Answer:
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:
Simplify:
So, our exponential function is now:
Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:
Solve for <em>b</em>. Divide both sides by 20:
Therefore:
![b=\sqrt[6]{64}=2](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B6%5D%7B64%7D%3D2)
Hence, our function is:
Answer:
$33
Step-by-step explanation:
multiply 44 by 25 then divide by 100 to get $11 that's the amount that's being discounted so u subtract 44-11 ti get final answer
<span>2x-3y=18
when x = 3
2(3) - 3y = 18
6 - 3y = 18
-3y = 12
y = -4
so(3, -4) is the solution
answer
</span><span>(3,-4)</span>
Answer:
y = -1/4x - 3
Step-by-step explanation:
Halfway through would be:
(10 + 6 / 2, -13 + 3 / 2) --> (8, -5)
The slope of the line that goes through (10, 3) and (6, -13) is -13 - 3 / 6 - 10 = -16 / -4 = 4.
That means the slope of the line that is perpendicular would be the negative reciprocal of 4, which is -1/4.
Put this in point slope form with slope = -1/4 and point = (8, -5):
y + 5 = -1/4(x - 8)
y + 5 = -1/4x + 2
y = -1/4x - 3
Answer:The starting value is 20,300, and the value is decreasing by 9.5% each year.
Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.
A decrease by 9.5% corresponds to multiplying by 91.5% each year.
We write . We plug in 11 years for t.
$7,671.18
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Step-by-step explanation:
