Answer:
The correct answer is D. 3 % p. a .
Step-by-step explanation:
For the investment offered, Martin is supposed to get $180 as an interest ($6,180 - $6,000).
Now Martin is borrowing $6,000 from the bank to make this investment. He should be charged $180, so that he breaks even on investment.
Thus using the formula:
Interest= Principal × Time ( per annum) ×
; (Here simple and compound interest are same as the sum borrowed is to be charged for a single year)
⇒ 180 =
× 1 × Interest rate
⇒ 180 = 60 × Interest rate
⇒ Interest rate = 3
Thus the correct answer is 3% per annum.
● Answer:
~~ 15 weeks
● Step-by-step explanation:
1 week = 7 days = 7×24hours = 168 hours
2500 hours ÷ 168 hours = 14.88 hours
~~ 15 weeks
In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.
Okay,
so first you gotta know that cos(90-x) is equal to sinx and sin(90-x) is equal to cosx!!
Now all you gotta do is replace the cos(90-x) to sinx in the numerator and sin(90-x) to cosx in the denomenator inorder to make the numerator all into sin and denomenator all into cos.
After that, open up the brackets and solve...
At the end you'll hopefully get something like this :( 1+sin90 ÷ 1+cos90 )
And since sin90 is 1 (put it in the calculator!) and cos90 is 0, you'll get 2÷1 which is equals to 2!!
Hope this helped! :)