Trina is saving to buy a new phone. She has two options. The first option is to put $400 away initially and save $20 every month. The second option is to put $100 away initially and save $40 every month. After how many months, m, would Trina save the same amount using either option? How much would she save with either option? Write and solve an equation to show your work.

Answers

Answer 1

Total amount saved in 1st case :

[tex]S_1=400+20t_1[/tex]

Total amount saved in 2nd case :

[tex]S_2=100+40t_2[/tex]

( Here [tex]t_1 \ and\ t_2[/tex] are number of months )

Let, after x months the amount saved in both cases is same.

So,

[tex]S_2=S_1\\\\100+40x=400+20x\\\\20x = 300\\\\x = 15\ months[/tex]

Amount saved :

[tex]S_1=400+20(15) =\$ 700[/tex]

[tex]S_2=100+40( 15)= \$700[/tex]

Hence, this is the required solution.


Related Questions

MARKING BRAINLIEST!
Two numerical patterns are shown below:

Pattern A: 6, 12, 18, 24, 30
Pattern B: 12, 24, 36, 48, 60

Select the statement that describes the numerical patterns.

A. The rule for Pattern B is "multiply by 2."
B. The rule for Pattern A is "multiply by 2."
C. Each term in Pattern B is one half the corresponding term in Pattern A.
D. Each term in Pattern A is one half the corresponding term in Pattern B.

Answers

Answer:

D

Step-by-step explanation:

D if you just multiple each by two for a you will get b

Need help ASAP
A book has 13 chapters. The mean length of the chapters is 42 pages. How many total pages are there in the 13 chapters?

Answers

Answer:

546 pages

Step-by-step explanation:

the mean is the average .So just multiply the number of pages by chapters.

1×42 for 1 chapter = 42 pages a chapter

thterefore 13×42 for 13 chapters = 546 pages

Three months later some vehicles were sold and new models have been brought into the Liberty Bike Shop. Now, there are a different number of bicycles, tandem bicycles, and tricycles in the shop. There are a total of 135 seats, 118 front handlebars (that steer the bike), and 269 wheels.

Answers

Answer:

There 68 bicycles , 33 tricycles and 17 Tandem bicycles

Step-by-step explanation:

Let B be the no. bicycles , TB be the no. of tandem bicycles and C be the no. of tricycles

No. of seats in 1 bicycle = 1

No. of seats in B bicycle = B

No. of seats in 1 Tandem bicycle = 2

No. of seats in TB Tandem bicycle = 2TB

No. of seats in 1 Tricycle = 1

No. of seats in C Tricycle = C

We are given that There are a total of 135 seats

So, B+2TB+C=135 ----1

Similarly

There are total 118 front handlers

So,1B + 1TB + 1C = 118 ----2

There are total 269 wheels

So,2B + 2TB + 3TR = 269

Substract 1 from 2

B+2TB+C-B-TB-C=135-118

TB=17

Adding 1 and 2 and substracting from 3

[2 - (1+1)]B + [2- (2+1)]TB +  [3- (1+1)]C = 269-253

- 1x17 +C= 16

C= 16 + 17 = 33

Replacing in eq. 32

1B + 17 + 33 = 118

B = 118 - 17 - 33 =  68

Hence There 68 bicycles , 33 tricycles and 17 Tandem bicycles

What is the relationship between the lines with the following equations?
2x+6y=12
y=3x−8
A) The lines are neither parallel nor perpendicular.
B) The lines are the same.
C) The lines are parallel.
D) The lines are perpendicular.

Answers

Answer:

D

Step-by-step explanation:

The answer is D because if you work the equations out the one m= - 1/3 and the other m=3

what is 6/3 + -1/6 in simplest form?

i really need help! please explain the steps if you can as well!:)

Answers

Answer:

this would be 12/6+(-1/6)

Step-by-step explanation:

if you want to solve it would be 11/6, or "1 5/6ths"

we need to first find the common denominator, which is 6, but since we multiplied the bottom by 2, we multiply the top by 2. next we just subtract the values, and i put the 1 because there is only one "6" that goes in to the bottom ,and 5 is left over.

please mark as brainlest.

