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:
175<=12.5x+40
Step-by-step explanation:
She starts with 40 points already so you add in those 40 then since she gets 12.5 points per visit that is your x, so you set that as greater than or equal to 175
Answer:
15
Step-by-step explanation:
By the diagram, you can see the sum of segment AB and segment BC is segment AC. Adding the given expressions for AB and B is 
. Simplifying the equation 
, gives 
. Substituting in the equation for segment AC gives 15.
Answer:
14 units²
Step-by-step explanation:
The area of the shape = area of a triangle
Area of triangle = ½ × base × height
base = 7
height = 4
Plug in the value into the formula:
Area = ½ × 7 × 4
Area = ½ × 28
Area = 14 units²
