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Black_prince [1.1K]
3 years ago
12

the length of a rectangle in (3+√7) and it's with is (1+2√7). what is the area of the rectangle? what is the perimeter of the re

ctangle​
Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52

Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87

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The vertex of the parabola below is at the point (-4,-2) wich of the equations below could be the one for this parabola
MrRissso [65]

The parabola with with a vertex at (-4,-2) represents any member of parabolas with the equation y(x)=a(x+4)^2-2 where a is any real number with the exception that  a\neq 0.

The reason any equation  of the form y(x)=a(x+4)^2-2 works is that there are an infinite number of parabolas with a vertex at (-4,-2). All of these parabolas are formed by applying some transformation that involves a vertical translation of -2 and a horizontal translation of -4 on the parabola y=x^2. The different variations are archived by varying the constant a.  When a is negative, the parabolas will face downwards. When a is negative, the parabolas will be face downwards.

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Nadia deposited $3000 into an account that earns annual simple interest. 13 points
Kipish [7]

Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.

Step-by-step explanation:

The given is,

             Nadia deposited $3000

             After 6 years, she had earned $990 in interest

             Simple interest

Step:1

            Formula to calculate the future amount with simple interest is,

                             F = P(1+(r)(t))...........................(1)

          Where, F - Future amount

                       P - Initial investment

                        r - Rate of interest ( simple interest )

                        t - No. of years

Step:2

           From the given,

                       I = $990

                      P = $3000

                      F = Initial investment + Interest amount

                      F = P + I = 3000 + 990 = $3990

                       t = 6 years

          Equation (1) becomes,

                 3990 = 3000 ( 1 + (r)(6) )

                    \frac{3990}{3000} = (1+(r)(6))

                    1.33 = 1 + (r)(6)

                1.33 - 1 = (r)(6)

                    0.33 = (r)(6)

                         r = \frac{0.33}{6}

                          r = 0.055 × 100

                         r = 5.5%

Result:

        Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.

4 0
3 years ago
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