Four numbers are written in a row. the average of the first two is 21, the average of the middle two is 26, and the average of the last two is 30. what is the average of the first and last of the numbers?
will give brainliest

(a) 24. (b) 25. (c) 26. (d) 27. (e) 28.

Answers

Using the 3 given means, we can see that the mean of the first and last digits is 25, so the correct option is b.

What is the average of the last two numbers?

We have 4 numbers:

a, b, c, d.

We know that:

(a + b)/2 = 21(b + c)/2 = 26(c + d)/2 = 30

And we want to get

(a + d)/2

We can write this as:

(a + b)/2 - (b + c)/2 + (c + d)/2 = 21 - 26 + 30 = 25

The correct option is b.

If you want to learn more about means you can read:

https://brainly.com/question/14532771

Please help me ASAP ...

Answers

Answer:

statements is 1,3,7,8 and reasons are 2, 4, 5, 6

Step-by-step explanation:

Answer:

<4 ~= <8 - Corresponding Angles Theorem

<2 ~= <8 - Alternate Exterior Angles Theorem

<2 ~= <4 - Vertical Angles Theorem

line I || line m - Transitive Property

starting at (0,0 0 if you were to go 10 units left and 6 units up what coordination would you end up a

Answers

Answer:

(-10, 6)

Hope this helps! Please mark Brainliest!

Can someone help me please?

Answers

Answer:

√28

Step-by-step explanation:

The diagonal of a square is √2 times the side length.

1.

For BD = 4, AD = 4/√2 and AE is half that, or 2/√2 = √2.

  The length of AE is √2.

__

2.

The area of the square is the square of the side length:

  Area = AE² = (2√2)² = 8

_____

Additional comment

The area of a quadrilateral in which the diagonals are perpendicular is found to be half the product of the diagonal lengths. Here, that would be ...

  1/2(4)(4) = 8 . . . square units

Jane's company makes solid metal balls for various industrial uses. A customer wants lead balls that have a diameter of 6 in. If Jane must make 80 of these balls, how much lead will she need? Use 3.14 for , and do not round your answer.​

Answers

Answer:

9043.2 inches³

Step-by-step explanation:

the volume of a sphere is (4÷3)πr³

the radius is 6÷2=3

so each ball needs (4÷3)(3.14)(3)³=113.04 inches³ of lead

113.04×80=9043.2

Use the algebra tiles to model x – 2. Then choose the answer that describes the correct tiles. One blue x tile and two orange tiles one orange x tile and two blue – tiles one blue x tile and two blue – tiles one orange x tile and two orange tiles.

Answers

The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles

What are algerbra tiles?

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x -2.

Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.

Using algebra tiles provides a more visual way for us to solve our problems.

The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles

Hence, the correct statement which describe about the algerbric tile one orange x tile and two blue – tiles

To know more about algerbra tiles click the link given below.

brainly.com/question/81876

Answer:

its B

Step-by-step explanation:

Answer plsssssssssssssss

Answers

Answer:

the answer is 3

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Lines a and b are perpendicular. The slope of line a is -2. What is the slope of line
b?

Answers

Answer:

[tex]\sf\boxed{ \sf \dfrac{1}{2} \ is \ the\ slope }[/tex]

If lines are parallel or tangent, the slope remains same.

[tex]\sf \large\boxed{\sf m_1 \rightarrow m_2}[/tex]

If lines are perpendicular or normal, the slope becomes negatively inverse

[tex]\sf \large\boxed{\sf m_1 \rightarrow -(\frac{1}{m_2} )}[/tex]

With this Here the line a is perpendicular to line b,

therefore using formula: [tex]\sf \large {-(\dfrac{1}{-2} )} \rightarrow \dfrac{1}{2}[/tex]

For more briefings on parallel and perpendicular lines:

brainly.com/question/12076533

Peter scored 151515 goals during his second soccer season as a forward. He scored 666 fewer goals during his first season. The team as a whole scored 444 times as many goals as Peter during the two seasons. How many goals did the team score during the two seasons?

Answers

Answer:

96

Step-by-step explanation:

Total goals scored by peter in second season = 15

In first season he was said to have scored 6 fewer goals. 15-6 = 9

The team as a whole scored 4times as much as peter did.

