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vodka [1.7K]
3 years ago
8

Based on the information below, choose the correct answers. Note: The monthly loan payment was calculated at 119 payments of $33

0.38 plus a final payment of $329.73. Loan Balance: $25,000.00 Loan Interest Rate: 10.0% Monthly Loan Payment: $330.38 Number of Payments: 120 Cumulative Payments: $39,644.95 Total Interest Paid: $14,644.95 On average, what dollar amount of each monthly payment is interest? $ What percent of the total payments is total interest? %
Mathematics
1 answer:
Margaret [11]3 years ago
6 0

Answer:

  • $122.04
  • 36.94%

Step-by-step explanation:

a) The amount of concern is ...

  (total interest)/(number of payments) = interest/payment

  $14,644.95/120 ≈ $122.04 . . . . amount of interest per payment

__

b) The ratio of concern is ...

  (total interest)/(total payments) × 100% = 14,644.95/39,644.95 × 100%

  ≈ 36.94% . . . . percent of total payments that is interest

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52/79

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The heights of a certain type of tree are approximately normally distributed with a mean height p = 5 ft and a standard
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Answer:

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an X value is found Z standard deviations from the mean mu if:

\frac{X-\mu}{\sigma} = Z

In this case we have:  \mu=5\ ft\sigma=0.4\ ft

We have four different values of X and we must calculate the Z-score for each

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Therefore, A tree with a height of 5.4 ft is 1 standard deviation above the mean.

⇒2^n^d statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean. (FALSE)

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Z=\frac{X-\mu}{\sigma}\\Z=\frac{4.6-5}{0.4}=-1

Therefore, a tree with a height of 4.6 ft is 1 standard deviation below the mean .

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For X =5.8 ft

Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.8-5}{0.4}=2

Therefore, a tree with a height of 5.8 ft is 2 standard deviation above the mean.

⇒4^t^h statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean. (TRUE)

For X =6.2\ ft

Z=\frac{X-\mu}{\sigma}\\Z=\frac{6.2-5}{0.4}=3

Therefore, a tree with a height of 6.2 ft is 3 standard deviations above the mean.

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3 years ago
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