600+50+7 this is 657 in expanded form
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:
504 in cubed
Step-by-step explanation:
I am assuming this is a rectangular prism, since you did not show a picture.
l x w x h
14 x 4 x 9
14 x 36
504
For the first picture..........
|AB| |BD|
-----=-----
|AC| |DC|
x+8 10
-----=----
2x-5 14
10(2x-5)=14(x+8)
20x-50 = 14x+112
20x-14x = 112+50
6x = 162
x= 162/6
x=27.....
For the second picture.......
AD| |AC|
-----=-----
|DB| |CB|
3 4
--=---
x 7.5
4×X = 3×7.5
x = 22.5/4
x = 5.625....
