Comments (4) on “A line passes through point (4, -2) and has a slope of 5/2.write and equation in Ax+By=C for for this line.use integers for A, B, and C.”

  3. a. geometricb. g[h] = (3/4)·g[h-1]; g[1] = 384c. g[h] = 384·(3/4)^(h-1)d. g[12] ≈ 16.2183 gallonse. g[12] ≈ 64.8732 quarts

    step-by-step explanation:

    part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

    part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

    g[h] = (3/4)·g[h-1]

    g[1] = 384 . . . . initial value required for a recursive definition

    part c. the general formula for a geometric sequence is

    a[n] = a[1]·r^(n-1)

    we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

    g[h] = 384·(3/4)^(h-1)

    part d. filling in the value and doing the arithmetic, we have

    g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

    part e. each gallon is 4 quarts, so

    16.2183 gal × 4 qt/gal = 64.8732 qt

    Reply

  4. required rate of return = 0.166 = 16.6%

    step-by-step explanation:

    under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

    required rate of return = risk-free rate + beta*(market risk premium)

    we are given that;

    risk-free rate = 4% = 0.04

    beta = 1.4

    market risk premium = 9% = 0.09

    we simply plug these values into the above formula;

    required rate of return = 0.04 + 1.4*(0.09)

    required rate of return = 0.04 + 0.126

    required rate of return = 0.166 = 16.6%

    Reply

Leave a Reply

Your email address will not be published.