How many points marked on this graph are solutions?

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$8000\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &2 \end{cases} \\\\\\ 8000=5000[1+(\frac{r}{100})(2)]\implies \cfrac{8000}{5000}=1+\cfrac{r}{50}\implies \cfrac{8}{5}=1+\cfrac{r}{50} \\\\\\ \cfrac{8}{5}-1=\cfrac{r}{50}\implies \cfrac{3}{5}=\cfrac{r}{50}\implies \cfrac{3(50)}{5}=r\implies 30=r[/tex]

Answer:

Step-by-step explanation:

follow the formula in the picture

Area = b * h

Area = 15 * 8

Area = 120 in²

Step-by-step explanation:

we are missing the inequality sign in step 3.

step 1 and step 2 are correct.

step 4 is wrong.

the correct step 3 looks like

3x <= -3

if your original step 3 says the same, then the first wrong step is step 4.

if your original step 3 does not say the same, then the first wrong step is step 3.

The highest possible number of inhabitants in that little town are 743.

A person or animal that lives in a place is called as the inhabitant.

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.

Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.

There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.

Thus, the highest possible number of inhabitants in that little town are 743.

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Answer:

  14 visits

Step-by-step explanation:

The total number of points on Blake's card will be the sum of the initial number and the number earned for visits. The number earned for visits is the product of the number of visits and the the points earned per visit.

__

The number of points on Blake's card will be ...

  p = 35 +11.5x . . . . . when Blake makes x visits to the theater

We want to find x when p=196, so we have ...

  196 = 35 +11.5x

This 2-step equation is solved in the usual way.

  161 = 11.5x . . . . step 1, isolate the variable term by subtracting the constant

  14 = x . . . . . . . . step 2, divide by the variable coefficient

Blake must make 14 visits to earn a free movie ticket.

Answer:

A

tyler has a points card for a movie theater.

he receives 75 rewards points just for signing up.

• he earns 10.5 points for each visit to the movie theater.

he needs 180 points for a free movie ticket.

.

a

how many visits must tyler make to earn a free movie ticket?

Step-by-step explanation:

Answer:

x= 3/2

Step-by-step explanation:

3/x=2

Multiply x both sides so,

3 =2x

Divide 2 to get the value of x so,

x= 3/2

The equation which is used to find the value of c will be c = 5/Cos 35

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

We are given the following

m<ACB = 90degrees

m<ABC = 35degrees

The side opposite to m<ABC is AC

BA = hypotenuse

CB = adjacent = 5inches

Required

The equation to solve BA which is c

Using the Pythagoras theorem;

Cos Ф = Adjacent/Hypotenuse

Cos m<ABC = CB/BA

Cos m<ABC = 5/c

c = 5/cosm<ABC

c = 5/Cos 35

Hence the equation that can be used to solve for c is c = 5/Cos 35

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Answer:

https://www.calculator.net/triangle-calculator.html?vc=&vx=16&vy=9&va=&vz=12&vb=&angleunits=d&x=54&y=24

Step-by-step explanation:

I went to this website

https://www.calculator.net/triangle-calculator.html

put in what I knew of the triangle and got all the information you may need.

Answer:

y=x^(2)+10x+11,y=x^(2)+x-7

Step-by-step explanation:

I think so bro

Step-by-step explanation:

I assume you mean

y = x² + 10x + 11

y = x² + x - 7

well, I subtract equation 2 from equation 1 :

0 = 9x + 18

9x = -18

x = -2

y = x² + x - 7 = (-2)² - 2 - 7 = 4 - 2 - 7 = -5

the solution (the intersection point of both graphs) is the point (-2, -5).

The simplified form of this expression is 28 + 10i

Imaginary numbers are numbers that are composed of a real number and an imaginary part.

< To resolve this issue, let's remove the first parenthesis:

(3i + 4) - i + 4(6 + 2i)

3i + 4 - i + 4(6 + 2i)

< In the second parentheses, let's apply the distributive property:

3i + 4 - i + 4(6 + 2i)

3i + 4 - i + 4 . 6 + 4 . 2i

3i + 4 - i + 24 + 8i

< Finally, let's just sum the like terms, along with the real terms:

3i + 4 - i + 24 + 8i

10i + 4 + 24

10i + 28

28 + 10i

Therefore, the correct value will be 28 + 10i

Answer:

31.4 in

Step-by-step explanation:

The circumference of of a circle given the diameter is πd :

C = π×d = 10π = 31.4159....

C ≈ 31.4

The units will still be in as this is a length not an area .

Hope this helped and brainliest please

Step-by-step explanation:

Yes it is .

7x+9 _> 7•3

7x+9_> 21

7x_> 21 - 9

7x _> 12 divide both side with 7 to find x

then x _> 1.4

which mean x can be any number that is greater than or equal to 1.4 so 2 is correct .

Hi Student!

Looking at the problem statement, we can see that they are asking for us to determine whether x = 2 is a solution of the expression provided or not.  The first step that we take is plugging in all the values which means that we take 2 and plug it into all of the x's that we have in the expression that we provided.  Then we simplify that expression down on both sides.  If the expression in the end results to true then x = 2 is a solution of the expression but if it defaults to false than x = 2 isn't a solution.

Plug in the values

Simplify both sides

The final expression states that 23 is greater than or equal to 21 which is true. Therefore, x = 2 is a solution of the expression that was provided in the problem statement.

