Melinda has a goal of donating at least $300 to charity this year. Her mother and father each gave her $25 to help and she is selling ribbons for $5 each. What is the least number of ribbons Melinda must sell to reach her goal?​

Answers

Answer 1

Answer:

50

Step-by-step explanation:

25x2=50

300-50=250

250/5=50

50 ribbons needed :) hope this helped


Related Questions

work out the length of x​

Answers

Answer:Tes icahd

Step-by-step explanation:

Maria paid $240 for a table set after a discount of 40%. What was the original price? Use scratch paper to create a model to help solve the problem (e.g., tape diagram, table, double number line diagram, 10×10 grid).



The original price was $

Answers

Answer:

$400

Step-by-step explanation:

We see that the discount price is (100-40) = 60% of the original price

If 60% corresponds to $240, than 10% corresponds to 240/6 = $40

Since the original price is 100% = 10*10%, the original price is 10* $40 = 400.

I can't make something with scratch paper right now, i hope you will be able yourself to put the above information is a table :-)

Good luck with it!

How many units is 523 from 0?

Answers

Using proportions, it is found that the number 523 is 523 units from zero.

What is a proportion?

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the context of the problem using arithmetic operations such as multiplication and division with the unit rates of the measures.

One example of application is for the digit values of a number, as:

Each unit is worth 1.Each tenth is worth 10.Each hundredth is worth 100.Each thousandth is worth 1000.

And so on...

For the number 523 given in this problem, since each unit is worth one, the number of units that it is away from zero is given by:

523/1 = 523 units.

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PLS HELP


Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?

4 + 4 + 4 + 4


8 + 8 + 8 + 8


(Negative 1) (4 + 4 + 4 + 4)


(Negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4)

Answers

The expression shows the product of the number of ladder rungs that Yan climbed is D. (Negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4)

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given that each time Yan descends 4 rungs on the ladder.

SInce, each time the number of ladder rungs that Yan climbed is negative 4, where negative sign represent descends.

Yan made eight stops with no extra steps.

-4 x 8 = -32

It can also written as; (-4) + (-4)+(-4)+(-4)+(-4)+(-4)+(-4)+(-4)

The correct answer is D. (Negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4) + (negative 4)

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help me please can you solve this for meh

Answers

Answer: 6w^3-3+18u^2

Step-by-step explanation:

Which measuring cups do you use to measure out 1 3/4 cups if you don't have a 3/4 cup measuring cup?

1 cup, 1 cup
1 cup, 1/2 cup
1/4 cup, 1/3 cup, 1/2 cup
1 cup, 1/2 cup, 1/4 cup

Answers

Answer:

d

Step-by-step explanation:

1 = 1 cup

1/2 can be 2/4

2/4+1/4=3/4

1+3/4 = 1 3/4

The answer is D one cup plus’s one half cup plus one fourth is 1 3/4

Julie says that the constant of proportionality in the equation below is 0.45. Is Julie correct?

P = 0.45n

Answers

The constant of proportionality in the equation:

P = 0.45*n

Is k = 0.45, so we can conclude that Julie is correct.

What is the constant of proportionality?

A proportional relationship between two variables x and y is written as:

y = k*x

Where k is the constant of proportionality.

In this case, we have the variables P and n, and the proportional relationship is:

P = 0.45*n

So we can see that the value of the constant of proportionality is k = 0.45, so yes, Julie is correct.

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Qué número sumado igual da 60 que no sea 20

Answers

Answer: 30

Step-by-step explanation:

HELP IS DUE AT 10pm AND IM IN THE LAST QUESTION SOMEBODY PLEASE SOS

Answers

It decreases rapidly, then increases slowly.

Notice how the graph has a sudden drop, and then slowly makes its way back up.

HELP ASAP WILL GIVE 20 POINTS AND BRAINLIEST TO WHOEVER SOLVES THIS

The length of a bacterial cell is about 4 x 10−6 m, and the length of an amoeba cell is about 2.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits. A 6.25 x 10^2
B 2 x 10^2
C 6 x 10^1
D 16 x 10^1

Answers

The bacterial cell is 6.25 x 10 times smaller than the amoeba cell.

