GET THIS RIGHT AND GET BRAINLESS I NEED HELP!!!! Find the Greatest Common Factor (GCF) of the following numbers: 72 120
1 answer:
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Given:
• Volume of small containers = 2.5 m³
,• Volume of large containers = 4 m³
,• Number of containers in the shipment = 140
,• Total volume = 440 m³
Let's find the number of the size of each container used.
Let s represent the number of small containers
Let L represent the number of large containers.
• Equation for number of containers:
s + L = 140
• Equation for total volume:
2.5s + 4L = 140
Hence, we have the set of equations:
s + L = 140...........................equation 1
2.5s + 4L = 440...................equation 2
Let's solve the set of equations simultaneously using substitution methos.
Rewrite equation 1 for L:
L = 140 - s...........................equation 3
Substitute (140 -s) for L in equation 2:
2.5s + 4(140 - s) = 440
Apply distributive property:
2.5s + 4(140) + 4(-s) = 440
2.5s + 560 - 4s = 440
Combine like terms:
2.5s - 4s + 560 = 440
-1.5s + 560 = 440
Subtract 560 from both sides:
-1.5s + 560 - 560 = 440 - 560
-1.5s = -120
Divide both sides by -1.5:
Substitute 80 for s in either of the equations.
Take equation 3.
L = 140 - s
L = 140 - 80
L = 60.
Therefore, we have the solutions:
s = 80 and L = 60
Therefore, the company used 80 small containers and 60 large containers
Answer:
a) amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Step-by-step explanation:
We are given:
Principal Amount P= 5000
Rate r= 4% = 0.04
time t = 7 years
The formula used is:
where A is future value, P is principal amount, r is rate, n is compounded value and t is time
a) Find the amount in the bank after 7 years if interest is compounded quarterly?
If interest is compounded quarterly then n = 4
Using values given in question and finding A
So, amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) Find the amount in the bank after 7 years if interest is compounded monthly?
If interest is compounded quarterly then n = 12
Using values given in question and finding A
So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57