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.
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.
its totaly b
your welcome btw
i would you but i don't under stand the qustion
step-by-step explanation:
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
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%