Answer:
c. 108.4
Step-by-step explanation:
cos theta = (u dot v)/ (||u|| ||v||)
where dot stands for dot product and || || is the magnitude
u = (1,5) v= (7,-4)
u dot v = (1*7 + 5*-4) = 7-20 = -13
||u|| = sqrt( 1^2 +5^2) = sqrt(1+25) = sqrt(26)
||v|| = sqrt(7^2 + (-4)^2) = sqrt(49+16) = sqrt(65)
cos theta = -13/ sqrt(26) sqrt(65)
cos theta = -13 /sqrt(1690)
theta = arccos (-13/sqrt(1690))
theta = 108.43
Return rate, r = 3% = 0.03
x = initial investment
b = final balance
After 1 year, the balance i
b = initial investment + interest
b = x + r*x = (1 + r)*x
Because r = 0.03,
b = 1.03x (after 1 year)
Answer:
87.6
Step-by-step explanation:
-37/8 as a decimal is -4.625. So: -4.62 > -4.63
Answer:
9/7
Step-by-step explanation:
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