which was determined by dividing the $b$ term (in this case $10$) by two and producing the square of the result.
    • Thus, the constant $h$ takes the value $-5$ and the constant $k$ takes the value $-3$.

  • Buffers Containing a Base and Conjugate Acid

    • An alkaline buffer can be made from a mixture of the base and its conjugate acid, but the formulas for determining pH take a different form.
    • ${ log(K }_{ a })+{ log(K }_{ b })=log({ K }_{ w })$
    • ${ pK }_{ a }+{ pK }_{ b }=p{ K }_{ w }=14.00$
    • The Kb for NH3 = 1.8 x 10-5.
    • Two-dimensional image depicting the association of proton (H+) with the weak base ammonia (NH3) to form its conjugate acid, ammonium ion (NH4+).

  • 2-D separation of variables

    • Let's call this constant $c^2 - k_y ^2$ .
    • $\displaystyle{X'' + \left( \frac{\omega^2}{c^2} - k_y ^2 \right) X = 0}$
    • $\displaystyle{\frac{\omega ^ 2}{c^2} = k_x ^2 + k_y ^2 . }$
    • The constants $k_x$ and $k_y$ have the dimensions of reciprocal length.
    • where $\omega$ and $C$ are constants and $k_x = n \pi /L_x$ and $k_y = m \pi /L_y$ where $m$ and $n$ are arbitrary integers.