Answer:
A general way of explaining this is
Suppose that we have a given property (or a pattern if we are working with a series of numbers):
Now, if that property is true, for example, for the numbers 1, 2, 3... etc. Then we can suppose that the property is also true for an unknown number N.
Now, if using the hypothesis that the property is true for N, we can prove that the property is also true for N + 1, then we actually proved that the property is true for all the set.
We actually can use any set, not only the natural numbers.
For example, we can use the set of the even numbers {2, 4, 6, 8....}, suppose that the property is true for a random number N, that is even, and then see if using that hypothesis we can prove that the property is also true for the next number in the set; N + 2.
Answer:
|X - 4| < 3 is equivalent to 1 < X < 7.
Step-by-step explanation:
Given
|X - 4| < 3
Required
Solution of the inequality
The options are not properly presented. However, I'll solve the question without considering the options.
To simplify the given inequality, it's worth knowing that the absolute function of any inequality returns the positive form of any value it takes (whether negative or positive).
Since, we've understood that the absolute can take negative of positive, the above inequality can take the following form
-3 < X - 4 < 3
Add 4 through
4 - 3 < X - 4 + 4 < 3 + 4
1 < X < 7.
Hence, |X - 4| < 3 is equivalent to 1 < X < 7.
The formula for continuous compounding is given by
A = P.
where P is the initial or principal amount = $40,000
A is the amount at the end =$ 110,000
r is the rate of interest = 6% = 0.06
t is the time = the value we need to find
lets plug in the values
㏑(2.75) = ㏑[]
㏑(2.75) = 0.06t
t= 16.86 years
The time taken for $40000 to amount to $110000 is 16.86 years
Answer:
the answer is 55 im pretty sure
Step-by-step explanation:
i used to do that all the time
hope it helps
<span>The property that is shown in the expression given in the question is commutative property. The word commutative has basically been taken from the word "commute". This means moving around and in case of this problem, it means moving around for doing the addition and getting to the right answer. I hope it helps you.</span>