Alice is saving her chore money in a bank account. She makes a deposit of $13 in the first month.
Then every month, she deposits $25. Alice forms a sequence of her account balance, An where n
refers to the number of months. Which of the statements are correct about this sequence?
Select all that apply.

Alice Is Saving Her Chore Money In A Bank Account. She Makes A Deposit Of $13 In The First Month.Then

Answers

Answer 1

Answer:

Option (3) and Option (5)

Step-by-step explanation:

Alice invested $13 in the first month.

Then she deposits $25 every month.

Therefore, sequence formed by the deposit will be an arithmetic sequence.

First term of the sequence will be,

[tex]A_1=13[/tex]

Since, recursive formula formula of a sequence is given by the formula,

[tex]A_n=A_{(n-1)}+d[/tex]

Where 'd' = common difference in each term of the sequence

Recursive formula for the sequence will be,

[tex]A_n=A{(n-1)}+25[/tex]

Since, explicit formula for the arithmetic sequence is represented by the formula,

[tex]A_n=A_1+(n-1)d[/tex]

where n = number of term

d = common difference

Therefore, nth term of the sequence formed will be represented by the explicit formula,

[tex]A_n=13+(n-1)25[/tex]

[tex]A_{10}=13+(10-1)25[/tex]

      = 13 + 225

      = 238

[tex]A_{8}=13+(8-1)25[/tex]

     = 188

[tex]A_{12}=13+(12-1)25[/tex]

      = 288

Therefore, Option (3) and Option (5) will be the answer.


Related Questions


The population of a city grew from 43,209 to
45,687 in just five years. What was the percent
increase in the population to the nearest whole
percent?

Answers

Answer:

5 percent or 5.7349percent

divide 43209 by 45687 and get 1.0573491 subtract one

and get 0.0573491 make into a percentage 5.7percent depending on where you need to round.

5 people working for 6 hours per day they complete they task task in 16 days. How many days would it take 8 people if they working 4 hours per day at the same rate?

Answers

Answer:

Can complete a work in 12 days working 8 hours a day Q can complete the same work in 8 days working 10 hours a day if both p and q work together working 8 hours a day in how many days?

Step-by-step explanation:

Answer:

6 hours x 5 person sx 16 days = 480 hours to complete the work.

480/ ( 8person * 4hours) = 15days

Thank you and please rate me as brainliest as it will help me to level up

if you had to express a typical NBA player's salary with a single number (round to the nearest 100000) you would use

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Answer:

wat

Step-by-step explanation:

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Answer:

So glass 2/3 full than full 2/3 glass so full 3 than so

Step-by-step explanation:

SOURCE TRUST ME BRO

Which two angles are congruent in the figure below? Be sure to use three letters to name each angle.

Answers

Answer:

< BAD and < CAD

Step-by-step explanation: line AD bisects <BAC. When a bisector bisects an angle, it splits it into 2 equal halves

The purchase price of a camcorder is $818 what is the total price if the sales tax rate is 8.5%

Answers

I believe it would be $887.53 because the tax would be $69.53

Part B
After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
96

Answers

Answer:

I think the answer is 96%.

Answer:

If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? the bill would be $27.31, after the tip, $32.24, meaning the tip would be $4.93, and that percentage would be %18.05

Step-by-step explanation:

8 percent of 25.30 is 2.01, add that up, 27.31, subtract 27.31 from 32.24, you get 4.93, figure out the percentage and boom, you got your answer

According to Bill Nye, How many people need to be in a room for there to be 50% chance of atleast 2 people having the same birthday?a. 128 b. 56 c. 29 d. 12

Answers

Answer:

the answer is actually 23 people

Step-by-step explanation:

Bill Nye's birthday paradox can be explained in the following manner:

first we must find the probability that in a room with 23 people, no two people have the same birthday

probability of no two people having the same birthday = 365/365 x 364/365 x 363/365 x 362/365 ... you keep multiplying until 343/365 = 0.492703

so the probability that in a room with 23 people, no two people have the same birthday = 49.2703%

the probability of two people having the same birthday = 1 - probability of no two people having the same birthday = 1 - 49.2703% = 50.7297%

as
Complete the equation describing how x
and y are related.
ху
-2
-1
0
1
2
3
-8
-5
-2
1
4
y = [? ]x +
Enter the answer that
belongs in [?].

Answers

Answer:

[tex] y = 3x - 2 [/tex]

Step-by-step explanation:

The equation that describes how x

and y are related is given in the slope-intercept form, [tex] y = mx + b [/tex]

Where, m = slope, and b = y-intercept.

Let's find the value of m and b using the table of values given.

