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topjm [15]
3 years ago
8

16 is 80% of what total amount?

Mathematics
2 answers:
Elden [556K]3 years ago
7 0

Answer:

20, or 100%

Step-by-step explanation:

lorasvet [3.4K]3 years ago
7 0

Answer:

20

Step-by-step explanation:

Is means equals and of means multiply

16 = 80% *x

Change to decimal form

16 = .80 x

Divide each side by .80

16 / .80 =x

20 = x

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
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Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

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