Write an inequality equation equivalent to 3x – 4y = 8?
1 answer:
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Answer:
V'(4) = 48 mm³/mm
V'(4) means that the rate of change of volume with respect to side when the length of the side is 4 mm
Step-by-step explanation:
Data provided in the question
V is the volume of the cube with x as its sides
Also,
Volume of cube = side³
thus,
V = x³ mm³
Now,
Derivative of volume with respect to side x,
=
or
= V'(x) = 3x²
now,
at x = 4 mm
V'(4) = 3(4)²
or
V'(4) = 48 mm³/mm
Here, V'(4) means that the rate of change of volume with respect to side when the length of the side is 4 mm
Answer:
(a) Amount owed after 2 years is $ 1081.54
(b) The shark's vig is $ 1031.54
Step-by-step explanation:
(a)
The amount on a principal, <em>P</em>, after a period, <em>T</em>, at a compound interest, <em>R</em>, is given by
From the question,
<em>P</em> = $ 50
<em>R</em> = 3% per week
<em>T</em> = number of weeks in 2 years = 2 × 52 = 104 (Assuming 52 weeks for each year)
(b)
The shark's vig = $ 1081.54 - $ 50 = $ 1031.54