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Some college students decide to form a secret society that would meet each year after graduation at a time when the day and night were the same length. Which of the following would be a time they could meet? Group of answer choices September 23 they can meet at any of these times; day and night are always roughly the same length June 22 January 1 December 22

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Find the future values of these ordinary annuities. Compounding occurs once a year. Do not round intermediate calculations. Round your answers to the nearest cent. $1,000 per year for 16 years at 14%. $ $500 per year for 8 years at 7%. $ $900 per year for 8 years at 0%. $ Rework parts a, b, and c assuming they are annuities due. Future value of $1,000 per year for 16 years at 14%: $ Future value of $500 per year for 8 years at 7%: $ Future value of $900 per year for 8 years at 0%: $

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R is the region bounded by the functions f ( x ) = 4 sin ( x ) + 1 and g ( x ) = 8 x pi + 1 . Find the area of the region bounded by the functions on the interval [ 0 , pi 2 ] .

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The text provided does not contain any spelling, typographical, grammatical, OCR, or mathematical errors.

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b (i) What is the elongation of the spring? a b

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(1) In $\mathbb{R}^4$, let $V = \left\{ \begin{pmatrix} x \\ y \\ x - y \\ 0 \end{pmatrix} : x, y \in \mathbb{R} \right\}$. (a) (4 points) Show that V is a subspace of $\mathbb{R}^4$. (b) (2 points) Find two linearly independent vectors in V. (c) (1 points) Find a basis of V.

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Question 3 (3 marks) Copper Industries has the following transactions related to notes receivables in November 2020: 01- Nov Borrowed Arthur James \$60,000 cash on a 1-year, 5\% note. Interest is due the first of each month commencing December 1. 15- Nov Sold goods to J. Mardock, receiving a \$9,000, 4-month, 4\% note. Interest is due the 15 of each month, commencing December 15. The merchandise cost \$6,000 and the company uses perpetual inventory system. 30- Nov Accrued interest income on the notes receivable (Nov 1 and Nov 15). Show your calculations.

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24) 1) O? 2) (CH?)?S 25) Treatment of cyclopentene with peroxybenzoic acid A) results in oxidative cleavage of the ring to produce an acyclic compound B) yields a meso epoxide C) yields an equimolar mixture of enantiomeric epoxides D) gives the same product as treatment of cyclopentene with OsO? E) none of the above 26) Provide a detailed, step-by-step mechanism for the reaction shown below. HO Br? + HBr 27) Provide a detailed, step-by-step mechanism for the reaction shown below. O H?O? HO 28) Provide the reagents necessary to complete the following transformation. The synthesis may involve more than one step. Br OH ? OH 29) Provide the reagents necessary to complete the following transformation. The synthesis may involve more than one step. Br ? OH + enantiomer OH 30) Provide the reagents necessary to convert 3-methyl-2-butanol to 2-methyl-2-butanol. The synthesis may involve more than one step. 31) Both \textit{(E)}- and \textit{(Z)}-hex-3-ene are subjected to a hydroboration-oxidation sequence. How are the products from these two reactions related to each other? A) The \textit{(E)}- and \textit{(Z)}-isomers generate the same products but in differing amounts. B) The \textit{(E)}- and \textit{(Z)}-isomers generate the same products in exactly the same amounts. C) The products of the two isomers are related as constitutional isomers. D) The products of the two isomers are related as diastereomers. E) The products of the two isomers are not structurally related.

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1. Given: $g_{mo} = 4000µS$, $V_{GS}=-3V$ and $V_{GS(off)} = -9V$, What is $g_m$? 2. In the Data sheet of JFET, $I_{DSS} = 12mA$, $V_{GS} = 0$, $V_{GS(off)} = -8V$, $V_{DD} = 20V$,What will be the $I_D$ for values of $V_{DS}$ above pinch off? 3. An n-channel JFET is biased on $V_{GS} = -3V$, and $V_p = 8V$ what will be its $V_{GS(off)}$? 4. A JFET has an $I_{GSS} = -0.05µA$ and $V_{GS} = -24V$. Determine the input Resistance. 5. A JFET biased at $V_{GS}=-4V$, $V_{GS(off)}=-8V$, $g_m=3000µS$ at $V_{GS}=0V$. Determine the forward transconductance and forward transfer conductance.

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A magnetic field is directed outward perpendicular to the plane of a circular coil of radius 50 cm. The magnetic field decays exponentially according to the equation B = 1.5e^(-5t), where B is in tesla and t is in seconds. Calculate the electric field induced in the coil when 1 s has elapsed.

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michelle k.