Answer: 
Step-by-step explanation:
The period is 
.
We know that
[scale factor] is equal to the ratio <span>between the lengths of their edges
so
scale factor=2/5
volume smaller cylinder/volume larger cylinder=[scale factor]</span>³
volume smaller cylinder/volume larger cylinder=[2/5]³---> 8/125
the answer is
8/125
Answer:
x=-2/3, x=1
Step-by-step explanation:
Quadratic equations, Eh?
So let's Solve!
Sorry if you don't know quad. formula!
Anyways, Hope this Helps!
See Ya!
P.S. Stay Safe!
The plant's height after 34 months will be 89cm if the plant is already 55 centimeters tall.
<h3>What is meant by height?</h3>
Height is defined in mathematics as the vertical distance from the object's top to its base. It is occasionally referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.
Height and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height refers to something measured vertically, whether it be high or low.
Given, the relation between the height and the months is:
H(m)=55+m
Now, we have to find the height of the plant after 34 months.
So, we substitute m=34 in the expression to obtain height,
H(m)=55+m
H(34)=55+34
H(34)=89cm
Hence the height will be 89cm
To know more about height, visit:
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Answer:
Value of Henley Inc.'s share is $16.76
Step-by-step explanation:
The present value of the dividends over for the three years and the terminal value of the dividends would give us a fair share price that an investor would pay
Year 1 PV of dividends=$1.10/(1+11%)^1=$0.99
Year 2 PV of dividends=$1.10/(1+11%)^2=$0.89
Year 3 PV of dividends=$1.10/(1+11%)^3=$0.80
The terminal value formula=dividend*(1+g)/(r-g)
g is the dividend growth rate of 5%
r is the investor's required rate of return which is 11%
terminal value=$1.10*(1+5%)/(11%-5%)=$19.25
The terminal is discounted to present value using the discount factor of year 3
PV of terminal value =$19.25
/(1+11%)^3=$ 14.08
Total present values=$0.99+$0.89+$0.80+$14.08 =$16.76
