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financial accounting information for decisions
Questions and Answers of
Financial Accounting Information For Decisions
F(x) = e2x for x ∈ R. g(x) = ln(2x + 1) for x > - ½a. Find fg(x).b. Solve f(x) = 8g-1(x).
The area, A cm2, of a patch of mould is measured daily.The area, n days after the measurements started, is given by the formulaA = A0bn.When n = 2, A = 1.8 and when n = 3, A = 2.4.a. Find the value
Solve the equation 32x = 1000, giving your answer to 2 decimal places.
Given that u = log5 x, find, in simplest form in terms of u.a. xb. log5 (x/25)c. log5 (5√x)d. log5 (x√x / 125).
Solve the simultaneous equations.a. xy = 64logx y = 2b. 2x = 4y2lg y = lg x + lg 5c. log4(x + y) = 2 log4 xlog4 y = log4 3 + log4 xd. xy = 6402 log10 x – log10 y = 2e. log10 a = 2 log10 blog10
Solve, giving your answers correct to 3 sf.a. 22x + 2x+1 – 15 = 0b. 62x – 6x+1 + 7 = 0c. 32x – 2(3x+1) + 8 = 0d. 42x+1 = 17 (4x) - 15
a. Express log4 x in terms of log2 x.b. Using your answer of part a, and the substitution u = log2 x, solve the equation log4 x + log2 x = 12.
Solve, giving your answers correct to 3 sf.a. ln x = 3b. ln x = - 2c. ln (c + 1) = 7d. ln (2x – 5) = 3
Express lg a + 3lg b – 3 as a single logarithm.
Given that log4 p = x and log4 q = y, express in terms of x and/ or ya. log4 (4p)b. log4 (16/p)c. log4p + log4 q2d. pq.
a. Show that lg(x2 y) = 18 can be written as 2 lg x + lg y = 18.b. lg(x2 y) = 18 and lg (x/y3) = 2.Find the value of lg x and lg y.
Solve.a. log2 x + 5 log4 x = 14b. log3 x + 2 log9 x = 4c. 5 log2 x – log4 x = 3d. 4 log3 x = log9 x + 2
Solve, giving your answers correct to 3 sf.a. 4x – 3(2x) – 10 = 0b. 16x + 2(4x) – 25 = 0c. 9x – 2(3x+1) + 8 = 0d. 25x + 20 = 12(5x)
Solve, giving your answers correct to 3 sf.a. ln x3 + ln x = 5b. e3x+4 = 2ex- 1c. ln(x + 5) – ln x = 3
Using the substitution u = 5x, or otherwise, solve52x+1 = 7 (5x) – 2.
Given that loga x = 5 and loga y = 8, finda. loga (1/y)b. loga (√x/y)c. loga (xy)d. loga (x2y3).
a. Express logx 3 in terms of a logarithm to base 3.b. Using your answer of part a, and the substitution u = log3 x, solve the equation log3 x = 3 – 2logx 3.
32x+1 × 5x-1 = 27x × 52xFind the value ofa. 15xb. x.
Solve, giving your answers in exact form.a. ln(x – 3) = 2b. e2x-1 = 7c. e2x – 4ex = 0d. ex = 2e-xe. e2x – 9ex + 20 = 0f. ex + 6e-x = 5
The temperature, T° Celsius, of an object, t minutes after it is removed from a heat source, is given byT = 55 e-0.1t + 15.a. Find the temperature of the object at the instant it is removed from the
Given that loga x = 12 and loga y = 4, find the value ofa. loga (x/y)b. loga (x2/y)c. loga (x√y)d. loga (y/3√x).
Solve.a. log3 x = 9 logx 3b. log5 x + logx 5 = 2c. log4 x – 4 logx 4 + 4 = 0d. log4 x + 6 logx 4 – 5 = 0e. log2 x – 9 logx 2 = 8f. log5 y = 4 – 4 logy 5
Solve the equations, giving your answers correct to 3 significant figures.a. |3x + 2| = |3x – 10|b. |2x+1 + 3| = |2x + 10|c. 32|x| = 5(3|x|) + 24d. 4|x| = 5(2|x|) + 14
Solve, giving your answers correct to 3 sf.a. e2x – 2ex – 24 = 0b. e2x – 5ex + 4 = 0c. ex + 2e-x = 80
a. Write log27 x as a logarithm to base 3.b. Given that loga y = 3(loga 15 – loga 3) + 1, express y in terms of a.
a. Express log4 x in terms of log2 x.b. Express log8 y in terms of log2 y.c. Hence solve, the simultaneous equations6 log4 x + 3 log8 y = 16log2 x – 2 log4 y = 4
Solve the inequality |2x+1 – 1| < 2x – 8| giving your answer in exact form.
Solve the simultaneous equations, giving your answers in exact form.a. ln x = 2 ln yln y – ln x = 1b. e5x-y = 3e3xe2x = 5ex+y
Do not use a calculator in this question.i. Find the value of – logP P2.ii. Find lg(1/10n).iii. Show that lg20-lg4/log5 10 = (lg y)2, where y is a constant to be found.iv. Solve logt 2x + logt 3x =
Solve the simultaneous equations2 log3 y = log5 125 + log3 x2y = 4x.
Solve 5 ln(7 – e2x) = 3, giving your answer correct to 3 significant figures.
a. i. Sketch the graph of y = ex – 5, showing the exact coordinates of any points where the graph meets the coordinate axes.ii. Find the range of values of k for which the equation ex – 5 = k has
Solve ex – xe5x-1 = 0.
a. Solve the following equations to find P and q.8q-1 × 22P+1 = 479P-4 × 3q = 81b. Solve the equation lg(3x – 2) + lg(x + 1) = 2 – lg 2.
Solve 5x2 – x2 e2x + 2e2x = 10 giving your answers in exact form.
Find the real values of x satisfying the following equations.a. x4 – 5x2 + 4 = 0b. x4 + x2 – 6 = 0c. x4 – 20x2 + 64 = 0d. x4 + 2x2 – 8 = 0e. x4 – 4x2 – 21 = 0f. 2x4 – 17x2 – 9 = 0g.
Solve the equation |2x – 3| = |3x – 5|.
Solve.a. |2x – 1| = |x|b. |x + 5| = |x – 4|c. |2x – 3| = |4 – x|d. |5x + 1| = |1 – 3x|e. |1 -4x| = |2 - x|f.g.|3x - 2| = |2x + 5|h. |2x - 1| = 2|3 - x|i. =|3x+2| 2|
The graphs of y = |x – 2| and y = |2x – 10| are shown on the grid.Write down the set of values of x that satisfy the inequality |x – 2|> |2x – 10|. 8- 7- y = Ix -2| 6- 5- 4- y 12x-10| !!
Find the coordinates of the points A, B and C where the curve intercepts the x-axis and the point D where the curve intercepts the positive y-axis. y = (x- 2) (x + 1)(x-3) D A B
The diagram shows part of the graph of y = x(x – 2) (x + 1).Use the graph to solve each of the following inequalities.a. x(x – 2) (x + 1) ≤ 0,b. x(x – 2) (x + 1) ≥ 1,c. x(x – 2) (x + 1)
Use the quadratic formula to solve these equations.Write your answers correct to 3 significant figures.a. x4 – 8x2 + 1 = 0b. x4 – 5x2 – 2 = 0c. 2x4 + x2 – 5 = 0d. 2x6 – 3x3 – 8 = 0e. 3x6
Solve the inequality |2x – 1| > 7.
Solve the simultaneous equations y = |x – 5| and y = |8 – x|.
a. On the same axes sketch the graphs of y = |3x – 6| and y = |4 – x|.b. Solve the inequality |3x – 6| ≥ |4 – x|.
Sketch each of these curves and indicate clearly the axis intercepts.a. y = (x – 2) (x – 4) (x + 3)b. y = (x + 2) (x + 1) (3 – x)c. y = (2x + 1) (x + 2) (x -2)d. y = (3 – 2x) (x – 1) (x + 1)
The diagram shows part of the graph of y = (x + 1)2 (2 - x).Use the graph to solve each of the following inequalities.a. (x + 1)2 (2 - x) ≥ 0,b. (x + 1)2 (2 - x) ≤ 4,c. (x + 1)2 (2 - x) ≤ 3. yt
Solve.a.b.c.d.e. 8x - 18√x + 9 = 0f. 6x + 11√x – 35 = 0g. 2x + 4 = 9√xh.i. x-7Vx+10=0
Solve the inequality |7 – 5x| < 3.
