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dolphi86 [110]
4 years ago
8

an investment is expected to pay 5 per year compounded continuously. If you want the value of the investment to be $700,000 afte

r 25 years, how much should you invest initially? Round to the nearest dollar
Mathematics
1 answer:
andre [41]4 years ago
8 0
The multiplier for continuous compounding is e^(rt). You want
  700,000 = P·e^(0.05·25) ≈ 3.490343P
Then
  700,000/3.490343 = P

You should invest $200,553 initially.
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Write 10x² + 3x -2=-1 in the form a(x+h)²+k clearly stating 
Fofino [41]

Answer:

Below in bold.

Step-by-step explanation:

10x² + 3x -2 = -1

10x^2 + 3x  - 1 = 0            Taking 10 out from the first 2 terms:-

10(x^2 + 0.3) - 1 = 0           Completing the square:

10[(x + 0.15)^2 - 0.15^2] - 1 = 0

10[(x + 0.15)^2 - 0.0225] - 1 = 0

10(x + 0.15)^2 - 0.225 - 1 = 0

10(x + 0.15)^2 - 1.225 = 0  is vertex form.

The vertex (turning point is at (-0.15, -1.225).

y- intercept is at the point where x = 0,

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So at (0, -1).

Solving for x:

10(x + 0.15)^2 - 1.225 = 0

(x + 0.15)^2 = 0.1225

x + 0.15 = +/- sqrt 0.1225

x = -0.15 +/- sqrt 0.1225

The roots are  -0.5, 0.2

7 0
3 years ago
Use the number line below to find the midpoint of AD
Arisa [49]
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spayn [35]

Answer:

x = 8

Step-by-step explanation:

I am assuming that you want to solve for x.

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Anuta_ua [19.1K]

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8 0
4 years ago
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