The expression 11(1.022)^t11(1.022)

models the per capita gross domestic product (GDP) of the US, in thousands of dollars, as a function of the number of years since 195019501950.

What does 1.022 represent in this equation

Answers

Answer 1

Answer: growth factor = 1.022

Step-by-step explanation:

The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%

What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US

Answer 2

Answer:

The per capita GDP in the US is multiplied by approximately 1.0221.0221, point, 022 each year.

Step-by-step explanation:


Related Questions

THI VIOS
Lin needs to mix a specific shade of orange paint for the set of the school play.
The color uses 3 parts yellow for every 2 parts red.

Answers

Answer:

2/3

Step-by-step explanation:

Each time 2 parts of red is being used, 3 parts of yellow is used. The yellow depends on the red so 2/3.

Which polynomial expression represents the area of the outermost square tile, shown below?
A. X^2+6x+6
B. X^2+9x+6
C. X^2+6x+9
D. X^2-6x+9

Answers

Answer:

x² - 6x + 9

Step-by-step explanation:

(x - 3)² = x² - 6x + 9

I need to answer number one I will give as many points as I can for the question and I will mark brainiest

Answers

Answer:

diagram is below6, 11, 16, 21s[n] = s[n-1] +526, 31, 36

Step-by-step explanation:

a) See below for the next diagram in sequence.

__

b) The numbers of straws in each diagram are ...

  6, 11, 16, 21, ...

__

c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...

  s[1] = 6

  s[n] = s[n-1] +5

__

d) The next three terms of the sequence are ...

  ..., 26, 31, 36, ...

In triangle PQR, what is the triangle Q? Please answer as fast as possible! 100 POINTS!!!

Answers

Answer:

105 degrees

Step-by-step explanation:

The sum of the angles in a triangle add up to 180. Although we don't the know the numerical values of the angles, we can create an equation with the given expressions:

<P + <Q + <R = 180

(6x + 5) + (11x - 5) + x = 180

18x = 180

x = 10

Now, plug this value of x into the expression for Q:

<Q = 11x - 5 = 11 * 10 - 5 = 110 - 5 = 105

Thus, the measure of angle Q is 105 degrees.

Hope this helps!

Answer:

105 degrees

Step-by-step explanation:

The angles in a triangle must add to 180 degrees

<Q +<P + <R =180

We know <Q is 11x-5, <P is 6x+5 and <R is x, so we can substitute them in

11x-5+6x+5+x=180

Combine like terms

11x+6x+x +5 -5 =180

18x=180

Divide both sides by 18

x=10

Now we know x, and we can substitute that in to to find <Q

<Q=11x-5

<Q=11(10)-5

<Q=110-5

<Q=105

Explain how to determine if the two expressions are equivalent using x = 6 and x = 2.

2x + 4 – 1 3 + x + x

Answers

Answer:

Well, if you substitute 2 and 6 on the first expression, the answer you get when x=2 is half of what you get when x=6

But for the second expression, the answers are not equivalent

Answer:

If both expressions have the same value after substituting and simplifying for x = 6 and x = 2, then they are equivalent. The value of both expressions is 15 when x = 6. The value of both expressions is 7 when x = 2. So, the expressions are equivalent

Step-by-step explanation:

for the people who has ads

there are a total of 10 pigs and ducks in the barn. there are 36 legs in all all each pig has four legs and each duck has two legs , use substitution to solve the linear system of equations and determine how many pigs x and ducks y there are express the solutions as as ordered pairx,y

Answers

Answer:

A Farmhouse shelters 10 animals. some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there? Answer: 8 pigs and 2 ducks.

1. (A) p + d = 10

2. (B) 4p + 2d = 36

3. Multiply equation (A) with -2; -2p minus -2d = -20

4. When subtracted from equation (B), this gives you.. 2p = 16, pigs = 8

5. Use this 8 to the second equation by substitution.. 2d = 4, ducks = 2

Step-by-step explanation:

How many solutions does the equation −5a + 2 = 7 - 5a have?

Answers

Answer:

there are 0 answers.

Step-by-step explanation:

2-7 is not = 0a

Steve buys 2 lbs Of grapefruit

Answers

Answer:

Well, whats the question the answers 2 pounds i guess

Step-by-step explanation:

The graph of r = -3 + 5cos(theta) is symmetric about the __________.
a.
y-axis only
c.
Origin only
b.
x-axis only
d.
No symmetry


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer: B

Step-by-step explanation:

X axis only

The graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only

What is Symmetry?

