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jolli1 [7]
3 years ago
15

.

Mathematics
1 answer:
USPshnik [31]3 years ago
4 0

Answer:

  • $17,500 at 8%
  • $17,500 at 14%

Step-by-step explanation:

The fraction that needs to be invested at the higher rate is ...

  (11% - 8%)/(14% -8%) = 3%/6% = 1/2

Half the money should be invested at each of the rates:

  $17,500 for 8% return

  $17,500 for 14% return.

_____

If you let x represent the amount at the higher rate, then the total return is ...

  14%x + 8%(35000 -x) = 11%(35000)

  (14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000

  x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x

Note that this formula is exactly the one we started with, above.

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viktelen [127]

Answer:

The population of this city in 13 years is 440,550.

Step-by-step explanation:

Given:

Suppose a city with population 300, 000 has been growing at a rate of 3​% per year.

Now, to find the population of this city in 13 years.

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Now, we put formula to get the population of the city in 13 years:

A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.

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3 0
3 years ago
What is the length of if ?<br><br> 8 in.<br> 8.75 in.<br> 10.25 in.<br> 14 in.
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Answer:

A=8.75 in.

Step-by-step explanation:

Since ∆ HBA & ∆HKJ are similar,  

HB/HA = HK/HJ  

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3HJ = 42  

HJ = 14 in.

AJ = 14 - 5.25  

AJ = 8.75 in.

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A=8.75 in.

I hope this helped you.

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