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4 years ago

How are the graphs of y = -3x and y = 3x related?

Mathematics

1 answer:

ki77a [65]4 years ago

6 0

The slope of y = 3x is 3, and the slope of y = -3x is well, yes, you guessed it, is -3, same value, just different sign, and when that happens the slopes are just mirroring each other, in this case, the mirror line, line of symmetry, is the y-axis, notice in the picture below.

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4 · 6 = 3 · 8

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Step-by-step explanation:

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3 years ago

If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment

Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = $\frac{0.054}{12}= 0.0045$

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest

First compute the Equated monthly installments (EMI) as follows:

$EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21$

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$Interest=P\times r\\=15000\times0.0045\\=67.5$

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest

= 453.21 - 67.5

= 385.71

Thus, the amount that will go towards the balance is 385.71.

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