Answer: $7800 was invested at 9%
$5900 was invested at 3%
Step-by-step explanation:
Let x represent the amount invested in the fund that paid a dividend of 9%.
Let y represent the amount invested in the fund that paid a dividend of 3%.
Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that
0.09x + 0.03y = 879- - - - - - - - - 1
This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that
0.1x + 0.01y = 839 - - - - - - - - - -2
Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes
0.009x + 0.003y = 87.9
0.009x + 0.0009y = 75.51
Subtracting, it becomes
0.0021y = 12.39
y = 12.39/0.0021
y = 5900
Substituting y = 5900 into equation 1, it becomes
0.09x + 0.03 × 5900 = 879
0.09x + 177 = 879
0.09x = 879 - 177
0.09x = 702
x = 702/0.09
x = 7800
Answer:
D
Step-by-step explanation:
Allright to find this you have to put the equation into order again. The equation of a line is y=mx+c. M= Gradient. C = Y intercept. After you put it in order you just have to read it. If you need the answers comment ill find them...
Interesting question. Let's see.
Rectangular Prism: any box (like a shoe box or a packing box).
Triangular Prism: We're not supposed to give personal answers, but I can't help it with this. When I was growing up, our front door's window had a triangular prism beveled around its edges. What made it so remarkable was that it broke up the light into a rainbow of colors on the floor.
Cylinder. Many drinking glasses are in the shape of a cylinder. Also old fashioned water towers were cylindrical in shape.
Cone: a kitchen funnel is an upside down cone. Some funnels don't have a spout, so that makes them true cones.
Pyramid: The pyramids for the Pharaohs in Egypt.
Sphere: Any ball (beach ball, baseball basketball soccer. Some storage shapes for spices -- technically not a perfect sphere). Planets. The sun. (The earth is almost a perfect sphere).