Answer: 1️⃣ 40
Step-by-step explanation:
<em>x - is the side of the square</em>
<em />![x^{2} +x^{2} =(10\sqrt{2})^{2} \\2x^{2}} =200\\2x^{2} \div 2=200 \div 2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \: [cm] - side \: of \: a \: square](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bx%5E%7B2%7D%20%20%20%3D%2810%5Csqrt%7B2%7D%29%5E%7B2%7D%20%20%5C%5C2x%5E%7B2%7D%7D%20%20%3D200%5C%5C2x%5E%7B2%7D%20%5Cdiv%20%202%3D200%20%5Cdiv%20%202%20%5C%5Cx%5E%7B2%7D%20%3D100%5C%5Cx%3D%5Csqrt%7B100%7D%20%5C%5Cx%3D10%20%5C%3A%20%20%5Bcm%5D%20-%20side%20%5C%3A%20of%20%20%5C%3A%20a%20%5C%3A%20square)
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<em>Find the perimeter of the square.</em>
<em>Perimeter of the square = 4 × 10 cm = 40 cm</em>
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Base on my calculations, the answer is not in the choices given. First, we have to acknowledge that the interest rate given is not the effective interest rate instead it is called the nominal interest rate therefore we have to convert it first to an effective interest rate. We use the following formula:
Effective Interest rate = [[1 + (r/m)]^m] - 1 where r is the nominal interest rate and m is the number of compounding times
For this case, m is equal to 2 since it is compounded semianually.
Effective Interest rate = [[1 + (.12/2)]^2] - 1 = .1236
We then use the calculated effective interest rate to the formula for the Compound Interest Rate Formula.
Future Value = Present Value (1 + Effective interest rate)^(no. of years)Future Value = 3000 (1 + .1236)^( 3) = 4255.56 dollars
The given set is {-1,0,1,2,3,4,5}
(notice the -2 and 6 are excluded)
the subset which contain positive factors of 5 is {1,5}
so the complement set would be
{-1,0,2,3,4) which matches with b)
Answer:
try to be clear enough so that the answerer can understand
Step-by-step explanation:
.
5% of 235 is: 235*(5/100)= 235/20 = 11,75 or 5% of 470 is: 470/20 = 23,5
Total cost = 2*(235 + 11,75) = 2*246,75 = 493,5 or Total cost = 470 + 23,5 = 493,5
