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Luba_88 [7]
3 years ago
5

Identify the center of the circle whose equation is (x-2)^2+(y+8)^2=16

Mathematics
2 answers:
levacccp [35]3 years ago
7 0

Answer:

The center of the circle is (2, -8)

Step-by-step explanation:

Given : the equation of circle as (x-2)^2+(y+8)^2=16

We have to find the center of the circle whose equation is  (x-2)^2+(y+8)^2=16

The general equation of a circle is given as (x-h)^2+(y-k)^2=r^2

Where , (h,k) represents the center of the circle and r represents the radius of the circle.

Comparing the given equation of circle  (x-2)^2+(y+8)^2=16 with the general we get,

h = 2 , k = -8 and r = 4

Thus  (x-2)^2+(y+8)^2=16 can be written as (x-2)^2+(y-(-8))^2=4^2

Thus, the center of the circle is (2, -8)

AlekseyPX3 years ago
6 0
The equation of a circle is

(x-h)^{2}+(y-k)^{2} = r^{2}

So this equation you provided has:
 Center: (2,-8)
 Radius: 4
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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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