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FrozenT [24]
3 years ago
8

Please help me I dont get this :( number 4

Mathematics
1 answer:
jonny [76]3 years ago
4 0
[x = amount earning 6% annually.]
(8000-x) = amount earning 15% annually
Then we set up our equation which is a sum of the 15% return and the 6% return and we let that sum equal our desired return on investment ($930). Then solve for x.
(8000-x)*.15 + x*.06 = 930
1200 - .15x + .06x = 930
.09x = 270
x = 3000.
Therefore, you should invest $3000 at 6% and $5000 at 15% to earn $930 annually.
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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
3 years ago
14. Determine whether x3 is O(g(x)) for each of these functions g(x). a) g(x) = x2 b) g(x) = x3 c) g(x) = x2 + x3 d) g(x) = x2 +
ad-work [718]

Answer:

Answer and explanation with steps are in the following attachments

Step-by-step explanation:

7 0
3 years ago
Is it C or no? Can u help please
Westkost [7]
 the answer is Probably C.

7 0
3 years ago
1/7 / 4 as a fraction
aleksandrvk [35]
1/7/4 is a fraction.
6 0
3 years ago
Read 2 more answers
Desmond brought a 70 feet roll of copper for 14.70 what is the price per foot
alekssr [168]
70 / 14.7 = 4.8
the correct answer is 4.8
Hope I helped. =)
4 0
3 years ago
Read 2 more answers
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