Answer:
y = -2/3x + 3
Step-by-step explanation:
y = -2/3x + b
5 = -2/3(-3) + b
5 = 2 + b
3 = b
Answer:
$282.59 per share
Step-by-step explanation:
Given that,
Stockholders' equity = $323 million
price/earnings ratio = 14
shares outstanding = 8,800,000
Market/book ratio =7.7
Book Value per share:
= Stockholders' equity ÷ shares outstanding
= $323,000,000 ÷ 8,800,000
= $36.70
Market price per share:
= Book Value per share × Market/book ratio
= $36.70 × 7.7
= $282.59 per share
The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7
Like terms are:
-9x^2, 12x^2
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
The rate of change is 8/6.
