Answer:
The final balance is $1,193.46.
The total compound interest is $393.46.
Step-by-step explanation:
The final balance is $1,820.62.
The total compound interest is $520.62.
The compound interest on initial balance is $393.46.
The compound interest on additional deposits is $127.16.
The final balance of initial money is $1,193.46.
The final balance of additional deposit is $627.16.
The sum of the additional deposits is $500.
The total principal (initial balance plus total additional deposits) is $1,300.
Balances
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Interest with yearly comp.Add. interest with continuous comp.
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Answer:
y=1 , z=-2
Step-by-step explanation:
I will use the method of elimination :
Multiply the top equation by 5 to make equation 3 :
35z + 15y = -55
Multiply bottom equation by 3 to make equation 4:
6z + 15y = 3
Subtract equation 3 from equation 4 to eliminate the y :
-29z = 58
Divide both sides by -29 to solve for z :
z = 58 ÷ -29
z = -2
Substitute this value into either equation 1 or 2 to solve for y :
I chose equation 2 :
2(-2) + 5y = 1
-4 + 5y = 1
Add 4 to both sides :
5y = 5
Divide both sides by 5 :
y = 1
Hope this helped and have a good day
Volume of a cone is equal to pi * r^2 * h/3.
In this case:
pi * 6^2 * 9/3
pi * 36 * 3
108pi
Answer: 339.3