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3 years ago

On the day that Tony was born his grandmother invested $2200 in a certificate of deposit that pays a 3% interest

Mathematics

1 answer:

galben [10]3 years ago

3 0

Answer:

$3530.3541

Step-by-step explanation:

Given that:

Principal = 2200

Interest rate compounded annually (r) = 3%

Time (t) = 16 years

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

A = 2200(1 + 0.03)^16

A = 2200(1.03)^16

A = 2200 * 1.60470643909878751793

A = $3530.3541

Hence, amount in account on his 16th birthday will be $3530. 3541

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Associations In Data:Question 10

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Answer:

$\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9$

$|62-78.9| = 16.9$

$|63-78.9| = 15.9$

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$|72-78.9| = 6.9$

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$MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}$

And replacing we got:

$MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12$

And the best anwer is

10.12

Step-by-step explanation:

We have the following data given:

62 63 68 72 79 80 83 93 94 95

And we need to begin finding the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9$

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$|62-78.9| = 16.9$

$|63-78.9| = 15.9$

$|68-78.9| = 10.9$

$|72-78.9| = 6.9$

$|79-78.9| = 0.1$

$|80-78.9| = 1.1$

$|83-78.9| = 4.1$

$|93-78.9| = 14.1$

$|94-78.9| = 15.1$

$|95-78.9| = 16.1$

And finally we can find the mean abslute deviation with the following formula:

$MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}$

And replacing we got:

$MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12$

And the best anwer is

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