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alejandro daniels

alejandro d.

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5) (1 point) An individual has $2000 and she spends it on wine and "other goods" (OG). When the price of wine is $3/bottle, she decides to consume 200 bottles of wine. a) Calculate the amount of OG she consumes. b) Suppose the price of wine increases to $4/bottle ($1 more than before) and her income goes up by $200 (=200×$1) Using a well-labelled diagram to explain whether she is better off or worse off.

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c) Solve \( f^{-1}(x)=g^{-1}(x) \) Page 8

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Given the differential equation y'' + 6y' + 9y = 0, y(0) = 1, y'(0) = -1 Apply the Laplace Transform and solve for Y(s) = L{y} Y(s) = Now solve the IVP by using the inverse Laplace Transform y(t) = L?¹{Y(s)} y(t) =

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Texts: Keller Technology produces specialized machinery customized to their clients' needs. Barings Systems had ordered a custom machine five months ago and paid a 5% deposit on the $275,000 machine. The cost of producing the machine for Barings is as follows: Direct materials: $63,400 Direct labor: $57,600 Manufacturing overhead applied: $28,800 Variable manufacturing costs: $43,200 Fixed selling and administrative costs: $16,420 Total: $209,420 The allocation rates for the manufacturing overhead and fixed selling and administrative costs are: Variable: 50% of direct labor costs Fixed: 25% of direct labor costs Fixed selling and administrative costs: 10% of the total of direct material, direct labor, and manufacturing overhead costs Just as Keller completed producing the machine, Barings went into receivership. As Barings was unable to pay for the machine, the deposit paid to Keller was forfeited. Keller is now considering the options available to them with regards to the machine that Barings had ordered. The production manager has identified three options for Keller. The sales commission rate on sales is 3 percent. REQUIRED: Option A: Pegasus Engineering is willing to buy the Barings machine if it can be reworked to Pegasus' specifications. The reworked machine will be sold to Pegasus as a special order for $231,900. The additional identifiable costs to rework the machine to Pegasus' requirements are as follows: Direct materials: $19,400 Direct labor: $13,200 Total: $32,600 Option B: It is possible to convert the Barings machine into a standard machine that Keller can normally sell for $199,375. However, as this is a conversion of a custom machine, a 4% discount will be offered to attract a buyer. In order to complete the conversion, Keller will need to incur the following costs: Direct materials: $7,880 Direct labor: $9,400 Total: $17,280 Option C: Keller will sell the machine in its current completed state for $185,000. OHDD: 4 73%

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Q3) A hydrocarbon fuel is burnt with excess air. The Orsat analysis of the flue gas shows 10.2% $CO_2$, 1.0% CO, 8.4% $O_2$, and 80.4% $N_2$. What is the atomic ratio of H to C in the fuel?

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Page 10 10. WRITE A COMPLETE FUNCTION (10') Write a function named "reverse" that takes as its arguments (parameter) the following: (1) an array of floating-point values; (2) an integer that tells how many floating-point values are in the array. The function must reverse the order of the values in the array. Thus, for example, if the array that's passed to the function looks like this: 0 1 2 3 4 5.8 2.6 9.0 3.4 7.1 then when the function returns, the array will have been modified so that it looks like this: 0 1 2 3 4 7.1 3.4 9.0 2.6 5.8 The function should not return any value. (It is ok to write additional auxiliary functions to help get the task done)

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#3. Below are the prices (per $100 of face value) of a series of zero-coupon risk-free debts that differ only in the time to maturity, from the end of the first to the end of the 10th period. \begin{bmatrix} 97.04\\ 93.24\\ 89.36\\ 85.40\\ 80.85\\ 76.35\\ 71.73\\ 68.38\\ 65.19\\ 62.15 \end{bmatrix} $P :=$ Calculate the continuously compounded yield per period on each those instruments. Plot this term structure. Calculate the series of one-period forward rates from this term structure. Under the pure-expectations model to what do these forward rates correspond?

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Write the integral as a sum of integrals without absolute values and then evaluate. $I = \int_0^2 |x^2 - 4| dx$ (Use symbolic notation and fractions where needed.) $I = \frac{5}{3}$

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look at the class defined in queue.h and create the corresponding implementation in queue.cpp . You may not change any of the existing declarations but you may add more functions as you deem necesarry. queu.h ---------- #ifndef Q_H #define Q_H // include this library to use NULL, otherwise use nullptr instead #include <cstddef> #include <iostream> /* Struct which will be the building block of our list */ struct node{ int val; node* next; }; /* Linked list class definition */ class QUEUE{ public: QUEUE(); void enq(int); bool deq(); bool isEmpty(); node* getFront(); void printq(); private: node* front; node* back; }; #endif

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Dr. Simon invests $80,000 in a piece of land that is expected to increase in value by 14 percent per year for the next five years. She will then take the proceeds and provide herself with a 10-year annuity. Assuming a 14 percent interest rate for the annuity, how much will this annuity be? PLEASE show all step by step calculations. Thanks.

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