Jamal puts $2300 into an account that does not earn any interest.

Every month after that, he deposits the same amount of money.

This sequence
represents his account balance for the first few months:

$2300, $2500, $2700, ...


What is the explicit formula for the amount of money in his account at the beginning of month n?

A. a(n) = 2300 + (n − 1)200

B. a(n) = 200-2300"-1

C. a(n) = 2300 200-1

D. a(n) = 200+ (n − 1)2300

Answer:

x = - 7 , x = 2 , x = 1

Step-by-step explanation:

note that

p(1) = 1³ + 4(1)² - 19(1) + 14 = 1 + 4 - 19 + 14 = 0

since p(1) = 0 , then x = 1 is a zero

using synthetic division

1 | 1  4  - 19    14

    ↓  1     5   - 14  

   ------------------------

     1  5    - 14   0

quotient is x² + 5x - 14

equating quotient to zero

x² + 5x - 14 = 0

(x + 7)(x - 2) = 0

equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

then zeros are x = - 7, x = 2 , x = 1

Answer:

[tex]x = 1\\\\x =2\\\\x = -7[/tex]

Step-by-step explanation:

[tex]~~~~~~~x^3 +4x^2 -19x +14=0\\\\\implies x^3- x^2+5x^2 -5x -14x+14=0\\\\\implies x^2(x-1) +5x (x-1)-14 (x-1)=0\\\\\implies (x-1)(x^2 +5x -14) = 0\\\\\implies (x-1) (x^2 +7x -2x -14) = 0\\\\\implies (x-1) \textbf{[}x(x+7) -2(x+7) \textvf{]}=0\\\\\implies (x-1)(x-2)(x+7)=0\\\\\implies x = 1,~ x =2,~ x = -7[/tex]

[tex]2 - ( - 9) - 8 \\ 2 + 9 - 8 \\ 11 - 8 \\ 3[/tex]

In the first step multiply the negative after two and the negative with 9 (negative times negative equals to positive )the according to BEDMAS from left to right do addition and subtraction

Hope it helps

Please give brainliest

Answer: D

Step-by-step explanation:

the answer is option D

[tex]\text{Given that,}\\\\~~~~~~~~\cos \theta = \dfrac 35\\\\\implies \cos^2 \theta = \dfrac 9{25}\\\\\implies 1-\sin^2 \theta = \dfrac{9}{25}\\\\\implies \sin^2 \theta = 1-\dfrac{9}{25}\\\\\implies \sin^2 \theta = \dfrac{16}{25}\\\\\implies \sin \theta = \pm\sqrt{\dfrac{16}{25}}\\\\\implies \sin \theta = \pm\dfrac 45\\\\\text{Given that,}~ 270^{\circ} \leq \theta \leq 360^{\circ}, \text{So}~ \theta ~ \text{lies in fourth quadrant.}\\\\[/tex]

[tex]\text{Which means that}~ \sin \theta ~ \text{will be negative.}\\\\\text{Hence,}~ \sin \theta = -\dfrac 45[/tex]

Hello there!

I will only explain the ones that do not appear correct to me. If you require further explanation, please let me know.

1] vertical

2] corresponding

   -> These two angles are in corresponding places on points of the lines, so they are corresponding angles.

3] alternate interior

4] alternate exterior

   -> These angles are on the "outside" of the parallel lines, and on "opposite" sides of the transversal. With this in mind, they are alternate exterior angles

5] same side interior

6] same side exterior

   -> These angles are on the "outside" of the parallel lines, and on the same side of the transversal. With this in mind, they are same-side exterior angles

Answer:

216apower4 b + 512 abpower4

Answer: y = 3/5x + 13/5

Step-by-step explanation:

To solve this you would have to use slope-point form Y − y1 = m(x − x1)

In this case, you would plugin your x and y values from your 1 point. It would look something like this. y - 2 = m(x + 1). But now the issue is we don't know our slope, To find out a slope you would use 2 - y1/x2 -x1 which would be 3/5 so, in the end, the equation would look like y - 2 = 3/5 (x + 1). Now solve for Y and your answer would be y = 3/5x + 13/5

These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29

Trigonometry expression

These are expression written as a function of sine, cosine and tangent.

