Two numbers sum to 61. Twice the first subtracted from the second is 1. Find the numbers.

Answers

Answer 1
Let the numbers be x and y
x + y = 61
y - 2x = 1
y = 2x + 1
x + (2x + 1) = 61
3x + 1 = 61
3x = 60
x = 20
y = 61 - 20 = 41

Related Questions

PROGRESSIVEKayla ForshaeSupervisor: "Our goal is to make add-on sales during 85% of sales. If you make 35sales, how many add-on sales do you need to make to meet the goal?"

Answers

We are given that the total number of sales is 35.

According to the question, his goal is to make add-on sales during 85% of sales.

Therefore, the add-on sales would be:

[tex]\Rightarrow\frac{85}{100}\times35=29.75\approx30[/tex]

Hence, we will need to make 30 add-on sales to meet the goal.

个HS: Math II North Carolina High School Math II [M] (Prescripti8. Which statement is true?O OIf two figures are congruent, then they have the same shape but nOIf two figures are congruent, then they are similar.OIf two figures are similar, then they are congruent.OIf two figures are similar, then corresponding sides must be congru

Answers

For two triangles to be similar, it is enough if two angles of one triangle are equal to two angles of the other triangle.

If two figures are congruent, the corresponding sides must be equal and also the corresponding sides.

Therefore, the answer is:

If two figures are congruent, then they are similar

One of the legs of a right triangle measures 13 cm and the other leg measures
2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest
tenth.

Answers

Answer:

13.2 cm

Step-by-step explanation:

Use Pythagorean Theorem

Hypotenuse^2  = (leg1)^2 + (leg2)^2

    H^2               = 13^2 + 2^2

                           = 169 + 4

       H^2 = 173

          H = sqrt (173) = 13.2 cm

Use the formula V=lwh and A=bg to complete the table below by evaluating the expression

Answers

we have that

the formula to calculate the area of a rectangle is equal to

A=L*W

we have

L=8.3 cm

W=4 cm

substitute

A=(8.3)*(4)

A=33.2 cm2

therefore

Formula A=L*W

Expression A=(8.3)*(4)

Solve A=33.2 cm2

need help with excerise step by step been 20 year's

Answers

Given:

Standard deviation

[tex]\sigma=5.18[/tex]

Mean

[tex]\mu=129[/tex]

Required:

Find the longest braking distance one of these cars could have and still in the bottom.

Explanation:

The z-score formula is given as:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Substitute the given values and find the value of z.

[tex]z=\frac{x-129}{5.18}[/tex]

This is the first percentile which is X when Z has a p-value of 0.01, so z = -2.327.

[tex]\begin{gathered} -2.327=\frac{x-129}{5.18} \\ x-129=-2.327(5.18) \\ x-129=-12.054 \\ x=129+12.054 \\ x=116.946\text{ ft} \end{gathered}[/tex]

Final answer:

The longest braking distance one of these cars could have and still in the bottom 1% is 116.946 ft.

Find the minimum weight resistance possible for A 230 pound man

Answers

Hello there. To find this minimum weight resistance, we need to convert the percentage value to decimals and multiply it by the weight of the person.

8% converted to decimals is equal to 0.08.

Now, multiply it by the weight of the 230 pound man

0.08 * 230 = 18.4 pounds

This is the minimum weight resistance this U gym offers to the customers.

1) What is the surface area of this Cylinder: height of 9cm and a radius of 7cm. 1) Use 3.14 and round your a 9 cm

Answers

EXPLANATION

This is a cylinder with a height of 9 cm and a radius of 7cm.

The Area of a cylinder is given by the following expression:

Area= 2xπxr ² + 2xπxrxh

As r=7cm and h=9cm, replacing terms:

Area = 2xπx(7) ² + 2xπx7x9

Multiplying numbers:

Area = 98xπ + 126xπ

Simplifying:

Area= 224xπ

Representing π as a number:

Area= 224 x 3.14= 703.36 cm^2

I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want to know the answer and how to do it with work provided please

Answers

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

[tex]\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}[/tex]

Where

[tex]\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}[/tex]

Thus,

[tex]\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}[/tex]

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

[tex]\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}[/tex]

Thus, from the theorem of similar triangles,

[tex]\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}[/tex]

solving for y, we have

[tex]\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}[/tex]

thus, YC = 10.

