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The two angles together form a straight angle, i.e. an angle of 180 degrees. This means that

Sum like terms:

Subtract 27 from both sides:

Divide both sides by 9:

<span>Let us denote the amount of investment in the Fund B with x. We know that Fund B returned 8% and that in Fund A Nicole invested </span>$3000 less than the amount she invested in Fund B, so we can write: x-3000<span>Fund A returned 6%.
Interest = 2060
The percent has been converted by multiplying the equation by 100
8x+6(x-3000)= 2060*100
8x+6x-18000=206000
</span><span>14x=206000+18000
14x=224000
x=16000
Nicole invested in Fund B $16000 and in Fund A </span><span> $16000-3000=13000.</span><span>
</span>
Answer:
$11040
Step-by-step explanation:
first of all the question says that $4000 were earned in a year and asks for what the new vale would be after the next 3 years with a discount rate of 8%.
If 1 year=$4000,then 3 years=$12000
100%-8%=92% (this happens because there is still a remaining amount that still has a cost to it),so 12000*92%=$11040
Answer:

Step-by-step explanation:
The slope-intercept form is y = mx + b, where:
m = slope
b = y-intercept.
The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope
. So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).
Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).
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