Using two of the pairs given, (-2, -8) and (-1, -5),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-8)}{-1 -(-2)} = \frac{3}{1} = 3 [/tex]

Substitute x = -2, y = -8, and m = 3 in [tex] y = mx + b [/tex] to find the value of b.

Thus:

[tex] -8 = (3)(-2) + b [/tex]

[tex] -8 = -6 + b [/tex]

Add 6 to both sides

[tex] -8 + 6 = b [/tex]

[tex] -2 = b [/tex]

Substitute m = 3 and b = -2 in [tex] y = mx + b [/tex].

The equation that describes how x

and y are related would be:

[tex] y = 3x - 2 [/tex]

What equation represents the line shown
A.y=2x+2
B.y=-2x+2
C.y=1/2x+2
D.y=1/2x+-2

Answers

The slope is negative
B. -2x+2 since it’s the only line that has a negative slope

Answer:

The answer must be either C or D but I think it is D

Step-by-step explanation:

sorry if I am wrong

What is the domain of the function for this situation?

Answers

Answer:

There is no problem. If you put the problem then i'll help

Step-by-step explanation:

⚠️⚠️⚠️⚠️NEED HELP MARKING PEOPLE AS BRAINLIST!

Answers

I believe its a reflection

Sorry if im wrong

1 A brand of cereal is usually sold in 750 g packs. During a special promotion an
extra 15% is added to each box. What will the new weight be?​

Answers

Answer:

multiply it by.15

Step-by-step explanation:

Answer:  862.50 g

Step-by-step explanation:

Find what 15% of 750  is  then add the obtained value to 750 to find the new weight.

15% * 750  = 112.5  

750 + 112.5 = 862.50

The slope- intercept form of the equation of a line is y = mx + b. When the formula is solved for m, the result is
1. y-x/b
2. y - bx
3. y-b/x
4. x/y - b

Answers

Y = mx + b
Subtract b from both sides
Y-b = mx
Divide by x to make m alone
m = y-b/x

Raul Del Valle's gross weekly salary is S615. His weekly federal withholding is S55. The Social Security tax is
6,2% of the first $97.500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay.
Each week he pays $12.40 for medical insurance. How much is deducted from Raul's weekly wages for state tax
and Medicare tax?​

Answers

Answer:

Step-by-step explanationjiuijkk8

u:

Write a different expression that has the same quotient as -3/8 and 3/8.

Answers

Answer:

x = -3/8

Step-by-step explanation:

Chad wants to order pizza for a party, and he can spend no more than $45.
He'll order 4 large pizzas and a $5 salad. How much can he spend on each
pizza if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
A. Answer: $8 or less
B. Inequality: 5x + 4 < 45

C. Inequality: 4x + 5 < 45
D. Answer: $10 or less​

Answers

Answer:

Inequality: 4x+5<45, $10 or less

Step-by-step explanation:

Sallad costs $5. Therefore, the total cost of the pizzas is $40 ( $45-$5). Then since they are 4 pizzas, you find the quotient of ($40÷4)

El valor de las variables

Answers

Answer:

25 / 2

Step-by-step explanation:

Find ( D × [tex]\frac{E}{F}[/tex] ) if D = 5, E = 10, F = 4

5 × [tex]\frac{10}{4}[/tex] = 25 / 2

Turn the sentence into an expression

5.three times the sum of two consecutive
integers

Answers

3(x+x+1)

hope this helps

Can sumone please help me w this question? It math. 10 points. What is the value of r in the equation 3r − 6 = 18?

Answers

In this problem r=4 !!!
the answer is r=8

3(8)-6=16

Alone, Brenda can dig a ditch in 5 hours. If Jack helps her, the two of them can dig
the ditch in 3 hours. How long would it take Jack to dig the ditch himself?

Brainliest if answered first

Answers

Answer:

7.5 hours

Step-by-step explanation:

1/5 in 1 hour and 1/3 in one hour

1/3-1/5 is 2/15

backwards is 15/2

7.5 hours

Hope this helps plz hit the crown ;D

Please solve: y = 2x + 5... X = 2

Answers

Answer:

2,9 or y=9

Step-by-step explanation:

So since x=2, plug it in the equation.

y=2(2)+5

y=9

In a coordinate, it would be 2,9

Answer: y = 9

Step-by-step explanation: Substitute the value of x, which is 2, into the equation. 2 multiplied by 2 equals 4, and 5 plus 4 equals 9, thus y equals 9

a 38.6 kg is a marble slab is shown above. what is the density

Answers

The question is incomplete. The dimension of the marble slab is 23 cm by 17 cm by 4 cm.

