Consider the sequence of steps to solve the equation: 5(x - 3) = 7x 2 Step 1 ⇒ 10(x - 3) = 7x Step 2 ⇒ 10x - 30 = 7x Step 3 ⇒ 3x
1 answer:
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Answer: 36 years
Step-by-step explanation:
Exponential equation to represent growth:-
, where A is the initial value , r is the rate of growth and t is the time period.
Given : A rare coin appreciates at a rate of 5.2% a year. If the initial value of the coin is $500.
i.e. Put A= 500 and r= 0.052 in the above formula.
The amount after t years:
Inequality for value cross $3,000 mark:
Divide both sides by 500
Taking log on both sides , we get
Hence, it will take approx 36 years to cross the $3,000 mark.
Answer:
Solution is : x = 1 ± 0.5√3
Step-by-step explanation:
We have given quadratic equation:
4x² - 8x + 1 = 0
We need to find solution using quadratic formula.
i.e x =
Compare from general quadratic equation ax² + bx + c=0
Here a= 4 , b = -8 and c = 1
∴ x = -(-8)±√((-8)²-4·4·1) / 2·4
x = (8 ±√48 )/8
x = 1 ± 0.5√3 , This is the answer