Solve the equation 6|x + 2|2 + 7|x + 2| - 3 = 0.
Solve.a. |2x – 3| > 5b. |4 – 5x| ≤ 9c. |8 – 3x| < 2d. |2x – 7| > 3e. |3x + 1| > 8f. |5 – 2x| ≤ 7
Find the coordinates of the point A and the point B, where A is the point where the curve intercepts the positive x-axis and B is the point where the curve intercepts the positive y-axis. y = 2(x+ 1)
The diagram shows part of the graph of y = (1 – x) (x – 2) (x + 1)Use the graph to solve each of the following inequalities.a. (1 – x) (x – 2) (x + 1) ≤ - 3.b. (1 – x) (x – 2) (x + 1)
Solve the equation 2x2/3 – 7x1/3 + 6 = 0.
Solve the inequality |x| > |3x – 2|.
a. Solve the equation x2 – 6|x| + 8 = 0.b. Use graphing software to draw the graph of f(x) = x2 – 6|x| + 8.c. Use your graph in part b to find the range of the function f.
a. Solve |2x – 3| ≤ x – 1b. |5 + x| > 7 – 2xc. |x – 2| - 3x ≤ 1
Sketch each of these curves and indicate clearly the axis intercepts.a. y = x2(x + 2)b. y = x2(5 – 2x)c. y = (x +1)2 (x-2)d. y = (x – 2)2 (10 – 3x)
The curve y = √x and the line 5y = x + 4 intersect at the points P and Q.a. Write down an equation satisfied by the x-coordinates of P and Q.b. Solve your equation in part a and hence find the
Solve the inequality |x – 1| ≤ |x + 2|.
Solve the equation |x + 1| + |2x – 3| = 8.
Solve.a. |2x – 1| ≤ |3x|b. |x + 1| > |x|c. |x| > |3x – 2|d. |4x + 3| > |x|e. |x + 3| ≥ |2x|f. |2x| < |x – 3|
Sketch each of these curves and indicate clearly the axis intercepts.a. y = |(x + 1) (x – 2) (x – 3)|b. y = |2(5 – 2x) (x + 1) (x + 2)|c. y = |x(9 – x2)|d. y = |3(x – 1)2 (x + 1)|
Solve.a. 22x – 6(2x) + 8 = 0b. 32x – 10(3x) + 9 = 0c. 2(22x) – 9 (2x) + 4 = 0d. 32x+1 – 28(3x) + 9 = 0e. 22x+2 – 33(2x) + 8 = 0f. 32x+2 + 3(3x) – 2 = 0
Solve the inequality |x + 2| < |1/2x – 1|.
Solve the simultaneous equation y = |x – 5| and y = |3 – 2x| + 2.
Solve.a. |x + 1| > |x – 4|b. |x – 2| ≥ |x + 5|c. |x + 1| ≤ |3x + 5|d. |2x + 3| ≤ |x – 3|e. |x + 2| < |1/2x – 5|f. |3x – 2| ≥ |x + 4|
Factorise each of these functions and then sketch the graph of each function indicating clearly the axi intercepts.a. y = 9x – x3b. y = x3 + 4x2 + x – 6c. y = 2x3 + x2 – 25x + 12d. y = 2x3 +
Solve the inequality |x + 3k| < 4|x – k| where k is a positive constant.
The diagram shows the graph of y = k(x – a)2 (x – b).Find the values of a, b and k. -i 2.
Sketch the graph of y = 2(2x – 1) (x – 3) (x + 1), showing clearly the points at which the curve meets the coordinate axes.
Solve |3x + 2| + |3X – 2| ≤ 8.
