Homework 2.6: inverses of Sc x a secure https://www.webassign. Assignment Respon

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Homework 2.6: inverses of Sc x a secure https://www.webassign. Assignment Responses submit?dep 15384498 My Notes o Ask Your o o/1432 points Previous Answers TanFin11 2.6044 The Carver Foundation funds three non-profit organizations engaged in alternate-energy research activities. From past d the proportion of funds spent by each organization in research on solar energy, energy from harnessing the wind, and energy from the motion of ocean tides is given in the accompanying table. Proportion of Money Spent Tides Wind Solar 0.1 organization I 0.6 0.3 organization II 0.4 0.3 0.3 organization III 0.2 0.6 0.2 follows, Find the amount awarded to each organization if the total amount spent by all three organizations on solar, wind, and research is as tidal (a) $9.8 million, $9.6 million, and $5.6 million, respectively X million Organization I x million organization II x million Organization III (b) $9.2 million, $7.5 million, and $4.3 million, respectively organization I million organization II organization III Need Help? Answerl Save Progress Practice Another version

Explanation / Answer

Let x1 x2 x3 be funds awarded to three organizations;

now Amount spent on solar is

0.6 x1 + 0.4 x2 + 0.2 x3 = $9.8m;

0.3 x1 + 0.3 x2 + 0.6 x3 = $9.6m;

0.1 x1 + 0.3 x2 + 0.2 x3 = $5.6m;

x1 = 6m;

x2 = 12m;

x3 = 7m;

0.6 x1 + 0.4 x2 + 0.2 x3 = $9.2m;

0.3 x1 + 0.3 x2 + 0.6 x3 = $7.5m;

0.1 x1 + 0.3 x2 + 0.2 x3 = $4.3m;

x1 = 8m;

x2 = 9m;

x3 = 4m;

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