Answer:
D) 7.5%
Step-by-step explanation:
Using dividend growth model,
Price, P = D / (r - g)
where, D = Dividend, r = cost of equity = 10% , and g= growth rate
we know that
=> r - g = D / P = Dividend yield = 2.5%
=> Growth rate, g = 10% - 2.5% = 7.5%
therefore the constant growth rate in dividends is closest to= 7.5%
<u>Answer:</u>
1 and 5 are correct.
<u>Step-by-step explanation:</u>
1. The mean is affected by outliers. - TRUE
(the mean is the average so each of its values affect it.)
2. The mean is always a more accurate measure of center than the median. - FALSE
(the mean gives a better idea of the values while the the central values for normal distributions are described using the median value.)
3. Removing an outlier from a data set will cause the standard deviation to increase. - FALSE
(it makes the data set more normal by reducing the standard deviation, not increasing it. )
4. If the data set’s distribution is skewed, then 95%of its values will fall between two standard deviations of the mean. - FALSE
(the 68-95-99.9 rule works for the normal distribution, but the skewed distribution.)
5. If a data set’s distribution to skewed to the right, its mean will be larger than its median. - TRUE
(the mean is always pulled towards the direction of the skewness.)
Answer:
a) k
= 3.6 N/m ; b) 9.43 * 10¹²; c) 1.18 * 10¹¹; d) 75.08 N/m
Step-by-step explanation:
Length of iron bar = L = 2.7m;
side length of cross section = a = 0.07cm = 0.0007m;
x = 2.7 cm = 0.027m;
m = 100kg;
ρ = 7.87gm/cm³;
da = 2.28 * 10⁻¹⁰m;
a)
Fnet = F - mg
where Fnet = 0
So,
F = mg where F=kx
k = mg/x = 100*9.8/0.027
k = 3.6 N/m
b)
Nchain = Aw/Aa =a²/(da)²
= (o.ooo7)²/(2.28 * 10⁻¹⁰)²
= 9.43 * 10¹²
c)
Nbond = L/da = 2.7/2.28 * 10⁻¹⁰
= 1.18 * 10¹¹
d)
Spring stiffness of wire = ksi = (Nbondk)/Nchain
= [(1.18* 10¹¹)(6*10⁴)]/(9.43 * 10¹²)
= 75.08 N/m
Multiply 3 by both sides answer x=27/16 or in decimal 1.6875
Answer:
The inverse is 5x-6
Step-by-step explanation:
To find the inverse of a function
y = ( x+6) /5
Exchange x and y
x = ( y+6)/5
Solve for y
Multiply each side by 5
5x = (y+6)/5 *5
5x = y+6
Subtract 6 from each side
5x-6 = y+6-6
5x-6 =y
The inverse is 5x-6
