How would I solve this step by step

How Would I Solve This Step By Step

Answers

Answer 1

The year in which the total personal income will reach 22 trillion dollars is 2033 years.

What year will the total personal income reach 22?

The year in which the total personal income will reach 22 trillion dollars is calculated by applying a method known as extrapolation for the data in the table.

At year 1996, total personal income = 8429.2

At year 2001, total personal income = 10,239.5

At year ?, total personal income = 22,000

(? - 2001) / (2001 - 1996) = (22,000 - 10,239.5) / (10,239.5 - 8429.2)

(? - 2001 ) / 5 = 6.496

? - 2001 = 5 x 6.496

? - 2001 = 32.48

? = 2001 + 32.48

? = 2033.48

? ≈ 2033 years

Thus, the year in which the total personal income will reach 22 trillion dollars is 2033 years.

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Related Questions

The value of b is...

Answers

Answer:

58

Step-by-step explanation:

the value of b is 58

What is the reciprocal of 7 1/3? whats the reciprocal?

Answers

Answer:

3/22

Step-by-step explanation:

Reciprocal means the inverse of the fraction. For your mixed number 7 and 1/3, turn it into fraction by multiplying 7 with the denominator which is 3, then add the numerator which is 1 to get the numerator of a normal fraction which is 22. The numerator remains the same.

The fraction is 22/3. As mentioned above, reciprocal means the inverse, so the final answer is 3/22

The reciprocal of a number in mathematics is referred to as the inverse of that number.

This means that:

Given a number x, its reciprocal is :

[tex]x = x/ 1= 1/x[/tex]

Given a number 1/x, its reciprocal is

[tex]1/x = x/1[/tex]

The reciprocal of [tex]7\frac{1}{3}[/tex]  is [tex]\frac{3}{22}[/tex]

From the question, [tex]7\frac{1}{3}[/tex] is called a mixed fraction

Converting to an improper fraction

[tex]7\frac{1}{3}[/tex] = [tex]\frac{22}{3}[/tex]

The inverse of [tex]\frac{22}{3}[/tex]

[tex]\frac{22}{3}[/tex] = [tex]\frac{3}{22}[/tex]

Therefore, the reciprocal of [tex]7\frac{1}{3}[/tex]   is [tex]\frac{3}{22}[/tex]

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Translate to an equation and solve: 4 is the product of 8 and g.
g=

Answers

Answer:

4=8g

4/8 = 8g/8

g= 4/8=1/2

g=1/2

Step-by-step explanation:

The value of g is 1/2.

What is Equation?

An equation is a statement that two mathematical expressions have equal values. An equation simply states that two things are equal. The equal sign "=" is used to indicate it.

An algebraic expression or proposition claiming the equality of two quantities.

Given a phrase 4 is the product of 8 and g,

acc. to Question  

4 =  product of 8 and g

4 = 8 x g

4 = 8g

g = 4/8

g = 1/2

Therefore value of g is 1/2.

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There are 18 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital?

There are
men in the dance recital.

Answers

Answer:

15 males.

Step-by-step explanation:

Divide 18 by 6 to find the rate.

18 / 6 = 3 (rate)

Multiply.

5 * 3 = 15 males

Now, we can write this as 15:18 which ends up simplifying to 5:6

Best of Luck!

Answer:

12 men in the recital

Step-by-step explanation:

For every 3 women, there are 2 men. So 3 times what = 18? 6. Then 6 times 2= 12.

What is the measure of the angle formed by the minute hand and hour hand of a clock in each case?

at 6 o’clock
4 o'clock
3 o'clock

Answers

180°

120°

90°

hope this helps

Answer:

180°

120°

90°

Step-by-step explanation:

I don't know how to explain, but were you in RSM 6th grade honors / advanced?

In an art history class there are two male students for every three female students. What is the ratio of female to male students in that class?

Answers

Answer:

3:2

Step-by-step explanation:

3 females every 2 males

I do not know how to do this :)

Answers

The answer is -116 you’re welcome :)

Help! I asked one of the brainly tutors and they got it wrong! Please help!

Answers

Step-by-step explanation:

12x-15-4x+1=-6

12x-4x= -6+15-1

8x= 8

x=1

my answer is 100 % correct

Claire went to the movie theater. She spent $6.75 on a ticket, $3.00 on popcorn, and $2.00 on a drink. How much money did Claire spend at the movie theater?

lets boost pts

Answers

Answer:

Claire spent 11 dollars and 75 cents at the movie theater

Step-by-step explanation:

6.75+3.00=9.75+2.00=11.75

Answer:11.75

Step-by-step explanation:

5. What is the common difference in the
sequence 8, 433, 458, ...?
7
bindlho 1
1
21, 12
51, 12

Answers

Answer:

25

Step-by-step explanation:

The Sequence is not properly written. Here is the correct sequence

408, 433, 458...

