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sammy [17]
3 years ago
7

Lucy earned $400 and $550 in interest the last 2 years. Describe the average interest she should earn in each of the next 3 year

s so that her total earnings over the 5-year period are at least $2300. A) She must average $450 per year. B) She must average $900 per year. C) She must average $1350 per year. D) She must average $1800 per year.
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Answer:

If she gets 450 for 3 years plus 400 plus another 500 she would get exactly 2300.  

Step-by-step explanation:

450 x 3 = 1350 + 550 = 1900 + 400 = 2300

(450 x 3) + 550 + 400 = 2300


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Step-by-step explanation:

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As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel

Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm

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