The diagram shows the graph of y = |k(x – a) (x – b) (x – c)| where a < b < c.Find the values of a, b, c and k. 8- 4- -2-
The diagram shows part of the graph of y = 2(x + 1) (x – 1) (2 – x).Use the graph to solve the inequality (x +1) (x – 1) (2 – x) > - 1. 2- y =2 (x+ 1) (x- 1) (2 - x) -1 -3 -1
a. Sketch the graph of y = (x – 4) (x – 1) (x + 2), showing clearly the points at which, the curve meets the coordinate axes.b. Hence sketch the curve y = |(x – 4) (x – 1) (x + 2)|.
a. Factorise completely x3 + x2 - 6x.b. Hence sketch the curve with equation y = x3 + x2 – 6x, showing clearly the points at which, the curve meets the coordinate axes.
a. On the same axes sketches the graphs of y = (x – 3) (x + 1)2 and y = 6/x, showing clearly the points at which, the curves meet the coordinate axes.b. Hence state the number of real roots of the
a. Factorise completely 2x3 + x2 – 25x + 12.b. Hence sketch the curve with equation y = 2x3 – x2 – 25x + 12, showing clearly the points at which, the curve meets the coordinate axes.
a. On the same axes sketch the graphs of y = x2(6 -x) and y = 4x(4 – x), showing the points at which the curves meet the coordinate axes.b. Use algebra to find the coordinates of the points where
F(x) = 2x and g(x) = 4x2 + 7x. Solve gf(x) = 2.
Solve the inequality |x + 2k| > |x – k| where k is a positive constant.
Solve the equation 2|3x + 4y – 2| + 3√25 – 5x + 2y = 0.
Solve.a. 2|x – 3| > |3x + 1|b. 3|x – 1| < |2x + 1|c. |2x – 5 ≤ 3|2x + 1|
a. On the same axes sketch the graphs of y = x(x – 5) (x – 7) and y = x(7 – x), showing clearly the points at which the curves meet the coordinate axes.b. Use algebra to find the coordinates of
F(x) = x3 – 2 and g(x) = x2 – 5x. Solve gf(x) = 6.
a. Solve the equation |x – 13| = 14.b. Hence solve the equation |y3 – 13| = 14.
Solve the inequality |x + 2k| ≥ |x – 3k| where k is a positive constant.
a. On the same axes sketch the graphs of y = (2x – 1) (x + 2) (x + 1) and y = (x + 1) ( 4 – x), showing clearly the points at which the curves meet the coordinate axes.b. Use algebra to find the
F(x) = x2 + 3x and g(x) = x2 – 4x. Solve gf(x) = 0.
Sketch the graph of y = x(3 – 2x) (x – 4), showing clearly the points at which the curve meets the coordinate axes.
Use Apple’s financial statements in Appendix A to answer the following. 1. Using fiscal 2016 as the base year, compute trend percents for fiscal years 2016, 2017, and 2018 for net sales, cost
On January 1, MM Co. borrows $340,000 cash from a bank and in return signs an 8% installment note for five annual payments of $85,155 each.1. Prepare the journal entry to record issuance of the
Refer to the information in Exercise 12-12. Using the direct method, prepare the statement of cash flows for the year ended June 30, 2020. Hint: Prepaid Expenses and Wages Payable relate to Operating
Revo Co. reports average total assets of $200,000, revenue of $90,000, net income of $30,000, and cash flow from operations of $38,000.1. Compute its cash flow on total assets.2. Is Revo’s cash
The following Cash T-account shows the total debits and total credits to the Cash account of Thomas Corporation for the current year.1. Prepare a complete statement of cash flows for the current year
Bioware Co. reports cost of goods sold of $42,000. Its comparative balance sheet shows that inventory decreased $7,000 and accounts payable increased $5,000. Compute cash payments to suppliers using
Refer to the data in QS 12-7.1. How much cash is received from sales to customers for year 2020?2. What is the net increase or decrease in the Cash account for year 2020?QS 12-7. CRUZ, INC.
Refer to the data in QS 12-7.1. How much cash is paid to acquire inventory during year 2020?2. How much cash is paid for operating expenses (excluding depreciation) during year 2020? QS 12-7.
Refer to the data in QS 12-7.Use the direct method to prepare the operating activities section of Cruz’s statement of cash flows.QS 12-7. CRUZ, INC. Comparative Balance Sheets At December 31 2020
Identify whether each of the following items are included as part of general-purpose financial statements. a. Income statement b. Balance sheetc. Shareholders’ meetings d. Financial
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