The composition of rigid motions T (-20,-6) •T (19,23 describes the route of a limousine in a city from its starting position. Describe the route in words. Assume that the positive y-axis points north. First the limousine drives (Type whole numbers.) block(s) east and block(s) north, and then it drives block(s) east and block(s) south.

Answers

You have the following rigid motion:

[tex]T_{<-20,-6>}T_{<19,23>}[/tex]

The previous transformation means that the limousine was translated 20 units to the west and 6 units downward (south), next, the limousine was translated 19 units to the east and 23 units upward (north).

Hence, the limousine drives 20 blocks to the east and 6 blocks to south, and then it drives 19 block to the east and 23 blocks to north.

You are making a kite and need to figure out how much binding to buy. You need the binding for the perimeter of the kite. The binding comes
in packages of two yards. How many packages should you buy?
12 in.
15 in.
12 in.
20 in.
You should buy packages.

Answers

With the help of the Pythagorean theorem, we know that we should buy 3 packages.

What is the Pythagorean theorem?The Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse.

So, Pythagorean formula: c² = a² + b²

Each package contains 2 yards of binding.In the kite, there are right triangles, so use the Pythagorean theorem.

(Refer to the image of the kite attached below)

△1:

a² + b² = c²15² + 12² = x₁²x₁ = √15² + 12²x₁ = 19.2 in

△2:

x₂ = x₁ = 19.2 in

△3:

a² + b² = c²12² + 20² = x₃²x₃ = √12² + 20²x₁ = 23.3 in

△4:

x₄ = x₃ = 23.3 in

Total: 19.2(2) + 15 + 2(12) + 20 + 2(23.3) = 144 in

Total (actual) > 144 in

Now,

1 package = 2 yards = 6ft = 72 in2 yards × 3ft/1yrd × 12in/1ft = 72 in2 packages: 2(72) = 144 in3 packages: 3(72) > 144

So, we should buy 3 packages.

Therefore, with the help of the Pythagorean theorem, we know that we should buy 3 packages.

Know more about the Pythagorean theorem here:

https://brainly.com/question/343682

#SPJ13

the sales tax is 47 on the purchase of a dining room set for 940. find the sales tax rate.

Answers

The sales tax formula is used to determine how much businesses need to charge customers based on taxes in their area. State and local governments across the United States use a sales tax to pay for things like roads, healthcare and other government services. Sales tax applies to most consumer product purchases and exists in most states.

The sales tax formula is simply the sales tax percentage multiplied by the price of the item. It's important for businesses to know how to use the sales tax formula so that they can charge their customers the proper amount to cover the tax. For consumers, it's good to know how the sales tax formula works so that you can properly budget for your purchases

The sales tax formula is as shown below:

[tex]\text{sales tax=sales tax percentage }\times Price\text{ of the items}[/tex]

Given that

Sales tax = 47

price of the dining room = 940

Sales tax rate= unknown

To find the sales tax rate, we would substitute into the formula above

[tex]\begin{gathered} 47=\text{sales tax rate }\times940 \\ \text{sales tax rate = }\frac{47}{940}\times100\text{ \%} \\ \text{sales tax rate = }\frac{1}{20}\times100=0.05\times100\text{ \%} \\ \text{sales tax rate= 5 \%} \end{gathered}[/tex]

Hence, the sales tax rate is 5%

Fill in the empty spaces to complete the puzzle. In any row, the two left spaces should multiply to equal the right-hand space. In any column, the two top spaces should multiple to equal the bottom space.

Answers

Explanation:

We will find the expression for each space in the following order

To find the first expression, we need to find a number that multiplied by 6 is equal to 18. This number is 3 because

6 · 3 = 18

Then, for the second space, we need to factorize the expression 36x² + 144x + 108 as follows

36x² + 144x + 108 = 8(2x² + 8x + 6)

So, the expression that multiplied to 8 is (36x² + 144x + 108) is (2x² + 8x + 6).