In mathematics, symmetry has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling.

What is Graph?

A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense related.

Here,

The graph of r = -3 + 5cosθ is symmetric about the x axis only

Also when we plot the graph we can say that it is symmetric about x axis only.

Hence, the graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only

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To estimate the mean score μ of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.3 . You want your sample mean ¯ x to estimate μ with an error of no more than 1.3 point in either direction.

(a) What standard deviation must ¯ x have so that 99.7 % of all samples give an ¯ x within 1.3 point of μ ? Use the 68 – 95 – 99.7 rule. (Enter your answer rounded to four decimal places.)

(b) How large an SRS do you need in order to reduce the standard deviation of

¯

x

to the value you found? (Enter your answer rounded to the nearest whole number.)

Answers

Answer:

a. 0.4333

b. 255

Step-by-step explanation:

The maximum Error E is 1.3

approximately normal test scores,

Standard Deviation, SD is 6.5

a).

Level of confidence = 99.7%

critical value of z for a two tailed test and 0.3% level of significance is 3

since the sample mean is within 0.5 of the true population mean

hence, the standard dev of mean is given by

[tex]Z_{\alpha}[\frac{\sigma}{\sqrt{n}} ]=E[/tex]

where E = 1.3

[tex]Z_{\alpha}=[/tex] 1.3

[tex]\frac{\sigma}{\sqrt{n}} =\frac{E}{Z_{\alpha}} \\\\\frac{\sigma}{\sqrt{n}} =\frac{1.3}{3}[/tex]

hence the Std of the mean is 0.4333 (to 4 d.p.)

b).

The sample size is computed as follows

making n the subject of formular of the above equation

[tex]\sqrt{n} =\frac{3\sigma}{1.3}} \\\\\sqrt{n} =\frac{3\times 6.5}{1.3}} \\\\n=(\frac{3\times 6.5}{1.3}})^2[/tex]

hence,

n = 255

Manipulate the triangle so angle A measures
approximately 92°
Manipulate the triangle so angle B measures
approximately 51°
Notice the straight line p.
What must the measurement of angle C be for p to
remain a straight line?
Angle C should measure approximately

Answers

Answer:

37 Degrees

Step-by-step explanation:

Manipulate the triangle so angle A measures approximately 92°.

Manipulate the triangle so angle B measures approximately 51°.

Notice the straight line p.

What must the measurement of angle C be for p to remain a straight line?

Angle C should measure approximately 37 Degrees

There is angle C should measure approximately 37° for line p to remain a straight line.

What are the vertical angles?

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

As we know that a straight line, the sum of the angles is equal to 180°.

So, when angle A measures approximately 92° and angle B measures approximately 51°,

Then, the measurement of angle C must be 180° - 92° - 51° = 37° in order to keep line p a straight line.

Thus, angle C should measure approximately 37° for line p to remain a straight line.

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Find the unit rate.
10 deliveries in 5 hours = |
deliveries per hour

Answers

Answer: 2 deliveries per hour

Step-by-step explanation:

Answer: 2 deliveries per hour

check 2 x-1 is a factor of p[x]=x^3-x^2+2x-1

Answers

Answer:

Step-by-step explanation:

2x - 1 =0

2x = 1

x = 1/2

Now We have to find P(1/2). If P(1/2) is zero, then 2x - 1 is a factor of P(x)

P(x)= x³ - x² + 2x -1

[tex]P(\frac{1}{2})=[\frac{1}{2}]^{3}-[\frac{1}{2}]^{2}+2*[\frac{1}{2}]-1\\\\=\frac{1}{8}-\frac{1}{4}+1-1\\\\=\frac{1}{8}-\frac{1*2}{4*2}+0\\\\=\frac{1}{8}-\frac{2}{8}\\\\=\frac{1-2}{8}\\\\=\frac{-1}{8}\neq 0[/tex]

2x - 1 is not a factor of p(x)

–2x + y = 3 2x – y = 4 Using elimination to solve this system results in the equation .

Answers

Answer:

1 = x and -2 = y

I am fairly happy with this answer

Answer:

0=7 just did it

Step-by-step explanation:

What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. Sin(20°)=LN/8. Cos(70°)=8/LN . Tan(70°)=LN/MN . Sin(20°)=8/LN . Cos(70°)= LN/8

Answers

Answer:

The 1st one and last one

Step-by-step explanation:

What is the degree of the polynomial below?
5+1 – 34 + 3х9 - 2х
a) 3
b) 9
c) 5
d) 4

Answers

i think its d) 4 im not sure tho
I think it’s D hope this helps



2. The weather forecasts predicts a 25% chance of snow

tomorrow. What is the probability that it does not snow?

