Answer:
288
Step-by-step explanation:
multiply 36 by 8 to find the number of records sold on Wednesday
Answer:
Figure of the function is included below as attachment.
Step-by-step explanation:
Let As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.
x-Intercepts
x-intercepts are those points of the function such that . That is:
In this case, there is a periodicity of π for . The x-intercepts are in the following set:
Maxima
Maxima are those points of the function such that . That is:
In this case, there is a periodicity of 2π for . Maxima are in the following set:
Minima
Minima are those points of the function such that . That is:
In this case, there is a periodicity of 2π for . Minima are in the following set:
Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.
Answer:
$ 50,340.97
Step-by-step explanation:
From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.
The formula to find Principal in a compound interest question is:
P = A / (1 + r/n)^nt
Where:
A = Total Amount obtained after invested = $80,000
r = Interest rate = 3.1% = 0.031
n = number of times interest in compounded = Quarterly = 4
t = time in years = 15
P = $80,000/(1 + 0.031/4)^4 × 15
P = $80,000/(1 +0.00775)^60
P = $ 50,340.97
Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.
The given equation is 4x^2=x^3+2x.
On the left side it has 4x² and on the right side the expression is x³+2x.
So, if we have any system of equations in which we have these two expression which will be equal to any other variable then we can use that system of equations to find the roots.
Now notice that in option D it's given,
y=4x² and y=x³+2x.
So, if we will equate this equations then we will get the same above equation which will be use to find the roots.
So, D is the correct choice.