I need the answer to this systems word problem. Step by step explanation please

Answer: $1,200,000

Step-by-step explanation:

50% would be 1 million, and 10% of 2 million would be 200,000, so if you add those two together, you get the total of $1,200,000

Answer:

37.699km

Step-by-step explanation:

C=piDor2piR

D=2R(6×2)=12

C=22/7×12or2×22/7×6

ans=37.699

Answer:

Area of a triangle=1/2bh

>>1/2×3×6=9

Area of rectangle=L×B

=7*6=42

=7×4=28

Surface Area=2(9)+2(42)+2(28)

=18+84+56=158cm^2

Answer are in order:

[tex]\left(3x+4\right)\left(x+2\right)[/tex]

[tex]3\left(3x-1\right)\left(2x+5\right)[/tex]

[tex]\left(4x+5\right)\left(4x-5\right)[/tex]

[tex]\left(3x+2\right)\left(2x-5\right)[/tex]

Step-by-step explanation:

[tex]3x^2 + 10x+ 8[/tex]

[tex]\mathrm{Break\;the\;expression\;into \;groups}[/tex]

[tex]=\left(3x^2+4x\right)+\left(6x+8\right)[/tex]

[tex]\mathrm{Factor\;out\;x\;from\; 3x^2+4:}x(3x+4)[/tex]

[tex]\mathrm{Factor\;out\;2\;from\;6x+8:2(3x+4)}[/tex]

[tex]=x\left(3x+4\right)+2\left(3x+4\right)[/tex]

[tex]=\left(3x+4\right)\left(x+2\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]18x^2+39x-15[/tex]

[tex]\mathrm{Factor\;out\;common\;term\;3:3(6x^2+13-5)}[/tex]

[tex]18x^2+39x-15[/tex]

[tex]\mathrm{Factor\;6x^2+13x-5:(3x-1)(2x+5)}[/tex]

[tex]=3\left(3x-1\right)\left(2x+5\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]16x^2-25[/tex]

[tex]\mathrm{apply\;exponents\;rules}[/tex]

[tex]=\left(4x\right)^2-5^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

[tex]\left(4x\right)^2-5^2=\left(4x+5\right)\left(4x-5\right)[/tex]

[tex]=\left(4x+5\right)\left(4x-5\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]6x^2-11x-10[/tex]

[tex]\mathrm{Break\;the\;expression\;into\;groups}[/tex]

[tex]=\left(6x^2+4x\right)+\left(-15x-10\right)[/tex]

[tex]\mathrm{Factor\;out\;2x\;from\;6x^2+4x:2x(3x+2)}[/tex]

[tex]\mathrm{Factor\;out\;-5\;from\;-15x-10:-5(3x+2)}[/tex]

[tex]=2x\left(3x+2\right)-5\left(3x+2\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}3x+2[/tex]

[tex]=\left(3x+2\right)\left(2x-5\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~

Answer:

$100.70

Step-by-step explanation:

The difference between the total price ($434.50) and the sales price ($415) is the tax ($19.50).  To find the sales tax as a percentage of the sales price, divide the sales tax by the sales price and then multiply by 100:

19.50415(100)=4.70

Answer:

448

Step-by-step explanation:

[(8x8)4]+[(8x10)2]

448

Answer:

[tex]\bold{Cubic \: eq {}^{n} = x {}^{3} - ( \alpha + \beta + \gamma )x + ( \alpha \beta + \beta \gamma + \gamma \alpha )x - ( \alpha \beta \gamma )} \\ [/tex]

Sum of zeroes ,

[tex] \alpha + \beta + \gamma = ( - 3) + 4 + 6 = 7[/tex]

sum of product of zeroes taken two at a time ,

[tex] \alpha \beta + \beta \gamma + \gamma \alpha = ( - 3)(4) + (4)(6) + (6)( - 3) \\ = > - 12 + 24 - 18 \\ = > - 6[/tex]

product of zeroes ,

[tex] \alpha \beta \gamma = ( - 3)(4)(6) = - 72[/tex]

Substituting the values in the equation above , we get

[tex]\bold{x {}^{3} - ( \alpha + \beta + \gamma )x {}^{2} + ( \alpha \beta + \beta \gamma + \gamma \alpha )x - ( \alpha \beta \gamma ) }\\\\\bold{ ⇢ x {}^{3} - 7x {}^{2} + ( - 6)x - ( - 72)} \\\\\bold\blue{ ⇢x {}^{3} - 7x {}^{2} - 6x + 72}[/tex]

hope helpful~

Answer:

Answer:

C

Step-by-step explanation:

400-160=240

240/4=60

Answer:

[tex]2x - 12 = 9x - 63 \\ \\ 63 - 12 = 9x - 2x \\ 51 = 7x \\ x = 7.2[/tex]

Answer:

See below

Step-by-step explanation:

What are pair relation exists between angle 8 and angle 3? Use the figure below as a reference.

