Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5% greater than the previous month’s total. She writes a recursive formula to describe the account balances.

Answers

Answer 1

The Common Ratio is 1.05 . Option C is the answer.

The complete question is

Which value should she use as the common ratio?

0.05

0.5

1.05

5.0

What is common Ratio ?

In a Geometric Sequence the ratio between each if the consecutive number is called the common Ratio.

Let Yui saving at the end of first month is Rs.x .

As given in the question

each month’s total is 5% greater than the previous month’s total.

Saving after second month is = First Month Total + 5% of First Month Total

= x + (5 % of x )

= x + (5*x/100)

= x + 0.05x

= 1.05x.

Yui balance is 1.05 times of Previous Month balance

Common Ratio = {Next Month }/ {Previous Month}

Common Ratio = 1.05 x / x

Common Ratio = 1.05

Therefore Common Ratio is 1.05 . Option C is the answer.

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Related Questions

© On Wednesday, Simran walked from home to the train station.
On Thursday, Simran took the bus from home to the train station.
The distance-time graphs show Simran's journey on Wednesday and Thursday.
How many minutes less was her total journey time on Thursday than on Wednesday? Need answer ASAP!

Answers

Simran's Journey was 35 minutes less on Thursday as compared to Wednesday

What is a Distance - Time Graph ?

Distance Time graph is the relationship between the distance travelled in the respective time on the x axis.

Two distance time graph is given

The Wednesday graph shows the time taken by Simran is

Total Time = 40 minutes

and

The Thursday graph shows the time taken by Simran is

Total Time = 5 minutes

Therefore Simran's Journey was 40-5 , 35 minutes less on Thursday as compared to Wednesday

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Split 120 into the ratio
2:3

Answers

Answer:

48 : 72

Step-by-step explanation:

I forgot what multiples are bc I was on vacation and I forgot lots of things I learned





I'm usually smarter​

Answers

Answer:

C. 6

Step-by-step explanation:

6*1=6

6*3=18

6*4=24

6*7=42

Hope this helps!

If not, I am sorry.

Write as an algebraic expression and then simplify if possible :

the sum of x and x+3

Answers

Answer:

2x + 3.

Step-by-step explanation:

x + x + 3

= 2x + 3.

Answer:

2x+3

Step-by-step explanation:

x+x+3=2x+3

sum means to add both expression together and we can see there are 2 x's so we can add them and get 2x+3

Select the correct answer.
Which expression is equivalent to √48x5, if x > 0?
OA. 12x³√3x
B. 4x³√3
OC. 4x²√3x
OD. 12x²√

Answers

Answer: C

Step-by-step explanation:

[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}} \sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]

In the Fig., if ABCD is a parallelogram, then the value of x is ​

Answers

Answer:

Value of x is 20.

Step-by-step explanation:

The angle opposite to 4x is also 4x.

Similarly, the angle opposite to 5x is also 5x.

So, 4x+4x+5x+5x=360

18x=360

x=360/18

x=20

Please give me brainlist.

Please help me asap 5/11

Answers

By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.

How to determine the content associated to the index of a matrix

Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.

Each element of an matrix A has an associated index with the following form:

[tex]a_{i,j}[/tex]

Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".

In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.

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How do i graph those

Answers

The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).

What is an equation?

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

Plotting the graph using geogebra online graphing tool.

The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).

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If the line segment joining the points A(4, − 5) and B(4, 5) is divided by the point P such that AP/PB = 2/5. find the co-ordinates of P.​

Answers

Answer:

Step-by-step explanation:

0P=OA+AP

    =OA+2/5(AB)
    =(4,-5)+2/5(0,10)

    =(4,-5)+(0,4)

    =(4,-1)

therefore P(4,-1)

Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)

Answers

If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

The required two-column proof is presented as follows;

Statement                                                    Reason

∠1 and ∠a are linear pair angles                Given

∠1 + ∠a = 180°                                              Linear pair ∠s are supplementary

∠2 and ∠b are linear pair angles               Given

∠2 + ∠b = 180°                                             Linear pair ∠s are supplementary

∠a and ∠b are consecutive interior ∠s      Definition

x║y                                                               Given

∠1 and ∠b are corresponding angles        Definition

∠1 ≅ ∠b                                                        Corr. ∠s formed between║ lines

∠1 = ∠b                                                         Definition of congruency

∠a + ∠b = 180°                                              Substitution property

∠a and ∠b are supplementary                    Definition

We can conclude from the proof that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal.

Therefore, the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. So, ∠a and ∠b are supplementary angles.

Therefore, If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°

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What IS the slope of a line that is perpendicular to the line y= --x + 5?
• -2
-1/2
1/2
• 2

Answers

Slopes of perpendicular lines.

Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then

k ║ l ⇔ a₁ = a₂k ⊥ l ⇔ a₁ · a₂ = -1

We have the line y = -x + 5 ⇒ a₁ = -1.

Therefore

a₂ · (-1) = -1

-a₂ = -1     Ichange the signs

a₂ = 1

Use the scatter plot to answer the question. The points in the scatter plot generally increase upward to the right. © 2018 StrongMind. Created using GeoGebra.
Which type of linear correlation is present in the scatter plot?
positive
neutral
negative
strong

Answers

The positive linear correlation is present in the scatter plot option first “positive” is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have given a scatter plot in the picture.

As we can see in the scatter plot the dots are not so close that the correlation between x and y will be weak.

If we draw a line of best fit the slope of the line will be positive, the correlation will be positive.

Thus, the positive linear correlation is present in the scatter plot option first “positive” is correct.

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to collect data about the amont of time spent​

Answers

Answer:

Probably the first one because the other two questions would be un-reliable

Step-by-step explanation:

A or survey 20 randomly selected students from each grade.

Complete the flow chart to prove 3 is congruent to 4

Answers

The flow chart is complete and the answers are given below.

What is meaning of Congruent Figures ?

Those figures that have same shape and size are called Congruent Figures.

The flow diagram will be completed as follows

∠2 ≅ ∠4 (  vertical angle theorem )

∠1   ≅  ∠2  ( Given )

∠1  ≅ ∠ 3  ( Vertical Angle Theorem)

∠3   ≅  ∠4  ( Transitive Property of congruence)

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solve this question - one half x - 18 = 2

Answers

Answer:

x=10

Step-by-step explanation:

Given: AC and BD are parallel. BX and CY are parallel. AX = DY.
Prove: AYC is congruent to DXB

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Using the ASA congruency the triangles are congruent.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

For the two of the given triangles ΔACY and ΔDXB,

∠A = ∠D {Alternate Interior Angles}∠DXB = ∠ACY {Alternate Interior Angles}AY = YD ⇒ (AX + XY) = (DY + XY) {Given AX=DY}

Since the measure of the two angles and one side of the two triangles are equal, therefore, using the ASA congruency the triangles are congruent.

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The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.

What is the greatest possible whole-number value of the congruent side lengths?

Answers

The unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is:

The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown. What is the greatest possible whole-number value of the congruent side lengths?

9 cm

10 cm

14 cm

15 cm

We have:

The longest side of an isosceles obtuse triangle measures 20 centimeters.

Let's assume the unknown side length is x:

In the isosceles obtuse triangle, two sides are congruent.

As we know the sum of the two sides in a triangle is greater than the third side length:

x + x > 20

2x > 20

x > 10

a² + b² < c²

14 will satisfy the above two inequaility.

Thus, the unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.

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The cost of the toy is expressed by the function y = 3x + 5, where x is the number of toys. If Peter bought 8 toys, find the cost of the toys.

Answers

Answer:

$29

Step-by-step explanation:

Substitute x with 8.

3(8) + 5 = 24+5 = 29

Answer: $29

Step-by-step explanation:

x = # toys

if the number of toys is 8

substitute 8 into x

y = 3(8) + 5

y = 24 + 5

y = 29


The speed of the current in a certain stream is 6 mph. If a boat travels 94 miles
downstream in the same time that it takes to travel 47 miles upstream, which best
describes the speed of the boat in still water?

Answers

The speed of the boat in still water is 18 mph.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

We know distance = speed×time.

Therefore, time = distance/speed.

Let, The speed of the boat at still water be 'x'.

Therefore, From the information,

94/(x + 6) = 47/(x - 6).

94(x - 6) = 47(x + 6).

94x - 564 = 47x 282.

47x = 846.

x = 18.

So, The speed of the boat is 18 mph in still water.

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The school basketball team has 15 players. Seven players are more than 74 inches tall, 6 players are taking honors classes, and 5 players are
both more than 74 Inches tall and taking honors classes.
If 2 players are randomly selected from the team, what is the probability that both players are more than 74 Inches tall or taking honors classes?
O A.
64
225
O B.
Oc.
O D
169
225

Answers

Answer:

A

Step-by-step explanation:

64

been having this question for a while and this app wont help

Answers

The answer is B

When there is a solid point that means it is included in the graph, so you'd use a greater/less than or equal to symbol (the one with a line under). If it's an unfilled point then it means that it is not included in the graph, so you'd use a greater/less than sign.

The x² equation is less than 2 while the linear equation is greater than or equal to 2.

We know it's the x² equation that is less than two because it has a curve in it.

Use a Maclaurin series derived in this section to obtain the Maclaurin series for the given functions. Enter the first 3 non-zero terms only.
f(x) = cos(5x2) =______+...
f(x) = sin(-pix) =______+...
f(x) = xtan-1(5x) =_____+...
f(x) = x2e-x/2 =______+...

Answers

-1(5x2) plus the points

help please ive tried with my friends and no luck

Answers

Answer:

[tex]a=5 \sqrt{7}[/tex]

Step-by-step explanation:

Pythagoras Theorem explains the relationship between the three sides of a right triangle.  The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle:

    [tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangle

Given:

b = 9c = 16

Substitute the given values into the formula and solve for a:

[tex]\begin{aligned}a^2+b^2 & = c^2 \\\implies a^2+9^2 & =16^2\\a^2+81 & =256\\a^2+81-81 & =256-81\\a^2 & =175\\\sqrt{a^2} & =\sqrt{175}\\a & =\sqrt{25 \cdot 7}\\& = \sqrt{25}\sqrt{7}\\& =5\sqrt{7}\end{aligned}[/tex]

Therefore, the measure of the third side of the given right triangle is [tex]5 \sqrt{7}[/tex]

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1. Due Now: Brittany's Builders has 20 leftover bricks. Some are red and some are white. For
each white brick, Brittany has 3 red bricks. How many of the bricks are red and how
many are white?
88

Answers

Not sure how to explain

its 5 white and 15 red

Given a sand box with dimensions of 4 feet, 6 feet and 2 feet. What is the maximum
amount of sand it can hold?

Answers

The sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.

What is a cuboid?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have a sandbox:

The length of the sandbox = 4 feet

The width of the sandbox = 6 feet

The height of the sandbox = 2 feet

Amount of sand can hold = volume of the sandbox

= 4×6×2

= 48 cubic feet

Thus, the sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.

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if the area of an isosceles triangle 56 units squared and the base is one third of the height what is the perimeter

Answers

The perimeter of the given isosceles triangle is; 725.77 units

How to find the area of a Triangle?

We are given;

Area of Isosceles Triangle = 56 units squared

Base of Isosceles Triangle = ¹/₃h where h is height

Formula for area of triangle is;

A = ¹/₂bh

A = ¹/₂ * ¹/₃h * h

A = ¹/₆h²

Thus;

¹/₆h² = 56

h² = 56 * 6

h = √336 = 18.33

Thus, base =  ¹/₃√336

Length of hypotenuse = √((√336)² + (¹/₃√336)²)

Length of hypotenuse = √(336 + (336/9))

Length of hypotenuse = 373.33

Thus, Perimeter of Triangle = 2(373.33) + ¹/₃(√336)

Perimeter = 725.77 units

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What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

Answer:

c = 37 mi

Step-by-step explanation:

Pythagorean theorem:

   To find 'c' use Pythagorean theorem.

 [tex]\sf \boxed{\bf hypotenuse^2 = base^2 + altitude^2}[/tex]

                     c² = 35² + 12²

                         =1225 + 144

                        = 1369

                    [tex]\sf c = \sqrt{1369}\\\\ c = \sqrt{37*37}\\\\ \boxed{\bf c = 37 \ mi}[/tex]

Jim began a 145 mile bicycle trip to build up stamina for a triathlon competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per​ hour, find the amount of time he spent on the bicycle.

Answers

Answer:

The amount of time he spent on the bicycle using substitution method is 4.5 hours .

Step-by-step explanation:

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

A linear equation is defined as an equation that is written in the form of Ax+By=C. It is the combination of two variables and a constant value present in them.

The first step in the substitution method is to find the value of any one of the variables from one equation in terms of the other variable.

Let the total time taken  to complete the race by bicycle be x

Let the total time taken  to complete the race by walking be y

We know,

Speed=Distance/Time

4y+30x=145

x+y=7

Using the substitution method ,

x=7-y

4y+30(7-y)=145

4y+210-30y=145

210-145=26y

y=65/26

y=2.5

So, the amount of time he spent on bicycle is x

x=7-y

x=7-2.5

x=4.5 hours

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The radius of a circle is 7 kilometres. What is the length of a 90° arc?

Answers

Answer:

Step-by-step explanation:

what is the product of (3a^2b^7)(5a^3b^8)

Answers

Answer:

when multiply with exponents you add so

(3a^2b^7)(5a^3b^8)=15a^5b^13

Hope This Helps!!!

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