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777dan777 [17]
3 years ago
14

Find the arc length of the semicircle.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0
180° because it is half of a full circle(360°)
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946 x 1/3<br>Please help!!​
Ede4ka [16]

Answer:

Sure! Your answer is about 315.33.

Step-by-step explanation:

If you want to figure this out by yourself, just open a calculator and do 946 * 0.33. You could also find this by dividing 946 by 3.

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3 years ago
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Lauren will make annual contributions in the amount of $4,770, on average, to a 401(k) over the next 34 years. Her employer will
fredd [130]

Answer:

  $610,297.11

Step-by-step explanation:

The problem seems to make several assumptions:

  • contributions are made at the end of each year
  • contributions and employer matching funds are not taxed until retirement
  • the 15% tax rate applies to the account balance amount at retirement

Of these, the last is least likely to be true in the United States.

___

Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.

  FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.

The amount deposited each year is ...

  $4770 + 0.60·4770 = $7630

Then the future value after 34 deposits is ...

  FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60

When this amount is reduced by the assumed 15% tax rate, it becomes ...

  $717,996.60 - 0.15·717,996.60 = $610,297.11

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2 years ago
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