The length of the Bacterial cell is 4 x 10⁻⁶ meters.

The length of the Amoeba cell is 2.5 x 10⁻⁴ meters.

The length L of the bacterial cell can be written as,

L = 0.000004 meters.

Also, the length L' of the amoeba cell can be written as,

L' = 0.00025 meters.

Let us say that the bacterial cell is N times smaller than the amoeba cell.

So. we can write,

Length of bacterial cell x N = length of amoeba cell.

LN = L'

0.000004(N) = 0.00025

N = 0.00025/0.000004

N = 62.5  

So, now we can say that the length of the bacterial cell is 62.5 times smaller than he amoeba cell.

As we have to state our answer in scientific notation,

We can write 62.5 as 6.25 x 10.

Now the number of significant figure is has are three.

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Click on the graph to choose the correct answer to the equation. y ≥ 2 x + 1

Answers

The graph of the linear inequality can be seen in the image at the end.

How to identify the graph of the inequality?

Here we have the linear inequality:

y  ≥ 2x + 1

To graph this, we first need to graph the line.

y = 2x + 1

With a solid line, because we have the symbol ≥, which means that the points on the line are solutions.

Once we graphed that line, we look at our inequality:

y  ≥ 2x + 1

It says that y is larger than or equal to the values on the line, so once the line is graphed we need to shade all the region above that line.

The shaded region (and the line itself) represent all the solutions of the linear inequality.

And the graph can be seen below.

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May you guys/girls please help me I have to submit this before midnight and I do not fail because my parents will get me , so may y'all please help me out!?

Answers

Answer:

Answer down below!

Step-by-step explanation:

Let's try and find a point that we can easily start on (a point that lands perfectly on the graph)

The point that we will use is (2,2)

So, starting from there we use rise/run to get our answer

We go up 1 and over -2

So, our slope will be (since we cannot simply it...)

-1/2

Hello!

To find the slope:

 ==> need to pick two points on the line

   (x₁, y₁): (0,3)

   (x₂,y₂): (4,1)

   [tex]Slope = \dfrac{y_2-y_1}{x_2-x_1} =\dfrac{1-3}{4-0} =\dfrac{-2}{4} =-\dfrac{1}{2}[/tex]    <== Answer

Hope that helps!

rewrite this expression as an addition equation -4 3/8 - (-1 1/4)=

Answers

Given the equation:

[tex]\text{ - 4 }\frac{3}{8}\text{ - (-1 }\frac{1}{4})[/tex]

the number of cars produced when x x dollars is spent on labor and y y dollars is spent on capital invested by a manufacturer can be modeled by the equation 45 x 1 3 y 2 3

Answers

The formula in terms of x and y for dy/dx is y/ -2x

The value of dy/dx at the point (1,1) is -0.5

The question is incomplete, the full question is given below:

200 cars  can produced  when x dollars is spent on labor and y dollars is spent on capital. the equation that relates x and y is 45 x^1/3 y^2/3= 200

a. Find a formula in terms of x and y for dy/dx

b. Find the value of  dy/dx at the point (1,1). Round your answer to 4 decimal places

Part a

A formula in terms of x and y for dy/dx

We differentiate equation that relates x and y with respect to x by implicit differentiation:

=d/dx(45 x^1/3 y^2/3) =d/dx( 200)

=> 45 *(1/3) x^-2/3 y^2/3 + 45 x^1/3 2/3 y^ -1/3 dy/dx=0

=>  x^-2/3y^2/3+ 2 x^1/3 y^-1/3 dy/dx=0

=> y/x= -2dy/dx

=> log y = -2 log x +log c

=> y= x^ -2 +c

putting x=y=1

c=0

then y= 1/x^2

b) y/x= -2dy/dx

put x=y=1 we get

-1/2 = dy/dx

dy/dx =-0.5

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JP Computers produces both laptop
and desktop computers. Laptop
computers take up 2 cubic feet of
space and desktop computers take up
5 cubic feet of space. The maximum
capacity on the delivery truck is 800
cubic feet. Due to demand, they need
to load at least 300 laptop computers.
They profit $225 on each laptop and
$280 on each desktop computer. How
many of each should they load on the
truck to maximize profit?

