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IrinaK [193]
3 years ago
12

What is the value of i^n if the remainder of n/4 is 2?

Mathematics
2 answers:
mestny [16]3 years ago
8 0

Answer: 1

Step-by-step explanation:

we are to find the value of i^n if the remainder of n/2 =4

First, we need to find what n is.

To find n;

n/4 = 2

we simply multiply bothside of the equation by four

n/2 ×4 = 2 ×4

n = 8

Next is for us to know what i stand for.

i usually show the imaginary part if a complex number.

In Mathematics, i = √(-1)

which implies i² ⁼ √(-1) ×√(-1) = - 1

Now back to our question,

iⁿ = i⁸ (since n=8)

Now ,

i⁸ = i² × i² × i² × i²

= -1 × -1 × -1 ×-1 (remember i²=-1)

=1

Therefore, iⁿ is 1 if the remainder of n/4 is 2

nydimaria [60]3 years ago
7 0

Answer:

C and D

Step-by-step explanation:

i=√-1

n/4=x.5

since 2 is the remainder

n=2x

then i^n=i^2x

when x is even, i^n =1

when x is odd, i^n=-1

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2 years ago
Explain which variables would be included when using technology to calculate the present value of a lump sum and to calculate th
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Answer:

a. Present value of a lump sum =

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Step-by-step explanation:

a. Present Value of a Lump sum =

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Where variables in the formula are explained as follows

PV = Present Value of the given amount today

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b. Present value of an annuity is given as:

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The variables in the equation are explained as the follows:

P = the present value of annuity

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3 years ago
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Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

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By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

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