Answer:
Step-by-step explanation:
Let x be the amount invested in municipal bonds, and let y be the amount invested in corporate bonds.
If Stephanie has $45,000 and she wants to invest part or all into a combination of municipal bonds and corporate bonds, the inequality for this statement would be
x + y ≤ 45000
She wants to invest no less than $20,000 into municipal bonds. It means that
x ≥ 20000
Also, she wants to invest at least four times as much into municipal bonds than into corporate bonds. This means that
x ≥ 4y
x/4 ≥ y
y ≤ x/4
The inequalities are
x + y ≤ 45000
x ≥ 20000
y ≤ x/4
Chance of u choosing meat is 5/15
first friend chooses, probability is 4/14
second friend chooses, probability is 3/13
so multiplying all 3 probablilities we get 2.2 percent
Answer:
Step-by-step explanation:
Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.
= 10 - 2x
Water in a separate tank is filling at a rate of 4 gallons per hour.
= 10 + 4x
Equating both Equations together
10 - 2x = 10 + 4x
10 - 10 = 4x - 2x
How long until the tanks have the same amount of water?
Let the time = x
<h3>
Answer: 123 meters is the longest </h3>
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Work Shown:
Convert everything to the same unit. I'm going to convert everything to meters
0.1203 km = 120.3 meters (multiply by 1000)
1230 cm = 12.3 meters (divide by 100)
12030 mm = 12.03 meters (divide by 1000)
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The four distances we have are: 120.3 meters, 123 meters, 12.3 meters, 12.03 meters. We see that 123 meters is the longest.