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Lelu [443]
2 years ago
5

Find the 9th term of the geometric sequence 8 , 32 , 128

Mathematics
1 answer:
Ksju [112]2 years ago
8 0

Answer:

the pattern seems to be to multiply by 4 so the answer would be 524,288

Step-by-step explanation:

8×4= 32×4= 128×4= 512×4= 2048×4= 8192×4= 32768×4= 131072×4= 524,288

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5 0
3 years ago
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Derrick will need $39,500 in 10 years for college tuition. How much should his parents invest now at 9.5% annual interest, compo
erastova [34]

Answer:

His parents should invest $15,278.16 to reach this goal ⇒ 4th answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Derrick will need $39,500 in 10 years for college tuition

∴ The future amount is $39,500

∴ The time for investment is 10 years

- P is the money his parents invest now at 9.5% annual interest,

 compounded daily

∴ The rate is 9.5% per year compounded daily

- The formula of the compounded interest is:

  A=P(1+\frac{r}{n})^{nt} , where

# A is the future value of money

# P is the value of investment

# r is the rate of interest in decimal

# t is the time of investment

# n is the period of the time

∵ A = $39,500

∵ t = 10

∵ r = 9.5/100 = 0.095

∵ n = 365 ⇒ compounded daily

- Lets use the formula above to find P

∴ 39500=P(1+\frac{0.095}{365})^{365*10}

∴ 39500=p(2.58539)

- Divide both sides by 2.58539

∴ P = $15278.16

∴ His parents should invest $15,278.16 to reach this goal

7 0
3 years ago
Please help i have to turn in in 8 mins....thanks :)
pychu [463]

6√3

Step-by-step explanation:

6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3

6 0
2 years ago
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Answer:

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Step-by-step explanation:

It cuts axis at 0.5

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3 years ago
Solve 3x+2y=4 4x+3y=7 algebraically
Leona [35]
Step 1. Multiply first equation with -3 and the second one with 2. You'll get:
\left \{ {{-9x-6y=-12} \atop {8x+6y=14}} \right.

Step 2. Add both equations together. You'll get:
-x=2, which gives x = -2

Step 3. Replace x = -2 in the first equation and calculate y.
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The solution is: x=-2, y=5
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3 years ago
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