Greta is opening a savings account. She starts with $100 and plans to add $50 each week. How do you write an equation she can use to calculate the amount of money she have after any number of weeks. How much money will she have after 1 year?- what is the unit rate of change for this situation

Answers

Answer 1

Answer:

100+50n

n stands for the number of weeks

There are about 52 weeks in a year, so

100+50(52) = 2700

Greta would have $2700 after 1 year


Related Questions

what is 6000 divided by 40

Answers

Answer:

150

Explanation:

Alright so basically, 150 x 40 = 6000, right? So you want to find out how to find it using the division process. It is a whole number with no fractional part. As division with remainder the result of 6000 ÷ 40 = 150 R 0.

6000 divided by 40 ⇒ 150.

Here given that,

6000 is divisible by 40

since we know that,

Division is a process of repeated subtraction. It is the inverse action of multiplication. It is characterised as the formation of equal groupings. When we divide numbers, we split them down into smaller amounts so that the multiplication of those smaller numbers equals the larger number taken.

6000 is divisible by 40 we get,

⇒ 6000/40

⇒ 150

So, the quotient is 150

Hence,

After dividing 6000 by 40 we get 150.

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PLEASE HELLLLP ME, SAT PREP QUESTION

Answers

Your answer would be D

Answer: It would be D. 22.5°

Have a nice day!

17. Scarlet made a dive off a 10-ft platform. Her height above the surface of the pool t
seconds after leaving the platform can be modeled in the graph shown. Which of these
statements is NOT true about Scarlet's dive?
A. After 1 second, her height is 42 meters.
B. She reaches her maximum height at 1.5
C. Her maximum height is 46 meters.
D. She hits the water at 3 seconds.
O A
OB
O C
OD
40
30
20
10
1
2
3

Answers

Given the attached graph, the statement that is NOT true about scarlet's dive is that "She hits the water at 3 seconds." (Option D) See the explanation below.

What is a graph?

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In this scenario, the relationship represented is between Scarlet's descent from a 10-foot platform and the time it takes her to complete the trajectory from point of dive to point of reaching the water.

Hence, it is clear from the graph attached that Scarlet hits the water at 3.25 seconds.

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1.8.7 Check Your Understanding
Amala is copying XY.
After drawing an arc with the compass from the first point of the construction, the next step is [DROP DOWN 1].
Drop Down 1
Y
pick a point on the arc that will be the second endpoint of the new segment
Select a Value
adjust the compass width to equal the length of XY
use a straightedge to draw a line segment from the new points
pick a point on the arc that will be the second endpoint of the new segment

Answers

The next step after drawing an arc with the compass from the first point of the construction will be, to pick a point on the arc that will be the second endpoint of the new segment. (a)

To copy a line we have to follow a few steps of the procedure.

The steps are;

Adjust the compass width to equal the length of XY.Draw an arc with the compass from the first point of the construction.Pick a point on the arc that will be the second endpoint of the new segment. Use a straightedge to draw a line segment from the new points.The newly constructed line is exactly equal to the given line.

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a magician charges a $30 fee to cover travel and expenses, plus $19.99 per hour. write an equation to represent the relationship between h, the number of hours, and t, the total charge for the magician.

Answers

Answer:

t = 19.99h + 30

Step-by-step explanation:

t is the total cost and h is the hourly charge.  The 30 is a one time fee.

please I need help with algebra 2!
photo for questions
8 and 9! ​

Answers

Answer:

I need more information to solve this.

Step-by-step explanation:

In a game
of ice hockey, the hockey puck took 0.6 second to travel 66 feet to the goal line. Determine the
the average speed of the puck in feet per second.

Answers

Answer:

The average speed of the puck is 110 ft per second.

Step-by-step explanation:

Using the d = st formula to find distance when given the speed and time, you can rewrite it to be s = d/t.

When you substitute the values in, you get s = 66/0.6, which is 110.

Hope this helps.

P.S. Mark as brainliest!

Write an equation and the answer.

