Chris invested 150 dollars he earned a simple interest of 5% a year. How much interest did chris recieve in 2 years

Answer:

The other distances are 400 ft and 750 ft.

Step-by-step explanation:

a + b + c = 2000

a + b + 850 = 2000

a + b = 1150     Equation 1

a^2 + b^2 = c^2

a^2 + b^2 = 850^2

a^2 + b^2 = 722,500     Equation 2

a + b = 1150

a^2 + b^2 = 722,500

a = 1150 - b

(1150 - b)^2 + b^2 = 722,500

1,322,500 - 2300b + b^2 + b^2 = 722,500

2b^2 - 2300b + 600,000 = 0

b^2 - 1150b + 300,000 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]

[tex]x = \dfrac{1150 \pm 350}{2}[/tex]

[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]

x = 750   or   x = 400

Answer: The other distances are 400 ft and 750 ft.

Answer: D two

Step-by-step explanation: They touch two times

Answer:

A. A

Step-by-step explanation:

Answer:

multiply each side

15 x 7 x 10= 1050

I hope this helps

Step-by-step explanation:

W = 7cm

L= 15 cm total

Underneath L = 10cm

top side of pentagon to the bottom right =

15 - 10 = 5cm

So - 7 x 15 = 105

And - 10 x 5 = 50

Then - 105 + 50 = 155cm²

I Haven't done this in a while

Answer:

Whats the question

Step-by-step explanation:

also if you are looking for the unit rate its 153.846...

or if you are looking for how many in 2 years then 650,000

Hope this helps

Have a nice day :)

Answer:

137. 5

Step-by-step explanation:

Firstly you have to turn the mixed fraction into an improper fraction.

x/2/5 = 55/4

Now you multiply both sides by the denominators.

(5)(4) x/2/5 = 55/4  (5)(4)

2x = 275

137. 5

Answer:

9203 cm³

Step-by-step explanation:

A globe of the moon has a radius of 13 centimeters. Find the volume of the globe. Round your answer to the nearest whole number.

The shape of the moon is spherical

Hence:

The volume of a sphere

= 4/3 × π × r³

r = radius = 13 cm

= 4/3 × π × 13³

= 9202.77 cm³

Approximately to the nearest whole number = 9203 cm³

Therefore, the volume of the globe is 9203 cm³

Answer:

hi

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Just add 25 to 90 and remember a triangle's angle mus always add to 180

Answer:

[tex] \boxed{ \boxed{ \mathfrak{a = - \frac{1}{2 } \: b = 2 \: c = 4}}}[/tex]

Step-by-step explanation:

the vertex form of the equation is

let's figure out a

since the parabola crosses f(x) at (0,4)

therefore

let's figure out b,c

therefore

Answer: 4a

Step-by-step explanation:

Answer:

a = 2

Step-by-step explanation:

2a + 2 = 6

2a + 2 - 2 = 6 - 2

2a = 4

2a / 2 = 4 / 2

a = 2

Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!

Answer:

Volume  

=

512

cubic feet

Explanation:  

A cube has  

6

faces all with equal area.

If the total surface area of the cube is  

384

sq.ft.

then each face has an area of  

384

÷

6

=

64

sq.ft.

Each face of a cube is a square and if we denote the length of an edge as  

E

then the area of a face (in this case  

64

sq.ft.) is equal to  

E

2

XXX

E

2

=

64

sq.ft.

XXX

→

E

=

8

sq.ft.

The volume of a cube with edges of length  

E

is  

E

3

In this case  

Volume

=

E

3

=

8

3

=

512

sq.ft.

Hope i helped

Answer:

90ft

Step-by-step explanation:

Area = Width x Length

Length = Area/Width

Length = 4500/50

Length = 90

Hope this helps buds!!

Answer:

Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?

Answer:

From top to bottom

9

27/2

108/6

135/3

Step-by-step explanation:

Find how much is in 1 hour (unit rate)

Do 9/2 x 3=27/2

27/2 x 2/3=54/6=9

4/3 x 27/2= 108/6

Notice how all are solved with the unit rate

Answer:7b+9x

Step-by-step explanation:hope I helped

Step-by-step explanation:

2x = y-10

Rewrite as: 2x + 10 = y

Therefore:

2x+10 = y

2x +7 = 2y

Subtract the equations:

 2x + 10 = y

- 2x + 7 = 2y

______________

          3 = -y

Therefore y = -3

Substiture y = -3 into the second equation:

2x + 7 = 2(-3)

2x + 7 = -6

2x = -13

x= -6.5

Answer : (-6.5, -3)

Answer:

(-13/2,-3)

Step-by-step explanation:

First you want to isolate y from 2x=y-10 or 2x+7=2y. In this case, I picked 2x=y-10 so I added 10 on each side to make y=2x+10. Because we know what y is equal to, we have to plug that into the other equation which is 2x+7=2y so the equation will look like 2x+7=2(2x+10). Simplify this to get 2x+7=4x+20. Simplify this again to get 2x=-13. Divide 2 by each side to get x=-13/2. Then, you have to -13/2 back into one of the equations. In this case, I picked 2x+7=2y so the equation will look like this. 2(-13/2)+7=2y. Simplify this to get -13+7=2y. Simplify again to get -6=2y. Simplify this again to get y=-3. Therefore, x=-13/2 and y=-3. To put it in ordered pair form which is (x,y). Plug that in to get (-13/2,-3).