The third space can be calculated by factorizing 2x² + 8x + 6 as

2x² + 8x + 6 = (x + 3)(2x + 2)

Therefore, the expression in the third space is (2x + 2)

Finally, for the fourth and fifth space, we need to multiply the expression to the left, so

6(2x + 2) = 6(2x) + 6(2) = 12x + 12

3(x + 3) = 3(x) + 3(3) = 3x + 9

Answer

Therefore, the answer is

Find the area of the circle. Use 3.14 or 227for π . thxQuestion 2

Answers

Step 1

State the area of a circle using the diameter

[tex]\frac{\pi d^2}{4}[/tex]

Where d=diameter=28in

[tex]\pi=\frac{22}{7}[/tex]

Step 2

Find the area

[tex]A=\frac{22}{7}\times\frac{28^2}{4}=616in^2[/tex]

Answer;

[tex]Area\text{ = }616in^2\text{ when }\pi\text{ =}\frac{22}{7}[/tex]

Divide 8 1/8 by 7 1/12 simplify the answer and write as a mixed number

Answers

The division of 8 1/8 by 7 1/12 is 91/136.

What is division?

Division simply has to do with reduction of a number into different parts. On the other hand, a mixed number is the number that's made up of whole number and fraction.

Dividing 8 1/8 by 7 1/12 will go thus:

8 1/8 ÷ 7 1/12

Change to improper fraction

65/8 ÷ 85/7

= 65/8 × 7/85

= 91/136

The division will give a value of 91/136.

Learn more about division on:

brainly.com/question/25289437

#SPJ1

simplify-6u^2 v-u^v^2-22u^2v^2

Answers

simplify-6u^2 v-u^v^2-22u^2v^2

we have

[tex]undefined[/tex]

so I've been using the formula for the volume of a cylinder but I'm still not getting anything even remotely close to my answer choices. the volume is 438.08π mL and the radius is 3.7 cm. I'm solving for the height

Answers

Answer:

H = 32 cm

Explanation:

The area of a cylinder is given by

[tex]V=\pi r^2h[/tex]

Now solving for h gives

[tex]h=\frac{V}{\pi r^2}[/tex]

Now V = 438.08 π and r = 3.7 cm. Putting these values in the above equations gives

[tex]h=\frac{438.08\pi\operatorname{cm}^3}{\pi(3.7cm)^2}[/tex][tex]\boxed{h=32\operatorname{cm}\text{.}}[/tex]

which is our answer!

Here's a graph of a linear function. Write theequation that describes that function.Express it in slope-intercept form.Enter the correct answer.000DONEClear allĐOO

Answers

[tex]\begin{gathered} \text{The line pass through the points (8,8) and (0,2), therefore the slope is equal} \\ m=\frac{8-2}{8-0}=\frac{6}{8}=\frac{3}{4} \\ so\text{ the equation is} \\ y-2=\frac{3}{4}x\rightarrow y=\frac{3}{4}x+2 \end{gathered}[/tex]

The sum of 4 times a number and 5 is the same as the difference of the number and 7

Answers

Answer:

4nx5=n-7

-7/19

Step-by-step explanation:

Let's Write this equation step by step.

The sum of 4 times a number and 5

That means: 4nx5

The difference of the number and 7

That means: n-7

Now, combine:

4nx5=n-7

-7/19

The National Oceanic and Atmospheric Administration tracks the amount of oysters harvested from the Chesapeake Bay each year.Years since 1900 2 28 53 67 78 89Oysters (metric tons) 54.2 22.5 7.38 5.28 3.52 2.38Find the exponential regression equation that models this data.Ay=-58(-0.964)OB. y = -58(0.964)Oc.y=58(0.964)*OD.y=58(-0.964)*Reset SelectionPreviouNext

Answers

Explanation

We are given the following table:

We are required to determine the exponential regression equation that models the data.

