Answer:
It is false that, if the national economy shrank at an annual rate of 9% per year for three consecutive years then the economy shrank by 27% over the 3-year period, because this percentage does not follow a linear path, but on the contrary, it is calculated exponentially: 9% of each year is calculated on the rest that remained after discounting 9% the previous year.
Thus, if the national economy has a value of 100, after three years it will not have a value of 79, but a value of 75.35, as it arises from the following calculation:
100 x 0.91 ^ 3 = X
100 x 0.753571 = X
75.35 = X
He took it from a panoramic view!
Hello from MrBillDoesMath!
Answer: 48.2 degrees
Discussion:
In the diagram, "6" is the x- distance along the side adjacent to theta, and
3 * sqrt(5) is the y-distance along the side opposite angle theta.
By definition of tangent of angle, using "@" for theta, we have
tan (@) = opposite/adjacent = 3 * sqrt(5) / 6 = sqrt(5)/2
So @ = (inverse tangent (sqrt(5)/2) ) = 48.189 degrees (approximately)
Thank you,
MrB
The second is this I hope it helps