Answer: Exterior alternate angles

Exterior alternate angles are equal in measure.

[tex]\implies m\angle 8 = m\angle 3[/tex]

What are pair relation exists between angle 6 and angle 2? Use the figure below as a reference.

Answer: Interior angles on the same side of transversal.

Interior angles on the same side of transversal are supplementay.

[tex]\implies m\angle 6 + m\angle 2 =180\degree[/tex]

What are pair relation exists between angle 5 and angle 3? Use the figure below as a reference.

Answer: Corresponding angles

Corresponding angles are equal in measure.

[tex]\implies m\angle 5 = m\angle 3[/tex]

What are pair relation exists between angle 8 and angle 2? Use the figure below as a reference.

Answer: Corresponding angles

Corresponding angles are equal in measure.

[tex]\implies m\angle 8 = m\angle 2[/tex]

What are pair relation exists between angle 7 and angle 3? Use the figure below as a reference.

Answer: Exterior angles on the same side of transversal

Exterior angles on the same side of transversal are supplementay.

[tex]\implies m\angle 7+ m\angle 3=180\degree[/tex]

What are pair relation exists between angle 6 and angle 1? Use the figure below as a reference.

Answer: Corresponding angles

Corresponding angles are equal in measure.

[tex]\implies m\angle 6 = m\angle 1[/tex]

What are pair relation exists between angle 5 and angle 4? Use the figure below as a reference.

Answer: Interior angles on the same side of transversal

Interior angles on the same side of transversal are supplementay.

[tex]\implies m\angle 5+ m\angle 4=180\degree[/tex]

What are pair relation exists between angle 6 and angle 4? Use the figure below as a reference.

Answer: Alternate angles

Alternate angles are equal in measure.

[tex]\implies m\angle 6 = m\angle 4[/tex]

What are pair relation exists between angle 7 and angle 1? Use the figure below as a reference.

Answer: Exterior alternate angles

Exterior alternate angles are equal in measure.

[tex]\implies m\angle 7 = m\angle 1[/tex]

What are pair relation exists between angle 8 and angle 1? Use the figure below as a reference.

Answer: Exterior angles on the same side of transversal.

Exterior angles on the same side of transversal are supplementay.

[tex]\implies m\angle 8+ m\angle 1=180\degree[/tex]

[tex] \: [/tex]

Solution :

⠀

1. What are pair relation exists between angle 8 and angle 3?

⠀

2. What are pair relation exists between angle 6 and angle 2?

⠀

3. What are pair relation exists between angle 5 and angle 3?

⠀

4. What are pair relation exists between angle 8 and angle 2?

⠀

5. What are pair relation exists between angle 7 and angle 3?

⠀

6. What are pair relation exists between angle 6 and angle 1?

⠀

7. What are pair relation exists between angle 5 and angle 4?

⠀

8. What are pair relation exists between angle 6 and angle 4?

⠀

9. What are pair relation exists between angle 7 and angle 1?

Answer:

598,402

Step-by-step explanation:

Let y = population at year x

x is the number of years since 1953, so for 1993, x = 40

a = population in 1953

y = a(1.08)^x

In 1993, the population is 13,000,000, so y = 13,000,0000 when x = 40.

13,000,000 = a(1.08)^40

13,000,000 = 21.7245a

a = 598,402

Answer: 598,402

Answer:

This is how i think you do this

Step-by-step explanation:

6439e^.04x8= 8867.32, or

e^.04= 1.0408 = 6439 x (1.0408^8) = 8,867.33.

the first one would be if she is receiving multiple payments ove the year, and the second one is just the "4% commended annually per year". its been a minute since ive actually had to do this, but that seems right to me. so she will have enough.

Answer:

10°C average temperature

Step-by-step explanation:

Average Temperature = Lowest + 17

= -7 + 17

= 17 - 7

= 10°C average temperature

Answer:

KM=LM+KL.  If KM is 9 and LM is 5, then KM-LM=KL. So 9-5=4.  KL is 4.

Step-by-step explanation:

The value of KL will be equal to 4 in the line segment KM.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that point, L is on line segment KM. Given LM = 5 and KM=9. The value of the line segment KL will be calculated as below:-

KM = LM + KL.  

If KM is 9 and LM is 5, then,

KM-LM=KL.

KL =  9-5=4.  

KL = 4

Therefore, the value of KL will be equal to 4 in the line segment KM.

To know more about line segments follow

brainly.com/question/2437195

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Answer:

Step-by-step explanation:

Equations 1 and 4 would produce a parabola as they follow the general equation of a parabola.

