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nika2105 [10]
2 years ago
14

A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. Use the formula r=(F/P)^1/n−1 to find the annual

inflation rate r to the nearest tenth of a percent, where n is the number of years during which the value increases from P to F.
A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. Use the formula r=(FP)1/n−1 to find the annual inflation rate r to the nearest tenth of a percent, where n is the number of years during which the value increases from P to F.
Mathematics
1 answer:
enot [183]2 years ago
6 0

Answer:

Step-by-step explanation:

The formula representing the the annual inflation rate r is expressed as

r = (F/P)1/n−1

Where

n represents the the number of years during which the value increases from P to F

A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. This means that

P = $800,000

F = $1,100,000

n = 6

Therefore,

r = (1100000/800000)1/6−1

r = 1.375/5 = 0.275

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I am Lyosha [343]

Answer:

-$13.5

Step-by-step explanation:

Let x be a random variable of a count of player gain.

- We are told that if the die shows 3, the player wins $45.

- there is a charge of $9 to play the game

If he wins, he gains; 45 - 9 = $36

If he looses, he has a net gain which is a loss = -$9

Thus, the x-values are; (36, -9)

Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5

3 0
2 years ago
Which of the following is the solution to 17 - 2x = -11?<br> -14<br> -3<br> 3<br> 14
mr Goodwill [35]
14 because - 11-17=-28. If you divide -28 by -2x you get 14
4 0
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In order to go to college, Chris goes from working full-time making $30,000 per year to working part-time at half the salary for
Korolek [52]

Answer:

Step-by-steIn order to go to college, Chris goes from working full-time making $30,000 per year to working part-time at half the salary for two years. The cost of his education will be $5,000. If Chris makes $35,000 per year after getting his degree, approximately how many years will it take him to recover his investment? *

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Solve the system using substitution.<br> y - 3x = 1<br> 2y - x = 12<br> ([?], [])
anyanavicka [17]

Answer:

(2, 5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y - 3x = 1

2y - x = 12

<u>Step 2: Rewrite Systems</u>

y - 3x = 1

  1. Add 3x on both sides:                    y = 3x + 1

<u>Step 3: Redefine Systems</u>

y = 3x + 1

2y - x = 12

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    2(3x + 1) - x = 12
  2. Distribute 2:                         6x + 2 - x = 12
  3. Combine like terms:           5x + 2 = 12
  4. Isolate <em>x</em> term:                     5x = 10
  5. Isolate <em>x</em>:                              x = 2

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    2y - x = 12
  2. Substitute in <em>x</em>:                       2y - 2 = 12
  3. Isolate <em>y </em>term:                        2y = 10
  4. Isolate <em>y</em>:                                 y = 5
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