THe sequence is an arithmetic sequence. The nth term of an arithmetic sequence is expressed as;

[tex]T_n = a+(n-1)d[/tex] where;

a is the first term

d is the common difference.

Common difference is the constant value that is being added to preceding term of the sequence to get the next value in the sequence.

T1 = 408

T2 = 433

T3 = 458

d = T3-T2 = T2-T1

d = 458-433 = 433-408

d = 25

Hence the common difference in the sequence is 25


What is the value of x?
What is the measure of What is the measure of What is the measure of

Answers

Step-by-step explanation:

180-134=46

180-82=98

x+2x+3x+72+46+98=360

6x=360-216

6x=144

x=24

180-24=156

a=156

180-48=132

b=132

180-72=108

c=108

Answer: it’s 108

Step-by-step explanation:

Express the distance
traveled as a function of the number of hours
at an average speed.

The Morris family is traveling from Providence to Fredricksburg. Given city traffic, they will average 45 miles per hour.

Answers

The distance the Morris family travels depends on the number of hours they travel, and can be calculated as 45 times the number of hours they travel.

The distance travelled as a function of the number of hours at an average speed can be expressed using the formula:

distance = speed x time, or d = st

In this case, the Morris family is traveling from Providence to Fredricksburg at an average speed of 45 miles per hour. Let t represent the number of hours they travel.

Therefore, the distance they travel can be expressed as:

distance = speed x time = 45t miles.

For example, if the Morris family travels for 4 hours, then the distance they travel is:

distance = 45 x 4 = 180 miles.

If they travel for 6 hours, then the distance they travel is:

distance = 45 x 6 = 270 miles.

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Alex is having a problem with spiders in his house. He proclaimed, “Every time I catch one spider, the number of remaining spiders doubles!” If there are now 194 spiders in Alex’s house, how many spiders were in his house before he caught the last 2 spiders?
a. 49
b. 50
c.52
d. 97

Answers

Answer:

B.

Step-by-step explanation:

Let's write an equation that expresses the relationship.

Let s denote the amount of spiders.

We know that every time Alex catches one spider, the remaining population doubles.

So, if s represent the population of spiders, if Alex catches 1, then the population will become (s-1).

However, for every catch, the population doubles, so, the new population will be 2(s-1).

Therefore, we can write the following equation:

[tex]s_n=2(s_o-1)[/tex]

Where s_n represents the new population and s_o represents the original population.

We know that there are now 194 spiders in Alex's house. We want to find the number of spiders in his house before he caught the last 2 spiders. So, let's solve for s_o twice.

Substitute 194 for s_n. Solve for s_o:

[tex]194=2(s_o-1)[/tex]

Divide by 2:

[tex]97=s_o-1\\\Rightarrow s_o=98[/tex]

Therefore, before catching the last spider, there were 98 spiders.

So, to find the number of spiders before the last 2, we will solve for s_0 again. This time, we will use 98 for s_n. So:

[tex]98=2(s_0-1)[/tex]

Solve for s_o:

[tex]\Rightarrow 49=s_o-1\\\Rightarrow s_o=50[/tex]

Therefore, there were 50 spiders in Alex's house before he caught the last 2 spiders given that the current population is 194 spiders.

Our answer is B.

Edit: Typo

Answer:

the answer is 50, or B.

Step-by-step explanation:

what is 4/6 into decimal​

Answers

1.5. if you divide the denominator by the numerator you will get your decimal.

Answer[tex]\implies[/tex] 0.666666667

Hope it helps you...

What is the value of the expression below when z =5 and w=5? 9z-3w

Answers

This is just about substitution!! 9(5)-3(5), 3 • 5 = 15
9 • 5 = 45
so Now you have, 45 - 15 = 30

Answer:

= 30

Step-by-step explanation:

9z-3w

9(5)-3(5)

Multiply:

45-3(5)

Multiply:

45-15

Subtract:

= 30

Two rectangles of the same shape have areas of 676 and 3,457 square centimetres. If the shorter side of the larger rectangle is 41 centimetres, what are the dimensions of the smaller one?

Answers

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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9. Five times a number is the same as the number added to five. What is the
number?

