Answer:the total number of horses in the herd is 36
Step-by-step explanation:
Let x represent the total number of horses in the herd.
One fourth of the herd of horses was seen in the forest. This means that the number of horses that was seen in the forest would be
1/4 × x = x/4
Twice the square root of the herd had gone to the mountain slopes. This means that the number of horses that had gone to the mountain slopes would be
2 × √x = 2√x
Three times five horses remained on the riverbank. This means that the number that remained would be
3 × 5 = 15
Therefore
x/4 + 2√x + 15 = x
x - x/4 - 15 = 2√x
(4x - x - 60)/4 = 2√x
(3x - 60)/4 = 2√x
Cross multiplying,
3x - 60 = 8√x
Squaring both sides of the equation, it becomes
(3x - 60)(3x - 60) = 64x
9x² - 180x - 180x + 3600 = 64x
9x² - 360x - 64x + 3600 = 0
9x² - 424x + 3600 = 0
Applying the quadratic equation
x = (- b ±√b² - 4ac)/2a
x = ( - - 424 ± √-424² - 4(9 × 3600)/2 × 9
x = (424 ± √179776 - 129600)/18
x = (424 ±√50176)/18
x = (424 + 224)/18 or
x = (424 - 224)/18
x = 36 or x = 11.11
the number of horses must be whole number. Therefore, the number of horses is 36
Answer:
The given situation is an example of ultimatum game.
Explanation:
The ultimatum game is a popular experiment. It is widely used in economic experiments. In this game two people are matched randomly, one player as a proposer and one as a responder. They are told they would play a game exactly once. The proposer is given an amount of money and he has the task to split or divide that amount between himself and the responder. When the proposer conveys the decision, the respondent then decides whether to accept or reject it. If the responder accepts, then both earn the amount split per the proposer's suggestion. If responder rejects then both the proposer and responder receive nothing.
For example a player is given a sum of money, $ 20. He is called proposer. He is told to offer some endowed amount (from $1 to $20) to the other player who is responder. If responder accepts this amount offer they both keep that money but if the responder rejects the offer then both players get nothing.
Answer:
How much money will be in Account A at the end of 3 years? $ ⇒ 1092.73
How much money will be in Account B at the end of 3 years? $112
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
