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Flauer [41]
3 years ago
8

Mathematical induction is:

Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

The third option.

Step-by-step explanation:

Mathematical induction is a 2 step mathematical technique which is used to prove a statement, a formula or a theorem is true for every natural number.

Step 1 (Base step) - It proves that a statement is true for the initial value.

Step 2 (Inductive step) - It proves that if the statement is true for the nth iteration (or number n), then it is also true for (n + 1)th iteration (or number n + 1)

Hope this helps.

Please mark Brainliest.

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Ernesto has $20 in an account. The interest rate is 10% compounded annually.
chubhunter [2.5K]

The interest Ernesto will earn in 1 year to the nearest cent is 2200 cents.

<u>Given the following data:</u>

  • Principal = $20.
  • Interest rate = 10%
  • Time = 1 year.

To calculate how much interest Ernesto will earn in 1 year to the nearest cent:

<h3>How to calculate compound interest.</h3>

Mathematically, compound interest is given by this formula:

B=P(1+r)^t

<u>Where:</u>

  • B is the balance.
  • P is the principal or starting amount.
  • R is the interest rate.
  • T is the time measured in years.

Substituting the given parameters into the formula, we have;

B=20(1+0.1)^1\\\\B=20(1.1)

B = $22.

<u>To cents:</u>

B = 22 \times 100

B = 2200 cents.

Read more on interest here: brainly.com/question/24341207

4 0
2 years ago
Point A is at (-7,-7) and point B is at (-5,5). What is the midpoint of line segment AB?​
nevsk [136]

Answer:

MP= (-6,-1)

Step-by-step explanation:

midpoint formula: (\frac{x^{1}+x^{2}  }{2})(\frac{y^{1} + y^{2} }{2}  )=MP

(-7,-7) (x^{1},y^{1})

(-5,5)  (x^{2},y^{2})

(\frac{-7+-5}{2}) \\ (\frac{-7+5}{2})= -7+-5/2= -12/2= -6

-7+5/2= -2/2= -1

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