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3 years ago

PLEASE HELP ME

Mathematics

1 answer:

Vlada [557]3 years ago

6 0

Answer:

x = 0
x = 1

Step-by-step explanation:

Find two rows in the table that have the same values in the f(x) and g(x) columns.

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Find the solutions of the form x=a,y=0and x=0 ,y=b for the following equations: 2x+5y=10 and 2x+3y=6. is there any common soluti

Arlecino [84]

Answer:

x=0 and y=2

Step-by-step explanation:

We have been given system of equations:

2x+5y=10 (1)

And 2x+3y=6 (2)

Subtract equation (2) from(1) we get:

2y=4

y=2

Now, substitute y=2 in equation(2) we get:

2x+3(2)=6

2x+6=6

2x=0

x=0

Hence, x=0 and y=2

8 0

3 years ago

You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu

krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

$x+y=250,000.$

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then $x\cdot 0.012=0.012x$ is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then $y\cdot 0.062=0.062y$ is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

$0.012x+0.062y=8,000.$

3. Solve the system of equations:

$\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.$

Express x from first equation $x=250,000-y$ and substitute it into the second equation

$0.012(250,000-y)+0.062y=8,000.$

Multiply this equation by 1000:

$12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000$

Then

$x=250,000-100,000=150,000.$

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csf%2015%3D2x-9" id="TexFormula1" title="\sf 15=2x-9" alt="\sf 15=2x-9" align="absmiddle" cl

Genrish500 [490]

Answer:

x=12

Step by step explanation:

Step by step explanation:Add 9 to both sides :

15 = 2x - 9

15 + 9 = 2x - 9 + 9

Simplify:

24 = 2x

Divide both sides to get the result:

24 = 2x

24/2 = (2x)/2

Result:

x=12

$\boxed{\sf Answered \: By\: Subhash}$

$\boxed{\sf Good\: luck \: for \: your \:assignment}$

7 0

2 years ago

Hiro and his co-workers had lunch at a restaurant near their work. An 18% tip on their bill was $10.08. How much was the bill, n

Ghella [55]

Answer:

$8.27

Step-by-step explanation:

First we need to find the tip. We know it was 18% of the total. So...

x (the variable we need to find) 18%

__ = ___

10.08 (the total bill including tip) 100%

cross multiply

100x = 181.44

-------------------- (divide by 100 to get x by itself)

100

x = 1.81 (The 18% tip that was given)

So now we know how much the tip was, we subtract it from the bill

10.08 - 1.81 = $8.27

5 0

3 years ago

I Need Help In #1-5

Citrus2011 [14]

If you are having trouble with ratios you can look at them as fractions. The first number being the numerator and the second number being the denominator or the other way around. When you are asked to find an equivalent ratio, you just have to find an equivalent fraction.

7 0

3 years ago