From September 20 to January 20, there are 4 months only which is equivalent to 1/3 of a year. The interest earned by the investment, P, made is calculated
I = P x i x n
where I is the interest, P is the principal amount, i is the interest rate, and n is the number of years. Substituting the known values,
I = ($7000)(0.08)(1/3)
I = $186.67
Hence, the answer to this item is $186.67.
0.666667 as a fraction is 2/3
Answer:
The quantitative variables in this case are:
A. Speed
D. GForce
E. Height
G. Duration
H. Numinversions
J. Length
Step-by-step explanation:
One criteria to differentiate qualitative variables from quantitative variables is to determine if mathematical calculations over these variables makes sense.
If it makes sense, it is a quantitative variable.
For example, binary variables, although they can be represented by 0 and 1, would be a qualitative variable.
The quantitative variables in this case are:
A. Speed
D. GForce
E. Height
G. Duration
H. Numinversions
J. Length
They all will be represented by numbers for which mathematical operations make sense.
Answer:
k = 11.
Step-by-step explanation:
y = x^2 - 5x + k
dy/dx = 2x - 5 = the slope of the tangent to the curve
The slope of the normal = -1/(2x - 5)
The line 3y + x =25 is normal to the curve so finding its slope:
3y = 25 - x
y = -1/3 x + 25/3 <------- Slope is -1/3
So at the point of intersection with the curve, if the line is normal to the curve:
-1/3 = -1 / (2x - 5)
2x - 5 = 3 giving x = 4.
Substituting for x in y = x^2 - 5x + k:
When x = 4, y = (4)^2 - 5*4 + k
y = 16 - 20 + k
so y = k - 4.
From the equation y = -1/3 x + 25/3, at x = 4
y = (-1/3)*4 + 25/3 = 21/3 = 7.
So y = k - 4 = 7
k = 7 + 4 = 11.
