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Question 7 You want to buy a $238,000 home. You plan to pay 20% as a down payment, and take out a 30 year loan for the rest. a) How much is the loan amount going to be? b) What will your monthly payments be if the interest rate is 5%? c) What will your monthly payments be if the interest rate is 6%? Next Question

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q1) let f(x,y) = x^3+y^2-27x-8y. find all critical points including the z-coordinate, and use the D-test to classify the points as a minimum, maximum or saddle q2) Find the maximum and minimum values of function in question 1 when constrained to the line y=x+4. hint: You will need desmos or a calculator. State your answers as ordered triplets, to (% or 4 ) decimal places.

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Zack is single and has collected the following information for preparing his 2024 taxes: Gross income $74,000, tax credits $2,500, itemized deductions $15,850, deductions for AGI $5,000, tax prepayments $8,400. Based on this information, Zack's "adjusted gross income" equals $Blank______, and his "taxable income" equals $Blank______. Multiple choice question. adjusted gross income = $69,000 and taxable income = $53,150 adjusted gross income = $69,000 and taxable income = $54,400 adjusted gross income = $53,150 and taxable income = $44,750 adjusted gross income = $66,500 and taxable income = $47,650

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The formation of the iron(III) thiocyanate complex ion is an exothermic equilibrium system. For each change to the system, indicate how the concentration of each species in the chemical equation will change to reestablish equilibrium. An up arrow indicates an increase in concentration, a down arrow indicates a decrease in concentration, and leaving it blank means there is no change in the concentration.

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50. A 1% tolerance 1 k? resistor may in reality have a value anywhere in the range of 990 to 1010 ?. Assuming a voltage of 9 V is applied across it, determine (a) the corresponding range of current and (b) the corresponding range of absorbed power. (c) If the resistor is replaced with a 10% tolerance 1 k? resistor, repeat parts (a) and (b).

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6. For the reaction below, balance the equation and determine E°cell at 25°C 2 [Ag(CN)2]¹? (aq) +Si (s) ? Ag (s) + SiO2 (s) + CN? (aq) 3 2 4 Ag reduced, +0.80V Si oxidized, -0.90V E°cell = Ecathode - Eanode +0.80V - (-0.90V) = 1.709V 7. Determine Ecell for the reaction in Question 6 if the temperature is increased to 65°C and the concentrations of each ion in solution are 0.25 M. ?G =

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SHOW ALL WORKING OUT!! The range of f:x->x^(2)+2 for the domain {-2.-1,0,1,2} A. {2,3,6} B. {2,4,6} C. {-2,1,2,3,6} D. {6,4,2,2,4,6} Which quadrant does the measurement 236deg lie? A. First B. Second C. Third D. Fourth All the following solids have at least one edge EXCEPT: A. prism B. sphere C. pyramid D. cone If two parallel lines are cut by a third straight line which of the following statement is FALSE? i. Alternate angles are supplementary ii. Corresponding angles are equal iii. Co-interior angles are supplementary iv. Vertical opposite angles are equal A. i B. ii C. iii D. iv What is the perimeter of a square with length 9cm ? A. 18 B. 36 C. 81 D. 90 Determine the volume of a cuboid with length 12cm, width 5cm and height 8cm ? A. 25cm^(3) B. 50cm^(3) C. 240cm^(3) D. 480cm^(3) 5. A. {2,3,6} B. {2,4,6} C. {-2, 1, 2, 3, 6 } D. {6,4,2,2,4,6} 6. Which quadrant does the measurement 236' lie? A. B. C. D. First Second Third Fourth 7. All the following solids have at least one edge EXCEPT A. prism B. sphere C. pyramid D. cone 8. If two parallel lines are cut by a third straight line which of the following statement is FALSE? i. Alternate angles are supplementary ii. Corresponding angles are equal ii. Co-interior angles are supplementary iv. Vertical opposite angles are equal A. i B. ii C. iii D. iv 9. What is the perimeter of a square with length 9 cm? A. 18 B. 36 C. 81 D. 90 10. Determine the volume of a cuboid with length 12cm, width 5cm and height 8cm? A. 25 cm3 B. 50 cm3 C. 240 cm3 D. 480 cm3

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Calculate the indefinite integral \(\int \frac{3dy}{\sqrt{36 - 25y^2}}\) + C

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Question 20 of 20 Which patient assessment technique would the nurse use to evaluate texture, moisture, swelling, tenderness, and pain? Palpation Inspection Percussion Auscultation Confident Not Sure Question 20 of 20 Which patient assessment technique would the nurse use to evaluate texture, moisture, swelling, tenderness, and pain? Palpation Inspection Percussion Auscultation Confident Not Sure

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Two passive elements are connected in series with each other and with a voltage source whose value is 80 Cos (200$t$) V. The current that flows through the whole circuit is 16 Sin (200$t$+35) A. What are the two elements? a. A 2.87 $\Omega$ resistor and a 20.5 mH inductor. b. A 2.87 $\Omega$ resistor and a 20.5 mF capacitor. c. A 4.1 $\Omega$ resistor and a 2.86 mH inductor. d. A 4.1 $\Omega$ resistor and a 2.86 $\mu$F capacitor.

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