In 1992​, there were 41 comma 984 shopping centers in a certain country. In 2002​, there were 48 comma 225. ​(a) Write an equation expressing the number y of shopping centers in terms of the number x of years after 1992. ​(b) When will the number of shopping centers reach 80 comma 000​?

Answers

Answer 1

Answer:

Step-by-step explanation:

The equation expressing the number y of shopping centers in terms of the number x of years after 1992 will be LINEAR in nature

The standard equation is expressed as;

y = mx+c

m is the slope

c is the intercept

If in 1992​, there were 41,984 shopping centers in a certain country and in 2002​, there were 48,225 we can express this as coordinate points

(0, 41984) and (10, 48,225)

Get the slope

m = 48,225-41,984/10-0

m = 6241/10

m = 624.1

Get the intercept, substitute m = 624.1 and the point (0,48225) into the formula y = mx+c

48225 = 624.1(0)+c

48225 = 0+c

c = 48225

Get the required equation

y = 624.1x+48225


Related Questions

Given: AE= 7 5/8cm, AB=BC, CD= 1/2cm, and DE is 3/8 more than AB. What is the length of DE?

Answers

Answer:

Length of DE = 2.90 (Approx)

Step-by-step explanation:

Given:

AE = 7[tex]\frac{5}{8}[/tex]cm = 61 / 8 cm = 7.625 cm

AB = BC

CD = 1/2 cm = 0.5 cm

DE is 3/8 more than AB

Find:

Length of DE

Computation:

Assume;

AB = BC = x

So,

DE = x + 3/8(x) = [11 / 8]x = [1.375]x cm

AE = AB + BC + CD + DE

7.625 = x + x + 0.5 + [1.375]x

7.125 = 3.375 x

x = 2.1111 (Approx)

Length of DE = [1.375][2.111]

Length of DE = 2.90 (Approx)

what is 2/3i-3 simplified?

Answers

This is division of 2 complex numbers.


2__ =
3 - i

Multiply both numerator and denominator by conjugate number of the denominator.

2 * 3+ i =
3 - i 3 +i
separate the rational and irrational numbers from
each other


6 + 2i = 3 + 1 i
10 5 5

This is also division of 2 complex numbers into each other.

i need help......................

Answers

Answer:

D. i think

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

A circle has its center at (6, –3). One point on the circle is (3, 1). Which is another point that lies on the circle?

Answers

Answer:

(4,0)

Step-by-step explanation:

Enter the equation of the line in slope-intercept form.
The line passes through (1.4) and (3,18).
The equation of the line is

Answers

Answer:  y = 7x - 3

graphed equation attached

Step-by-step explanation:  Slope-intercept form . y= mx+b

m is the slope, b is the constant, the y-intercept.

First find the slope:  rise/run  

Rise is the difference in y-values  18-4 = 14

Run is the difference between x-values  3 - 1 = 2

The Slope is 14/2   simplify:

m = 7

Use this calculated slope with values of y and x from either of the given coordinates and calculate b

y = mx + b

18 = 7(3) + b

18 = 21 + b .  subtract 21 from both sides  18 - 21 = 21 -21 + b

-3 = b

Put these calculated values for m and b into the slope-intercept equation"

y = 7x - b

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
O
O
-5
--4
-3
-2 -1 0
2
3
+
4
5
O
+
-5 -4
-3
-2 -1
+
2
0
1
3
4
5
O
6
+
+
+
5
-5 -4
-2
-1
0
1
23
4
O
-5 -4
-2 -1
0
2
3
4
5
Up

Answers

Answer:

what is this you need to tell me what this is

Step-by-step explanation:

ok

please help me, I have asked this question two timed already. Also please show your work

the choices are..

2 three course meals
20 three course meals
7 three course meals
5 three course meals​​

Answers

Answer:

7

Step-by-step explanation:

15x is money for the people who have 3 course meals

12(10-x) =  120-12x is money for the people who have 2 courses.

15x+120-12x = 141

3x+120 = 141

3x = 21

x = 7

7 three course meals

comment if you need further explanation. I am here to help.

-0.931 as a fraction​

Answers

Answer:

-0.931

-----------

1000

Step-by-step explanation:

-0.931 = -931/1000

Solve the inequality 2(x-4)<12

Answers

Answer:

x < 10

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

2(x - 4) < 12

Step 2: Solve for x

Distribute 2:                    2x - 8 < 12Isolate x term:                 2x < 20Isolate x:                          x < 10

Here we see that any number x smaller than 10 would work as a solution of x.


click on photo
Need help ASAP! Please

Answers

In slope intercept form it would be
Y = -x -3

Answer:

y= -1x -3

Step-by-step explanation:

3x + 3y= -9

3y= -3x -9

y= -1x -3

Consider the equation 3x + 1 = 2x + 5
(a) Why can't you determine whether this equation is true of false?

