Each semiannual payment is (1/2)*.0545*$1000 = $27.25. There are 2*30 = 60 such payments in 30 years. After 6 payments, there will be 54 left.
a) The value of Tristan's bond is $1238.08
b) The value of Tristan's bond is $926.91
Answer:
2, 1, 3, 4, 6, 5
Step-by-step explanation:
The rate of change of function f(x) on an interval [a, b] is defined as ...
average rate of change = (f(b) -f(a))/(b -a)
For the function h(x) = 2^-x, this will be ...
arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)
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1. For the interval [0, 2], the average rate of change is ...
arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375
1 goes in the 2nd answer blank
2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.
Answer:
40%
Step-by-step explanation:
percent change in Mike's long distance runs = (change in miles ran / initial longest mile ran) x 100
change in miles ran = new personal record - initial personal record
14 - 10 = 4
(4/10) x 100 = 40%
