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Sveta_85 [38]
3 years ago
9

A bank offers a money market account paying 4.9% interest compounded semiannually. A competing bank offers a money market accoun

t paying 4.8% interest compounded daily. Which account is the better investment?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
Assume $1000 at 4.9% semi-annually = <span>$1,049.60
Assume $1000 at 4.8% daily = </span><span> $1,049.17

Let's try a bigger number $50'000 </span>4.9% semi-annually<span> $52,480.01
</span>                                           $50,000 4.8% daily = <span>             $52,458.37
It's a wash, the question is how long will you be investing, that might make a difference. I calculated 12 Millions over 6 years and bank A would be the better choice. Semi-annual compounded at 4.9%</span>
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We start by calculating the assessed value, that is 41% of the price.

The price is $92,000.

Then, the assessed value is:

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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kobusy [5.1K]

Answer:

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