Let's call the total number of goals peter scored , T

So t = 15 + 9 = 24

4 times as much as peter = 4 x T

= 4x24

= 96 goals in both seasons were scored by the team.

Multiplying startfraction 3 over startroot 17 endroot minus startroot 2 endroot endfraction by which fraction will produce an equivalent fraction with a rational denominator? startfraction startroot 17 endroot minus startroot 2 endroot over startroot 17 endroot minus startroot 2 endroot endfraction startfraction startroot 17 endroot startroot 2 endroot over startroot 17 endroot startroot 2 endroot endfraction startfraction startroot 2 endroot minus startroot 17 endroot over startroot 2 endroot minus startroot 17 endroot endfraction startfraction startroot 15 endroot over startroot 15 endroot endfraction

Answers

The faction expression with which it produces an equivalent fraction with a rational denominator is [tex]\dfrac{\sqrt{17}+\sqrt{2}}{5}[/tex].

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

We have the expression given below.

[tex]\dfrac{3}{\sqrt{17} - \sqrt2}[/tex]

Multiple and divide the expression by [tex]\sqrt{17} + \sqrt{2}[/tex]. Then we have

[tex]\dfrac{3}{\sqrt{17} - \sqrt2} \times \dfrac{\sqrt{17} + \sqrt2}{\sqrt{17} + \sqrt2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{(\sqrt{17})^2 - (\sqrt{2})^2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{17 - 2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{15}\\\\\\\dfrac{\sqrt{17} + \sqrt{2}}{5}[/tex]

More about the fraction number link is given below.

https://brainly.com/question/78672

Answer:

b

Step-by-step explanation:

what is the answer to x2-49=0 (must show work)

Answers

2x-49=0

—> 2x=49

—> 2x 49
— = —
2 2

—> x=24.5

Answer:

x = 7, x = -7

Step-by-step explanation:

Hi there!

We are given the following equation:

x²-49=0

And we want to solve it for x

x²-49 is actually written in the difference of squares formula, which is a²-b²=(a+b)(a-b)

In this case, x² and 49 represent a² and b², so we'll need to find a and b

For x², we need to find which number or variable multiplies itself to equal x²; in this case, it will be x (x*x=x²)

For 49, we need to find which number multiplies itself to equal 49; in this case, it will be 7 (7 * 7 = 49)

Thus, a in this case is x, and b is 7

Now substitute these values into the formula.

(a+b)(a-b)= (x+7)(x-7)

Now set (x+7)(x-7) (which is x²-49, just expanded out) equal to 0

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

Now using zero product property, split and solve:

x+7=0

subtract 7 from both sides

x=-7

x-7=0

Add 7 to both sides

x=7

Therefore, the answer is x = 7, x = -7 (there are 2 answers here that work!)

Hope this helps!

See more on the difference of squares here: https://brainly.com/question/1414397

A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material. Isosceles triangles K I T and K E T are connected at side K T. The length of K T is 10 inches. The length of sides K E and E T are 8 inches. The lengths of sides K I and I T are 6 inches. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch. 31 square inches 34 square inches 48 square inches 62 square inches.

Answers

The material needed for the kite is the area of the kite

The amount of material needed for the entire kite is 48 square inches

How to determine the amount of material

The given parameters:

KI =6 inches

ET = 8 inches

KT=10 inches

Area of ΔKIT = 17 square inches

Start by calculating the area of the bottom triangle using:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * KI * KT

This gives

Area = 0.5 * 6 * 10

Area = 30

The amount of material used is then calculated as:

Material = Area of the bottom triangle + Area of ΔKIT

This gives

Material = 30 + 17

Material = 47

This is approximately 48

Hence, 48 square inches of material is used for the entire kite

Read more about quadrilaterals at:

https://brainly.com/question/3183791

Answer:

The answer is 48 square inches or option C on EDG

Step-by-step explanation:

:)

2 1/3 - 1/3

Easy question

Answers

Answer:

the answer is 2

Step-by-step explanation:

just subtract 2 -

Brainliest will be named if answer is correct

Answers

Answer: Choice D)

6 unit cubes and 18 smaller cubes of volume 1/27 cubic inches

=========================================================

Explanation:

Block A = unit cube that has side length of 1 inch

Block B = cube that has side length 1/3 inch

Block B has a volume of (1/3)*(1/3)*(1/3) = 1/27 cubic inches

If we have 180 of block B, then

180*(1/27) = 180/27 = 6.6667 approximately

The first 6 before the decimal point tells us we have 6 block A's. This is the same as saying that we have 6 cubic inches so far.