Answers

The load each should get to maximize the profit is $67,500, $78,700 and $90,000

What Is Profit?

In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are various profit metrics that are frequently used.

Let x represent the total number of laptops and y represent the total number of desktop computers.

A laptop computer occupies 2 cubic feet, hence x laptops each use 2x cubic feet. Desktop computers take up 5 cubic feet of space, hence 5y cubic feet of room is required for 5y desktop computers.

They require 2x + 5y cubic feet in total.

Since the delivery truck's maximum capacity is 800 cubic feet,

2x + 5y <= 800.

They must load at least 300 laptops because of the demand,

hence, x >= 300

They make $225 on each laptop, which translates to $225 times as many computers. They make a profit of $280 on each desktop computer, or $280y on y desktops.

Total profit is:

P=$(225x + 280y)

Draw the inequality system (see attached diagram)

2x + 5y <= 800.

x >= 300

One of the common region's three vertices will have the most profit:

P(300,0) = 225(300) + 280(0) = $67,500

P(300,40) = 225(300) + 280(40) = $78,700

P(400,0) = 225(400) + 280(0) = $90,000

Hence, each should load $67,500, $78,700 and $90,000 on the truck to maximize profit

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I need help with this math problem. Find the distance between points J and M

Answers

Answer:

0.75

Step-by-step explanation:

in the pic

goodluck


A monthly produce box is
delivered to Ms. Jones'
door. There is an initial set
up fee of $25.00 plus
$30.00 each week. If Ms.
Jones spent $265, then
how many weeks did she
receive the produce
box?
Ahmed says eight weeks
because
25+ 30x = 265.
Amy says nine weeks
because
30+ 25x = 265.

Answers

Answer: 8 weeks

Step-by-step explanation:

Please helppp <3

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over times, x measured in seconds. During what interval(s) of the domain is the water balloon's height staying the same?

A. 0 ≤ x ≤ 2
B. 2 ≤ x ≤ 5
C. 5 ≤ x ≤ 6
D. 6 ≤ x ≤ 8

Answers

Answer:

B

Step-by-step explanation:

it shows that it doesn't go anywhere in the interval of 2 and 5, other ones would be wrong bcs it's either go up or down

Physical Science: A ball was dropped from a height of 100 meters. Its height above the ground
in meters at different times after its release is given in the table. Do these ordered pairs satisfy a
linear function? Explain.
Time (s)
Height (m)
0
1
2
100 90.2 60.8
3
11.8

Answers

Answer: Yes they do.


Consider the first 2 terms of the sequence 28, 14, ...

Determine whether the sequence is arithmetic or geometric. Explain your reasoning.


please help me with 1 and 2

Answers

1. The given sequence 28, 14 ..... will be either arithmetic or geometric sequence.

2. The common difference of the sequence 28, 14 ..... will be;

d = - 14

And, Next three terms of the arithmetic sequence are;

0, -14, -28

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The first two terms of the sequence,

28, 14 .....

Now,

Let the sequence is in arithmetic sequence, then;

28, 14 ......

The common difference of the sequence is;

d = 14 - 28

d = - 14

And, Let the sequence is in geometric sequence, then;

28, 14 ......

The common difference of the sequence is;

d = 14/28

d = 1/2

Thus, The given sequence 28, 14 ..... will be either arithmetic or geometric sequence.

2. If the given sequence is in arithmetic sequence, then;

28, 14 ......

The common difference of the sequence is;

d = 14 - 28

d = - 14

And, The nth term of the arithmetic sequence is;

⇒ [tex]a_{n} = a + (n - 1)d[/tex]

Where, 'a' is the first term and 'd' is the common difference of the sequence.

So, The 3rd term of the arithmetic sequence is,

⇒ [tex]a_{n} = a + (n - 1)d[/tex]

[tex]a_{3} = 28 + (3-1)(-14)\\ \\a_{3} = 28 - 2 * 14\\\\a_{3} = 28 - 28\\\\a_{3} = 0[/tex]

And, The 4th term of the arithmetic sequence is,

[tex]a_{4} = 28 + (4-1)(-14)\\ \\a_{4} = 28 - 3 * 14\\\\a_{4} = 28 - 42\\\\a_{4} = -14[/tex]

And,  The 5th term of the arithmetic sequence is,

[tex]a_{5} = 28 + (5-1)(-14)\\ \\a_{5} = 28 - 4 * 14\\\\a_{4} = 28 - 56\\\\a_{5} = -28[/tex]

Therefore,  Next three terms of the arithmetic sequence are;

⇒ 0, -14, -28

Thus,

1. The given sequence 28, 14 ..... will be either arithmetic or geometric sequence.

2. The common difference of the sequence 28, 14 ..... will be;

d = - 14

And, Next three terms of the arithmetic sequence are;

0, -14, -28

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The function h
(
t
)
=

0. 25
t
2
+
1. 9
t
+
17
, where h
(
t
)
is height in feet, models the height of an "angry bird" shot into the sky as a function of time (seconds). Use this function to answer the following questions. Round all answers to two decimal places

Answers

The height of an "angry bird" shot into the sky as a function of time (seconds) is h = 8.65 ft.

The height of the bird is given by the following equation

h(t)= -0.25t2 + 1.9t + 17

t= 1

   = -0.25 + 1.9 + 17

   = -8.35 + 17

h   = 8.65 ft.

The following are the three equations:

-First equation of motion: v = u + at

-Second equation of motion: s = u t + 1/2 at2

Third equation of motion: v2 = u2 + 2as

t is the time, in seconds.

h(t) is the height, in feet, which is dependent of the time.

h(t) is height in feet and t is time in seconds

then h = 8.65 ft.

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a gardener has 760 feet of fencing to fence in a rectangular garden. one side of the garden is bordered by a river and so it does not need any fencing.

Answers

The dimensions that would guarantee that the garden has the greatest possible area is 190 feet on the shorter side and 380 feet on the longer side to produce an area of 72,200 square feet.

A dimensions of a rectangle is the length of each side.

Let x = length of the shorter side

y = length of the longer side

If one side of the garden is bordered by a river and so it does not need any fencing, and assume that the longer side is this side, then the perimeter that only needs to be fenced by 760 feet of fencing materials is

2x + y = 760

y = 760 - 2x

The area of the rectangular garden is the product of the shorter side and the longer side of the garden. Hence,

A = xy

A = x(760 - 2x)

A = 760x - 2x²

To obtain the largest area possible, the first derivative of the area should be equal to zero.

A(x) = 760x - 2x²

A'(x) = 0

760 - 4x = 0

Solve for x.

760 - 4x = 0

4x = 760

x = 190

length of the shorter side = 190 feet

y = 760 - 2x

y = 760 - 2(190)

y = 380

length of the longer side = 380 feet

Solve for the greatest possible area.

A = xy

A = 190 feet(380 feet)

A = 72,200 square feet

" A gardener has 760 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. What dimensions would guarantee that the garden has the greatest possible area? "

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Boris received a $20.50 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, B
(in dollars), on the card after buying x prints is given by the following function.
B(x)=20.50-0.06.x
What is the remaining balance on the card if Boris bought 15 prints?

Answers

Answer:

$19.6

Step-by-step explanation:

B=20.50-0.06.x

B=20.50-0.06*15

B=20.50-0.9

B=19.6

1) [tex]\frac{2x-3}{3} +\frac{x-1}{5}[/tex]

Answers

Answer:

4_62

Step-by-step explanation:

its is just leave me

how dose parallelogram work

Answers

Answer:

Parallelograms are shapes with 2 pairs of parallel sides, like a square or a rhombus. Parallel means lines on a shape that never touches.

Step-by-step explanation:

Hope this helps!

P.S, brainliest? Thanks!

Renz wishes to make an open box froma square piece of cardboard with a sidethat measures 15 inches by cuttingequal squares from the four cornersand folding the sides. what will be thevolume of the box if he cuts a squarewith 2 inch sides?

Answers

2.5 inches will be the volume of the box if he cuts a square with 2 inch sides.

What is volume ?

Every three-dimensional item takes up space in some way. The volume of this area is what is being measured. The area contained by an object's limits in three-dimensional space is referred to as its volume. It is sometimes referred to as the object's capacity.

Let each side of  he square that's cut-off from each corner be represented by x.

This means that the base of the box will be of dimension of the side 15−2x while the height of the box will be x.

Thus;

Volume of box is:

V = (15 − 2x)(15 − 2x)x

V = (15 − 2x)²x

V = (4x² - 60x + 225)x

V = 4x³ - 60x² + 225x

Let's differentiate with respect to x to get;

dV/dx = 12x² - 120x + 225

Maximum value of x is at dV/dx = 0

12x² - 120x + 225 = 0

Using quadratic formula, we arrive at;

x = 2.5 or 7.5

Now, let's find the second derivative of the volume;

d²V/dx² = 24x - 120

Putting x = 2.5 gives;

d²V/dx² = 24(2.5) - 120

d²V/dx² = -60Thus, V is maximum at x = 2.5, since d²V/dx² is negative

At x = 7.5;

d²V/dx² = 24(7.5) - 120

d²V/dx² = 60

Thus, V is minimum at x = 7.5, since d²V/dx² is negative

Thus,we will use x = 2.5

Maximum volume; V = (15 − 2(2.5))(15 − 2(2.5))(2.5)

V = 10 × 10 × 2.5

V = 250 Sq.inches

Dimensions are;

(15 − 2x) = 15 - 2(2.5) = 10 inches

(15 − 2x) = 15 - 2(2.5) = 10 inches

x = 2.5 inches

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4) Krysta is attending a school orchestra concert. She sees her math teacher seated 12 meters ahead of her and her science teacher seated 9 meters to her right. How far apart are the two teachers? Submit meters Work it out Not feeling ready yet? These can help: Pythagorean theorem: find the missing leg or hypoten... (80) Distance/direction to starting point​

Answers

Pythagoras's theorem - The two teachers are both seated at a distance of 15 meters from each other.

What is Pythagoras' theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of the square with the hypotenuse (the side across from the right angle) is equal to the sum of the areas of the squares with the other two sides. The Pythagorean equation, which generally refers to the relationship between the lengths of the legs a, b, and the hypotenuse c, can be used to represent this theorem.

We are given,
the distance between Krysta and her math teacher to be 12 meters, and the distance between Krysta and her science teacher to be 9 meters

for simplicity, we'll let  
the distance between Krysta and her math teacher to be KM =12 meters
and the distance between krysta and her science teacher to be KS =9 meters we need to find the distance between the maths teacher and the science teacher, i.e. MS.

all three people's sitting arrangement makes a triangle, with them sitting on the vertex of it.

Using Pythagoras' theorem,

(KM)² + (KS)² = (MS)²

(12)² + (9)² = (MS)²

144 + 81 = (MS)²

225 = (MS)²

√225 = (MS)

thus, MS = 15 meters

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If A=B and B=C, which property let's us say A=C?

Answers

Answer:

By using commutative property, if a = b and b = c, then a = c.

Step-by-step explanation:

Answer:

translative property

Step-by-step explanation:

Marissa buys a rare gem priced at $82.00. The sales tax rate is 7.9%.
What is the tax amount to the nearest cent?
label required

Answers

The tax amount to the nearest cent:$6.478

What is Tax?

Tax is the sum of money that citizens hand up to the government in exchange for goods and services. A taxpayer and a tax collector are both partners in any tax transaction. An entity that pays taxes to the government is referred to as a taxpayer. Any middleman that collects taxes on the government's behalf, including the government, is a tax collector.

