2.2.115

The per capita (per person) income from 1980 to 2010 can be modeled by

f(x) = 2000(X – 1980) + 10,000

where x is the year. Determine the year when the per capita income was $18,000.

The per capita income was $18,000 in the year N.

Answers

Answer 1

Answer:

X= 1984

Step-by-step explanation:

f(x) = 2000(X – 1980) + 10,000

Where,

f(x)= per capita income

x= year

Find x when f(x)= $18,000

f(x) = 2000(X – 1980) + 10,000

18,000 = 2000(X - 1980) + 10,000

18,000 = 2000X - 3,960,000 + 10,000

18,000 = 2000X - 3,950,000

Add 3,950,000 to both sides

18,000 + 3,950,000 = 2000X

3,968,000 = 2000X

Divide both sides by 2000

X= 3,968,000 / 2000

= 1984

X= 1984

Therefore, the per capita income was $18,000 in the year 1984


Related Questions

Oab.......................

Answers

Answer:

ok....…....…...…..…..……..…

Step-by-step explanation:

Answer:

Bsjxjxoa

Step-by-step explanation:

Jskzjakd, own, ks

Solve the equation for x.
(2x + 8) = –16
A)
-18
B)
-24
D
-28
D)
-36

Answers

Answer:

X = -12

Step-by-step explanation:

2x + 8 = - 16

2x = - 24

x = - 12

how do you solve these 2 task cards?

Answers

Answer:

DECIMAL TASK #30

$81.15

Step-by-step explanation:

12.95 x 2 = 25.9

or

12.95 + 12.95 = 25.9

and then

9.75 x 3 = 29.25

or

9.75 + 9.75 + 9.75 = 29.25

and then

the 26 from the popcorn and drinks

25.9 + 29.25 + 26 = 81.15

Task card 30 is 81.15
Task card 32 is 13

what is the value of m?

Answers

Answer:

4) M=5

Step-by-step explanation:

When multiplying exponents, you add them.  When raising an exponent to another power, you multiply them.

(x^5*x²)³=(x^7)³=x^21

Which expressions below equal a rational number? Select all that apply

Answers

Answer:

2/3 + 4/5

√3 - √3 ( = 0)

√49 - √1

Step-by-step explanation:

Expressions representing a rational numbers are B , D and E

What are rational numbers?

A number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.

What are irrational numbers?

Irrational number, any real number that cannot be expressed as the quotient of two integers.

How to find which expressions given equal a rational number?

Firstly, we know that π is an irrational number .

So π x √4 = 2π

2π is an irrational number and so option A cannot represent a rational number.

2/3 + 4/3 = 6/3 = 2

Since 2 is a rational number, we can say option b represents a rational number

[tex]\sqrt{36} + \sqrt{5}[/tex]

= 6 + [tex]\sqrt{5}[/tex]

We, know that  [tex]\sqrt{5}[/tex] is an irrational number , So option C cannot represent a rational number.

[tex]\sqrt{3} - \sqrt{3} = 0[/tex]

0 is a rational number

So, option D represents a rational number.

[tex](\sqrt{49} )(\sqrt{1} ) \\= 7[/tex]

7 is a rational number and so option E represents a rational number.

Find more about "Rational Numbers " here: https://brainly.com/question/1535013

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Seventy-five (75) customers at Crummy Burger today were entered in a drawing. Three names will be drawn, and each will win a prize. Determine the number of ways that the prizes can be distributed if all 3 prizes are a $10 gift card.

Answers

Answer:

the number of ways in which the prizes are allocated is 67,525

Step-by-step explanation:

Given that

Number of customers = 75

Number of prizes = 3

And, the value of gift card = $10

Based on the above information,

The number of ways in which the prizes are allocated is shown below:

[tex]=^{75} C_3[/tex]

= [tex]\frac{75!}{(3!\times(75-3)!}[/tex]

After solving this the number of ways that came is 67,525

hence, the number of ways in which the prizes are allocated is 67,525

The two parallelograms in the graph below are similar. Which sequence of transformations proves that the parallelograms are similar? A rotation 270° clockwise about the origin followed by a dilation with scale factor 5 A rotation 270° clockwise about the origin followed by a dilation with scale factor A rotation 90° clockwise about the origin followed by a dilation with scale factor A rotation 180° clockwise about the origin followed by a dilation with scale factor 5

Answers

Answer:

A rotation 90 degrees clockwise about the origin followed by a dilation with scale factor A

Step-by-step explanation:

The rotation is going clockwise, so that already eliminates the first, second, and third answer, leaving answer C

How much time has passed from the first clock to the second clock?

Answers

Is there an picture


2. Which of the following correctly compares the two parts of the function in
Item 1, over the intervals [0, 7] and [8, 11]?
A)Benito made an extra $25 after selling 7 shirts.
B)Benito spent $1 after selling 50 shirts.
C)The price of one shirt increases from $10 to $15.
D)Benito's profit per shirt increases from $10 to $15.

Answers

Answer:did you get the answer to this yet ?

Step-by-step explanation:

Please answer question 17 a and b.Please ASAP​ I'll mark as brainliest the answer that explained well and step by step .THANKS pleaseeeee hurry

Answers

X = 17

X + 3
———- = 5
4

Multiply both sides of the equation by 4

X + 3 = 20

Move constant to the right-hand side and change its sign

X + 3 = 20
-3 -3
X = 20 - 3

Subtract the numbers

X = 20 - 3

X = 17

Why should we care about gender inequality? HELP HELP HELLLPPP!!!

Answers

Answer:

Because we're not awful human beings, its not fair for men to be better than women

Step-by-step explanation:

Find the distance between the points C(−6, 5)
and D(−3, 1)
.

Answers

D(-3,1) is the right answer

Answer: Distance = 5

Consider the function f(x) = x2 – 331. Chivonne claims a domain restriction x ≥ 0 produces the inverse function f–1(x) = StartRoot x minus 331 EndRoot . Which statement describes whether Chivonne is correct? The expression for f–1(x) is correct, but the domain restriction is not. The domain restriction is correct, but the expression for f–1(x) is not. Both the expression for f–1(x) and the domain restriction are correct. Neither the domain restriction nor the expression for f–1(x) is correct.

Answers

Answer:

The correct option is;

The domain restriction is correct but the expression for f⁻¹(x) is not

Step-by-step explanation:

The expression for the function is given as follows;

f(x) = x² - 331

The inverse function suggested = f⁻¹(x) = √(x-331)

The domain restriction is x ≥ 0

The inverse function if given as follows;

y = x² - 331 (Interchange x and y to get)

x = y² - 331

x + 331 = y²

y = ±√(x + 331)

Given that the domain restriction has been put as x ≥ 0, we select the + case to give;

f⁻¹(x) = √(x + 331)

Therefore, the domain restriction is correct but the expression for f⁻¹(x) is not.

Answer: B

The domain restriction is correct, but the expression for f–1(x) is not.

Step-by-step explanation:

CAN SOMEONE PLS HELP ME ON THIS ONE.....

Answers

Answer:

Years 3-4 and the percentage change was by 8%. Please vote Brainliest!

Step-by-step explanation:

Answer:

C the greatest growth was between 3 and 4 and about 8%

Step-by-step explanation:

The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51. What are the two
numbers?
A. 12 and 4
В.15 and 7
C. 20 and 12
D. 23 and 15

Answers

The correct answer is b

Can anybody answer this for range?

Answers

Answer:

The answer is (2, 4)

Step-by-step explanation:

I hope this helps!

What fraction is equivalent to the repeating decimal number 1.5?

Answers

The answer is 3/2 because it’s repeating decimal number 1.5

The diameter of a circular tray is 28cm. Find the area of the tray. Take[Pi=22/7] ​

Answers

Answer:

616 cm²

Step-by-step explanation:

Area of circle:

A = πr² = 1/4πd²

Since d = 28 cm and π = 22/7, the area is:

1/4*22/7*28² = 616 cm²

PLEASE HELP ME!!. The local store where Tim shops charges 7% sales tax for clothing. Complete the table by figuring the cost of jeans after sales tax is applied. The first row has been done for you

Answers

Step-by-step explanation:

for 1 jeans

7% tax=7/100×25.68

=1.7976

So 1.7976$ is charged on one jeans.

7% tax for 2 jeans =2×1.7976

=3.5952$

Total price=3.5952+25.68

=29.2752

7% tax for 3 jeans=3×1.7976

=5.3928

Total price=5.3928+25.68

=31.0728

Hope this answer will help you

Answer:

$51.36

$77.04

Step-by-step explanation:

Multiply the cost of the number of pairs of jeans by the sales tax amount, 7%.

cost of 2 pairs:   48 + 7/100 x 48 = $51.36

 

cost of 3 pairs:   72 + 7/100 x 72 = $77.04

 

help me solve 4x - 3 < 7

Answers

Answer:

x< 2 1/2

Step-by-step explanation:

[tex]4x - 3 < 7[/tex]

Add 3 to both sides of the equation

[tex]4x - 3 + 3 < 7 + 3 \\ 4x < 7 + 3 \\ 4x < 10[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} < \frac{10}{4} [/tex]

Simplify

[tex]x < \frac{5}{2} [/tex]

The solution to the inequality is x < 5/2.

