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(Interest only loan) A one million 20-years interest-only loan at 12% annual interest rate with monthly payments. Please write down the financial functions (e.g., FV(n, i, PV, PMT)) and answer the following questions. What is the monthly mortgage payment for this loan? What is the monthly interest payment for this loan? What is the mortgage balance at the end of year 3? What is the amortization of the loan for year 1?

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Write a formula for the nth term of the following geometric sequence. $-1, \frac{1}{3}, -\frac{1}{9}, \frac{1}{27}, ...$ Find a formula for the nth term of the geometric sequence. a_n = \boxed{} \cdot \boxed{}^\{n-1}

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Find $g(2v^2)$ for the polynomial $g(x) = -6x^3 - 6x^2 + 1$?

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When do homologous chromosomes separate from one another? During anaphase of Mitosis During anaphase of Meiosis I and anaphase of Meiosis II During anaphase of Meiosis I During anaphase of Mitosis and anaphase of Meiosis II During anaphase of Meiosis II

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Consider the following matrix.\\ $A = \begin{bmatrix} 5 & x \\ -2 & -5 \end{bmatrix}$\\ Find the inverse of the matrix.\\ $A^{-1} = \begin{bmatrix} 5/(25-2) & x/(25-2) \\ -2/(25- & -5/(25- \end{bmatrix}$\\ Find $x$ such that the matrix is equal to its own inverse.\\ $x = $

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Answer the full question please and show your steps so I can understand it. If you don't know how to solve the full question leave it for the person who is expert solving this problem. thank you Practice Problems 1. Use the definition of the Laplace transform to show that if f() = 0 then C[f]=0. Show that if f() = 1 then C[f(x)] Show that if f() = then [fx]=s2 Show that if f() = car then 1 C[f(x)]= Notice that I am giving you the answers. What I want you to do is provide the steps by using the definition and evaluating the integral. It is not enough to just look up the answer on the table

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2. Moments of Inertia Calculate the moments of inertia for the following four objects: a) A thin rod of mass $m$ and length $l$, rotating around the axis which passes through its center and is perpendicular to the rod. b) A thin, solid disk of radius $r$ and mass $m$, rotating around the $z$ axis. c) A solid ball of mass $m$ and radius $R$, rotating around an axis which passes through the center. d) A diatomic molecule, with atoms $m_1$ and $m_2$ at a distance $d$ from each other, rotating around the axis which passes through the molecule's center of mass and is perpendicular to the direction of the molecule. Express the result by $d$ and treat the molecules as point masses.

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Company had the following inventory balances for 2017: January 1 December 31 The following additional information was available for 2017: • Direct materials costing $65,753 were purchased. • Direct labor cost was $21,699. • Overhead of $48,358 was allocated to products. • Selling and administrative costs were $38,161. • Sales were $408,780. What was Cost of Goods Sold for the year?

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Assume that MPC=2e, MSC=10+3e and MPB=30-2e. What is the optimal Pigouvian tax? The tax should be a $14 fixed tax. The tax should be a $14 per unit of emissions. The tax should be a $17.50 per unit of emissions. The tax should be a $17.50 fixed tax.

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Question 1 20 pts Mr. Nice needs to design a circuit that will implement the following mathematical function: $V_o = 2 \cdot V_{in}$. He plans to use the following circuit for his design: R$_1$ $V_{in}$ R$_2$ $V_{cc} = 5V$ R$_3$ $V_{cc} = -5V$ $V_o$ (a) If he plans to choose $R_1 = 10 k\Omega$, what will be the value he should choose for $R_2 = $ (b) If he decided to choose $R_2$ resistor instead of the $R_1$ resistor and he chose: $R_2 = 50 k\Omega$, what will be the value he should choose for $R_1 = $ (c) To make sure that the op-amp will operate in the linear region at all times, Mr. Nice needs to make verify what will be the range for the input voltage $V_{in}$ that will keep the op-amp within the linear region for $V_{cc} = \pm 5V$: $V \le V_{in} \le$ V

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kim u.