1.)A picture 8 in. by 12 in. is placed in a frame which has a uniform width. if the area of the frame is equal to the area of the picture, find the dimension of the frame
2.)Arman has 1160 annual income from bonds bearing 3% and 5 % interest. then he added 25% more of the 3% bonds and 40% more of the 5 % bonds, thereby increasing his annual income by 410. find his initial investment in each type of bond
i have a couple of problems like these,please help--show me the formulas and solutions to these so i can study how it's done
thank YOU so much
picture area = 8x12 = 96
If the frame has width w, then the total framed area is
(8+2w)(12+2w) = 96+96
now just solve for w and get the new dimensions
If the 3%=x and the 5% = y, then
.03x + .05y = 1160
.02(1.25x) + .05(1.40y) = 1160+410
now just solve for x and y.