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katrin2010 [14]
3 years ago
6

Check (24, 144, 145) is a Pythagorean triplet

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
7 0

Answer:

4, 144, 145 are not Pythagorean triplets

Step-by-step explanation:

According tp Pythagoras theorem,

Sum of squares of two sides must be equal to square of the third side.

By Pythagoras theorem,

24^2 + 144^2 = 145^2

576 + 20736 = 21025

           21312 ≠ 21025

Numbers 24, 144, 145 does not satisfy the Pythagoras theorem.

So, 24, 144, 145 are not Pythagorean triplets.

Hence, checked.

Anuta_ua [19.1K]3 years ago
3 0

Answer:

  1. It is not a Pythagorean triplet
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Which of the following is the balance for a single $2700 deposit in an account with an APR of 4.5% that compounds interest month
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The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.

Step-by-step explanation:

The given is,

                     A single deposit amount - $ 2700

                                                       APR - 4.5%

                                            ( Compounded monthly )

                                                    Period - 7 years

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                 Formula to find future amount with an APR compounded monthly,

                                                          A = P(1+\frac{r}{n})^{nt}.......................(1)

                Where, A - Future amount

                             P - Initial deposit

                              r - Interest rate

                             n - Number of compounding in a year

                             t - No.of years

                From given,

                         P = $ 2700

                          r = 4.5%

                          n = 12                   (∵ For monthly n becomes 12 )

                           t = 7 years

                   Equation (1) becomes,

                                                           = 2700(1+\frac{0.045}{12})^{(12)(7)}

                                                           = 2700(1+0.00375)^{84}

                                                           = 2700(1.36945)

                                                           = 3697.52

                                                       A = $3697.52

Result:

              The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.

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