Given

tanx² - 1/3 = 0

Add 1/3 to both sides

tanx² - 1/3 + 1/3 = 0 + 1/3

tanx² = 1/3

x² = arctan(1/3)

x² = 18.44

x =4.29

Hence the value of x from the given function is 4.29

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Answer:

C. All real numbers

The correct option that represents Causation is; D: as a total number of family member increases the amount of money that the family spends on food increases

Correlation is used to describe the kind of relation between two variables whereas causation is a relationship between the cause and effect.

This means that in Causation, the independent variable acts like a cause to effect the dependent variable.

Thus, the correct options as seen in the brainly linked attached is Option D: as a total number of family member increases the amount of money that the family spends on food increases

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By solving a linear equation, we will see that the total cost for renting the bus is $90.

Let's say that the total cost is C.

When there are 20 students, each student should pay:

p = C/20

When the other 10 students are added (for a total of 30) each student pays:

p' = C/30.

We know that the cost for each of the original 20 students decreased by $1.50, so:

p' = p - $1.50

Then we have 3 equations to work with:

p = C/20

p' = C/30.

p' = p - $1.50

Now we can replace the first and second equations into the third one:

C/30 = C/20 - $1.50

Now we can solve this linear equation for C:

C/20 - C/30 = $1.50

C*( 1/20 - 1/30) = $1.50

C*(30/600 - 20/600) = $1.50

C*(10/600) = $1.50

C*(1/60) = $1.50

C = 60*$1.50 = $90

So the total cost for renting the bus is $90.

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it landed in blue 14 times in 60 spins for a 14/60 = 0.2333 probability.

450 spins x 0.2333 probability = 105 times

Answer: 105

Answer:

d

Step-by-step explanation:

12÷2×3=18

..........

If the value of x is 4 cm. Then the width of the frame will be 12 cm.

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

A picture frame measures 16cm by 30cm on the outside, and 312cm^2 of the picture shows.

Let x be the increase in length and width. Then we have

      (16 - x)(30 - x) = 312

     x² - 46x + 480 = 312

      x² - 46x + 168 = 0

x² - 42x - 4x + 168 = 0

         (x - 42)(x - 4) = 0

                            x = 42, 4

The value of x can be more than 16. Then the value of x will be 4.

Then the width of the frame will be

W = 16 - x

W = 16 - 4

W = 12 cm

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The value of x from the equation 3x + 4 = 31 and x + 4 = 13 is 9.

3x + 4 = 31

x + 4 = 13

From equation (2)

x + 4 = 13

subtract 4 from both sides

x = 13 - 4

x = 9

Substitute x = 9 into (1)

3x + 4 = 31

3(9) + 4 = 31

27 + 4 = 31

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Answer:

B

Step-by-step explanation:

The shaded area is less than the equation of the line ....it is a dashed line, so the line itelf is NOT included

the equation of the line is     y =  -x + 1

so the inequality is

   y < -x+1

Answer:

y<-x+1

Step-by-step explanation:

by shading the left side of the dotted line x is negative, and the plus one is the point plotted on the dotted line, the dotted line is the cause of the < symbol, if it was a greater than or equals too the line would be solid.

Soon you will be doing slope which is y= mx + b

and graphing that, find some online or ask ur parents for help and get a jump on them early :) hope i helped  

Answer:

93 boxes will be needed.

Step-by-step explanation:

Divide 1570 ÷ 17

This gives the answer 92.35

So 92 boxes won't be enough. 0.35 of a box itsn't helpful in the real world. So you need 93 boxes.

Answer:

Step-by-step explanation:

Calculate the volume of the figure below

2*2*6 + (6-2)*2*2 =

24+4*2*2=

24+16=

40cm³

The total volume of this squared-base pyramid based on the information provided is 2666 micrometers.

