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valkas [14]
3 years ago
6

Solve for y: 2x+3y=15

Mathematics
2 answers:
Anastasy [175]3 years ago
4 0
<h3>\huge \fbox \red{Answer}</h3>

2x + 3y = 15

3y = 15 - 2x

y = 15 - 2x/3

jasenka [17]3 years ago
3 0

Answer:

\huge\boxed{y=5-\frac{2}{3}x}

Step-by-step explanation:

With the equation \displaystyle 2x+3y=15, we can solve for y by algebraically manipulating the question until we have y isolated on one side.

It's important to note that if we do something to one side, we have to do it to another. Just as 5=5, adding two to both sides still makes it true 5+2=5+2, 7=7.

  • 2x+3y=15
  • \displaystyle \frac{2x}{3} + \frac{3y}{3} = \frac{15}{3}
  • \displaystyle \frac{2}{3}x+y=5
  • \displaystyle \frac{2}{3}x - \frac{2}{3}x +y=5 - \frac{2}{3}x
  • \displaystyle y = 5 - \frac{2}{3}x

Therefore, this equation for y is \displaystyle y = 5 - \frac{2}{3}x .

Hope this helped!

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You have $5600. The best interest rate you can find is 3%
EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

A = P(1 + \frac{r}{n})^{nt}

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

\frac{A}{P} = (1 + \frac{r}{n})^{nt}

Taking logs on both sides

log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0
2 years ago
What is the maximum percent of net spendable income that should be set aside for housing
stepladder [879]

Answer:

Answer;


-38 %

Step-by-step explanation:

Explanation;


-Budget busters are the large potential problem areas that can destroy a budget. Failure to control even one of these problem areas can result in financial disaster.


-Housing takes about 38 percent of your monthly budget. Housing decisions should be based on need and financial ability, not on internal or external pressure.


-Food takes 12 percent of your monthly budget.  The reduction of a family's food bill requires quantity and quality planning.


-Transportation (purchase and maintenance), takes 15 percent of your monthly budget, Debts takes 5 percent of Net Spendable Income, Insurance takes 5 percent of Net Spendable Income assuming an employer provides medical insurance, Recreation/Entertainment takes 5 percent of Net Spendable Income, Clothing takes 5 percent of Net Spendable Income, Medical and dental takes 5 percent of Net Spendable Income and Savings takes 5 percent of Net Spendable Income

7 0
3 years ago
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meriva

Answer:

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5 0
3 years ago
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Somebody tell me this ...
Sloan [31]
I think y= -9/12x + .5
4 0
3 years ago
Find the LCM of n^3 t^2 and nt^4.<br><br> A) n 4t^6<br> B) n 3t^6<br> C) n 3t^4<br> D) nt^2
patriot [66]

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are n^3t^2 and nt^4.

The factored form of each term is

n^3t^2=n\times n\times n\times t\times t

nt^4=n\times t\times t\times t\times t

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

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LCM(n^3t^2,nt^4)=n^3t^4

The LCM of given terms is n^3t^4. Therefore the correct option is C.

8 0
3 years ago
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