The 0.6667 at the end means we have 0.6667*27 = 18.0009 = 18 block B's

So we have 6 unit cubes (block A) and 18 smaller cubes (block B) that have a volume of 1/27 cubic inches

--------------

Another way to look at it

180/27 = (162+18)/27

180/27 = 162/27+18/27

180/27 = 6+18/27

180/27 = 6 remainder 18

The last line can also be found through using long division.

The 6 refers to 6 unit cubes and the remainder 18 is the left over 18 smaller blocks.

Answer the question below!!! For brainliest!!

Answers

Answer:

4 students

Step-by-step explanation:

4 students are in the middle of the diagram, which means that they like all three colors evenly

What is the math answer 1/8 x 1/3?

Answers

Answer:

1/8 x 1/3 = 1/24  :)

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

take

1/8 x 1/3

so 1x1 = 1

1/

then 8x3=24

1/24

EXTRA POINTS! You scored 74, 88 and 82 on three tests. Write and solve an inequality to find the minimum score you need
to earn on the fourth test so that your mean test score is at least an 84. Please show process!

Answers

Answer:

You would at least a 90 to average out your score to an 84

but I dont know how to get the inequality sorry

I hoped this helped a little

Step-by-step explanation:

Fisrt you will need to find the average of the numbers by adding them up and dividing by 3 ( because there are 3 numbers )

which would give you 81

then you have to get at least above an 81 to make it go higher but you may have to do a little more than that there for 90 is what you need

Challenge An arts academy requires there to be 5 teachers for every 95 students and 6 tutors for every 48 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 80 students? ​

Answers

Step-by-step explanation:

T : S

5 : 95

1 : 19

Tu : S

6. : 48

1. : 8

10 : 80

There are 19 students per teacher.

There are 8 students per teacher.

The school will need 10 tutors if there is 80 students.

Please help me out And show work

Answers

Answer:

D

Step-by-step explanation:

because 4 quarters is 100 and 3 quarters is 75 so 4 and 3 quarters is 7 quarters and that would give you 175 so if you add both 200 and 175 that gives you 375

Isabella has found that she stays the fittest by running various distances and terrains throughout the week. On Mondays she runs 2.5 miles, on Tuesdays 4.6 miles, on Thursdays 6.75 miles, and on Saturdays 4.8 miles. What is the average distance Isabella runs on each of the days that she runs? Round to the nearest hundredth of a mile

Answers

Answer:

4.59miles

Step-by-step explanation:

Given that the total number of days she run is

monday, tuesday, thursday, saturday= 4

and the number of miles is

2.5,4.6,6.75,4.8

the total number of miles is

2.5+4.6+6.75+4.8=18.35 miles

the average is given as = total miles/number of days

average= 18.35/4

average= 4.587

to the nearesth hundreth

average= 4.59miles

Please help me on this question

Answers

Answer:

Step-by-step explanation:

The sample space is just A, B, C, D, E, F.

The probability of choosing B, C, E can be found as follows:

There are 3 desired possibilities: picking B, picking C, or picking E.

There are 6 total possibilities (from the sample space)

So the probability is 3/6 = 1/2.

Determine whether the lines are parallel, intersect, or coincide.

Answers

Answer:

They intersect :)

Step-by-step explanation:

Hope this helps!

URGENT!!! Please help me
WILL MARK BRAINLIEST

Answers

What is the question

Answer:

what thing i help you

Step-by-step explanation:

what question

posting one last time, please help

Answers

Answer:

[tex]f^{-1}(x)=\sqrt{x+1}-3[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=y=x^2+6x+8[/tex] with the domain restriction [tex]\{x\geq -3\}[/tex].

