Combine like terms and use inverse operations
Answer:
6.66%
Step-by-step explanation:
((1 + r/m)^n) - 1
Interest rate , r = 6.5%
m = number of compounding times per period = 4 (quarterly interest)
((1 + 0.065/4)^4) - 1
((1 + 0.01625) ^4) - 1
((1.01625)^4) - 1
1.06660 - 1
= 0.0666
0.0666 * 100%
= 6.66%
Answer:
exponential decay
Step-by-step explanation:
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
