A couple has $ 60 , 000 to invest for retirement. They plan to put x dollars in stocks and y dollars in bonds. For parts (a)-(d), write an inequality to represent the given statement. a. The total amount invested is at most $ 60 , 000. b. The couple considers stocks a riskier investment, so they want to invest at least twice as much in bonds as in stocks. c. The amount invested in stocks cannot be negative. d. The amount invested in bonds cannot be negative. e. Graph the solution set to the system of inequalities from parts (a)-(d).
A couple has $ 60 , 000 to invest for retirement. They plan to put x dollars in stocks and y dollars in bonds. For parts (a)-(d), write an inequality to represent the given statement. a. The total amount invested is at most $ 60 , 000. b. The couple considers stocks a riskier investment, so they want to invest at least twice as much in bonds as in stocks. c. The amount invested in stocks cannot be negative. d. The amount invested in bonds cannot be negative. e. Graph the solution set to the system of inequalities from parts (a)-(d).
Solution Summary: The author determines an inequality to represent the given statement. The amount invested in stocks is at least twice as much as in bonds.
A couple has
$
60
,
000
to invest for retirement. They plan to put
x
dollars in stocks and
y
dollars in bonds. For parts (a)-(d), write an inequality to represent the given statement.
a. The total amount invested is at most
$
60
,
000.
b. The couple considers stocks a riskier investment, so they want to invest at least twice as much in bonds as in stocks.
c. The amount invested in stocks cannot be negative.
d. The amount invested in bonds cannot be negative.
e. Graph the solution set to the system of inequalities from parts (a)-(d).
1. Given the vector field F(x, y, z) = -zi, verify the relation
1
VF(0,0,0) lim
+0+ volume inside S
ff F• Nds
S.
where S, is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
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