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PSYCHO15rus [73]

2 years ago

14

Ralph Chase plans to sell a piece of property for $155000. He wants the money to be paid off in two ways - a short-term note at

9% interest and a
long-term note at 7% interest. Find the amount of each note if the total annual interest paid is $12550.

1 answer:

Neporo4naja [7]2 years ago

6 0

Answer:

7% = 70.000

9% = 85,000

Step-by-step explanation:

Two equations can be derived from this question

x + y = 155,000 equation 1

0.09x + 0.07y = 12,550 equation 2

where y = amount invested in 7% note

x = amount invested in 9% note

multiply equation 1 by 0.09

0.09x + 0.09y = 13,950 equation 3

subtract equation 2 from 3

0.02y = 1400

y = 70,000

substitute for y in equation 1

70,000 + x -= 155,000

x = 155,000 - 70,000

x = 85,000

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Answer:

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see the attached figure to better understand the problem

Step-by-step explanation:

we have

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we Know that

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step 1

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The formula to calculate the midpoint between two points is equal to

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step 2

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Part B) Find the equation of the right bisector of LP

we Know that

The right bisector is perpendicular to LP and passes through midpoint segment LP

step 1

Find the midpoint segment LP

The formula to calculate the midpoint between two points is equal to

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we have

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substitute the values

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step 2

Find the slope of the segment LP

The formula to calculate the slope between two points is equal to

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we have

L(-3, 6) and P(1, -8)

substitute the values

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Find the slope of the perpendicular line to segment LP

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

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we have

$m_1=-\frac{7}{2}$

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Find the equation of the line in point slope form

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$m=\frac{2}{7}$

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Find the slope of the segment LP

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step 2

Find the slope of the perpendicular line to segment LP

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we have

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step 3

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step 4

Convert to slope intercept form

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$y=\frac{2}{7}x-\frac{6}{7}+2$

$y=\frac{2}{7}x+\frac{8}{7}$

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