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Harrizon [31]
3 years ago
9

Your friend is 1.2 times taller than you. Your friend is 64.5 inches tall. How tall are you?

Mathematics
2 answers:
Amanda [17]3 years ago
7 0
You are X, if your friend is 1.2 times taller than you= 1.2X
That's why 64.5=1.2X
                   X=53.75
But you should write 53.8 inches tall. Because there is one number after point.
As a result, you are 53.8 inches tall
krok68 [10]3 years ago
6 0
You have to divide your friends weigh by 1.2 to get  the result. : if you were 1.2 times taller than they, you would multiply, so the oppisite is dividing!

so  it will be 64.5/1.2=53.75.


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Step-by-step explanation:

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A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra
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The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

                          Compounds money quarterly

                          Double your money in 10 years

Step:1

              Formula to calculate future investment with compounded quarterly,

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

              Where, A - Future amount

                           P - Initial investment\

                            r - Rate of interest

                            n - No. of compounding in a year

                             t - No. of years

Step:2

               Let, P = X

                      A = 2X ( Double your money )

              From given, n - 4 ( for compounding quarterly )

                                    t - 10 years

               From equation (1)

                                                        2X =X(1+\frac{r}{4} )^{(4)(10)}

                                                         \frac{2X}{X}  =(1+\frac{r}{4} )^{(4)(10)}

                                                            2  =(1+\frac{r}{4} )^{40}

          Take root 40^{th} root on both side,

                                                         \sqrt[40]{2} = (1+\frac{r}{4} )

                                            1.017479692 = (\frac{4+r}{4} )

                                     (1.017479692)(4) = (r+4)

                                                  4.06992=(r+4)

                                                              r = 4.06992 -4

                                                              r =( 0.06992)(100)

                                                              r = 6.992 %

Result:

             The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

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