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Evgen [1.6K]
3 years ago
14

The equatorial diameter of Jupiter is about 89,000 mi. This is about 11.23 times the equatorial diameter of earth. What is the e

quatorial diameter of earth? Round the nearest integer
Mathematics
1 answer:
Simora [160]3 years ago
6 0

The equatorial diameter of the earth is 7925 mi.

<u>Solution: </u>

Given, The equatorial diameter of Jupiter is about 89,000 mi.  

This is about 11.23 times the equatorial diameter of earth.  

We have to find what is the equatorial diameter of earth? Round the nearest integer

Now, according to given information,

Equatorial Diameter of Jupiter = 11.23 \times equatorial diameter of earth

\text { Then, equatorial diameter of earth }=\frac{\text { diameter of iupiter }}{11.23}

\begin{array}{l}{\text { equatorial diameter of earth }=\frac{89000 \mathrm{mi}}{11.23}} \\\\ {\text { equatorial diameter of earth }=7925.2003 \mathrm{mi}}\end{array}

Hence, the equatorial diameter of the earth is 7925 mi.

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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
S_A_V [24]

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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