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2 years ago

I need help on these 3

Mathematics

1 answer:

uysha [10]2 years ago

3 0

What do you need help with? it helps us to know the question!

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ask google they know or go to tiger.com algebra they can help you answer it gives you the answer and how they got it

Step-by-step explanation:

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2 years ago

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7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best m

Zepler [3.9K]

Answer:

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8 0

2 years ago

6 in 5 in 14 in Area =

Hunter-Best [27]

Answer:

184

Step-by-step explanation:

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3 years ago

Gwen borrows 400$ from her parents to buy a bike. She agrees to pay them back plus 4% interest. What is the total amout of money

Sauron [17]

Answer:Gwen will pay $560 in total

Step-by-step explanation:

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6 0

3 years ago

Could someplease explain the whole problem? For the first part my the answer I got was x= .618, -.618, and <img src="https://tex

algol13

9514 1404 393

Answer:

a) x = (√5 -1)/2 ≈ 0.618034

b) 1/x = (√5 +1)/2 ≈ 1.618034

Step-by-step explanation:

Given:

x/(1 -x) = 1/x

Find:

Exactly, and as a decimal approximation, ...

a) x, using the quadratic formula

b) 1/x

Solution:

a) We can multiply the given equation by x(1 -x) to obtain ...

x² = 1 -x

x² +x -1 = 0 . . . . . . add x-1

The coefficients for use in the quadratic formula are a=1, b=1, c=-1. The solution using the quadratic formula is ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-1\pm\sqrt{1^2-4\cdot1\cdot(-1)}}{2\cdot1}=\dfrac{-1\pm\sqrt{5}}{2}$

We are only interested in the positive solution, which is ...

$\boxed{x=\dfrac{\sqrt{5}-1}{2}\approx0.618034}$

b) The quadratic we developed in the first part can be rearranged like this:

x² +x = 1 . . . . . . add 1 to both sides

x(x +1) = 1 . . . . . factor out x

x +1 = 1/x . . . . . .divide by x

Then to find the value of 1/x, we simply need to add 1 to the value of x we have:

$\dfrac{1}{x}=\dfrac{\sqrt{5}-1}{2}+1=\dfrac{\sqrt{5}-1}{2}+\dfrac{2}{2}=\dfrac{\sqrt{5}-1+2}{2}\\\\\boxed{\dfrac{1}{x}=\dfrac{\sqrt{5}+1}{2}\approx1.618034}$

5 0

2 years ago