Answer: Option 'E' is correct.
Step-by-step explanation:
Marginal utility is the addition utility derived from each successive unit of a particular good.
so, marginal utility is the change in utility from consuming an addition unit of a good or service.
Mathematically, it is expressed as

Hence, Option 'E' is correct.
In the parallelogram ABCD, join BD.
Consider the triangle Δ ABD.
It is given that AB > AD.
Since, in a triangle, angle opposite to longer side is larger, we have,
∠ ADB > ∠ ABD. --- (1)
Also, AB || DC and BD is a transversal.
Therefore,
∠ ABD = ∠ BDC
Substitute in (1), we get,
∠ ADB > ∠ BDC.
Answer:
Right Angles: C, F
Obtuse Angles: E, B
Acute Angles: A, D
Step-by-step explanation:
Right Angles are angles that are exactly 90 degrees.
Obtuse Angles are angles that are bigger than 90 degrees.
Acute Angles are angles that are smaller than 90 degrees.
Answer: 233 people per thousand
Step-by-step explanation:
Using extrapolation method,
if 150/k in 1950,
200/k in 1990,
275/k in 2020,
2003 lies in between 1990 and 2020. So, you extrapolate the values of 200/k and 275/k for the years respectively.
Therefore,
(2003 - 1990)/(2020 - 2003) = (x - 200)/(275 - x)
Where x is the number of retirees per thousand for 2003
Making x the subject of relation in the above equation.
Cross multiply the equation above;
(2003 - 1990)(275-x) = (2020 - 2003)(x - 200)
13(275 - x) = 17(x-200)
3575 - 13x = 17x - 3400
Collect the like terms
3575+3400 = 17x + 13x
30x = 6975
x = 6975/30
x = 232.5
x = 233 people per thousand to the nearest integer
7,000 ft
area of triangle formula=1/2*base*height