Answers

Answer:

75%

Step-by-step explanation:

The answer is 75% hoped this helped


How would you multiply a binomial by a trinomial?​

Answers

Step-by-step explanation:

Multiply one of them by each of the terms in the other, then distribute.  Finally, combine like terms.

(ax + b) (cx² + dx + e)

ax (cx² + dx + e) + b (cx² + dx + e)

acx³ + adx² + aex + bcx² + bdx + be

acx³ + (ad+bc) x² + (ae+bd)x + be

1. Rocco purchases a car for $14,950. There is a sales tax of 6.5%.
How much is the final price with tax?
Use the formula amount = cost x tax rate to find the amount of the
sales tax.
Add the cost of the car to the amount of the sales tax to find the final
price.​

Answers

Answer:

The final price with tax is 15,921.75‬, and the total tax added was 971.75‬

Step-by-step explanation:

To find the final cost, you multiply the cost of the product by the tax rate plus one.

For this problem, you multiply 14,950 by (0.065 + 1) to get the answer

Answer:

$15,921.75

Step-by-step explanation:

1. Multiply the cost of the car by the sales tax rate.

14950*.65= 971.75

2. Then add this amout to the original cost of the car.

14950 + 971.75= $15,921.15

how many sides does a rhombicosidodecahedron have

Answers

Answer:

It has 120 sides but mark the other guy brainliest

Step-by-step explanation:

What is the equation of the line that is perpendicular to the
given line and has an x-intercept of 6?

y=-3/4x+8
y=-3/4x+6
y=4/3x-8
y=4/3x-6

Answers

Answer:

i think it is th 3rd one

Step-by-step explanation:

Answer:

the answer is c)y=4/3x-6

Step-by-step explanation:

yayayayyayaya

Please help!

The isosceles triangle below is rotated along the blue dashed line going through the center. Find the volume of the cone formed by doing this rotation. Round your answer to the nearest tenth.

Answers

Answer:

47.1

Step-by-step explanation:

Sorry if its wrong

The cone's volume is approximately 47.1 cubic centimeters, obtained by rotating the provided isosceles triangle along its central blue axis.

The volume of a cone is calculated by the following formula:

[tex]$V = \frac{1}{3}\pi r^2 h$[/tex]

where r is the radius of the base and h is the height of the cone.

In this case, the height is simply the height of the triangle, which is 5 cm.

The radius is a bit trickier.  

Notice that the blue dashed line bisects the base of the triangle.  Therefore, the radius is half the length of the base, which is 6 cm / 2 = 3 cm.

Substituting these values into the formula, we get:

[tex]$V = \frac{1}{3}\pi (3\text{ cm})^2 (5\text{ cm})$[/tex]

[tex]$V = 15\pi \text{ cm}^3$[/tex]

Rounding this to the nearest tenth, we get:

[tex]$V = 47.1 \text{ cm}^3$[/tex]

Therefore, the volume of the cone is approximately 47.1 cubic centimeters.

Two math classes are selling raffle tickets to raise money.

• One class is selling tickets for $3.50 each and has already raised $550.
• The other class is selling tickets for $5.00 each and has already raised $250.

Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?
A) 5.00t + 550 = 3.50t + 250
B) 550t + 3.50 = 250t + 5.00
C) 3.50t + 550 = 5.00t + 250
D) 3.50 + 550 = 5.00t + 250t

Answers

Answer:

3.50t + 550 = 5.00 + 250 bc well always remember that each means Multipy!

The correct answer would be C

4 part diagram. Part A: Earth between and Sun on left and Moon on right. Arrows point from Earth to Sun and Moon, respectively. Part B: Earth with Sun on left and Moon below. Arrows point from Earth to Sun and Moon, respectively. Part C: Moon between Earth and Sun. Arrow points from Earth through Moon to Sun. Part D: Earth with Sun on left and Moon above. Arrows point to Sun and Moon, respectively.
Use the drop-down menus to choose the correct answers

Answers

Answer:

Earth sees a full moon in A

Neap tides occur in D and B

Earth sees a third quarter moon in D

Tide levels are highest in A and C

Earth sees a full moon in A.Neap tides occur in D and B.Earth sees a third-quarter moon in D.Tide levels are highest in A and C.

