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Alenkasestr [34]
3 years ago
10

Assume that y varies inversely with x. If y=7 when x=2/3, find y when x=7/3

Mathematics
2 answers:
Anna11 [10]3 years ago
6 0

Answer:

When x= 7/3, y = 2.

Step-by-step explanation:

When two variables are inversely related, it means that if one variable increases, the other one decreases. This relationship can be expressed as:

y = k/x, where "x" and "y" are variables and "k" the proportionality constant.

As the problem states, if y= 7 then x = 2/3. Now we can find the value of the constant "k"

7 = k/(2/3) ⇒ 7 x (2/3) = k ⇒ 14/3 = k.

So the equation for "x" and "y" ⇒ y = 14/3x

Finally you have to replace x = 7/3

⇒ y = 14/[3 x (7/3)] ⇒ y = 2.

Summarizing, when x = 7/3, y = 2.

zepelin [54]3 years ago
3 0
Y=k/x
7=k/(2/3)
7=k(3/2)
times both sides by 2/3
14/3=k

y=(14/3)/x
y=(14/3)/(7/3)
y=(14/3)(3/7)
y=2
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<h3>How to solve the fraction?</h3>

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Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of rest
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Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using <em>simple interest</em>, after <u>t years</u>, with an <u>yearly interest rate of i</u> and an <u>initial investment of P</u> is given by:

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In this problem:

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  • Interest rate of 9.5% per year, hence i = 0.095.
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Item a:

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Item b:

For the second interest, we consider P = 11272.33, hence:

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A similar problem is given at brainly.com/question/13176347

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