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shepuryov [24]
3 years ago
8

Polly planted a magnolia in her front yard. When she planted the tree it was 8 feet tall. Every 2 year. She measured the height

of the tree. Her tree grew 5 feet every 2 years
Mathematics
1 answer:
kompoz [17]3 years ago
6 0

Answer:

Y = 2.5X + 8

Y: height (in feet)

X: time (in years)

Step-by-step explanation:

Height = 8 + 5(t/2)

= 8 + 5t/2

Height = 8 + 2.5t

Y = 2.5X + 8

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What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
  • Account Balance = ?
  • Principle Amount = $1000
  • Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

  • Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

  • Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

  • A = P(1 + \frac rn)^{nt}
  • A = 1000(1 + \frac {0.02}{6})^{6*15}
  • A = 1000(1 + 0.00333...)^{90}
  • A = 1000(1.00333...)^{90}
  • A = 1000(1.145743)
  • A \approx 1457.43

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0
1 year ago
I need help ASAP!!
Studentka2010 [4]

Answer:

  D.  (x-5)^2 = 36

Step-by-step explanation:

If you add 11 to the given equation, you get ...

  x^2 -10x = 11

Then you can add the square of half the x-coefficient to complete the square.

  x^2 -10x +25 = 11 +25

  (x -5)^2 = 36 . . . . simplify to the appropriate form

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11 hours and 15 minutes to drive 500 miles
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borishaifa [10]
I don’t understand your question, can you give more details please
5 0
2 years ago
-3x minus 2 minus -6x = -4 minus -4x plus 12
DochEvi [55]

-3x-2-6x=-4-<em>(-4x)</em>+12

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7x=14

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You probably got confused with the italicized part.

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