Cotangent is one over tangent
1/(4/7)
Answer 7/4
To solve for y, you want to have all unknowns on one side and knowns on the other. to do this, we can divide both sides by 0.6 so that the knows are on the second side and y on the other. then, we can simplify to solve for y
So basically, the first question after the word problem is asking you to write an equation to represent the value of Mama's car after a certain amount of years (t). Since the value of her car decreases by 3% each year, you could multiply 3% by the original value of her car, to find what 3% is, OR you could subtract 19,400 (the value of her car after 1 year) from 20,000 INSTEAD of multiplying 20,000 by 3%.
Equation: value=20,000 - 600t
To answer the next question, just plug it into the equation you created.
500<20,000 - 600t
-19500< -600t
32.5>t
Final Answer: It would take at least 32 and 1/2 years for the value of Mama's car to be less than $500.
Hope this helps!! :)
12⁷/₁₂ - 5¹⁴/₅
12⁷/₁₂ - 7⁴/₅
12³⁵/₆₀ - 7⁴⁸/₆₀
11⁹⁵/₆₀ - 7⁴⁸/₆₀
4⁴⁷/₆₀
Your answer is correct. A
