Answer:
Step-by-step explanation:
Given: Principal or P .
Rate or R per annum compounded annually.
Time or T years.
To find: Percentage difference between compound interest of first year and second year.
Solution:
First year interest .
First year amount .
For the second year, the interest is compounded semi-annually.
So, time is doubled and the rate is halved.
Second year compounded amount .
Second year compound interest .
Difference in interest of first and second year .
Percentage difference .
Hence, the percentage difference between compound interest of first year and second year is .
Answer:
Use trig ratios to find unknown sides in right triangles.
Step-by-step explanation:
Answer:
Sorry I have no idea lol. I hope you find your answer soon.
10. Horizontal shift of 50, vertical shift of -20, horizontal shift of -50. Think of it on a plane, with right in the positive x-axis and up in the positive y-axis. The cans go right 50ft, then down 20ft, then left 50ft. In terms of the horizontal and vertical, they go 50ft in the positive horizontal axis, then 20ft in the negative vertical axis, then 50ft in the negative horizontal axis. Therefore, the cans have a horizontal shift of 50, then a vertical shift of -20, then a horizontal shift of -50.
11. Since the partition and the wall are parallel, the triangles are similar. This means that the ratio between the sides are the same for the small triangle and the big triangle. The small triangle (made by the partition) is 3m wide and 2m tall. Since the big triangle (made by the wall) is 4m tall, the sides of the big triangle are twice the size of the small triangle. Therefore, the big triangle is 6m wide. We cannot forget to subtract the 3m from the small triangle, since we only want to know how far the partition is from the wall, not how far the point is from the wall.
The wall is 3m away from the partition.
We're given
which immediately tells us that
In other words, swapping the limits of the integral negates its value.
Also,
The integral we want to compute is
which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is