Answer:
57
Step-by-step explanation:
We need to create a ratio. so Aubree practices the piano for 1197 min: in 3 weeks. So for 1 week, we have to divide 1197 by 3, so 1197/=399. And so we know that 1 week is 7 days, just divide 399 by 7! 399/7=57. The rate that she practiced per day is 57 minutes. So one last final step just to check if this answer is correct is to divide 57 by 60, and that is 0.95. 0.95 out of 1.00 minutes per day is 95/100. Cross multiply with x/60, and you will get your answer, which is 57.
Answer:

Step-by-step explanation:
The graph in the attached figure
<em>Find the equation of the dashed line</em>
we have
points (0,2) and (5,3)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to

substitute the given values


<em>Find the equation of the dashed line in slope intercept form</em>

we have


substitute

Remember that
The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality is

Answer: 9/1
Step-by-step explanation:
You can solve this using trigonometric functions.
The angle between the fish and the ground is
tan θ = 100 / 50
θ = tan-1 (2)
θ = 63.43°
The height of the bird before it dropped the fish is already given, which is 100 yards.
Step-by-step explanation:
a.)Buying: total cost
Total cost= commission + (price per share× Number of of shares ) ;
Total cost= 11 + (19.72×30)= $591.6+11= $601.6
b.)Net gain or loss;
First, find cash received from sale of stock and deduct commission;
Cash from sale =20.75×30= $ 622.5
deduct commission= 622.5-11= $611.5
Gain or loss= sale-cost = 611.5-601.6 = $9.9, meaning there is a profit.
c.) Annual rate of return= (net gain or loss/amount paid)×100%
return= 9.9/(601.6)×100 = 1.645%