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lianna [129]
1 year ago
9

Use substitution to solve the following system of equations. Show all of your work. Write the solution as an ordered pair.

Mathematics
1 answer:
trapecia [35]1 year ago
3 0

Answer:

\left \{ {{x=2} \atop {y=2}} \right.

Step-by-step explanation:

Substitute the second equation into the first one:

4x+(2x-2)=10\\6x-2=10\\6x=12\\x=2

Substitute x=2 into the second equation:

y=2\times 2-2\\y=4-2\\y=2

\therefore \left \{ {{x=2} \atop {y=2}} \right.

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4. If your company purchases an annuity that will pay $50,000/year for 10 years at a 11% discount rate, what is the value of the
julsineya [31]

Answer:

The value of the annuity is $326,852.3766.

Step-by-step explanation:

Here is the required formula to find the present value of annuity:

We can find the present value of annuity:

PV = P + P (\frac{1-(1+r)^{-(n-1)} }{r})

Here:

            P = $50,000

            n = represents the number of number of periods

            r = 0.11

PV = 50,000 + 50,5000 (\frac{1-(1+0.11)^{-(10-1)} }{0.11})

PV = $326,852.3766

The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.

Keywords: discount rate,  present value of annuity

Learn more about present value of annuity from brainly.com/question/13218793

#learnwithBrainly

4 0
3 years ago
Find the values of x y and z
andrey2020 [161]

9514 1404 393

Answer:

  • x = 18√2
  • y = 18√3
  • z = 36

Step-by-step explanation:

These "special" right triangles have side length ratios that it is useful to remember.

<u>45°-45°-90° triangle</u>

Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.

  x = 18√2

<u>30°-60°-90° triangle</u>

Shortest to longest, sides have the ratios ...

  1 : √3 : 2

That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.

  y = 18√3

  z = 2·18 = 36

4 0
2 years ago
Write an equation of the line that passes through the point (5, 6) with slope 3.
Daniel [21]

Answer:

the answer to that would be y=3x-9

6 0
1 year ago
3/4<br> of a number is 24.<br> Find the number.
Mice21 [21]

Answer:

32

Step-by-step explanation:

Divide 24 by 3/4 to find the number.

24 ÷ 3/4

= 24 × 4/3

= 32

8 0
2 years ago
Read 2 more answers
Three times a number w is less than 18. The inequality is
Alla [95]

Answer:

W<6

Step-by-step explanation:

3 times W

So 3W is less than < 18

Do 18 / 3 =6

3 0
2 years ago
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