Solution :

Given

The mass of the marble slab, m = 38.6 kg

                                                    = 38600 g

Length, l = 23 cm

breadth , w = 17 cm

Thickness, h = 4 cm

Therefore, volume of the slab is V = 23 x 17 x 4

                                                         = [tex]$1564 \ cm^3$[/tex]

We know,

[tex]$\text{density}= \frac{\text{mass}}{\text{volume}}$[/tex]

          = [tex]$\frac{38600}{1564}$[/tex]

          = [tex]$24.7 \ g/cm^3$[/tex]

Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?

Answers

Answer:

A) 120

Step-by-step explanation:

A factorial is represented with an !

Ex: 7! = 7*6*5*4*3*2*1

In this case, we would use 5! which equals 120.

120 should be your answer.

The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.

(a) Is C a function of F? Yes, C is a function of F. No, C is a not a function of F.

(b) What is the mathematical domain of this function? (Enter your answer using interval notation. If C is not a function of F, enter DNE.)

(c) If we consider this equation as relating temperatures of water in its liquid state, what are the domain and range? (Enter your answers using interval notation. If C is not a function of F, enter DNE.) domain range

(d) What is C when F = 71°? (Round your answer to two decimal places. If C is not a function of F, enter DNE.) C(71) = °C

Answers

Step-by-step explanation:

The question is wrong. The correct equation is :

[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex]

We know that the equation gives the relation  between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

[tex]0=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=32[/tex]

And for C = 100 :

[tex]100=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=212[/tex]

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by [tex]F=71[/tex] and find the value of C ⇒

[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒

[tex]C=(\frac{5}{9})(71)-\frac{160}{9}[/tex]

[tex]C=\frac{65}{3}[/tex] ≅ 21.67

C(71) = 21.67 °C

a. Yes, C is a function of F.

b. Domain of the function is: ( - ∞ , + ∞)

c. Range of function C is: (0, 100)

the domain of function C is: (32, 212).

d. [tex]\mathbf{C(71) = 21.67^{\circ}C}[/tex]

Range and Domain of A Function

The domain of a function is the input value, while the range is the corresponding output value.

a. Given the equation of the function as, [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex], this means that, the value of C is dependent on the value of F, therefore, the answer is, Yes, C is a function of F.

b. Since no mathematical restriction was stated, therefore:

Domain of the function is: ( - ∞ , + ∞)

c. Temperature of water in its liquid state ranges between 0 and 100°C, therefore:

Range of function C is: (0, 100)

To find the domain, substitute C = 0 and C = 100, respectively, into  [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].

Thus:

[tex]0 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 32[/tex]

[tex]100 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 212[/tex]

Therefore, the domain of function C is: (32, 212).

d. To find C when F = 71°, substitute F = 71° into  [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].

Thus:

[tex]C(71) = \frac{5}{9}(71) - \frac{160}{9}\\\\C(71) = \frac{65}{3} \\\\\mathbf{C(71) = 21.67^{\circ}C}[/tex]

Learn more about domain and range of function on:

https://brainly.com/question/10197594

What is 1/3 of 4/5?

Answers

Answer:

0.26

is the answer

find the volume of the prism

Answers

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

Step-by-step explanation:

The volume of the prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively is 120 inches².

A prism is a 3-D geometric shape that has two identical and parallel polygonal bases connected by a series of rectangular or parallelogram-shaped faces (also known as lateral faces).

As it is known that the volume of a prism is obtained by multiplying the area of the base and the height, i.e.,

Volume = area of the base × height

Also,

Area of the base = length × breadth

So,

Volume = length × breadth × height

             = 10 × 4 × 3

             = 120 square inches.

Therefore, the volume of the rectangular prism is 120 inches².

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ6

The complete question is as follows:

Find the volume of the rectangular prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively.

When multiplying more than two integers, describe how you know the sign of the product

Answers

Answer:

The number of negative integers given determines the sign of the product.

Step-by-step explanation:

The sign of the product could either be negative or positive. This depends on the number of negatively directed integers in the given integers to be multiplied. Since all integers are directed numbers i.e either positive whole numbers or negative whole numbers.

Thus to know the sign of the product, if the number of negative integers is even, then the product would be positive. But if the number of negative integers is odd, the product would be negative.

Therefore, the number of negative integers given determines the sign of the product.

Solve the equation for m. 7(m+5)=21 m = -2 m = 2 = m= 9​

Answers

Answer:

I'm thinking it's 9

Step-by-step explanation:

One number is 4 more than 3 times another. Their sum is 16. Find the two numbers.

Answers

I think the answer is 4 + 3x = 16
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