Let x be the amount he invests at 6%
1280 = 0.06x + 0.07(20000 - x)
1280 = 0.06x + 1400 - 0.07x
1280 - 1400 = -0.01x
-120 / -0.01 = x
x = 12000
Therefore, he invests $12,000 at 6% and $8,000 at 7%
Answer:
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Answer:
A
Step-by-step explanation:
It would be A, because the two bisector lines that cut through this trapezoid are the same length, so 5.9-4.1=1.8. So the length of RN would be 1.8. Hope this helps!
Answer:
Step-by-step explanation:
Let the numbers be x and y.
<u>The equations are:</u>
<u>Add up the equations to eliminate y and solve for x:</u>
- x - y + 2x + y = 2 + 13
- 3x = 15
- x = 15/3
- x = 5
<u>Now find the value of y:</u>
- y = x - 2
- y = 5 - 2
- y = 3
The function is f(x)= (7x-m)/(2-nx)
<span>the vertical asymptote is x=6, that means 2/n = 6 or n=1/3
</span>
And now, we have f(x)=(7x-m):(2-1/3x)= (14x-2m): (6-x)
<span>the x-intercept is 5 and we have y=0, x=5. So we obtain 0=(70-2m):(6-5)
or 70-2m=0, m=35
Conclusion m=35 and n=1/3</span>