Given,

The price of Rare gem = $82.00

The  sales tax = 7.9%

Converting percent into decimal

7.9 / 100 = 0.079

The amount of sales tax = 82 x 0.079

                                        = $6.478

The Total amount of the gem before the sales tax:

82 - 6.478 = $75.522

Hence, The tax amount to the nearest cent is $6.478

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Need help please : Given the equation 6x + 18 = 72: Part A: Write a short word problem about a purchase made to illustrate the equation. Part B: Solve the equation showing all work. Part C: Explain what the value of the variable represents.

Answers

A. A short word problem about a purchase made to illustrate the equation is that John bought six pens and bought books for $18. The total amount is $72. Find the cost of each pen.

B. The cost of each pen is $9

C. The variable is x.

How to illustrate the equation?

A. The problem is that John bought six pens and bought books for $18. The

B. The equation to illustrate this will be:

6x + 18 = 72

Collect like terms

6x = 72 - 18

6x = 54

Divide

x = 54 / 6.

x = $9

The cost of each pen is $9.

C. The variable is x = 9. This is the cost of the pen.

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Gretchen runs backwards at a speed of -4m/s. Mika continues running at a speed of 3 m/a. If Gretchen dropped her baton-48 meters from her current position how far ahead will Mika be? Any decade from 19-20th century create a timeline Anyone good there at chemistry? Please help me with this problem Suppose you want to have $700,000 for retirement in 30 years. Your account earns 5% interest. How much would you need to deposit in the account each month?$_________________ which of the following functions as both a store of value and a medium of exchange? a. cash but not stocks b. stocks but not cash c. cash and stocks d. neither cash nor stocks The largest and the smallest balls used in the experiment are with diameter 9. 52 mm, and 2. 38 mm respectively. For a glycerin with viscosity 1. 0 pa. S, what is the time necessary for each ball to reach a velocity 95% of the terminal velocity? density of the ball material is given in the text. Round the result to three decimal places. when you leave the bread out A box contains different-colored marbles. If P(blue) = P(green) = and P(blue and green) = whicstatement is true?O The events are independent because P(blue) P(green) = P(blue and green). A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. Number of lemon-flavored candies Number of bags 29 1 69 4 108 5 4 118 5 162 4 167 2 186 X is the number of lemon-flavored candies that a randomly chosen bag had. What is the expected va of X? Write your answer as a decimal. Two descriptions for a sub-atomic particle are listed below:Description 1: Can electrically attract or repel other sub-atomic particlesDescription 2: Has a chargeWhich sub-atomic particle or particles fit these descriptions? aElectrons only bNeutrons only cElectrons and protons dProtons and neutrons You open up a bank account with $5000. You leave it there, and the bank informs you they will add 5% annually in interest. How much money will you have earned in interest in 7 years?A. $1850B.$175C.1750D.185 Arithmetic SequencesCAN SOMEONE PLEASE HELP ME IM BEGGING :( Factor this trinomial x^2+8x+12 adam's sports store has a contribution margin ratio of 55% and has already passed the break-even point for the year. if adam's generates additional sales of $250,000 by year-end, net operating income will increase by Royal Furniture bought a sofa for $820. The sofa had a $1,420 list price. What was the trade discount rate Royal received? (Round your answer to the nearest hundredth percent.) I will give 15 pts and brainlyWhich cell organelles is responsible for creating energy? A mitochondria B Golgi apparatus C nucleus D chloroplasts The single inequality y > |x + 2| is equivalent to which of the following systems?Answers: 1.y > x + 2 y > x + 22.y > x + 2 y > x 23.y > x + 2 y < x + 24.y > x + 2 y < x 2 Gavin was sick he did not get enough rest last night.Identify the choice that corrects this run-on sentence. for which of the following enteric illnesses is a chronic carrier state most likely to develop? check all that apply. question 11 options: a) cholera b) salmonella enterocolitis c) typhoid fever d) campylobacter enterocolitis e) shigella enterocolitis 1. researchers have found that witnesses become more confident about inaccurate memories when they repeat them. why is this a problem for investigators who geniunely want to learn the truth about what happened in the commission of a crime?