Answers

you can’t technically solve it because there’s no question

Find f (x)^-1 of f (x) = ....

(Look at picture)

Answers

Answer:

It's the last one

[tex] {x}^{2} + 6x[/tex]

Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 18,then it is a multiple of 9.
If a number is a multiple of 9, then it is a multiple of 3.
a
The number is a multiple of 3.
b
The number is a multiple of 9.
c
If a number is not a multiple of 3, then the number is not a multiple of 18.
d
If a number is a multiple of 18, then it is a multiple of 3.

Answers

Answer: B) if a number is a multiple of 18 then it is a multiple of 3

Step-by-step explanation:

A line is represented by the equation y/x−2=3/11 . Select all the coordinates of points that lie on the line.
A. (−163, −2)
B. (0, 2)
C. (5, 911)
D. (0, 611)

Answers

Answer:

To determine the answer, we must graph each point and the line.

According to this graph, the point that lies on the line is B. (0, 2).

*Note: the line shown on the graph is [tex]y = \frac{3}{11}x + 2[/tex], which is the equivalent of the one in the question. All I did was solve the equation for y to convert it to slope-intercept form.

I need help with this pls!!

Answers

answer : (12,4)
that is the max point

Mark bought groceries two days during the week.
.
Mark purchased $15.00 worth of groceries and paid $17.10 after taxes on Monday.

Mark paid $51.30 after taxes on a purchase of groceries that cost $ 45.00 on Friday

Which equation models the relationship between y, the cost of the groceries after taxes,
and x, the cost of the groceries before taxes?

A. y=0.15x
B. y=1.14x + 0.15
C. y=1.14x
D. y=.015x + 17.10

Answers

Answer:

Its either A or C

Step-by-step explanation: times the 45.00 x 0.15 and then try 45.00 x 1.14 it will give you the answer :D

(ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

Answers

Answer:

The instantaneous velocity at [tex]t = 2[/tex] is [tex]-6[/tex].

Step-by-step explanation:

We have the position as the function

[tex]s(t) = -2 - 6t[/tex]

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.

so finding the derivate of  [tex]s(t) = -2 - 6t[/tex]

∴ [tex]s'(t)=-6[/tex]

The instantaneous velocity at [tex]t = 2[/tex]

[tex]s'(2)=-6[/tex]

Therefore, the instantaneous velocity at [tex]t = 2[/tex] is [tex]-6[/tex].

Please note that the negative value indicates the direction of movement, in this case, it would be backward.

Rosa is looking at a map of the park that is laid out on a coordinate plane. Rosa is at(1, -1). The shelter house is at (-2, -4) and the fossil exhibit is at (3, 2). Each unit on the map represents 100 feet. How much closer is rosa to the fossil exhibit than to the shelter house

Answers

Answer:

[tex]63.709feet[/tex]

Step-by-step explanation:

This deals with the distance between two pointsuse the equation [tex]distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex] So we do the follow stepsFind distance from Rosa to Shelter houseFind distance from Rosa to Fossil exhibitSubtract the two answers to see differenceSo distance from Rosa to Shelter, we use (1,-1) and (-2,-4) so you plug your points in as follows [tex](1,-1)=(x_1,y_1)[/tex] and [tex](-2,-4)=(x_2,y_2)[/tex]  so then[tex]distance=\sqrt{((-2)-(1))^{2}+((-4)-(-1))^{2}}\\ distance=\sqrt{(-3)^{2}+(-3)^{2}}\\ distance=\sqrt{9+9}\\ distance=\sqrt{18}=4.24264[/tex] approximately (round off as they require)Now putting that into feet [tex]4.24264*100feet=424.264feet[/tex] Then next, distance from Rosa to Fossil exhibit, we use (1,-1) and (3,2) so you plug your points in as follows[tex]distance=\sqrt{((3)-(1))^{2}+((2)-(-1))^{2}}\\ distance=\sqrt{(2)^{2}+(3)^{2}}\\ distance=\sqrt{4+9}\\ distance=\sqrt{13}=3.60555[/tex]    approximately (round off as they require)Now putting that into feet [tex]3.60555*100feet=360.555feet[/tex] So right away we know, Rosa is closer to the Fossil exhibit than the ShelterThen to know by how much we subtract the longer distance from the shorter so [tex]424.264feet-360.555feet=63.709feet[/tex]

Rosa is closer to fossil exhibit than shelter house.

What is Distance Formula?

