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3 years ago

6

As part of his retirement planning, Mr. Jones purchases an annuity that pays 11.5% compounded quarterly. If the quarterly paymen

t is $1000, how much will Mr. Jones have saved in 6 years?

1 answer:

tiny-mole [99]3 years ago

5 0

Answer:

24000

Step-by-step explanation:

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13 erasers in your backpack is considered<br> a what?

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Hoarder of erasers :o

Is this suppose to be a riddle or sum

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3 years ago

An instructor in a college class recently gave an exam that was worth a total of 100 points. The instructor inadvertently made t

solniwko [45]

Answer:

B) Method 2 will increase the standard deviation of the students' scores.

Step-by-step explanation:

Given that an instructor in a college class recently gave an exam that was worth a total of 100 points.

The average score for his students was 43 and the standard deviation of the scores was 5 points.

And now he is considering two different strategies for rescaling the exam results of which:

Method 1 = Add 17 points to everyone's score.

Method 2 = Multiply everyone's score by 1.7 .

And we have to check what will be the impact of these methods on the standard deviation of the students' scores.

For this let us consider a simple example to understand this:

Firstly, Formula for calculating Standard Deviation = $\sqrt{\frac{\sum (X-Xbar)^{2}}{n-1}}$

Suppose,

X X - Xbar $(X - Xbar)^{2}$

3 3 - 6 = -3 -3 * -3 = 9

5 5 - 6 = -1 -1 * -1 = 1

10 10 - 6 = 4 4 * 4 = 16

<em>Mean of above data, Xbar</em> = $\frac{3+ 5+10}{3}$ = 6

<em>Standard Deviation of data </em>= $\sqrt{\frac{26}{3-1} }$ = 3.6055

Now let us suppose that we multiply each value of above data with 2 so the new data will be:

X X - Xbar $(X - Xbar)^{2}$

3*2 = 6 6 - 12 = -6 -6 * -6 = 36

5*2 = 10 10 - 12 = -2 -2 * -2 = 4

10*2 =20 20 - 12 = 8 8 * 8 = 64

<em>Mean of new data, Xbar </em>= $\frac{6+ 10+20}{3}$ = 12

<em>Standard Deviation of new data</em> = $\sqrt{\frac{104}{3-1} }$ = 7.2111

<em>Hence, we see that when we multiply any value to the data the standard deviation will increase and in other words it will multiplied by that value which value we multiplied with each data value i.e. when we multiply each data value with 2 the standard deviation also get multiplied by as </em>

3.6055 * 2 = 7.2111

Therefore option B is correct that Method 2 will increase the standard deviation of the students' scores.

<em>And on the other hand Similarly by adding any constant to the data the Standard Deviation will remain same. Therefore Method 1 will have no impact on standard deviation of the students' scores.</em>

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3 years ago

Terry Bergolt's bank granted him a single-payment loan of $4,400 at an interest rate of 6% exact interest. The term of the loan

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The correct answer is (b)

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3 years ago

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How many movies, m, can she download for $50?

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How much does it cost for one movie

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3 years ago

greg invested $20 and qudrupled his money in five years.sabrena also invested $20 and after five years the amount was eqaul to 2

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Answer:

The money of Greg after five years is $80

The money of Sabrena after five years is $160,000

So,The money of Sabrena is more than Greg after five years .

Step-by-step explanation:

Given as :

Greg invested $20 and quadrupled his money in five years

Let the quadrupled money after five years = $x

∵ quadrupled means the money becomes 4 times of previous

So, x = $20 × 4

i.e x = $80

So, The money of Greg after five years is $80

Again

Sabrena invested $20 and after five years money becomes 20 to the fourth power

Let the money after 20 to the fourth power = $y

So, y = $20^{4}$

i.e y = 160,000

So, The money of Sabrena after five years is $160,000

∵ Sabrena money is more than Greg money

Hence, The money of Sabrena is more after five years . Answer

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3 years ago