Answer:
Step-by-step explanation:
Rewrite the equation as:
Isolating 
Factor:
Dividing both sides by 
and multiplying them by 
Integrate both sides:
Evaluate the integrals:
Solving for y:
Evaluating the initial condition:
Converting 60 degrees to radians:
Replacing 
in the diferential equation solution:
Answer:
Answer: The statements are numbers 1, 3, 4
The non statements are 2, 5, 6
Step-by-step explanation:
It would be 6+4, which equals 10. Then, subtract 104 ft minus 10 to get 94 ft in depth.
Answer:
6 units
Step-by-step explanation:
The distance between two points can be calculated with the formula
However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.
Distance between (0, 2) and (0, 8)
= 8 -2
= 6 units
Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%