A certain number was multiplied by 5, then decreased by 3, then halved. The result was 0.3 less than the original number. What was the original number?

Write in this format:
If the original number is x, the equation will be _; x=_.

Answers

I hope this was helpful.

The original number is 0.8.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number be x.

A certain number was multiplied by 5, then decreased by 3, then halved. The result was 0.3 less than the original number.

So, the mathematical expression is

1/2( 5x- 3) = x- 0.3

Now, solving for x

Multiply both side by 2

5x-3 = 2x- 0.6

5x- 2x= -0.6 + 3

3x= 2.4

Divide both side by 3

3x/3 = 2.4/3

x= 0.8

Hence, the original number is 0.8.

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Identify the vertex of the quadratic function given by the equation f(x) = -x² + 8x - 14.

Answers

Answer: (4, 2)

Step-by-step explanation:

1) Identify the values of a, b, and c.

a = -1

b = 8

c = -14

2) Use the vertex formula to find the x-value of the vertex.

[tex]{\displaystyle x={\frac {-b}{2a}}}[/tex]

[tex]{\displaystyle x={\frac {-8}{2(-1)}}}[/tex]

[tex]{\displaystyle x={\frac {-8}{-2}}}[/tex]

[tex]{\displaystyle x=4[/tex]

3) Plug the value into the original equation to get the y value.

f(x) = -x² + 8x - 14

f(x) = -(4)² + 8(4) - 14

f(x) = -(16) + 32 - 14

f(x) = 2

3) Put it in an ordered pair

(4, 2)

d) Work out 7½ ÷ 3 ²/3
Give your answer as a mixed number.

Answers

The answer is given above

Then, find an equivalent ratio where the number of skateboards is 50.

Answers

The equivalent ratio of longboard  3 : 10

What is Ratio ?

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

Given:

Long-boards        A           30

Skateboards        50        100

Find:

An equivalent ratio where the number of skateboards is 50.

Now,

⇒ Equivalent ratio = Long-boards / Skateboards

⇒ Equivalent ratio = 30 / 100

⇒ Equivalent ratio = 3 / 10

Now,  Equivalent value of Long-boards = Equivalent ratio × Number of skateboards

Equivalent value of Long-boards = [3 / 10] × 50

Equivalent value of Long-boards = 15

Then the ratio will be :

15 / 50 = 3 / 10

or, 3:10

Hence, equivalent ratio where the number of skateboards is 50. will be 3:10

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pls help!
9. From a standard deck, how many five-card
hands contain the following?
a) only black cards
b) all face cards
c) no hearts
d) two red and three black cards
e) one face card

Answers

Your answer would be d

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y
=

16
x
2
+
170
x
+
61

Answers

Answer:

  10.97 seconds

Step-by-step explanation:

You want to know when a rocket will hit the ground if its height is given by y = -16x² +170x +61, where x is seconds after launch.

Quadratic Formula

The formula for the solutions of a quadratic equation is ...

  [tex]\text{for }ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

When we apply this to the equation y=0, we have ...

  [tex]x=\dfrac{-170\pm\sqrt{170^2-4(-16)(61)}}{2(-16)}=\dfrac{170\pm\sqrt{32804}}{32}\\\\x\approx 10.97\quad\text{seconds}[/tex]

The rocket will hit the ground after about 10.97 seconds.

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Bette used 3 jumbo cans of frosting to frost 105
cupcakes for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an
additional 175 cupcakes. How many jumbo cans of frosting would she need to frost 280
cupcakes?

Answers

The jumbo cans of frosting would she need to frost 280 cupcakes is 8 cans.

What is addition?

Addition simply means the sum of the numbers that are given.

In this case, Bette used 3 jumbo cans of frosting to frost 105 cupcakes for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an additional 175 cupcakes. This implies that the total cupcakes will be:

= 105 + 175 = 280

In this case, the cans used will be the addition of the cans above. This will be:

= 3 + 5

= 8 cans

This shows the concept of addition.

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which value of V makes 12 equals 12 + V - 8 / 2 a true statement

Answers

[tex]12\text{ = 12+}\frac{v-8}{2}[/tex]

To determine the value of v that makes the equation true, we have to solve the equation and obtain the value of v

[tex]\begin{gathered} 12\text{ = 12+}\frac{v-8}{2} \\ \text{subtract 12 from both sides} \\ 0=\frac{v-8}{2} \\ \text{cross multiply} \\ 0=\text{ v-8} \\ \text{add 8 to both sides} \\ 8=v \\ or\text{ } \\ v=8 \end{gathered}[/tex]

The value of v that makes the equation true is v=8

Pls tell me the answer thank you

Answers

Answer:

Third option

Step-by-step explanation:

The intercept x-intercept of f¹(x) is 1 and y-intercept of f(x) is also 1.

The table below shows the gender and type of movies they prefer to watch.MaleFemale829418464891Horror MoviesSuspense MoviesComedy MoviesWhat is the approximate probability that a person will be a female and prefer suspense movies?

Answers

First, we must find the total of females, it will be

[tex]T=94+46+91[/tex]

Now we must look at the table how many females prefer suspense movies, it's

[tex]S=46[/tex]

Now we do the quotient between the females that prefer suspense by the total of females:

[tex]\begin{gathered} P=\frac{46}{94+46+91} \\ \\ P=\frac{46}{231} \\ \\ P=0.199134199 \end{gathered}[/tex]

Rounding it, we can say that approximately,

[tex]P\approx0.2[/tex]

Or 20% of the females prefer suspense movies

Will give brainlest:)

Answers

Answer:

1/9

Step-by-step explanation:

-1/9  + 2/9

Since the denominator is the same, we can add the numerators

(-1+2)/9 = 1/9

Lin knows that angle A is congruent to angle D. She claims that triangles ABC and DEF
must be similar. Convince Lin that the triangles are not similar.

Answers

In order to determine similarity between two triangles, you need at least 2 angles to be congruent. If only 1 angle is congruent, the triangles are not similar. This is true because if 2 of the angles are congruent, then the remaining angle must be congruent also.
E.g. ∠A and ∠D both equal 90°, but ∠B and ∠C = 45°. While, ∠E = 30° and ∠F = 60°.

If p and q vary inversely and p is 5 when q is 4, determine q when p is equal to 10.

Answers

If p and q vary inversely and p is 5 when q is 4, the value of q when p is equal to 10 is 2.

What is an inverse variation?

An inverse variation can be defined as a type of proportionality which shows the relationship that exist between two (2) distinct variables, wherein, as the value of one variable increases, the value of the other variable decreases and vice-versa.

Mathematically, an inverse variation can be modeled or represented by this expression:

p ∝ 1/q

p = k/q

Where:

p and q are the variables.k represents the constant of proportionality.

Next, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:

k = pq

k = 5(4)

k = 20

Now, we can determine the value of q:

q = k/p

q = 20/10

q = 2.

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Hamza is graphing the parabola represented by this equation. 3x-6y^2+6y=0
The answer is below!!!

Answers

Hamza should draw the vertex at (-0.5, 0.5), the directrix at -0.625, and the focus at (-0.375, 0.5). The parabola will open to the right

The given equation is 3x-6y²+6y=0.

What is the parabola?

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Right

Vertex: (-1/2, 1/2)

Focus: (-3/8, 1/2)

Axis of symmetry: y=1/2

Directrix: x=-5/8

The coordinate points to plot (-1/2, 1/2), (0.5, 1.21), (0.5, -1.21), (1.5, 1.5) and (1.5, -0.5).

Therefore, Hamza should draw the vertex at (-0.5, 0.5), the directrix at -0.625, and the focus at (-0.375, 0.5). The parabola will open to the right.

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The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A.-4
B.25
C.-18
D.0

Answers

In the quadratic function, the discriminants with no x-intercepts are (A) -4 and (C) -18.

What is a quadratic function?f(x) = ax² + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" shape.

So, there are no x-intercepts on the graph of a particular quadratic function.

As is common knowledge, if a graph lacks an x-intercept, it will either end above or below the x-axis.This quadratic function has imaginary zeros.

Discriminant= D

y = ax² + bx + cD = b² - 4ac

For imaginary zeros, D must be negative.

The given option (A) and (C) which are -4 and -18 are negative and hence are the Discriminant with no x-intercepts.

Therefore, in the quadratic function, the discriminants with no x-intercepts are (A) -4 and (C) -18.

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What is the equation in slope-intercept form of the line that passes through the point (−3,0) and is parallel to the line represented by y=3.2x+7.3

Answers

The equation in slope intercept form of the line passes through the point (-3,0) and is parallel to the line represented by y = 3.2x+7.3 is y = 3.2x+9.6

The equation of the line that parallel to the line

y = 3.2x+7.3

Slope intercept form of the line

y = mx+b

y is the y coordinate

x is the x coordinate

m is the slope of the line

b is the y intercept

Compare it with the equation

The slope of the line m = 3.2

Point slope form of the line passing through the points (-3,0) with the slope of the line 3.2

[tex]y-y_{1}=m(x-x_{1} )[/tex]

Substitute the values in the equation

y-0 = 3.2(x-(-3)

y = 3.2(x+3)

y = 3.2x+9.6

Hence, the equation in slope intercept form of the line passes through the point (-3,0) and is parallel to the line represented by y = 3.2x+7.3 is y = 3.2x+9.6

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I NEED HELP WITH THIS QUESTION

Answers

Answer:

KML and LMK

Step-by-step explanation:

a restaurant offers 4 appetizers, 8 salads, 9 entrees and 7 desserts. in how many ways can a customer select a meal, if a meal consists of an appetizer, a salad, an entree and a dessert? a) 28 b) 491,400 c) 20,475 d) 112 e) 2,016 f) none of the above.

Answers

The customer can select the meal in 2016 ways.

There are four different methods to choose an appetizer, eight different ways to choose a salad, nine different ways to choose an entree, and seven different ways to choose a dessert. Customers can choose a meal in the range of 4*8*7*9 if, according to the multiplication rule, a meal includes an appetizer, a salad, an entree, and a dessert.

x = 4 * 8 * 7 * 9 =  2016 ways.

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Convert degrees to radians:144° = __ πEnter your answer as a decimal to the tenths place

Answers

Answer:

To convert the degrees to radians

[tex]144^{\circ}[/tex]

we know that,

Radian is equivalent to the angle subtended at the centre of a circle by an arc equal in length to the radius.

we get that,

[tex]1\text{ radian}=\frac{180^{\circ}}{\pi}\text{ degrees}[/tex]

That is,

[tex]1\text{ degree}=\frac{\pi^{}}{180^{\circ}}\text{ radians}[/tex]

we get that,

[tex]144^{\circ}=144^{\circ}\times\frac{\pi}{180^{\circ}}\text{ radians}[/tex][tex]=\frac{4}{5}\pi\text{ radians}[/tex][tex]=0.8\pi\text{ radians}[/tex]

Answer is: 0.8

Tyler has 500 counters in a bag.
He gives
15 of the counters to Sam
52 of the counters to Peter
43 of the counters to Lakhdar

What fraction of the 500 counters is left in Tyler's bag?
Give your fraction in its simplest form.

Answers

Answer is 39/50 left in the bag

Step by step

He gave away 15 + 52 + 43 = 110
500 - 110 = 390 left in the bag out of 500

390/500 left in the bag
Simplified to
= 39/50 left in the bag

a number divided by 3 decreased by 7 is less than 4 times the number increased by 5

Answers

If we solve for the value of x we find that x is any value which is greater than -36/11.

What are inequalities ?

When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.

It is given in question that a required number divided by 3 decreased by 7 is less than 4 times the number increased by 5.

Let's assume the number be x.

So , x divided by 3 is x / 3 and if we subtract it by 7 , we get :

x/ 3 - 7  

Also , this value is less than 4 times the number added with 5.

i.e.,

4x + 5

So , the inequality can be written as :

[tex]\frac{x}{3}[/tex] - 7 < 4x + 5

or

x - 21  <  12x + 15

-36 < 11x

or

-36 /11 < x

or

x > -36/11

or

x is greater than -36/11.

Therefore , if we solve for the value of x we find that x is any value which is greater than -36/11.

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Solve y3 = −125.
answers are
y = −5
y = ±5
y = −25
y = ±25

Answers

I think the answer is -5

Y= -5

The blueprint for the moreno’s living room has a scale of 2 inches= 5 feet. The family wants to use a scale of 1 inch= 3 feet. What is the width of the living room on the new blueprint


Please help me it’s due at 11:59pm!!!

Answers

The width of the living room on the new blueprint is 15 feet.

How to calculate the width?

Based on the information, the scale of the original blueprint will be:

= 2 in / 5 ft

The width of the original blueprint is 6 inches, the actual width of the living room will be:

2/5 = 6/x

where x = width of living room

Cross multiply

x = 5 × 6 / 2

x = 15 feet.

The width is 15 feet.

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What are the three branches of the federal government?O executive, legislative, and judicialO executive, judicial, and senatorialO legislative, judicial, and presidentialO judicial, legislative, and congressional question 1.4 does the multimeter set to measure voltage act as a large resistance, or a small resistance? explain, based on your observations. why does it need to be designed this way? an optical instrument consist of two lenses .if the object distance for lens 1 is 12cm then the image distance is 36cm.if the height of the object for lens 2 is 5cm then the image height is 2.5cm. evaluate the combined magnification of the two lenses Your concept map should include the selection of two endocrine glands. Indicate within the concept map where these endocrine glands are located in the body, list all hormones produced by each endocrine gland, identify the target tissue for each hormone, indicate the function of each hormone produced, and demonstrate the process of negative feedback of the body in response to each hormone. Also indicate disease states whose underlying etiology (cause) is the result of increase and decreased levels of each hormone identified. write the polynomial in standard given the following zeros: x=0,i\sqrt(2),-i\sqrt(2) state how you would calculate the moment about a pivot. Give the equation and appropriate units offensive strategies group of answer choices are attempts to reduce the risk of being attacked. are used to convince other firms to seek other targets. are direct targeting/attacking of rivals. are examples of basic generic strategies. a substance that helps a reaction to take place, but does not participate in the reaction is called a(n) . activation energy reactant catalyst product Given the graph above, what is the slope of this line?Question 2 options:1.m = -22. m = 33. m = 04. m = -3/2 I really need help with this question!! How do you solve it?In 1985, they discovered a new sea creature. It was found to have an initial population of 832. Assuming the population was growing at a rate of 2.3% each year, when will the population exceed 1500? What is therange?Help meeeeeee Use the law of cosines to solve the following problem.The robot arm shown in the figure places packages on a conveyer belt. What is the distance x? Create a quadratic inequality with the roots -5 and 2. a. If Ax = b has a solution and Ay = 0, then y is perpendicular to ___. b. If Ay = c has a solution and Ax = 0, then x is perpendicular to ___. Find the range PLEASE HELP!!! EXTRA POINTS Opportunity cost is _____.the cost of business itselfthe cost of travel, entertainment and other activities that provide an opportunity for recreationthe cost of an alternative product or service that cannot be acquired because the available funds were used for another purposenone of the above 10. Find the area of the shaded region.17 yd5 yd7 yd6 yd7 yd4 yd a javelin is thrown at 28.5m/s from flat ground at a 43.2 degree angle. How long does it take to reach its maximum height? IN SECONDS Aiden is preheating his oven before using it to bake. The initial temperature of the oven is 70 and the temperature will increase at a rate of 25 per minute after being turned on. What is the temperature of the oven 13 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?HURRY PLEASE! 3 1 1 / 5 + 1 / 2 =