Step-by-step explanation:
1/5x+60=2/3x-2
subtract 1/5x from 2/3x
when you do that you should get 0.46x repeating
then you add two to 60
you should get 62
62=0.46x
divide x
you get 134.7
Beginning with the function y = sin x, which would have range from -1 to 1 and period of 2pi:
Vertical compression of 1/2 compresses the range from -1/2 to 1/2
Phase shift of pi/2 to the left
Horizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4pi
Vertical shift of 1 unit up moves the range to 1/2 to 3/2
So the first choice looks like a good answer.
<span>3x + 2 y = 27
2 x + y = 27-11 = 16
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The student's conclusion is correct because the solution to the system of equations 3x + 2y = 27 and 2x + y = 16 is (5, 6). C
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A = $ value after 15 years
P = principal (initial deposit)
r = annual % rate
n = # of times interest compounds per year
t = # of years the money is invested
Formula:
A = P (1 + r/n)^(nt)
A= $3400(1+ 0.0775/1) ^(1*15)
A= 3400(1.0775)^15
A= 3400(3.0637913274)
A= $10,417 investment after 15 years
Hope this helps! :)