2/3 x + 1 = 27
subtract 1 from each side
2/3 x = 26
multiply by 3/2
3/2 * 2/3 x = 26 * 3/2
x = 39
Answer:
1/50
Step-by-step explanation:
1/5 times 1/10 is 1/50
:)
The angle is 75.52 degrees
If there is a vector with the form a i + b j, the cosine of the angle between the given vector and the positive direction of the x - axis is calculated as:
cos θ = 
So, given the vector i+
, the cosine of the angle between the vector and the x-axis is:
cos θ = 0.25
Therefore, the angle θ between the given vector and the positive direction of the x-axis is:
θ = cos-1(0.25) = 75.52
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Answer:
<em>5x² + 10x + 2 </em>
Step-by-step explanation:
g(x + 1) = 5(x + 1)² - 3 = 5( x² + 2x + 1 ) - 3 = <em>5x² + 10x + 2</em>
If the value was initially v, then after a year it is 0.75v, after 2 years it’s 0.75²v, and so on. So after 6 years it’s 0.75⁶v.
So 0.75⁶v=7500, and v=7500/0.75⁶=$42,139.92 approximately. This is close to $42,140.