If this has helped you, please mark the is brainliest

Answer:

A. [tex] \frac{\sqrt 3}{3}[/tex]

Step-by-step explanation:

[tex]m\angle QSR = 180\degree - 150\degree \\ (Linear \: pair\: \angle s) \\ \\m\angle QSR = 30\degree \\ \\ \tan( \angle QSR) = \tan \: 30 \degree \\ \\ = \frac{1}{ \sqrt{3} } \\ \\ = \frac{ \sqrt{3} }{3} [/tex]

Answer:

because

TSR + QSR = 180⁰

<=> 150⁰ + QSR = 180⁰

=> QSR = 30⁰

so

[tex] \tan(qsr) = \tan(30) = \frac{ \sqrt{3} }{3} [/tex]

Answer:

1%

Step-by-step explanation:

\text{\color{blue}{100\%} represents the \color{blue}{starting balance}: \color{blue}{\$50}.}

100% represents the starting balance: $50.

Method 1

Express the ending balance as a percentage of the starting balance:

\frac{\color{darkviolet}{\$50.50}}{\color{blue}{\$50}}=

$50

$50.50

​

=

\,\,1.01

1.01

1.01\times100=

1.01×100=

\,\,\color{darkviolet}{101\%}

101%

\text{Subtract the starting \color{blue}{100\%} to get the \color{green}{percent interest}:}

Subtract the starting 100% to get the percent interest:

\color{darkviolet}{101\%}-\color{blue}{100\%}=

101%−100%=

\,\,\boxed{\color{green}{1\%}}

1%

​

======================================================

Work Shown:

x = total bill amount ignoring the tip

18% of x = 0.18x = tip amount

x+0.18x = 1.18x = amount Martin paid = 27

1.18x = 27

x = 27/1.18

x = 22.8813559322033 approximately

x = 22.88 dollars was the total bill.

----------

Checking the answer:

18% of 22.88 = 0.18*22.88 = 4.1184 = 4.12

Martin left a tip of $4.12

Add this on top of the bill to get 22.88+4.12 = 27

This matches with the fact he paid $27.

The answer is confirmed.

Answer:

Lets solve using elimination method

(x+y=-7)*-2

3x+2y=-17

-2x-2y=14

+

3x+2y=-17

x=-3

so lets substitute now

-3+y=-7

y=-7+3

y=-4

answer = (-3,-4)

mark me brainliest

HOPE IT HELPS :)

Answer:

[tex]V = 6746.30cm^3[/tex]

Step-by-step explanation:

Given

[tex]Surface\ Area = 1700cm^2[/tex]

Required

Determine the largest possible volume

Represent the dimension with:

[tex]Height = h[/tex]

[tex]Sides = x[/tex]

Surface Area with an open top is:

[tex]Surface\ Area = x^2+ 4hx[/tex]

Substitute 1700 for Surface Area

[tex]1700 = x^2+ 4hx[/tex]

Make h the subject

[tex]4hx = 1700 - x^2[/tex]

[tex]h = \frac{1700 - x^2}{4x}[/tex]

The volume (V) is calculated as:

[tex]V = x^2h[/tex]

Substitute value for h in [tex]V = x^2h[/tex]

[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]

[tex]V = x*\frac{1700 - x^2}{4}[/tex]

[tex]V = \frac{1700x - x^3}{4}[/tex]

[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{1}{4}x^3[/tex]

Differentiate and equate to 0, afterwards

[tex]V' =425 - \frac{3}{4}x^2[/tex]

[tex]425 - \frac{3}{4}x^2 = 0[/tex]

[tex]\frac{3}{4}x^2 = 425[/tex]

Solve for [tex]x^2[/tex]

[tex]x^2 = 425 * \frac{4}{3}[/tex]

[tex]x^2 = 566.67[/tex]

Take the square root of both sides

[tex]x = \sqrt{566.67[/tex]

[tex]x = 23.80[/tex]

Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]

[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]

[tex]h = \frac{1133.56}{95.20}[/tex]

[tex]h = 11.91[/tex]

So, the largest possible volume is:

[tex]V = x^2h[/tex]

[tex]V = 23.80^2 * 11.91[/tex]

[tex]V = 6746.30cm^3[/tex]

Answer:

x < 12.5 but see below. This is not a straight forward question.

Step-by-step explanation:

Inequality

3.20x < 40

Solution

Divide by 3.2

40 / 3.2 x < 12.5

Here's the question. What do you do with the 0.5? If you think she can buy 1/2 a yard (I think she might be able to in most places stocking bolts of material), then the 0.5 stays.

If you think she can only buy whole yards, then the answer is 12. Since the question does not make it clear, I would go with 12.5 yards. If it marks you wrong then you go with 12.

The question is an inequality. She has to buy less than 12.5

Answer:

100 km/hour, or 16.67 km/minute

Step-by-step explanation: