I NEED IT ASAPPPP ! The students in Sam’s school voted for their favorite subject. Sam displayed the results in the cirlce graph
2 answers:
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Answer:
To identify the critical point, we set the derivative equal to zero, resulting in:
Calculating the second derivative yields:
This indicates that t = 3.4375 marks the minimum value for the function. Substituting this back into the original function gives us:
Thus, the minimum annual income is found at t = 3.43 (between the years 2008 and 2009), with a value of 25.094
Step-by-step explanation:
In this scenario, we have the function:
Where P represents the annual net income from 2007-2011, and
t is the number of years since early 2005
To discover the lowest income, we utilize the derivative given by:
Setting this derivative to zero allows us to find the critical point, leading to:
Calculating the second derivative reveals:
Therefore, we conclude that t = 3.4375 is the minimum value, substituting into the original function results in:
Thus, the minimum annual income occurs at t = 3.43 (between 2008 and 2009) with the value being 25.094
The original price stands at $450.
Step-by-step explanation:
Step 1:
Given information, Discount%, D% = 30 and Selling Price, SP = $315
Step 2:
Formulate the equation for determining the Original Price
Selling Price (SP) = Original Price (OP) - Discount (D)
Discount (D) = Original Price (OP) * (D%/100)
Step 3:
Plug in the known values into the formula
315 = OP - D
D =
D = 0.3 OP
Step 4:
Insert the value of D back into the initial equation
315 = OP - 0.3 OP
315 = OP (1 - 0.3) = 0.7 OP
A resulting Original Price of OP = 315/0.7 = $450