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).
Write the given third order linear equation as an equivalent system of first order equations with initial values.
Use
Y1 = Y, Y2 = y', and y3 = y".
-
-
√ (3t¹ + 3 − t³)y" — y" + (3t² + 3)y' + (3t — 3t¹) y = 1 − 3t²
\y(3) = 1, y′(3) = −2, y″(3) = −3
(8) - (888) -
with initial values
Y
=
If you don't get this in 3 tries, you can get a hint.
Question 2
1 pts
Let A be the value of the triple integral
SSS.
(x³ y² z) dV where D is the region
D
bounded by the planes 3z + 5y = 15, 4z — 5y = 20, x = 0, x = 1, and z = 0.
Then the value of sin(3A) is
-0.003
0.496
-0.408
-0.420
0.384
-0.162
0.367
0.364
Question 1
Let A be the value of the triple integral SSS₂ (x + 22)
=
1 pts
dV where D is the
region in
0, y = 2, y = 2x, z = 0, and
the first octant bounded by the planes x
z = 1 + 2x + y. Then the value of cos(A/4) is
-0.411
0.709
0.067
-0.841
0.578
-0.913
-0.908
-0.120
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