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4 years ago

How do you find the Median Absolute and Deviation

Mathematics

1 answer:

Ivenika [448]4 years ago

4 0

Answer:

Calculate Mean Absolute Deviation (M.A.D)

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.Find the sum of the data values, and divide the sum by the number of data values.Find the absolute value of the difference between each data value and the mean: |data value – mean|.

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3 years ago

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4 years ago

A sum of money is placed at simple interest for 3 years at 10% annum and then the amount is invested for 3 years at the same rat

fgiga [73]

Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

$I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X$

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

$A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000$

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

$A=P(1+i)^n\\\\=471900\times1.1\\\\=519090$

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

$I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000$

Hence, the total amount of the investment after first 3 yrs is $390,000

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4 years ago