Answer:
$25.55
Step-by-step explanation:
7.30*2.50=18.25
7.30+18.25=25.55
<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
<u>x / 5 = y</u>
Multiply each side by 5 : x = 5y
Multiply each side by 2 : <em>2x = 10y</em>
Answer:
Step-by-step explanation:
In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)
The angle marked 40 degrees has an adjacent side of 
and the hypotenuse of the triangle is 60.
Therefore, we have the equation:
Answer:
It takes 5 days to process an application.
Step-by-step explanation:
We have that number of requests per month would be equal 1600
Now, the applications in hand would be:
160 + 240 = 400
They tell us that everything must be in a number of 20 business days, therefore, the number of applications in one day would be:
1600/20 = 80
Which means that the time needed to finish an application is:
400/80 = 5 days
It takes 5 days to process an application.
