HURRYY!!!
Beginning with Rodney’s first month of high school, his father deposits $5 into Rodney’s savings account. Each month after the first month, his father deposits $2 more than the previous month. The total amount deposited in Rodney’s account after four years can be represented using the expression . How much total money has been deposited?
$2,496
$2,544
$2,640
$2,688

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Edge 2021

Answer 2

The sum of the 48 terms will be $2,496. Then the correct option is A.

What is the arithmetic sum of sequence?

Let a₁ be the first term, n the number of the terms, and l be the last term of the sequence.

Then the sum of all the terms will be given as,

S = [n (a₁ + l )] / 2

Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as

[tex]\rm a_n = a_1 + (n - 1)d[/tex]

Beginning with Rodney’s first month of high school, his father deposits $5 into Rodney’s savings account.

Each month after the first month, his father deposits $2 more than the previous month.

Then the first term is $5 and the common difference is $2.

The total amount deposited in Rodney’s account after four years can be represented using the expression.

Then the total number of the terms will be

n = 4 x 12

n = 48 months

Then the 48th term of the sequence will be

a₄₈ = 5 + (48 – 1) · 2

a₄₈ = 5 + 47 · 2

a₄₈ = 5 + 94

a₄₈ = 99

Then the sum of the 48 terms will be

S = 48 (5 + 99) / 2

S = 24 × 104

S = $2,496

Then the correct option is A.

More about the arithmetic sum of sequence link is given below.

https://brainly.com/question/14021449

#SPJ5


Related Questions

x + 2x +17=25 I need the answer and need do you know how to check if it's right ​

Answers

Answer:

x=8/3

Step-by-step explanation:

x+2x+17=25

3x+17=25

3x=8

x=8/3

Answer:

X = [tex]\frac{8}{3\\}[/tex]

Step-by-step explanation:

What is the value of x in the equation below?

One-third (12 x minus 24) = 16
2
6
8
10

Answers

Answer:

X=2

Step-by-step explanation:

Using distributive property: 1/3(12x-24)=16

4x- 8=16

Using oposite oporations on both sides:

4x-8=16

4x+8=16-8

4x=8

8/4=2

x=2

can I have brainliest please

Answer:

a

Step-by-step explanation:

4x > 20 Is x=12 a solution?

yes or no

Answers

no

Hope this helps

:T

:B

:D

From what we have, x can equal 12

4x > 20

20/4 = 5

x > 5

12 > 5

6m+5=m+20 pls help now

Answers

Answer:

m = 3

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

6m + 5 = m + 20

6m + 5 - 5 = m + 20 - 5

6m = m + 15

6m - m = m - m + 15

5m = 15

5m ÷ 5 = 15 ÷ 5

m = 3


PLEASE HELP !
Determine whether each equation represents a linear or a nonlinear function
Select Linear or Nonlinear for each equation

Answers

Step-by-step explanation:

Note:

Linear equations will never exponents in its equation such as

[tex] {x}^{2} \\ y = {x}^{3} [/tex]

as those equations will produce curly graphs.

Nonlinear equations will either contain exponents or logarithms (eg. ln2)

A graph of a system of two equations is shown. PLEASE HELP!!!!!

Answers

Answer:

(-4.5, 1.5)

Step-by-step explanation:

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPP

Answers

Answer:

L=74

W=77

Step-by-step explanation:

Answer:

L=74 and W=77

Step-by-step explanation:

first the area of a rectangle is length of breath

A=L X W

4514= L X 61

61L=4514

L=4514/61

L=74m

b. perimeter =2(L + W)

338=2*92+ 2W

338=184+2W

2W=338-184

2W=154

W=154/2

W=74

Choose the function that the graph represents.
Click on the correct answer.

y = f(x) = log2X
y = f(x) = x2
y = f(x) = 2x

Answers

Hi there!

[tex]\large\boxed{y = f(x) = log_{2}x}[/tex]

We can go through each given function and determine whether the graph is its representation:

y = f(x) = log₂x. The graph pictured is logarithmic as it contains a vertical asymptote (discontinuity) at x = 0.

y = f(x) = x². This equation contains a parabolic shape. This is incorrect.

y = f(x) = 2ˣ. This equation is an exponential, increasing function. This is incorrect.