Answer: 384.85

Step-by-step explanation

In order to save money, the person should buy Toilet paper B.

In order to determine the unit price of each option, divide the total cost by the number of rolls. The option that would save money is the cheaper option.

Unit cost = total cost / number of rolls

$4.59 / 6 = $0.77

$9.02 / 12 = $0.75

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Answer: [tex]\frac{4}{15}[/tex] of the pizza was left

Step-by-step explanation:

lets first get the denominators the same..

[tex]\frac{1}{3} = \frac{5}{15}[/tex]

[tex]\frac{2}{5} = \frac{6}{15}[/tex]

To find the total pizza eaten we add these two fractions

[tex]\frac{5}{15} +\frac{6}{15} =\frac{11}{15}[/tex]

we can think of [tex]\frac{15}{15}[/tex] as 1 pizza because it simplifies to 1

[tex]\frac{15}{15} -\frac{11}{15} =\frac{4}{15}[/tex]

Therefore, [tex]\frac{4}{15}[/tex] of the pizza was left

Answer:Amount left=4/15

Step-by-step explanation:

The solution is in the image

Answer:

126

Step-by-step explanation:

The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.

Let's suppose its initial term is a , multiplication factor is  r and let it has total n terms,

then, its sum is given as:

[tex]S_n = \dfra[/tex][tex]\dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

Given geometric sequence;

85 +85(.9) +85(.9)² + ...

a = 85

r = 0.9

its sum is given as:

[tex]S_n = \dfra[/tex][tex]\dfrac{a(r^n-1)}{r-1}[/tex]

[tex]S_n = \dfrac{85(0.9^5-1)}{0.9-1}\\\\S_n = \dfrac{85(0.5904-1)}{-0.1}\\\\\\S_n = \dfrac{85(-0.4095)}{-0.1}\\\\S_n = 348.08[/tex]

Thus,

The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.

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Answer:

c.

Step-by-step explanation:

we estimate by rounding the factors to "easy numbers". that means numbers we can easily calculate even in our heads, and we get at just a ballpark number as result for orientation.

59 is much closer to 60 than to 50.

42 is much closer to 40 than to 50.

of course, we round to the closest "round numbers", so that the loss of precision through the rounding is as little as possible, so that the estimation still gives a much value as possible.

and the sum of the differences of the factors should be as close to 0 as possible.

so, 60×40 is the closest and therefore best estimation.

the sum of the factor differences is (+1 - 2) = -1.

compare to the real result :

59×42 = 2,478

answer a and b are by the way not correct :

50×40 = 2000 (and not 2500)

60×50 = 3000 (and not 3500)

FYI - in this case 50×50 = 2500 would be the closest estimation.

and the sum of the factor differences would be (-9 + 8) = -1.

normally, this wide "jumping" (-9 to +8) would make it only second choice.

Based on this construction, the value of m∠ABC is 64°.

From the point, E and D, two arcs are made which are intersecting each other at point P.

It means, that line BP is the bisector of angle ABC. ABC will be:

= 2 * 32=64

Therefore, based on this construction, the value of m∠ABC is 64°.

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Answer:

7a^3-7a+1

Step-by-step explanation:

(7a³-2a-2) + (-5a + 3) =

Combine like terms

7a^3-2a-5a-2+3

7a^3-7a+1

Answer:

4 8 1 4 0,683 the (783)-213=509

Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of white tiles and y represent the number of black tiles.

Area of white tiles = 2 cm * 2 cm = 4 cm²

Area of black tiles = 2 cm * 3 cm = 6 cm²

She used twice as many white tiles as black tiles. Hence:

x = 2y   (1)

Also, the finished pattern was 1092 square centimeters in area. Hence:

4x + 6y = 1092   (2)

From both equations:

x = 156, y = 78

Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²

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Answer: x=15, y=3

Step-by-step explanation:

Subtracting the two equations, we get -3y=-9, meaning y=3.

Substituting this into the first equation, we get that x-3=12, and thus, x=15.

The conditions or surroundings in which we all live is called the environment. The main elements of the environment are air, water, temperature, weather conditions and more.

The environment is the base of the life cycle. It is the most precious gift of nature. But now our environment is in danger. Saving the environment is very important for living a comfortable life. It is the biggest challenge for humans to revert the environment to its real state. But nothing is impossible.

We need to take some steps immediately in order to save the environment and revert it back to its original form. Using natural resources efficiently is a powerful way to save our environment.

☆...hope this helps...☆

_♡_mashi_♡_

[tex]\bold{Q:}[/tex]

[tex]\bold{Ans:}[/tex]

A balance or scale is an instrument used to measure mass.

Hope it helps.

[tex]\bold{Feel \: free \: to \: correct \: me}[/tex]~

Answer:

180 degrees

Step-by-step explanation:

Because 360 is i full turn around and you can divide 360 by 2 and you will get 180  

Hope This Helped

Answer:

135 ft^3

Step-by-step explanation:

The volume of a cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]. The radius is 4 and the height is 8, so these values can be plugged in:

[tex]V = \frac{1}{3} \pi \times 4^{2} \times 8[/tex]

[tex]V = \frac{128\pi }{3}[/tex]

This is about 134.041286553 which rounds to 135 ft^3.