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Nezavi [6.7K]
3 years ago
10

Sonora currently has an account balance of $1,822.07. Her initial deposit on the account was $781 and it earned 4.3% simple inte

rest. How long has Sonora held the
account?
Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer: 31

Step-By-Step Explanation:

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F(x) = -7x^2+8x+2 what is the value of the discriminant of f
Murrr4er [49]

Answer:

D = 120,    there are 2 real roots for F(x)

Step-by-step explanatU

using the

formula  D = b^2 - 4ac  for discriminant

D =  8^2  - 4*(-7)*2

D = 64  + 56  =  120

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3 years ago
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How many distinguishable a arrangements are there of the letters in "REPRESENTATION"?
Anika [276]

Answer: There are 1,816,214,400 ways for arrangements.

Step-by-step explanation:

Since we have given that

"REPRESENTATION"

Here, number of letters = 14

There are 2 R's, 3 E's, 2 T's, 2 N's

So, number of permutations would be

\dfrac{14!}{2!\times 3!\times 2!\times 2!}\\\\=1,816,214,400

Hence, there are 1,816,214,400 ways for arrangements.

5 0
4 years ago
Someone help me out please
uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\   (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4.

2 step (A): simplify to obtain the final radical term on one side of the equation.

-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2.

3 step (F): raise both sides of the equation to the power of 2 again.

(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2.

4 step (E): simplify to get a quadratic equation.

4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0.

5 step (D): use the quadratic formula to find the values of x.

D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}.

6 step (C): apply the zero product rule.

x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}.

Additional 7 step: check these solutions, substituting into the initial equation.

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