Given :
Levi answered 8 questions correctly out of 10 turns in the game.
Then answered the next three questions correctly.
He reasoned that because he added 3 to both the total questions and his correct responses, that the ratio of correct answers to total questions remained the same.
To Find :
Is he correct or not .
Solution :
Initially total number of questions are 10 and he answered 8 of them correctly .
So , ratio of correct ans to total ans is :
Now , he added more three questions and able to solve all of them .
So , new ratio is :
Therefore , the ratio of correctly answered and and total questions will not remain same .
Hence , this is the required solution .
So , total number of questions now are 13 and correctly answered are 11 .
Answer:
The answer to your question is x₁ = 10; x₂ = 5i; x₃ = -5i
Step-by-step explanation:
x³ - 10x² + 25x - 250 = 0
Factor by grouping
x²(x - 10) + 25(x - 10) = 0
(x - 10) (x² + 25) = 0
x₁ - 10 = 0
x₁ = 10
x² + 25 = 0
x² = -25
x² = ± √-25
x² = ± √25i²
x₂ = 5i
x₃ = -5i
Use the depreciation formula.
Where 'p' is the principal value, 'r' is the rate it depreciates, and 'n' is the time. Just plug in what we know:
Simplify by subtracting:
Simplify the exponent:
Multiply:
cross multiply to find the answer
Answer:
x = 32 ......
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