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tangare [24]
3 years ago
13

At the beginning of every year molly deposits 200 in a savings account thst offers 20% interest annually. The total amount molly

woukd have in her account after 3 years is? I got 345.60 but wrong?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0
3 years
200 * (1.2)^3 = <span> <span> <span> 345.6</span></span></span>0

2 years
200 * (1.2)^2 = 288.00

1 years
200 * 1.2^1 = 240.00

It seems you calculated 200.00 for 3 years.
You need the total which equals:
<span> <span> 345.6</span></span>0 + 288.00 + 240.00
= 873.60

There is a formula for this:
Total = Amount * ([(1+rate)^(years+1) -1] / rate) - amount
Total = 200 * ([(1.20^4) -1] / .20) - 200
Total = 200 * [( <span> <span> <span> 2.0736 </span> </span> </span> -1) / .20] -200
Total = 200 * ( <span><span><span>1.0736 </span> </span> </span> / .20) - 200
Total = 200 *  <span> <span> <span> 5.368 </span> </span> </span> -200
Total = <span> <span> <span> 1073.6 </span> </span> </span> -200
Total = 873.60


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We are given that Mr. Green teaches mathematics and his class recently finished a unit on statistics.

<u>The student scores on this unit are:</u>  40, 47, 50, 50, 50, 54, 56, 56, 60, 60, 62, 62, 62, 63, 65, 70, 70, 72, 76, 77, 80, 85, 85, 95.

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               n = Number of observations = 24

So, Mean  =  \frac{40+ 47+ 50+ 50+ 50+ 54+ 56+ 56+ 60 +60+ 62+ 62+ 62+ 63+ 65+ 70+ 70+ 72+ 76+ 77+ 80+ 85+ 85+ 95}{24}

=  \frac{1547}{24}  =  64.46

So, mean of data si 64.46.

For calculating Median, we have to observe that the number of observations (n) is even or odd, i.e.;

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                     Median  =  (\frac{n+1}{2})^{th} \text{ obs.}

  • If n is even, then the formula for calculating median is given by;

                     Median  =  \frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.}   }{2}

Now here in our data, the number of observations is even, i.e. n = 24.

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Hence, the median of the data is 62.

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In our data, there are two values which appear maximum number of times, i.e. 50 and 62 as these both appear maximum 3 times in the data.

This means our data is Bi-modal with 50 and 62.

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Hence, range of the data is 55.

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