Question

3. [-/3 Points] DETAILS WANEFM7 3.3.019. 0/8 Submissions Used MY NOTES The following question is based on the following information about the stocks of Whitestone REIT, HCC Insurance Holdings, Inc., and SanDisk Corporation. Price Dividend Yield (%) WSR 16 7 (WSR Whitestone REIT) HCC 56 2 (HCC Insurance Holdings, Inc.) SNDK 80 2 (SanDisk Corporation) You invested a total of $11,600 in shares of the three stocks at the given prices, and expected to eam $272 in annual dividends. If you purchased a total of 200 shares, how many shares of each stock did you purchase? shares WSR HCC shares SNDK shares Need Help? Read it Talk to a Tutor

Answer 1

let to shares purchased of WSR be na of HCC be y and SNDK bez, Z: 200 Hoo 56% Total purchased shaves , x+y+z= value of shares purchased, 16x+ 5by + 80z = $ 11,600 Dowictont = (Pruce pou steek) * (dividend yoxd)" (No. of shares) -- Expected total dividend, (0.07 X16)2 + (0.02)(56)y + (0.02)(80)2 =+ 272 tii). 1.12 x + 1o12y + 1.62 = 272 -Multiply by 100 1122+ 112y + 1602 = 27200 - Divide by 16 + 1 Oz - 1700 System of equations, x + y + z 167 +56y + 802= 11600 77 + 7y +102 = 1700 Using determinants to solve the to solve the above equation, 0 11 72+ Ty = 200 A= 1 56 (560-560)(1)-(160-560) (1)+(112 - 392) 6) Opening 16 80 400 – 280 7 7 10 determinando 120 about 200 1 0,- Row 1. = (560-560)(200) - (116000 – 136000)()+(81200- 95200)(1) 1 1600 56 80 1700 7. 10 20000 -14000 6000 200 - A 801 – (1(116000 – 136000) - 200/160 -560) + (27200 – 81200) 16 11600 7 1700 10 54000 20000 + 80,000 = 6000

1 43 = 200 16 56 11600 ។ 7 1700 Ca → Ca-G - 0 A3 = 200 16 40 11600 7 0 1700 Opening determinant About Ca Az = -0 + 40(1700-1400) - 0 13 12000 X+ = 4, . A2 y = z = 93 x = 6000 i Z = 12000 ; y = 6000 120 120 120 X = 50 ; y = 50 j Z=100 cije . WSR 50 shares HCC 50 shares SNDK 100 shares