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romanna [79]
3 years ago
14

Can anyone answer this question about angles!

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Isosceles triangle, angle P = angle Q.

3x + 10 = x + 52

2x = 42

x = 21

Congruent angles are both x+52=73 degrees.  Triangle angles add to 180 so

y = 180 - 73 - 73 = 34 degrees

Answer: 34

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If Betty makes monthly deposits at the end of each month in an account that earns 8% interest compounded monthly,
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9514 1404 393

Answer:

  (a) $254.08

  (b) $767.34

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Step-by-step explanation:

These questions are best answered by a financial calculator or app. Such are available for your phone or tablet. A spreadsheet also has built-in functions for making these calculations.

(a) FV = $40,000, i = 8% per year, n = 9 years (108 months), compounding 12 times per year. The monthly deposit needs to be $254.08.

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(b) Payment = $254.08, n = 3 months, i = 8%/year, compounding 12 times per year. FV = $767.34.

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(c) The sum of 108 payments of $254.08 is ...

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The interest earned is enough to bring the account value to $40,000, so is ...

  $40,000 -27,440.64 = $12,559.36

_____

<em>Additional comment</em>

The amount $254.08 is rounded down to the nearest cent, so the balance after 9 years will be $39,999.70, which is $0.30 short of $40,000. We used $40,000 as the final account balance, so overestimated the interest by $0.30.

There may be additional small changes in the values if you round interest to the nearest cent each month the way a financial institution would. It is hard to tell in these problems how accurate you're intended to be in your calculations.

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