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Tju [1.3M]
3 years ago
14

Find the four arithmetic means between -21 and -36.

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0
The numbers given in the problem above are part of an arithmetic sequence with first and sixth terms equal to -21 and -36, respectively. Firstly, calculate for the common difference (d).
 
                                    d = (-36 - -21) / (6 - 1) = -3

The arithmetic mean is calculated by adding -3 to the term prior to it. 

            a2 = -21 + -3 = -24               a3 = -24 + -3 = -27
            a4 = -27 + -3 = -30               a5 = -30 + -3 = -33

Thus the four arithmetic means are -24, -27, -30, and -33.
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We start by calculating the assessed value, that is 41% of the price.

The price is $92,000.

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AV=a\cdot P=\frac{41}{100}\cdot92000=0.41\cdot92000=37720

The property tax rate is $39.50 per $1000 of assessed value, so we can express this rate as:

\text{tax rate}=\frac{39.50}{1000}=0.0395

We then can multiply this rate by the assessed value to calculate the total property tax:

\text{tax}=0.0395\cdot37720=1489.94

NOTE: we could have also multiplied 39.50 by 37.72. The value 37.72 is the thousands of dollars of assessed value. We would have obtained the same result: 39.50*37.72=1489.94.

Answer: the property tax is $1,489.94.

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