Another way to check would be to use the point on the graph (1, 0), and plug the corresponding x and y values into each function.

For example:

0 = log₂(1) is correct.

0 = (1)² is incorrect.

0 = 2¹ is incorrect.

Answer:

The answer is y=f(x) = log2x

Step-by-step explanation:

took the test and got it right hope you guys do well !!

plz help i will give brainliest

Answers

Answer:

[tex] m\angle XYZ = 70\degree [/tex]

Step-by-step explanation:

By exterior angle theorem:

4x° = 2x° + 70°

4x° - 2x° = 70°

2 x° = 70°

2x = 70

x = 70/2

x = 35

[tex] m\angle XYZ = 2x\degree [/tex]

[tex] m\angle XYZ = 2\times 35\degree [/tex]

[tex] m\angle XYZ = 70\degree [/tex]

solve by factoring
x^2-10=9x

Answers

Answer:

x=10

Step-by-step explanation:

x^2 - 10 - (9x) = 0

x^2 - 9x - 10 = 0

(x - 10) + (x + 1) = 0

x= 10

x = -1

Simplify:
5 1/2 - 2 1/4
1 3/4 + 1 1/2

Answers

A) 5 1/2 - 2 1/4
5-2 = 3
1/2 - 1/4 = 1/4
Final Answer: 3 1/4 or in decimal 3.25

B) 13/4 + 11/2
35/4 = 8 3/4
Final Answer: 8 3/4 or in decimal 8.75

what foes the graph of profits as a function of the number of hats sold look like?​

Answers

the answer is D i think

There are 8 oranges, 5 apples, and 6 bananas In the fruit basket.
-Bob says the ratios of apples to bananas is 5:6
-Rob says the ratios of bananas to apples is 6:5
-Thob says that the ratios of apples and bananas to all the fruit is 11:19
Who is correct? I REALLY need an explanation.

Answers

Step-by-step explanation:

all of them are correct

there are 5 apples and 6 bananas

there are 6 bananas and 5 apples

5 apples plus 6 bananas=11

8 oranges+5 apples+6 bananas=19

so the ratio is 11:19

Answer:

they are all correct

Step-by-step explanation:

a ratio is a comparison saying that for every group of numbers that there will be another group of numbers for example

the ratio of apples to bananas is

                 number of apples->5:6<- number of bananas

so of the ratio stays the same then for every 5 apples added to the basket then 6 bananas will also be added(works other way to)

Mhanifa can you please help? I will mark brainliest!

Answers

Answer:

Property of kite used to solve this

Diagonals are perpendicularOne diagonal is an angle bisector (WY)

(20)

∠XYZ is double the ∠XYV∠XYV is complementary with ∠VXYm∠XYZ = 2(90° - 58°) = 64°

(21)

∠VZW is complementary with ∠VWZ and ∠VWZ is half of ∠ZWXm∠VZW = 90° - 50°/2 = 65°

(22)

∠ZWV is half of ∠ZWXm∠ZWV = 1/2*50° = 25°

(23)

m∠WZY = m∠VZW + m∠VZY = m∠VZW + m∠VXYm∠WZY = 65° + 58° = 123°

PLEASE HELP ME IM IN 7th GRADE

Answers

Answer:

if the whole thing equals 110, then subtract 49 from 110 and you'll get 61 and that is your answer

Step-by-step explanation:

i need help to pass math

Answers

Answer:

40.82

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

C = 2πr

81.64 = 2(3.14)r - divide both sides by 2

40.82 = 3.14r - divide both side by 3.14

13 = r

Determine the length of the hypotenuse. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

12.7

Step-by-step explanation:

[tex]9^{2}+9^{2}= 162\\\\\sqrt{162}= 12.7[/tex]


PLEASE HELP ME NOW ASAP I HAVE A MIN LEFT

Answers

Answer: B

Step-by-step explanation:

A flower shop sells two types of Iris flowers: versicolor and virginica. Often, people who buy the flowers want to know about the
petal length. The summary statistics are shown in the table.
Flower Petal Length (in mm)
Versicolor Virginica
Min
45
30
Q1
51
40
44
Median
Q3
55.5
59
47
Max
69
56
If customers want to buy the flower that has the greatest variety of petal length, which Iris should they buy?
O A. versicolor, because the minimum is greater
OB. versicolor, because the maximum is greater
OC versicolor, because the difference between the minimum and Q1 is greater
O D. virginica, because the range is greater
O E virginica, because the difference between Q3 and the maximum is greater
Hi

Answers

Answer:Hey I go to ohva the answer is c

Step-by-step explanation:I took the test

The option (C) versi-colour, because the difference between the minimum and Q1 is greater, is the correct choice.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have:

A flower shop sells two types of Iris flowers: first flower and second flower.

The data is shown in the picture.

As we know, the median is the mid-value.

The min value for the first flower = 45

The min value for the second flower = 30

Q1 value for first flower = 51

Q1 value for second flower = 40

Difference between min and Q1 for first flower = 6

Difference between min and Q1 for second flower = 10

6 < 10

Thus, the option (C) versi-color, because the difference between the minimum and Q1 is greater, is the correct choice.

Learn more about the median here:

brainly.com/question/21396105

#SPJ2

need help fast with math problem!!!!

Answers

Just put the answer unless you have to show work

pls help 1755.97809915 round to the nearest cent

Answers

Answer:

1755.98

Step-by-step explanation:

1755.97809915

1 cent is 1 hundredth of a dollar, so to round to the nearest cent means to round to the nearest hundredth.

The 7 in boldface is the hundredths place.

Drop all digits to the right of the 7.

1755.97

dropped digits: 809915

Look at the leftmost digit that was dropped (in boldface). If it is from 0 to 4, you are done, and the answer is 1755.97. If the leftmost digit that was dropped is from 5 to 9, the hundredths digit goes up by 1. Here, the first digit that was dropped is an 8, so the 7 in the hundredth place goes up 1 to 8.

Answer: 1755.98

i really need help please

Answers

Answer:

a = 4, x = 1

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , then

WX = YZ , that is

a² + 5a = 5a + 16 ( subtract 5a from both sides )

a² = 16 ( take the square root of both sides )

a = ± [tex]\sqrt{16}[/tex] = ± 4

Since a > 0 , then a = 4

Also

XY = WZ , that is

x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Since x > 0 , then x = 1

50 POINTS MARKING BRAINLIEST PLEASE HELP! Find the surface area of the cube. (2 pts correct answer, 1 pt for showing your thinking)

Answers

Answer:

150cm²

Step-by-step explanation:

Side= 5cm

So, 6x5²=6x5x5

6x5x5=150cm²

Hope it elps, plz mark me as brainliest.

A jacket that regularly sells for $153 was on sale for 40% off the regular price. What is the sale price?

Answers

Answer:

The sale price is %91.80.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

What is the best estimate for 42% of 68?

Answers

Answer:

29 when rounded up 27 when rounded down and 28.56 in genral

Step-by-step explanation:

Answer:

28 or 30

Step-by-step explanation:

42 to 40 and 68 to 70 then

hope this helps :b

Reduce your fraction into lowest terms.

Answers

21/35= 3/5 this is the lowest fraction


PLEASE HELP I GIVE BRAINLIEST

Answers

Yes, the correct answer is D
the correct answer d

Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday. The cost of the pizza and soft drinks before sales tax and tip was $47.96. What is the amount of sales tax for the bill if the rate is 7%?

Answers

Answer:

$3.36

Step-by-step explanation:

47.96×7%=$3.357

Answer:

About $3.36

47.96 x 0.07 = 3.3572 rounded up is 3.36

Estimate the correlation for this scatterplot.

Answer choices:
A) -0.95
B) 0.95
C) 0.15
D) -0.35

Answers

A Bc I think it is tbh

Which of the following is most likely the next step in the series?
000
O A.
B.
O c.
D.

Answers

The next step in the series is D
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