Complete Question
Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P (n) is true for n ≥ 18.
Show statements P (18), P (19), P (20), and P (21) are true, completing the basis step of the proof.
Answer:
P(18) is true
P(19) is true
P(20) is true
P(21) is true
Step-by-step explanation:
a. When n = 18
18 cents can be formed using two 7cents and one 4cents
i.e. 2 * 7 + 4 = 18
So, P(18) is true
b. When n = 19
19 cents can be formed using one 7cents and three 4cents
i.e. 1 * 7 + 3 * 4 = 19
So, P(19) is true
c. When n = 20
18 cents can be formed using five 4cents
i.e. 5 * 4 = 20
So, P(20) is true
d. When n = 21
18 cents can be formed using three 7cents
i.e. 3 * 7 = 21
So, P(21) is true
Given the equation A (x) = 30 x 8.3 ^x, we can get the
initial amount of A when x is equal to zero. Therefore:
A (0) = 30 * 8.3^0
A (0) = 30
In this case the equation grows by 8.3 times as x increases.
Therefore the growth factor is 8.3.
Answers:
initial amount = 30
growth factor = 8.3
The answers are not in the given choices. I believe you are
giving the wrong equation. If the correct equation here is:
A (x) = 680 x 4.3 ^x
Then the answers are:
initial amount = 680
growth factor = 4.3
The answers are now in the choices given.
Answer:
yes, it is 10 times as great
Answer:
The answer would be that All the powers have a value if 1 because the exponent is zero.
Step-by-step explanation:
Use the exponent rule to help you
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