Answer:
$2492.10
Step-by-step explanation:
- Deposit amount = $2130
- Interest rate = 4.25% annual simple
- Time = 4 years
<u>Balance at the end of 4 years:</u>
- $2130*(1 + 4*0.0425) = $2492.10
The question is essentially asking for the least common multiple of 20 and 25. There are several ways you can find the LCM. One easy way is to divide the product by the GCD (greatest common divisor).
GCD(20, 25) = 5 . . . . . see below for a way to find this, if you don't already know
LCM(20, 25) = 20×25/GCD(20, 25)
... = 500/5 = 100
The buses will be there together again after ...
... B. 100 minutes
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You can also look at the factors of the numbers:
... 20 = 2²×5
... 25 = 5²
The least common multiple must have factors that include all of these*, so must be ...
... 2²×5² = 100
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* you can describe the LCM as the product of the unique factors to their highest powers. 20 has 2 raised to the 2nd power. 25 has 5 raised to the 2nd power, which is a higher power of 5 than is present in the factorization of 20. Hence the LCM must have 2² and 5² as factors.
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You can also look at the factorization of 20 and 25 to see that 5 is the only factor they have in common. That is the GCD, sometimes called the GCF (greatest common factor).
What exactly are you trying to figure out?
Answer:
Step-by-step explanation:
1. Use of lubricants
Lubricants like oil and grease helps to decrease friction by forming a thin film in between different parts of the machine. This film covers up the scratches and bumps on the surfaces of different parts. This reduces interlocking between the two surfaces. Thus reducing the friction.
2. Use ball bearings
Two moving surfaces in a machine are attached by placing small steel balls or steel rollers in between them. This way, the moving parts avoid direct contact and the force of sliding friction turns into rolling friction. Rolling friction is less than sliding friction, in doing so reducing the friction.
3. Polishing
Polishing reduces the unevenness of a surface. This will reduce interlocking between the surfaces.
4. Streamlining
Streamlining is the process where you make a machine in a shape that avoids air and water resistance. This reduces friction because a streamlined object cuts through the water and air molecules.
Answer:
1. 4 and 4sqrt2
2. 6sqrt2 and 6sqrt2
3. 5 and 5sqrt2
4. 5sqrt2 and 5sqrt2
5. 6 and 6
6. 8 and 8sqrt2
7. sqrt3 and sqrt6
8. sqrt2 and sqrt4
Step-by-step explanation:
