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Sliva [168]
2 years ago
15

Please Answer ASAP

Mathematics
1 answer:
Yuki888 [10]2 years ago
5 0

Michelle's  balance after 8 years is $10,790.48.

Kristen's balance after 8 years is $3,770.55.

Gabriella's balance after 8 years is $24,780.42.

Judy's balance after 8 years is $3618.62.

The person with the most money at the end of the 8 years is Gabriella. If I were to choose one of the options, I would choose Gabriella's option

<h3>What is Michelle's balance after 8 years?</h3>

The formula that can be used to determine the future value of an amount with compounding is:

FV = P (1 + r)^nm

Where:

  • FV = Future value
  • P = Present value
  • R = interest rate / number of compounding
  • m = number of compounding
  • N = number of years

Future value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18

Future value with continuous compounding =  : A x e^r x N

  • A= amount
  • e = 2.7182818
  • N = number of years
  • r = interest rate

1000 x e^0.018 x 8 = $8,145.30

Total = $8,145.30 + $2645.18 = $10,790.48

<h3>What is Kristen's balance after 8 years?</h3>

Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50

Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05

Total = $3,770.55

<h3>What is Gabriella's balance after 8 years?</h3>

$3000 x e^0.032 x 8 = $24,780.42

<h3>What is Judy's balance after 8 years?</h3>

Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82

Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80

Total = $3618.62

To learn more about future value, please check: brainly.com/question/18760477

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Answer:

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Step-by-step explanation:

as a decimal it is 1.71428571429 and as a mixed number it is 1 5/7

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The answer to this question would be the last choice (this data has no outliers)

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For example, if I had the numbers 1,2,3,2,9,5,7,5,8,4 and 47, 47 would definitely be an outlier as it's significantly greater than the rest of the data.

The data shown in your question doesn't vary a lot though, (it's contained within a range of 65 and 80- no number seems to be radically different).  

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20 This spinner will be spun twice. What is the probability of
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Answer: the probability is 0.25

Step-by-step explanation:

We have 10 numbers:

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The probability that the outcome is an odd number is equal to the number of odd numbers divided the total number of numbers:

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For the second spin the probability is the same, p = 5/10, because the first outcome does not affect the results of the second spin.

The probability of spining an odd number both times, then is the joint probability for two times this same event:

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3 years ago
Each of the line segments in the word MATH are numbered in the graph below. Find the slope (as a ratio of rise over run) of each
emmasim [6.3K]

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = \frac{4}{3}

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slope = \frac{8 - 4}{-5 -(-8)}

slope = \frac{8 - 4}{-5 + 8}

slope = \frac{4}{3}

9. Line 3 = \frac{4}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

slope = \frac{8 - 4}{-2 -(-5)}

slope = \frac{8 - 4}{-2 + 5}

slope = \frac{4}{3}

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = \frac{7}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

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13. Line 7 = 0

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14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

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Lets think of it this way:-

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