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Lena [83]
2 years ago
14

Can i get some help pls i don't know how to write this equation

Mathematics
1 answer:
lyudmila [28]2 years ago
3 0

Answer:  x = (log(y) /(400 log1.0065) or x = log(initial cost)/1.126

Step-by-step explanation:  Take the log of both sides of your equation:

log(y) = log(400)(1.0065)^x

log (y) = log 400 + log(1.0065)^x

Subtract log(400) from both sides:

log(y) - log 400 = xlog(1.0065)

Divide both sides by log(1.0065)

[log(y) - log(400)]/log(1.0065) = x

Now, if you want to know how many years it will take for the guitar to be worth $200, replace y with 200 and solve.

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Dvinal [7]

Answer:

Answer: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Let n equal the number, and let x equal the smaller number. Let's put this into equation form to make everything easier to understand.

x < n

n = 2x + 3

n = 2x + 1

Note how n equals two different things. In other words, how can n equal 2x + 3, but also equal 2x + 1? The equations have different y-intercepts but the same slope, meaning there are no solutions, or points where the lines would intercept. The only answer that highlights this is the third option.

To further clear things up, let's go through the other answers to make sure we're correct.

Answer 1: Two situations do not describe the exact same line; all parts of the question are unique.

Answer 2: The equations do not have different slopes, so this reasoning is invalid.

Answer 4: The situations describe two equations with the same slope but different y-intercept, not the other way around. In equation form, 2 = 2, but 3 ≠ 1.

Therefore, the only correct answer is option 3.

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3 years ago
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