Answers

Let x be the number

5x = x + 5

subtract x from both sides

5x - x = 5

4x = 5

Divide both sides by 4

4x/4 = 5/4

x = 5/4

=======

Check:

5 * (5/4) = (5/4) + 5

25/4 = 1.25 + 5

6.25 = 6.25





Hope it helps . Note that I am a sixth grade student and I don’t know anything . I got help from somebody

Does anyone know how to solve this problem?​

Answers

Answer:

50, 130

Step-by-step explanation:

Since they are a linear pair they add to 180

z + ( 2.4z+10) = 180

Combine like terms

3.4z + 10 = 180

Subtract 10 from each side

3.4z+10-10 = 180-10

3.4z = 170

Divide each side by 3.4

3.4z/3.4 = 170/3.4

z = 50

2.4z + 10 = 130

Factor completely.
3x2-28x+49

Answers

Answer:

(3x-7) (x-7)

hope this helps C:

Wodkdmdnmdjdnssjssjxjddmskdmsmmsjsnsjsndjsndsjsjalqqpqpapsldxjdkndjdjdd

Use the sliders to adjust the original cost and markdown to
find the sale price
A $36 camera is marked down 30%,
Slide the Markdown bar until it shows 30%.
Original Price
Markdown
Sale Price
Sale Price Calculation
$50.00
$0.00
$50.00
What is the amount of the markdown?
$10 $20 $30 $40 $50 $60 $70 $80 $90
Original price: $ 50
Markdown: 0
What is the sale price?

Answers

Answer:

$25.2

Step-by-step explanation:

Marked price = $36

Marked down = 30%

Amount of mark down

30% of $36 = $36*30/100 = $10.8

Or

Each 10% = $36/10 = $3.630% = 3*$3.6 = $10.8

Sale price

$36 - $10.8 = $25.2

Answer:

$25.2

Step-by-step explanation:

We know that the original price is $36 and it was marked down 30%.

Turn the percentage into a decimal.

30% = 0.3

Multiply.

36 * 0.3 = 10.8

Subtract.

36 - 10.8 = 25.2

Best of Luck!

The second side of a triangular deck is 3 feet longer than the shortest side. The third side of the deck is 3 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 56feet, what are the lengths of the three sides?

Answers

The lengths of the three sides are 14 feet, 17 feet, and 25 feet.

Let's assume that the shortest side of the triangular deck has a length of x feet.

According to the given information, the second side of the deck is 3 feet longer than the shortest side. Therefore, its length would be (x + 3) feet.

The third side of the deck is 3 feet shorter than twice the length of the shortest side. Hence, its length would be (2x - 3) feet.

The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter is given as 56 feet. So, we can set up the following equation:

x + (x + 3) + (2x - 3) = 56

Simplifying the equation, we have:

4x = 56

Dividing both sides by 4, we find:

x = 14

Now, we can substitute the value of x back into the expressions for the

second and third sides:

Second side: x + 3 = 14 + 3 = 17 feet

Third side: 2x - 3 = 2(14) - 3 = 25 feet

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(-2)3+4divided(-15+9)(3)-4

Answers

Answer:

(-2)3+4divided(-15+9)(3)-4=====    -12

Step-by-step explanation:

I used a calculator, sorry for cheating brainly since I didnt use paper

Which conclusion is supported by the data from the multiple-year samples? Check all that apply

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

Hello There!

The correct answers are B: The number of bass decreased over time and C: The number of catfish increased over time.

Step-by-step explanation:

This is simply what the chart shows, as well as I got this correct on Edge :)

Factor the expression using the factoring pattern
25m^2+36

Answers

Answer:

25m2+36

Step-by-step explanation:

The property of addition which states that 15 + 7 = 7 + 15 is

Answers

Answer:

commutative property of addition states that when two numbers are being added, their order can be changed .

Step-by-step explanation:

2. What conjecture can you make about the eighteenth term in the pattern A, B, A, C, A, B, A, C?
(1 point)
The eighteenth term is C.
The eighteenth term is A.
There is not enough information.
The eighteenth term is B.

Answers

Answer:

The eighteenth term is B

Step-by-step explanation:

I could just write the pattern A B A C out until you get to the eighteenth term

A(1) B(2) A(3) C(4) A(5) B(6) A(7) C(8) A(9) B(10) A(11) C(12) A(13) B(14) A(15) C(16) A(17) B(18)

ILL GIVE BRAINLIEST AND LOTS OF POINTS FOR HALLOWEEN!!!

Answers

Answer:

I think the answer is 90˚

Step-by-step explanation:

I maybe wrong but I'm trying my best

I hope u get it right

I NEED THIS ASAP
9y=
y=?

Answers

The question is not complete

but I think it should be

y= -9

Hope it helps

Answer:

Y= -9

Step-by-step explanation:

I need to find the solution set

Answers

Answer:

y = -8

Step-by-step explanation:

Step 1: Write equation

9 - 4y = 1 - 5y

Step 2: Solve for y

Add 5y to both sides: 9 + y = 1Subtract 9 on both sides: y = -8

Step 3: Check

Plug in y to verify it's a solution.

9 - 4(-8) = 1 - 5(-8)

9 + 32 = 1 + 40

41 = 41

If you were to make a purchase of $233 and it was on sale for 15% off, how much money would you spend?

Answers

Answer:

198.05

Step-by-step explanation:

calculator

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