Given equations are:

[tex]1)-5x^2+4x-7y+14 = 0\\\\2)-x^2 + 6x +y^2-8=0\\\\3)9x^2-12xy+4y^2+4x-y+5=0\\\\4)12x+6y-5y^2+14=0[/tex]

The general equation of a parabola

[tex]y = a(x^2+h^2-2xh)+k\\[/tex] or [tex]x= a(y^2+k^2-2yk)+h[/tex]

where h and k are vertices of the parabola.

Each equation follows the same pattern as the general equation of a parabola except the second and third equation

Therefore, equations 1 and 4 would produce a parabola as they follow the general equation of a parabola.

To get more about parabola visit:

https://brainly.com/question/4148030

Answer:

A. –5x2 + 4x – 7y + 14 = 0

C. 9x2 – 12xy + 4y2 + 4x – y + 5 = 0

D. 12x + 6y – 5y2 + 14 = 0

I got it right on edge trust me

Answer: 1/4

Step-by-step explanation:

Find the part of the box plot that represents at least 14 inches of snow. In a box plot, each whisker represents 1/4 of the data. So, Snowy Pines got at least 14 inches of snow 1/4 of the time.

PLEASE FORGIVE ME IF THIS IS WRONG

Answer: 600!

Step-by-step explanation:

Step-by-step explanation:

1) Simplify the fractions....

\begin{gathered}2^{-3} = 1/8\\2^{-2} = 1/4\end{gathered}

2

−3

=1/8

2

−2

1/8 + 1/4 = 3/8

The given function is an exponential parent function the correct option is C.

Algebraic expressions appear in the exponent of exponential functions. The formula for their parent function is y = bx², where b is any nonzero constant. The graph of the parent function, y = ex².

In the graph, we can see that the function is varying exponentially from -10 to 10.

Therefore, the given function is an exponential parent function the correct option is C.

To know more about an exponential parent function follow

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Answer:

14,857.37

Step-by-step explanation:

15,890.23 - Percentage decrease =

15,890.23 - (6.5% × 15,890.23) =

15,890.23 - 6.5% × 15,890.23 =

(1 - 6.5%) × 15,890.23 =

(100% - 6.5%) × 15,890.23 =

93.5% × 15,890.23 =

93.5 ÷ 100 × 15,890.23 =

93.5 × 15,890.23 ÷ 100 =

1,485,736.505 ÷ 100 =

14,857.36505 ≈ 14,857.37

Answer:

see below.

Step-by-step explanation:

letting u = x - 4 means the equation can now be expressed as a quadratic

u² - u - 6 = 0 ← quadratic equation in u

Answer: (D)

Step-by-step explanation:

Answer:

62000

We know that:

[tex]P=60000\\ R=10\ percent \\ T=4[/tex]

Formulate and substitute:

[tex]Substitute[/tex]        [tex]P=6000\\ R=10\ percent\\ T=4[/tex]    [tex]into\ formula[/tex]

[tex]F=P+Prt[/tex]

[tex]F=60000+60000rt[/tex]

Calculate

[tex]\frac{60000\times(12+4\times0.1)}{12}[/tex]

Calculate the product or quotient

[tex]\frac{60000\times(12+0.4)}{12}[/tex]

Calculate the sum or difference

[tex]\frac{60000\times12.4}{12}[/tex]

Cross out the common factor

[tex]5000\times12.4[/tex]

Calculate the product or quotient

[tex]62000[/tex]

I hope this helps you

:)

Solution:

Note that:

Divide the diameter both sides.

Substitute the diameter in the equation.

Known facts:

Variables:

Set equation based on known facts and variables:

  y = 50x + 50, 50x is the rate at which it grows depending on

   the week and 50 is the initial amount there

Hope that helps!

Answer:

13√2

Step-by-step explanation:

The longest segment that can be drawn is a "diagonal" connecting two opposite "corners" at the top and bottom.This is similar to finding the length of a diagonal of a rectangle using the Pytagoren Theorem. However, this distance is in 3-space and is given by:d =√(152 + 82 + 72) = √338 = √(169 * 2)  = 13√2 cm.

Answer:

21

Step-by-step explanation:

We decompose prime factors of 48, 72, and 1008

48=2*2*2*2*3

72=2*2*2*3*3

1008=2*2*2*2*3*3*7

Let's compare 48, 72 with GOD(3) and LCM(1008), we can find that there must be at least 2 prime factors in the third number that is 3 and 7.

And let's find out the LCM of 48 and 72. Quite obvious the answer is 144.

Since the LCM should be the consequence of 144 multiplied by another prime factor.

Then let's try 144*7. Amazingly 144*7=1008. DONE!