Answer:
a. radius = 0.0006m = 0.6mm and length =0.393m = 393mm
b. frequency =377.86Hz
Explanation:
Given:
mass of steel= 4g = 0.004kg
density of steel = 7890kg/m3
tensile stress of steel 7.0x10⁸
tension load =900N
from the density, we will calculate for the Volume of the steel string
density = mass/volume
volume = mass/density = 0.004/7890 = 5.07 x 10⁻⁷ m³
from the tensile stress will can get the maximum base Area of the string ,
tensile stress = load/area =
7x10⁸ = 900/A
A = 900/7x10⁸ = 1.29x10⁻⁶ m²
Area = πr²
area/pi = 4.105x10-7
radius = 0.0006m = 0.6mm
volume = Area x length
length = vol/area =(5.07 x 10⁻⁷ m³)/1.29x10⁻⁶ m² = 0.393m
b. the highest possible frequency is given by:
F = 
where T= tension, m=mass, L=length
F = 
= 297.04/0.786
frequency =377.86Hz
Answer:
The second one
Explanation:
Control through rules and budgets can lead to rigidity and loss of creativity in an organization in a way that it limits change. When all available funds are allocated to specific operational budgets, it may be impossible to procure additional funds, when an opportunity arises elsewhere. Some organizations are therefore working in a way to back their budgeting systems.
In Microsoft window logo, the command which is used to draw visible line that forms an invisible line mode is: A. PD.
Microsoft window logo is a programming language that was designed and developed at the Massachusetts Institute of Technology (MIT) by George Mills, based on the educational programming language called Logo.
Some of the commands that are used on Microsoft window logo include the following:
In Microsoft window logo, the Pendown (PD) command is used to instruct the turtle to draw a visible line or leave ink (tracks) on the screen as it moves. Thus, it is a command which is used to draw visible line while forming an invisible line mode.
Read more on programming language here: brainly.com/question/16901424
Answer:
Price weighted index
Explanation:
A price weighted index is an index used in stocks where each company that is part of the index makes up a fraction of the total, and is proportional to its price per share.
Higher weight is given to sticks that have higher prices.
Rice weighted index is a good way to track track portfolio performance that best match for your portfolio.
Answer:
Net income = $169.2
Growth in dividend = 76.25%
Explanation:
The projected figures are as below:
Sales = $700 x (1 + 15%) = $805 <em>(15% increase in sales)</em>
Operating costs including depreciation = $805 x 60% = $483 <em>(60% of sales)</em>
Interest expense = 40 <em>(remain constant)</em>
EBIT = Sales - Operating costs including depreciation = $805 - $483 = $322
EBT = EBIT - Interest expense = $322 - $40 = $282
Net income = EBT x (1 - Tax rate) = $282 x (1 - 40$) = $169.2
Dividend = Net income x Dividend payout ratio = $169.2 x (32/96) = $56.4
Growth in dividend = $56.4/$32 = 76.25%
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