0.96% as a fraction in simplest form. help needed

What method would best to solve x=5y. 2x-3y=7

ser-zykov [4K]

Answer:

substituting x=5y into 2x-3y=7, Answer: y = 1 x = 5

Step-by-step explanation:

2(5y)-3y=7

10y-3y=7

7y=7

y=1

substitute y=1 into x=5y

x=5(1)

x=5

8 0

3 years ago

3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest

blsea [12.9K]

We all know, savings account have "Compound Interest"

So, Here, On $100 deposit, amount of Interest = $12

So, for $50, it would be: $6

Then, for $300, it is: $36

b) If you deposit $200, then balance after 1 year,
A = P(1 + r)^t

A = 200(1 + 0.03)^1

A = 200(1.03)
A = $206

Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5

Difference = 206 - 154.5 = $51.5

In short, Your Answer would be: $51.5

Hope this helps!

6 0

3 years ago

Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

If the discriminant is zero, the equation will have only one solution and it will be real
If the discriminant is greater than zero, then the equation will have two solutions and they both will be real.
If the discriminant is less than zero, then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know that our equation will have two solutions in the complex numbers.

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

3 years ago

Fred wants to find 48+34 using compensation.He says you can take 2 from 34 and give it to 48 to make 50.What is the sum?Explain

Montano1993 [528]

It is easier to add 50 to a number than 48 because 50 has a zero in it which makes an addition simpler.

48 + 34 = borrow 2 from 34 and add to 48

= 50 + 32 50 + 32 is 82

= 82

6 0

3 years ago

When an equation in one variable is solved using a system of equations, the solution is always the blank of each intersection.

Vera_Pavlovna [14]

Answer:

x-coordinate.

Step-by-step explanation:

its the answer for edge.

8 0

3 years ago

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