2877
837 + 2000 =2877
Suppose, John arranges stack of Gold and Silver coins in such a way that each stack either contains Gold or contains Silver coins only.
He also tries to arrange them in the least area.
Here, the number of coins in each stack is the common factor of number of Gold and Silver coins.
If we find the highest common factor, then the area occupied by the coins will be least.
Hence, in this situation, we have to find the common factor.
Suppose, George and David are walking along the circular pathway of a park with different speeds.
The problem is to find the time after which they will meet again at the starting point.
Clearly, here the required time is the common multiple of independent time taken by both.
Answer:
x= 5 ±√11 / 2
Step-by-step explanation:
It will take 12.8047 years for Jari's investment to double
Step-by-step explanation:
The formula for compound interest, including principal sum is
, where:
Jari invests in a CD with an annual interest rate of 5.45% compounded quarterly. We need to find how many years it will take for Jari's investment to double.
∵ The annual interest rate is 5.45%
∴ r = 5.45% = 5.45 ÷ 100 = 0.0545
∵ The interest rate is compounded quarterly
∴ n = 4
∵ The Jari's investment is doubled in t years
∴ A = 2P
- Substitute these values in the rule above
∵
- Divide both sides by P
∴
∴
∴
- Insert ㏒ to both sides
∴
- Remember
∴ ㏒(2) = 4t ㏒(1.013625)
- Divide both sides by 4 ㏒(1.013625) to find t
∴ t = 12.8047 years
It will take 12.8047 years for Jari's investment to double
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