The general formula to calculate the volume of a squared-based pyramid is:

Base area: 20 x 20 = 400

400 micrometers x 20/ 3 = 2666 micrometers.

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[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1244.34\\ P=\textit{original amount deposited}\\ r=rate\to 12.4\%\to \frac{12.4}{100}\dotfill &0.124\\ t=years\dotfill &3 \end{cases} \\\\\\ 1244.34=P[1+(0.124)(3)]\implies 1244.34=P(1.372) \\\\\\ \cfrac{1244.34}{1.372}=P\implies 906.95\approx P[/tex]

Answer:

8x⁵y - 6x⁴y²

Step-by-step explanation:

(2x³)(4x²y - 3xy²)

= 2x³ * 4x²y  +  2x³ * -3xy²

= 8x⁵y  -  6x⁴y²

Answer:

[3m - n = 2]

-3m - n + n = 2 + n

3m - n + 2

-3m/3 = n+2/3

m=1/3 n+2/3

Answer:

m=1/3n + 2/3

[2m + n = - 7]

-Let's solve for m.

2m+n=−7

Step 1: Add -n to both sides.

2m+n+−n=−7+−n

2m=−n−7

Step 2: Divide both sides by 2.

2m/2= −n−7/2

m= −1/2n + −7/2

Answer:

m= −1/2n + −7/2

Now It's Your Turn!!

Step-by-step explanation:

(Hope's it's Help)

[Keeps Safe]

Answer:

f(t) = 101,234

Step-by-step explanation:

Answer:

174.96cm2

Step-by-step explanation:

V=lbh

=3.6×5.4×9

=174.96cm2

I don't knowif you want it in milliliters or litres so here are both of them

milliliters = 174.96

litres = 0.17496

Step-by-step explanation:

we need the least or smallest common multiple for both numbers, 5 and 6.

this is very simple for the small numbers here, but in general we look at the prime factors of both numbers :

6 has the prime factors 2 and 3.

5 has only 5.

so, the LCM is 2×3×5 = 30.

they will meet again after 30 days.

FYI -

the LCM is for larger numbers a and b not automatically a×b. if both numbers share prime factors, the LCM can be smaller than a×b, as the LCM is using every overlapping prime factor only once.

Elyse is going to buy an around-the-world plane ticket, the number of different combinations of cities is mathematically given as

DF=960

Generally, the equation for different combinations is mathematically given as

DF=(one city from Europe)*a city from Asia 8city from Africa* city from Australia

Therefore

DF=10C1*8C1*4C1*2C1

DF=10*8*4*3

DF=960

In conclusion, the number of different combinations of cities

DF=960

CQ

Elyse is going to buy an around-the-world plane ticket. She will get to see just one city from each continent she will visit. The following table below shows the continents on her trip and how many cities she can choose from for each continent. Continent Number of cities Europe 10 Asia 8 Africa 4 Australia 3 = Continent How many different combinations of cities does Elyse have to choose from?

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The answer would be A. 1 1/5.

We have given that,

The following box-and-whisker plots represent two random samples of basketball players. The first sample represents the heights of male players in the NBA.

A simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals is chosen randomly, all with the same probability. Is a process of selecting a sample in a random way.

The second sample represents the heights of female players in the WNBA

Using the data from these random samples, compare the heights of male and female basketball players.

Write your answer in sentences complete

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Therefore, The answer would be A. 1 1/5.

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Answer:

The median height for the players in the NBA is 6 inches taller than the median of the WNBA. The overlap in the data shows that the tallest players in the WNBA are around the same height as the shortest players in the NBA.

Hey there!

Solve for f :

f = 27.9 ✅

> Given expression :

[tex] \displaystyle \frac{f}{9} = 3.1 \\ \\ [/tex]

> Multiply both sides by 9 :

[tex] \displaystyle \frac{f}{9} \times \red{9} = 3.1 \times \red{9} \\ \\ \Longrightarrow \boxed{ \green{f = 27.9}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, our answer is f = 27.9

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