What is an inequality?

In Mathematics and Geometry, an inequality is a relation that compares two (2) or more numerical data, number, and variables in an algebraic equation based on any of the inequality symbols;

Greater than (>).Less than or equal to (≤).Less than (<).Greater than or equal to (≥).

In this scenario and exercise, we would determine the solution set to the given inequality for x in parts as follows;

4x - 3 < 7

By adding 3 to both sides of the inequality, we have:

4x - 3 + 3 < 7 + 3

4x < 10

x < 10/4

x < 5/2.

Read more on inequality here: brainly.com/question/30665021

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Write and solve the equation that represents the sentence below. The product of 18 and a number is 109.8. Which statements are correct? Check all that apply. It can be solved by using the division property of equality. It can be solved by using the multiplication property of equality. The equation should be StartFraction x Over 18 EndFraction = 109.8.

Answers

Answer:

a

Step-by-step explanation:

Answer:

a to a

Step-by-step explanation:

12. The cost of a scooter is 5685 more than the cost of a T.V. If the cost of the TV is 22643, find the total cost of scooter and T.V.​

Answers

Answer:

bro u just add them together

Step-by-step explanation:

5685+22643=28,328

The diagonal of a square is 10m long. What is the length of the side of the square?(Give your answer to the nearest cm)

Answers

Answer: 7 cm

Step-by-step explanation: The formula for this type of question is; √2×d÷2 where d stands for the diagonal so, √2×10÷2 = 7.071067812, to the nearest cm is 7cm.

Answer:

7 cm

Step-by-step explanation:

The diagonal divides the square into 2 right triangles.

Using Pythagoras' identity with the diagonal as the hypotenuse.

let x be the side of the square, then

x² + x² = 10²

2x² = 100 ( divide both sides by 2 )

x² = 50 ( take the square root of both sides )

x = [tex]\sqrt{50}[/tex] ≈ 7 cm ( to the nearest cm )

h/15 = 10 What does h equal??

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{h = 150}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{h}{15} = 10}[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{h = 10 \times 15 }}[/tex]

Multiply the numbers : 10 and 15

[tex] \dashrightarrow{ \sf{h = 150}}[/tex]

Hope I helped!

Best regards! :D

The cost of a ticket to a soccer game is $6. There are y people in a group who want to go to the game.

Which of the following expressions describes the total amount of money the group will need to go to the soccer game?


6−y

6y


y + 6


(6)(6)

Answers

Answer:

6y

Step-by-step explanation:

uhhhh

Find the distance between these points. round to the nearest hundreth. Points:(-8,-2) and (6,-1)

Answers

distance formula

sq root of (x2−x1)^2+(y2−y1)^2

sq root of (6−(−8))^2+((−1)−(−2))^2

simplify, its easier than it looks

sq root of 197

14.03566884

round to nearest hundreth

14.04

Point O is on line segment NP. Given NP = 3x, NO = 2x, and OP = 8,
determine the numerical length of NO.

Answers

Answer:

[tex]NO = 16\ units[/tex]

Step-by-step explanation:

Given

[tex]NP = 3x[/tex]

[tex]NO = 2x[/tex]

[tex]OP = 8[/tex]

Required

Determine NO

Since O is a segment on NP, we have that

[tex]NP = NO + OP[/tex]

Substitute values for these parameters

[tex]3x = 2x + 8[/tex]

Collect Like Terms

[tex]3x - 2x = 8[/tex]

[tex]x = 8[/tex]

Substitute 8 for x in [tex]NO = 2x[/tex]

[tex]NO = 2 * 8[/tex]

[tex]NO = 16\ units[/tex]

Which one of these numbers is not like the others? 21, 15, 6, 16, 27

Answers

Answer:

15

Step-by-step explanation:

Find the prime number.  15 is a prime, and the others aren't.

15 is a prime number the other ones aren't

Solve the equation. Then check your solution.
4-(3a + 4) = 7
a. -7.4
b. -6
C.
3
d. -3

Answers

Answer:

a = -7/3

Step-by-step explanation:

4 - (3a + 4) = 7

4 - 3a - 4 = 7

-3a = 7

a = -7/3

The answer is A all you have to do is distribute the function in order then simplify your answer

Find the product.
(4x - 3y) (2x + y)

Answers

Answer:

8x^2 - 2xy + 3y^2

Step-by-step explanation:

Use the FOIL method

8x^2 + 4xy - 6xy + 3y^2

8x^2 - 2xy + 3y^2

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