Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
Answer:
4(-9)= -36
Step-by-step explanation:
Since there's a negative on the 9 it will affect the product. So the answer is supposed to be a - 36.
Answer:
Step-by-step explanation:
Interest earned during the rest of 2 years and 6 months
40 + 40 + 40 = 120
he will be getting 1000 at the time of maturity ie after 2.5 years .
Total receipt = 1000 + 120 = 1120
investment made = 820
total receipt earned = 1120
profit made = 300
time = 2.5 years
profit = investment x rate of intt x time / 100
300 = 820 x r x 2.5 / 100 where r is rate of interest
r = 30000 / 820 x 2.5
= 14.63 % .