Sun:The star at the center of the Solar System is the Sun. It is a nearly perfect ball of hot plasma that has been heated to incandescence by nuclear fusion processes in its center. The energy it radiates is primarily visible light, ultraviolet radiation, and infrared radiation.Moon:The sole natural satellite of Earth is the Moon. It is the fifth largest satellite in the solar system, the largest relative to its primary planet, and bigger than any known dwarf planet with a diameter of around one-fourth that of Earth.Earth:Only one astronomical object—Earth, which is third from the Sun—is known to support life. Although the Solar System contains enormous amounts of water, only Earth is home to liquid surface water. The oceans cover around 71% of Earth's surface, dwarfing its lakes, rivers, and polar ice.

Therefore, the solution to the problem is as follows -

Earth sees a full moon in A.Neap tides occur in D and B.Earth sees a third-quarter moon in D.Tide levels are highest in A and C.

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Emily, a makeup artist, wants to be what artists in the movie business call a key makeup artist. This is how she describes the job.

“A key makeup artist has an important job in the movies. She designs a different look for every actor on the movie set. She must be exceptionally creative and aware of the latest technology.”

Which prepositional phrase in this paragraph modifies an adverb?

A. in the movies

B. for every actor

C. on the movie set

D. of the latest technology

Answers

Answer:

The Answer is D

Step-by-step explanation:

Final answer:

None of the prepositional phrases in the paragraph modify an adverb. They either modify a noun or a verb.

Explanation:

In understanding this question, a prepositional phrase is a group of words consisting of a preposition, its object, and any words that modify the object. On the other hand, a adverb is a word that modifies a verb, an adjective, or another adverb.

The prepositional phrases in the paragraph include 'in the movies,' 'for every actor,' 'on the movie set,' and 'of the latest technology.'

Examining these closely, it is easy to see that none of these prepositional phrases modify an adverb—they either modify a noun or a verb. Therefore, there are no prepositional phrases in this paragraph that modify an adverb.

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How do I solve these two?

Answers

Answer:

1.D

2.B

Step-by-step explanation:

For the first one divide see which one is less which is D

For the second one Ive always used the method kcf keep change flip so you keep [tex]\frac{15}{1}[/tex] the change ÷ to multiplication so then flip [tex]\frac{2}{9}[/tex] so the equation would be

[tex]\frac{15}{1}[/tex]x[tex]\frac{9}{2}[/tex] so multiply the 15 by 9 then you get 135 then divide by 2 so thats your answer

Solve the equation for b: -4b + 18 = -6

Answers

The answer is 6:

6+18= 24
24 divided by 4= 6

b=6
I'll teach you how to solve -4b + 18 = -6

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

-4b + 18 = -6

Subtract 18 from both sides:

-4b + 18-18=-6-18

Simplify:

-4b= -24

Divide both sides by -4:

-4b/-4 = -24/-4

Simplify:

b=6

Your Answer Is b= 6

plz mark me as brainliest :)

Which solid has one rectangular base and four lateral faces in the shape of triangles

Answers

Answer:

a square i believe so I'm not sure

Answer: ist B, rectangular pyramid

Step-by-step explanation:

I what the other guy said and it was wrong.

Consider the functions:


f(x) = x2


g(x) = (x + 1)2 – 2


h(x) = (x + 3)2 + 4


Which statement describes the relationship between the minimums of the functions?


a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).

b The minimum of g(x) is in the fourth quadrant. The minimum of h(x) is in the first quadrant.

c The minimum of g(x) is farther right and down than the minimum of f(x) and h(x).

d The minimum of g(x) is in the second quadrant. The minimum of h(x) is in the first quadrant.

Answers

Answer:

a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x)

Step-by-step explanation:

To know the relation between the minima of the functions you calculate the minima by using the derivative:

[tex]f'(x)=2x\\\\g'(x)=2(x+1)\\\\h'(x)=2(x+3)[/tex]

to find the values of x you equal the derivative of the function to zero:

[tex]f'(x)=0;\ x=0;\\\\g'(x)=0; \ x=-1;\\\\h'(x)=0;\ x=-3;[/tex]

by evaluating this values of x you obtain the coordinates of the minima:

[tex]f(0)=0\\\\g(-1)=-2\\\\h(-3)=4[/tex]

hence, the coordinates will be:

f -> (0,0)

g -> (-1,-2)

h -> (-3,4)

hence, the relation is:

a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).

What single transformation was applied to quadrilateral A to get to quadrilateral B​

Answers

Answer:

The answer is rotation.

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