And we want to find the inverse of our function.

To find the inverse of our function, we take the following steps:

1) Swap x and y. 2) Solve for y.

Therefore, our inverse will be:

[tex]x=y^2+6y+8[/tex]

First, let's subtract 8 from both sides. So:

[tex]x-8=y^2+6y[/tex]

To solve for y, we can complete the square. To complete the square, we:

1) Divide the coefficient of the b term by 2. 2) Square that. 3) Add that number to both sides.

Our b term is 6. [tex]6/2=3[/tex], and [tex]3^2=9[/tex]. So, we will add 9 to both sides. This yields:

[tex](x-8)+9=(y^2+6y+9)[/tex]

Simplify the left. Complete the square on the right. So:

[tex]x+1=(y+3)^2[/tex]

Take the square root of both sides and solve for y:

[tex]y+3=\sqrt{x+1}\Rightarrow y=\sqrt{x+1}-3[/tex]

Subtract 3 from both sides. So, our inverse is:

[tex]f^{-1}(x)=\sqrt{x+1}-3[/tex]

Part 2)

See below for graph.

Here is also a good time to reinforce the idea of inverses. Notice that the domain of our original function f(x) is [tex]x\geq-3[/tex]. So, this means that the range of f(x) is (looking at the graph) is [tex]y\geq-1[/tex].

When we find the inverse, we will flip the domain and range. Therefore, the domain of our inverse function will be the range of our original function, and the range of our inverse function will be the domain of our original function.

From the graph, we can see that f⁻¹(x) has a domain of [tex]x\geq-1[/tex] and a range of [tex]y\geq -3[/tex]. Therefore, their domain and range are indeed opposites.

And we're done!

3(2x+1)+7=6x-3-2(2-4x)
What is x?
Give as an improper fraction in its simplest form

Answers

Answer:

Step-by-step explanation:

Use distributive property:a*(b +c) = (a*b) + (a*c)

3(2x + 1) + 7 = 6x - 3 - 2(2-4x)

3*2x + 3*1 +7 = 6x - 3x -2*2 + (-2)*(-4x)

6x + 3 + 7     = 6x - 3 - 4 + 8x

6x + 10          = 14x - 7

6x - 14x         = - 7 - 10

           -8x    = -17

              x    = -17/-8

x = 17/8

Other Questions
BKK Corporation sells headphones with a unit selling price of $200 and a contribution margin ratio of 40%. Unit variable costs are expected to increase $10 next year with no change to the unit selling price. Calculate the new contribution margin ratio. BER:Which of the following predictions about global climate change is directly related to an increase in the burning of fossilfuels?a. increased extreme weatherb. decreased food supplyc. global warmingd. falling sea levelsoo CAN SOMEONE HELP ME WITH THIS PLEASE? If less dense crust collides with less densecrust, then this must be an example ofA. continental crust to continental crust collision..B. continental crust to oceanic crust collision.C, oceanic crust to oceanic crust collision.D, a subduction zone. 6-7! help Ud commands and ud commands pls answer this all pls quickly now Decrease 16855.21 by 13.5%Give your answer rounded to 2 DP. Dilate the figure below with a scale factor of 1.5 centered at the origin and then rotate the figure 90 clockwise about the origin. A family has two cars. The first car has fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2150 miles, for a total gas consumption of 60 gallons, How many gallons were consumed by each of the two cars that week? What is the function of the noun phrase "My mother and I" in this sentence?My mother and I will be going to see the movie on opening night. appositive indirect object predicate nominative subject Please solve this equation. Find the volume of this object use 3 for pi Later high school start times have been associated with all of the following EXCEPT _____ okays here's the question Drag each expression to show whether it is equivalent to 36x+9 or 9(4x1). Kristen drinks 0.5 liter of orange juice with breakfast each day for 15 days . how many milliliters of orange juice does Kristen drink during the 15 days? Who plays lemony snicket in a series of unfortunate events. What is a optical telescope Is climate change and global warming the same thing. The ratio of left-handed students to right-handed students in Mr. Johnson's first period class is 2: 3. If there are 30 students in this class, how many are left-handed?