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ioda
3 years ago
12

What is the next term of the geometric sequence? 27/16, -9/4 3

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0
I think answer should be 21
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Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,
kipiarov [429]

9514 1404 393

Answer:

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

  A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

  2 = (1 +r/n)^(nt)

  ln(2) = nt·ln(1+r/n)

  t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

__

For continuous compounding, the formula is ...

  A = Pe^(rt)

  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

__

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

5 0
3 years ago
Guests at your party will get a treat bag when they leave. You purchase 12 packs of baseball cards with cards in each pack. You
zmey [24]

Answer:

StartFraction 12 n over r EndFraction or A

Step-by-step explanation:

8 0
3 years ago
Write an equation to represent this line in point slope and slope intercept form....need help please..thanks.
GrogVix [38]
We can use rise over run to determine the slope is 5/8. Using this slope and the point (5,2) we can write the equation: y-2 = 5/8 (x-5) 

Decimal form of 5/8 is .625 , so it could be written y-2 = .625*(x-5)
5 0
3 years ago
13. Find the range of the function on the graph<br> below.
aliina [53]

Range is ] -20 , -10 [

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4 0
2 years ago
1/2 X plus X -15+1/2 X +100+ X -25 equals 540
Andrew [12]

Answer:

1/2 X + X -15 + 1/2 X + 100 + X -25 = 540

1/2x + x + 1/2x + x -15 + 100 -25 = 540

3 x + 60 = 540

3x + 60 - 60 = 540 - 60

3/3x = 480/3

x = 160

Step-by-step explanation:

1/2 X + X -15 + 1/2 X + 100 + X -25 = 540

1/2x + x + 1/2x + x -15 + 100 -25 = 540

3 x + 60 = 540

3x + 60 - 60 = 540 - 60

3/3x = 480/3

x = 160

7 0
3 years ago
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