This is achieved thus:

We know that an exponential equation is given as:

[tex]y=ab^x[/tex]

Using a graphing calculator, we have:

From the graph, we have:

[tex]\begin{gathered} a=58 \\ b=0.964 \end{gathered}[/tex]

Hence, the answer is:

[tex]y=58(0.964)^x[/tex]

Write an equation of a line in slope-intercept form that has a slope of -3 and goes through the point (0, 3) O y = 3x - 1 O y = 3x + 2 O y = 3x O y = -3x + 3

Answers

ANSWER

y = -3x + 3

EXPLANATION

We want to write the equation in slope-intercept form, which is the form:

y = mx + c

where m = slope; c = intercept

To do that, we have to use the point-slope method:

y - y1 = m(x - x1)

where (x1, y1) = point the line goes through

From the question:

m = -3

(x1, y1) = (0, 3)

So, we have that:

y - 3 = -3(x - 0)

y - 3 = -3x

=> y = -3x + 3

That is the equation of the line in slope-intercept form.

To make banana berry smoothies, Just Juice mixes water and juice in a ratio of 5 to 3. How much water should Just Juice mix with 23 gallons of juice to make banana berry smoothies?​

Answers

Answer:

38 1/3 gallons.

Step-by-step explanation:

[tex]\frac{w}{j}[/tex] = [tex]\frac{w}{j}[/tex]  set up a ratio of the ratio of water to juice to the actual amount of water in juice. Fill in the numbers that you know and solve for the actual amount of water.

[tex]\frac{5}{3}[/tex]  = [tex]\frac{w}{23}[/tex]  Cross multiply and solve

3w = 5(23)

3w = 115  Divide both side by 3

w = 38 1/3 Gallons

Find f such that the given conditions are satisfied. f(x)=x2-3x + 12, f(0) = 9 O f(x) = 1x2 - 4x² + 12x +9 O O f(x) - x-x2 + 12x + 1 f(x) = 3x3-4x2 + 12x + 1 O f(x) = 3x - x? + 12x + 9

Answers

To find f(x) we will do an integration

[tex]\begin{gathered} f^{\prime}(x)=x^2-3x+12\text{ } \\ f(x)=\int (x^2-3x+12) \end{gathered}[/tex][tex]\int (x^2-3x+12)=\frac{x^3}{3}-\frac{3x^2}{2}+12x+c[/tex]

To find c substitute x by 0 and y by 9 because f(0) = 9

[tex]\begin{gathered} f(x)=\frac{1}{3}x^3-\frac{3}{2}x^2+12x+c \\ f(0)=\frac{1}{3}(0)^3-\frac{3}{2}(0)^2+12(0)+c=9 \\ c=9 \end{gathered}[/tex]

The function f(x) is

[tex]f(x)=\frac{1}{3}x^3-\frac{3}{2}x^2+12x+9[/tex]

Answer D

Because of damage, a computer company had 5 tablets returned out of the 80 that were sold. Suppose the number of damaged tablets sold continue at this rate. How many tablets should the company expect to have returned if it sells 400 of them?

Answers

we are told that there 5 damaged tablets out of 80 that are sold. Therefore, the rate of damaged tablets per sold tablets is:

[tex]\frac{5\text{ damaged}}{80\text{ sold}}[/tex]

Multiplying this rate by the 400 sold tablets we get:

[tex]\frac{5\text{ damaged}}{80\text{ sold}}\times40\text{0 sold}[/tex]

Solving we get:

[tex]\frac{5\text{ damaged}}{80\text{ sold}}\times40\text{0 sold}=25\text{ damaged}[/tex]

Therefore, if the rate continues, the company can expect to return 25 tablets.

Select all the situations in which a proportional relationship is described.
Jackson saves $10 in the first month and $30 in the next 3 months.
Mia saves $8 in the first 2 months and $4 in the next month.
Piyoli spends $2 in the first 2 days of the week and $5 in the next 5 days.
Robert spends $2 in the first 3 days of the week and $5 in the next 4 days.

Answers

The situations that describe a proportional relationship are:

Jackson saves $10 in the first month and $30 in the next 3 months.

Mia saves $8 in the first 2 months and $4 in the next month.

Piyoli spends $2 in the first 2 days of the week and $5 in the next 5 days.

What is a proportional relationship?

A relation is proportional if the rate of change of the variables is constant. The variables can either increase or decrease at a constant rate. A proportional relationship can be modelled with a linear equation.

