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Minchanka [31]
3 years ago
14

Alex wants to have $2500 in his bank account after 2 years. if the account earns 5% interest compounded 2 times per year, how mu

ch should he put in? round to the nearest cent.
Mathematics
1 answer:
gavmur [86]3 years ago
5 0
You'll need to use this formula:
Principal = Total / [(1+ (rate/n))^n*years]
Where "n" is the number of compounding periods per year.
Principal = 2,500 / [(1+ (.05/2))^2*2]
Principal = 2,500 / (1.025)^4
Principal = 2,500 / <span> <span> <span> 1.1038128906 </span> </span> </span>
Principal = <span> <span> <span> 2,264.88 </span> </span> </span>

Source:
http://www.1728.org/compint3.htm



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Joanne has 20 books on crafts and cooking. she has 6 more cookbooks than craft books. how many of each does she have?​
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Answer:

Crafts books: 7

Cookbooks: 13

Step-by-step explanation:

Let x be the crafts book

Let y be the cookbooks

Solve for x:

  1. Plug x and y in: x + y = 20
  2. Re-write: y = x + 6
  3. Plug in x + 6 instead of y: x + x + 6 = 20
  4. Combine like terms: 2x + 6 = 20
  5. Subtract 6 from each side, so it now looks like this: 2x = 14
  6. Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 7

Solve for y:

  1. Re-use an equation from above: y = x + 6
  2. Plug in the value of x: y = 7 + 6
  3. 7 + 6 = 13
  4. So, y = 13

I hope this helps!

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Step-by-step explanation:

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