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Vika [28.1K]
3 years ago
10

Lauren is going to invest in an account paying an interest rate of 3.4% compounded

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

Answer:

P = $9948.99

Step-by-step explanation:

Use the compound amount formula A = P(1 + r)^t, with A = $13,000, t = 8 yr and r = 0.034.  Find the principal amount P.

Solving A = P(1 + r)^t for P, we get:

         $13,000           $13,000

P = -------------------- = --------------- = $9948.99

      (1 + 0.034)^8         1.3067

Lauren needs to invest $9948.99 for this purpose.

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A computer can sort x objects in t seconds, as modeled by the function
r-ruslan [8.4K]

Answer:

  36 objects

Step-by-step explanation:

You want the value of x when t=9, so you're solving ...

  9 = 0.007x^2 +0.003x

  9 = 0.007(x^2 + 3/7x)

From here, we observe that an approximation is probably sufficient.

 9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2

  x ≈ 3/√.007 ≈ 35.9 ≈ 36

We can check:

  .007(36)(36 3/7) = 9.18

  .007(35)(35 3/7) = 8.68

To keep the computer busy for 9 seconds, it needs to sort 36 objects.

 

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3 years ago
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Annette [7]

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3 years ago
The sloped roof of a house that is right beside its property line can be represented by the inequality −|x − 2| + 9 > 6. Solv
lesya692 [45]

Answer:

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Step-by-step explanation:

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3 years ago
Math 7. Subtracting linear expressions.
murzikaleks [220]
I hope this helps you




-6x-6+2x+9



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3 years ago
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