help with investment word problems

label Algebra
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Two investments totaling $38,500 produce an annual income of $2805. One investment yields 3% a year, while the other yields 9% per year. How much is invested at each rate?

Jul 25th, 2015

Thank you for the opportunity to help you with your question!

  total  money invested. $38500

  x+y=38500,

  total income  is $2805

   0.03*x+0.09*y=2805

Now...

   x=38500-y,

  0.03*(38500-y)+0.09*y=2805

  1155-0.03y+0.09*y=2805

   0.06*y=1650

   y=27500  

   x=38500-y

   x=11000  

 


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Jul 25th, 2015

A train leaves New York at 4:00 pm. A second train leaves the same city traveling in the same direction at 6:00 pm. The second train travels 24 mph faster than the first. If the second train overtakes the first at 10:00 pm, what is the speed of the two trains?

Jul 25th, 2015

y=x+24

4y=6x

y= 3/2x

3/2x=x+24

x=48m/s

y=72m/s


Jul 25th, 2015

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