The two points in the cartesian plane P(a, b) and Q(c, d) then the distance between P and Q is

PQ = √c-a )² + (d-b)²

The distance from Rosa to shelter house

d= √(-2-1)² + (-4 +1)²

d =√9 + 9

d = √18

d = 4.24

and, the distance from Rosa to fossil exhibit

d= √(3-1)² + (2+1)²

d =√4 + 9

d= √13

d= 3.6

Learn more about Distance formula here:

https://brainly.com/question/25841655

#SPJ2

What’s the answer? ;)

Answers

Answer:

Justin got 51 questions correct

Step-by-step explanation:

Find 85% of 60: 85% of 60 = [tex]\frac{85}{100}[/tex] × [tex]\frac{60}{1}[/tex]  [tex]\frac{85}{100}[/tex] × [tex]\frac{60}{1} = \frac{5100}{100}[/tex]  [tex]\frac{5100}{100} = \frac{51}{1} = 51[/tex]  So, 85% of 60 = 51

I hope this helps!

How much interest is earned on a principal of $646 invested at an interest rate of 5% for 2 years?

Answers

this is algebra 1 or 2

HELP
A political polling agency predicts candidate A will win an election with 54% of the votes. Their poll has a margin of error of 4% both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x, for candidate A?

50 ≤ x ≤ 58
x ≥ 50 or x ≤ 58
x ≥ 52 or x ≤ 56
52 ≤ x ≤ 56

Answers

Try your best but I think the answer is the first one.

50 + 4 = 54

MARGIN OF ERROR - 4%

54 + 4 = 58

THE FIRST SHOULD BE YOUR ANSWER.

Answer:

Step-by-step explanation:

The answer is A

PLEASE HELP URGENT!!!!!!!!!!!!
Thomas drew a line of best fit for the scatterplot shown. Write an equation for the line of best fit in slope intercept form. Show your work

Answers

Answer:

y=-2/3x+108

Step-by-step explanation:

If you look at the graph for "perfect points"(that's what I call them) you can get rise over run aka slope. In this case, it's -2/3. As for the y-intercept, following the graph's pattern, the y-intercept is 108. Just substitute the values into y=mx+b.

Sam wants to fill a rectangular box with sand for his cat. What measure should be use to find out how much sand he needs to fill the box?

O surface area
O volume
O area
O lateral area

Answers

Answer:

volume

Step-by-step explanation:

He wants to FILL the box didn’t say cover it.

HOPE THIS HELPS’

PLZZ MARK BRAINLIEST

Answer:

The other person is correct, it is volume

Step-by-step explanation:

Legit took the test 1 minute ago

Subtract 25 from all and find out which is the most accurate.

25.32

25.76

24.73

Answers

Accurate to what??? I’m not understanding what that will help me with

A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?

A.
-28.47° latitude and 7.35° longitude
B.
-28.47° latitude and -7.35° longitude
C.
28.47° latitude and -7.35° longitude
D.
38.34° latitude and 220.95° longitude
E.
-38.34° latitude and 220.95° longitude

Answers

Answer:

The answer should be B

Step-by-step explanation:

to find the net change you need to do final minus initial. So the final would be Jakarta and the initial would be Hong Kong. so just subtract Jakarta's latitude from Hong Kong's and the same for longitude

Answer:

B also, I am this account. Im back guys. Gonna give away more points when I have enough points

Step-by-step explanation:

help me plz thank you i would mark brainlist

Answers

Answer: im not good at math

Step-by-step explanation:

abc is isosceles a=48 and b=4x+4 x=?

Answers

Answer:

x=11

Step-by-step explanation:

=>4x+4=48

=>4x=48-4

=>x=44/4

=>x=11

please can you help me?

Answers

Answer:

please can you help me?

5^18

Answer:

[tex]5^{18}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](5^3)^{6}[/tex]

= [tex]5^{3(6)}[/tex]

= [tex]5^{18}[/tex]

The question is in the image! Please help if u can its due really soon

Answers

Answer:

59

Step-by-step explanation:

EOF + AOB + FOA = 180 degrees

FOA = COD (theyre on the same lines, directly across from each other)

EOF = 33

AOB = 88

EOF + AOB = 121

180-121=59

FOA = 59

COD = 59

Dee Anna has a roast that weighs 5.5 pounds. The recipe she is using calls for a roast that is 80 ounces. How many ounces does she need to cut off of the roast to make it the correct size?

Answers

Answer:

24

Step-by-step explanation:

well yea just trust me :)

Answer:

8 oz.

Step-by-step explanation:

there are 88 oz in 5.5 lbs.

the recipe calls for 80 oz.

subtract 88 from 80

answer - 8 ozs cut off.

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