If the amount of money you invested in the first fund is x and the second fund y, then 9% (or 0.09 by moving the decimal 2 spots)*x+0.03*y=1047 since the first fund paid 9% and the second 3%. In addition, for this year, we get
0.1*x+0.01*y=811.
We also have 0.09*x+0.03*y=1047, so we can multiply the top equation by -3 and add it to the second to get -0.21x=-1386. Dividing both sides by -0.21, we get x=6600. In addition, since 0.1*x+0.01*y=811, we can plug 6600 in for x to get 660+0.01*y=811 and by subtracting 660 from both sides we get 0.01*y=151. Multiplying both sides by 100 (since 0.01*100=1), we get y=15100
Answer:
c is the correct answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).
The axis of symmetry is a vertical line located halfway between -3 and 2:
x = -1/2.
The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).
With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.
Answer:
The coordinates of B will be (3,-4).
Step-by-step explanation:
If a point on the coordinate plane reflects across the y-axis then its y-coordinate will not alter but the x-coordinate will change by its sign only.
Now, if B'(-3,-4) is the image of B after a reflection in the y-axis then we can say B is the image point when the original point is B'(-3,-4) after reflection in the y-axis.
Therefore, the coordinates of B will be (3,-4). (Answer)
Answer:
Ratio 1= 14:6
Ratio 2=21:9
Ratio 3=28:12
Step-by-step explanation:
7:3
7×2=14
3×2=6
=14:6
7×3=21
3×3=9
=21:9
7×4=28
3×4=12
=28:12
