400+575+575+670+720+885+1250=5075
5075/7=725
Mean = 725
400, 575, 575, 670, 720, 885, 1250
Median = 670
725>670
C) The Mean is greater than the Median
It is either A or C just incase you needed an answer quickly
Answer:
No, equivalent quarterly rate will be approx 1.75%
Step-by-step explanation:
Given that Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%.
We know that there are 4 quarters in 1 year.
So to find that equivalent quarterly we will divide given yearly rate by number of quarters.
That means divide 7% by 4.
which gives 1.75%.
But that is different than Chan's though of 2% quarterly interest.
Hence Chan is wrong.
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
