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valentina_108 [34]
3 years ago
9

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. (Use Pi = 3.14) SHOW WORK!

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

i just want some friends

Step-by-step explanation:

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You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon
sergejj [24]

Answer:

  $13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

  FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

  FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

  FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

  $1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

  A = P(r/12)/(1 -(1 +r/12)^(-12n))

  = $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0
3 years ago
Write an algebraic expression for each verbal expression <br><br> Nine divided by x
Gre4nikov [31]

Answer:

9÷x is the correct answer

5 0
3 years ago
Jalene lost 12 pounds in the first 3 weeks of his diet if he lost a total of 84 pounds how many weeks did it take him
sertanlavr [38]

Answer:

21 weeks.

Step-by-step explanation:

To start, you have to get the pounds lost per week.

12/3=4

4 pounds lost per week.

Next, find out how many weeks it takes by solving this equation,

4x=84

Divide 84/4=21

Therefore, it took 21 weeks to lose 84 pounds.

6 0
2 years ago
John haf 99 more stickers than Sally. Sally then gave John 36 more stickers. How many more stickers would John have than Sally i
densk [106]
Hi,

John haves 99 stickers. If Sally gave him 36 more that means john haves 99 + 36 = 135 more stickers than Sally.

Hope this helps.
r3t40
5 0
3 years ago
Choose the equation below that represents the line passing through the point (2, - 5) with a slope of −3.
ad-work [718]

Answer:

the equation of the line is y=-3x+1

have a great day! hope this helped :D

8 0
3 years ago
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