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k0ka [10]
3 years ago
5

51 divided by 3 is k. Solve for k. k =

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
5 0
17 ... 51 divided by 3 is 17
vitfil [10]3 years ago
5 0

k is 51/3. What's 51/3 simplified? 17.

So, k = 17.

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uranmaximum [27]

Answer:

\dfrac{dy}{dx}=\dfrac{10-e^y}{(xe^y+3)}

Step-by-step explanation:

Given:

The implicit equation is given as:

xe^y-10x+3y=0

In implicit differentiation, we treat 'y' as a function of 'x' and differentiate both sides of the equation with respect to 'x' and then collect all the \frac{dy}{dx} together and finally solve for \frac{dy}{dx}.

So, differentiating both sides of the above equation with respect to 'x'. This gives,

\frac{d}{dx}(xe^y-10x+3y)=\frac{d}{dx}(0)\\\\\frac{d}{dx}(xe^y)+\frac{d}{dx}(-10x)+\frac{d}{dx}(3y)=0\\\\\textrm{Using product rule, (uv)' = uv' + vu'}\\\\(x\cdot e^y\cdot \frac{dy}{dx}+e^y\cdot 1)-10\cdot1+3\frac{dy}{dx}=0\\\\\frac{dy}{dx}(xe^y)+e^y-10+\frac{dy}{dx}(3)=0\\\\\textrm{Grouping}\ \frac{dy}{dx}\textrm{ terms together}\\\\\frac{dy}{dx}(xe^y+3)+e^y-10=0\\\\\frac{dy}{dx}(xe^y+3)=10-e^y\\\\\dfrac{dy}{dx}=\dfrac{10-e^y}{(xe^y+3)}

Therefore, the derivative \frac{dy}{dx} implicitly is:

\dfrac{dy}{dx}=\dfrac{10-e^y}{(xe^y+3)}

5 0
3 years ago
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Anastasy [175]

Answer:

0.6845% per week.

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r = 0.00684463

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The interest rate required to get a total amount, principal plus interest, of $15,000.00 from simple interest on a principal of $2,500.00 over 14.05 years (730.5 weeks) is 0.6845% per week.

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3 years ago
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Answer:

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hope this helps you

4 0
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