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Ivan
3 years ago
5

Two certificates of deposit pay interest at rates that differ by 4%. Money invested for one year in the first CD earns $175 inte

rest. The same principal invested in the other CD earns $315. Find the two rates of interest.
Mathematics
1 answer:
wolverine [178]3 years ago
5 0
We are told that the principle is the same for both investments so we can say:

315=P(r+4)/100 and 175=Pr/100 solving both for P you have:

P=31500/(r+4) and P=17500/r since P=P:

17500/r=31500/(r+4)

175(r+4)=315r

175r+700=315r

-140r+700=0

-140r=-700

r=5

So the rates are 5% and (5+4)=9%

check...

P(9/100)=315  and P(5/100)=175

P=31500/9 and P=17500/5

P=157500/45 and P=157500/45

So P=P

note:  P=$3500

3500(9/100)=$315

3500(5/100)=$175
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Biologists have found that the number of chirps some types of cricket make per minute depends upon the temperature this relation
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Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit

Step-by-step explanation:

Step 1

Using the point slope formulae for Linear functions , we have that

y - y1 = m(x - x1)

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And  

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Step 2 : Finding the slope , m

where x1=60

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m= (y2-y1)/ (x2-x1)

= (152- 92)/(75-60)

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Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and  the temperature

y - y1 = m(x - x1)

y - 92= 4(x - 60)

y - 92 = 4x -240

y = 4x - 240 + 92

y = 4x - 148

Step 3

To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)

y = 4(80) - 160

y = 320 - 148

y = 172 chirps/min at 80 degrees Fahrenheit

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