Is Jackson's saving proportional?

Average of the amount saved in the next 3 months: $30 / 3 = $10

The relationship is proportional because the amount saved in the first month and the average is equal.

Is Mia's saving proportional?

Average of the amount saved in the first 2 months: $8 / 2 = $4

The relationship is proportional because the amount saved in the thir month and the average is equal.

Is Piyoli's spending proportional?

Average of the amount spent in the first 2 days: $2 / 2 = $1

Average of the amount spent in the next 5 days = $5 / 5 = $1

The relationship is proportional because the averages are equal.

Is Robert's spending proportional?

Average of the amount spent in the first 3 days: $2 / 3 = $0.67

Average of the amount spent in the next 4 days = $5 / 4 = $1.25

The relationship is not proportional because the averages are not equal.

To learn more about proportional relationship, please check: https://brainly.com/question/12917806

#SPJ1

What is a quadrilateral that has reflection symmetry, but not rotation symmetry?

Answers

The quadrilaterals, parallelogram,square, rectangle has rotational symmetry but no reflectional symmetry

A trapezoid has neither a rotational symmetry nor a reflectional symmetry

But for an isosceles with only one pair of parallel sides has a reflectional symmetry but no rotational symmetry

Thus, the correct answer is

an isosceles with only one pair of parallel sides

A bourse named northern dancer won the Kentucky derby by running 1 1/4 miles in exactly 2 minutes. At this constant rate, how long does it take northern dancer to run the 1 1/2 mile Belmont stakes? Use unit rate

Answers

It is given that there are

[tex]1\frac{1}{4}=\frac{5}{4}\text{miles}[/tex]

run in 2 minutes.

So, we have to determine time required to run

[tex]1\frac{1}{2}=\frac{3}{2}\text{miles}[/tex]

Apply the unitary method,

For 5/4 miles required 2 minutes.

So , for 1 miles, time required

[tex]\frac{2}{\frac{5}{4}}=\frac{2\times4}{5}=\frac{8}{5}\min [/tex]

Therefore,for 3/2 miles , time required is

[tex]\frac{3}{2}\times\frac{8}{5}=\frac{12}{5}\text{min}=2.4\min [/tex]

Hence the time required is 2.4 minutes.

system: 3x+2y=6 x-y=-3 find the value for x. find the value for y.

Answers

Given a system of equations:

[tex]\begin{gathered} 3x+2y=6 \\ x-y=-3 \end{gathered}[/tex]

We have to solve the system of equations.

We can solve this system of equations using the substitution method.

From the second equation, we have x - y = -3, which implies that x = y - 3. Substitute x = y - 3 in the first equation:

[tex]\begin{gathered} 3(y-3)+2y=6 \\ 3y-9+2y=6 \\ 5y=6+9 \\ 5y=15 \\ y=\frac{15}{5} \\ y=3 \end{gathered}[/tex]

Now, we have y = 3, put in x = y - 3 to get,

[tex]\begin{gathered} x=3-3 \\ x=0 \end{gathered}[/tex]

Thus, the solution of the system of equations is (0, 3).

O is the center of the regular hexagon below. Find its perimeter. Round to the nearest tenth if necessary.

Answers

To solve this problem, we have to find the side length and multiply it by the number of sides of the figure.

To find the length side we will use the following formula:

[tex]ap=\sqrt[]{I^2-(\frac{I^{}}{2})^2}\text{.}[/tex]

Where ap is the length of the apothem, and I is the side length.

Substituting the given values, we get:

[tex]10=\sqrt[]{I^2-(\frac{I}{2})^2}.[/tex]

Solving the equation for I, we get:

[tex]\begin{gathered} \\ I=\frac{2\times10}{\sqrt[]{3}}. \end{gathered}[/tex]

Therefore, the perimeter of the hexagon is:

[tex]6I=6\times\frac{2\times10}{\sqrt[]{3}}\approx69.3\text{ units.}[/tex]

Answer:

[tex]69.3\text{ units.}[/tex]

4Select the correct equations.Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than  times the number of shells Mary has. Nancy has 1 more than  times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution.

