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Ad libitum [116K]
4 years ago
15

On her last credit card bill, Linda paid a variable rate of 1.8 percent on the first $200 and 1.2 percent on

Mathematics
1 answer:
dybincka [34]4 years ago
4 0

Interest paid by Linda is equal to $4.272 approximately equal to $4.27.

<u> Solution: </u>

Given that  

Rate of interest on first $200 = 1.8%

Rate of interest on any amount over $200 = 1.2%

Unpaid balance amount of Linda’s credit card bill = $256

Need to calculate interest paid by her on $256.

Unpaid balance = $256  

=$200 + 56

Amount over $200 = 56

Interest paid on first $200 = 1.8% of 200

= 0.018 x 200 = $3.6

Interest paid on amount over $200 that is $56 = 1.2% of 56

= 0.012 x 56 = $0.672

So total interest paid on $256 = 3.6 + 0.672 = $4.272.

Hence interest paid by Linda is equal to $4.272 approximately equal to $4.27.

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M=(4,-3)\qquad D=(-6,-1)\qquad T=(7,-8)\\\\\\&#10;|MD|=\sqrt{\big(-6-4\big)^2+\big(-1-(-3)\big)^2}=\sqrt{\big(-10\big)^2+\big(-1+3\big)^2}=\\\\=\sqrt{100+2^2}=\sqrt{104}\approx\boxed{10.2}\\\\\\\\&#10;|DT|=\sqrt{\big(7-(-6)\big)^2+\big(-8-(-1)\big)^2}=\sqrt{\big(7+6\big)^2+\big(-8+1\big)^2}=\\\\=\sqrt{13^2+(-7)^2}=\sqrt{169+49}=\sqrt{218}\approx\boxed{14.8}\\\\


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So the perimeter:

P_{\Delta MDT}=|MD|+|DT|+|TM|\approx10.2+14.8+5.8=\boxed{30.8}

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