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dedylja [7]
3 years ago
8

The Humane Society has puppies for adoption. The weights, in pounds, of the puppies currently at the Humane Society are 17, 14,

13, 15, 21, 39, 18, 22, and 14. (a) Create a stem-and-leaf plot of the weights of the puppies. (b) What is the weight difference between the heaviest puppy and the lightest puppy? (c) How many puppies are currently at the Humane Society? What weight interval has the most puppies? What fraction of the total does this interval represent?
Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer

A) Stem Leaf

1 3 4 4 5 7 8

2 1 2

3 9

B) The difference is 26

C) There are 9 puppies, the first interval has the most

Step-by-step explanation:

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Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

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

<h3>Given Information</h3>
  • Account Balance = ?
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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%.

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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.

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<h2>Solve </h2>

Solve by plugging in the given values into the formula.

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  • A = 1000(1 + \frac {0.02}{6})^{6*15}
  • A = 1000(1 + 0.00333...)^{90}
  • A = 1000(1.00333...)^{90}
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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.

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Step-by-step explanation:

(x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5  - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70

Formula used =

(a-b)^2 = a^2+ 2ab + b^2

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Step-by-step explanation:

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