Answers

Given data:

Gracie has 5 more than times mary have G=5+a(x).

Nancy has 1 ore than ties mary have N=1+b(x)

Given that G=N

5+ax=1+bx

4=x(b-a)

Which representation does not show y as a function of x?1.II.€9> 10III.x 1 3 5 7y -6 -18 -30 -42IV. {(-2,3), (-1,4), (0,4), (3, 2)}a) I and IIb) I, II, and IIIc) I and IVd) All of the above are functions

Answers

We can say that I is not a function because inputs can only have one output.

II it's not a function since if you draw an horizontal line through the function intersect in two points, then it's not a function.

The answer is A.

Other Questions
PLS HELP, ITS DUE TODAY In a nuclear fusion reaction, two small, light ___ (hydrogen atoms) combine under extreme __ and pressure to form one larger, heavier nucleus (helium). PLSSS HELP IF YOU TURLY KNOW THISS Experimental and theoretical see pic in a given food fat such as flaxseed oil, the triglyceride contains exclusively one type of fatty acid (saturated or unsaturated). group of answer choices true false Which observation is true about organisms that carry the same genes?A. They will have the same phenotype, even if there are differences inexpression of the genes.B. They will not have the same phenotype, even if the genes are allexpressed the same way.C. They will have the same phenotype, because they will express thesame genes.D. They will not have the same phenotype if there are differences inexpression of the genes. Kuta Software - Infinite Precalculus Angles and Angle Measure Find the measure of each angle. the time to failure of a television tube is estimated to be exponentially distributed with a rate of 3 per year. a company offers insurance on these tubes for the first year of usage. on what percentage of policies will they have to pay a claim? why was the defeat of the spanish armada in 1588 significant? ended all efforts for spain to colonize established english dominance of the sea gave england control of all of spain A reaction take place between an acid and 0.5 grams of powdered magnesium. Which statement is true?A. The powdered magnesium reacts faster because the activation energy has been lowered.B. The magnesium tracts reacts faster because It has a higher concentration of magnesium.C. The powdered magnesium react faster because it has a greater surface area.D. The magnesium react faster it will create a higher temperature once the reaction starts which statement about hydrogen (h) atoms in photosynthesis and respiration is false? first exclude the four correct statements. group of answer choices photosynthesis and respiration both use h shuttles. h is removed from water to make sugars in photosynthesis; h removed from sugars is combined with oxygen to form water in respiration. nadh is used in photosynthesis; nadph is used in respiration. the o-h bond has partial electrical charges; the c-h bond consists of electrons shared evenly between the partner atoms. while the o-h bond cannot be used to release energy, the c-h bond can be used to release energy. what is the slope of (12 -18) (-15 -18) a quadratic function has its vertex at the point (4,6) the function passes through the point (-5,-2) find the quadratic and linear coefficients and the constant term of the function The quadratic coefficient is_____The linear coefficient is_______the constant term is_____ give the n and l values and the number of orbitals for sublevel 5g. key characteristics of the maturity stage are which two of the following? multiple select question. marketing costs are directed at holding market share. intense competition on price occurs. buyers enter the market at a rapid pace. many new competitors enter the market. revenues begin to increase rapidly. Kinsley opened a savings account and deposited 600.00 the account earns 5%interest compounded quarterly if she wants to use the money to buy a new bicycle in 3 years how much will she be able to spend on the bike What is the total population of the four cities shown in the table? Express your answer in scientific notation and in standard form. What word processing function is most important for working collaboratively? question 5 options: changing line spacing applying styles footnoting reviewing Neptune has a mass that is about 17 times the mass of earth. the distance between the sun and neptune is about 30.1 times the distance between the sun and earth. if the gravitational force between the sun and earth is 3.5 x 1028 n, which is closest to the force between neptune and the sun? 6 x n 6 x n 6 x n 6 x n The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 202.9 in 2011 and 233.2 in 2016. Let x=11 correspond to the year 2011 and estimate the CPI in 2013 and 2014. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantities. Let y represent the CPI. The linear equation that best models the CPI is____ (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.) In his first message to congress, president andrew jackson proclaimed that the five civilized tribes presented a major problem for.