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antiseptic1488 [7]
3 years ago
15

Since 1972 the US. inflation rate has averaged 4.8 % per year . Use the approximate doubling time formula to estimate the doubli

ng time of prices caused by inflation.
Mathematics
1 answer:
Artemon [7]3 years ago
3 0

Answer:

14  3/4 years

Step-by-step explanation:

Let's assume compound inflation.  The appropriate formula for that is:

A = P(1 + r)^t.

If we represent current prices by P, then double that would be 2P:

2P = P(1 + 0.048)^t    Find t, the time required for prices to double.

Then:

2   =  1.048^t

Taking the natural log of both sides, we get:

ln 2 = t·ln 1.048, so that:

t = (ln 2) / (ln 1.048)   =   14.78

At 4.8 inflation, with annual compounding, prices will double in approx. 14 3/4 years.

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x + 4.3x \leq 125.75 is the inequality that describes this problem

<h3><u>Solution:</u></h3>

Given that Travis can spend no more  than $125.75 every month

To find: linear inequality that describes the problem

Let the amount spent on movies = x dollars

Given that Travis decided to spend 4.3 times as much  money on video games as he spends on movies

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