Assuming the inteest is annual, since it's simple that means we just have to analyze:
, where r is our interest rate as a decimal, t is time, p is our principal investment and A is our ending value. So, in the context of our problem this becomes:
, which when evaluated by our trusty calculator becomes:
7657.68938,
which is rounded to 7500 in the problem.
Answer:
see explanation
Step-by-step explanation:
[ 17, + ∞ ] are used to indicate that the values inside are equal to the 2 limits, that is that x can equal 17 or + ∞
However, this as not the case as x > 17 indicates x is greater than 17 but not equal to it. This is also true for + ∞
To represent this situation parenthesis is used, that is
(17, + ∞ )
Answer:
The angle 7 is equal to angle 1. They are vertically opposite angles.
Answer:
OPTION C: Sin C - Cos C = s - r
Step-by-step explanation:
ABC is a right angled triangle. ∠A = 90°, from the figure.
Therefore, BC = hypotenuse, say h
Now, we find the length of AB and AC.
We know that: 
and 
Given, Sin B = r and Cos B = s
⇒ 
⇒ 
Hence, the length of the side AC = rh
Now, to compute the length of AB, we use Cos B.

⇒ 
Hence, the length of the side AB = sh
Now, we are asked to compute Sin C - Cos C.

⇒ 

= s
Sin C = s


⇒ Cos C = 
Therefore, Cos C = r
So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.