Answer: A
Compound interest simply defined as the interest added at regular interval. Compound interested can be calculated using
Compound interest = P (1+) ^nt and Pe ^rt
P = Initial balance
r = Annual interest rate
n = Number of times the interest is compounded per year
t =Number of year money is invested
Using
Compound interest = P (1+ ) ^nt
Continuous
P= $ 8000
t = 6
r = 6.25%
=
= 0.0625
n = 1
Compound interest = 8000 (1+) ^1×6
= 8000 (1 + 0.0625) ^6
= 8000 (1.0625) ^ 6
= 8000× 1.4387
= $11,509.6
Semi- annually
P= $ 8000
t = 6
r = 6.3%
=
= 0.063
n = 2
Compound interest = 8000 (1+) ^2×6
= 8000 (1 + 0.063) ^12
= 8000 (1.063) ^12
= 8000× 1.4509
= $11,607.0
Investing $ 8000 semi-annually at 6.3% for 6 years yields greater return
Therefore the answer is (A)
To find the average rate of change of given function f(x) on a given interval (a,b):
Find f(b)-f(a), b-a, and then divide your result for f(b)-f(a) by your result for b-a:
f(b) - f(a)
------------
b-a
Here your function is f(x) = x^2 - 2x + 3. Substituting b=5 and a=-2,
f(5) = 5^2 -2(5)+3 =? and f(-2) = (-2)^2 - 2(-2) + 3 = ?
Calculate f(5) - [ f(-2) ]
------------------ using your results, above.
5 - [-2]
Your answer to this, if done correctly, is the "average rate of change of the function f(x) = x^2+2x+3 on the interval [-2,5]."
30 kilograms
.....................................
Answer:
Option C is the Correct Answer
I believe that the answeres are either (The functions have the same shape. The Y intercept of y= |x| is 0, and the y-intercept of the second function is -9) or ( the two functions are the same) my best guess is (The functions have the same shape. The Y intercept of y= |x| is 0, and the y-intercept of the second function is -9)
