The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
Answer:
$203.02
Step-by-step explanation:
Since the bank in question compounds interest continuously, the following equation should be used to determine the final balance (B) in April's account:
Where "e" is a mathematical constant approximated as 2.7183, "i" is the interest rate (1.5%) and "t" is the investment time in years (1):
April's balance would be $203.02 after one year.
Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application
Answer:
1) 19200- for Aarati 2) 17280- for Aakriti
Step-by-step explanation:
1. 16000/100*20=3200- THE MONEY WHICH ARE THE PROFIT,
2. 16000+3200=19200- THE PRICE for Aarati
3. 100-10=90 PERCENTS - the price for AAkriti contains from the price from Aarati
4. 19200*(90/100)= 17280- the price for Aakriti
Answer:
J 672 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is
V = l*w*h
V = 14 inches * 8 inches * 6 inches
V =672 inches^3
