If TOWN A has a yearly population of 3,225 and is growing by 100 people each year and TOWN B has a yearly population of 3,300 and is growing by 75 people per year, after how many years will the two populations be equal?

Answers

Answer 1

let N represent the year they'll be equal
so Town A arithmetic progressive expression =
tn=3225+(n-1)100
tn= 3225+100n-100 = 3125+100n

for Town B you have
tn= 3300+(n-1)75 = 3300+75n-75 = 3225+75n
equating both A and B
3125+100n=3225+75n
100n-75n=3225-3125
25n= 100
n=100÷25=4
n=4years

they'll be equal after 4years

Related Questions

need help with this geometry question, solving for x and please explain the formula for this

Answers

Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.

Can someone explain 15-20? I really need help and it's due tomorrow. Thank you in advance!

Answers

15-20 is -5. If you put 15 on a number line and go back twenty spaces you land on -5 hope this helps.

ok so one of the halves will always be half of the other so
15) NL = 5 because since JM = 14 Mk =7 because it is half of JM same goes for the other side since JN =10 NL =5
i hope this helped

Kevin's bucket contains 2 1/2 gal of water. If he gives his horse 2/3 of the water, how much water does the horse get?

Answers

2.5 Gallons of water ..
2/3 of the 2.5 Gallons = 1.67 Gallons of water is the amount the horse will get :)

Answer:

2.5

Step-by-step explanation:

Write a compound inequality that represents the situation.

all real numbers at least –6 and at most 3

Answers

Answer:

[tex]\[-6 \leqslant x \leqslant 3\][/tex]

Step-by-step explanation:

The requirement is to represent a compound inequality with all real numbers at least –6 and at most 3.

This can be broken into two parts:

a) All real numbers at least -6

[tex]\[x\geqslant -6\][/tex]

b) All real numbers at most 3

[tex]\[x \leqslant 3\][/tex]

Combining the two inequalities to generate the compound inequality:

[tex]\[-6 \leqslant x \leqslant 3\][/tex]

If f(x) = 5x, what is f–1(x)?
A. f–1(x) = –5x
B. f-1(x)=-1/5x
C. f-1(x)=1/5x
D. f–1(x) = 5x

Answers

To get the inverse of a function interchange
the x's with the y'x and solve for y, as follows:
y=5x-7

Interchange to get:
x=5y-7
Solve for y to get:
y=(1/5)x+(7/5)

so I think it might be c

Answer:

The answer is C.

Step-by-step explanation:

Step 1: Replace f(x) with y.

f(x)=5x >>>>> y=5x

Step 2: Switch x and y.

y=5x >>>>> x=5y

Step 3: Solve for y

x=5y >>>> y= x/5

Then you have to do the inverse of dividing by 5. Which is multipilying by 1/5. This leaves you with,

y= 1/5x

Step 4: Write in standard inverse notation (Replace y with f^-1(x))

f^-1(x)=1/5x

Note: These steps work with ANY problem where you have to find the inverse function. I hope this helps :)

Your survey indicates the following favorite beverage choices: 20 milk, 13 water, 22 soda, 32 coffee. What percentage of customers can you satisfy if you just serve milk or water?

Answers

20+13=33 out of 33+22+32=87
33 out of (/) 87 = 33/87=0.379 or 0.38 or 38% :)

28.71% of Customers will be satisfied from just milk or water.

work: 20+13=33 +(22+32)=87
87 x .33 = 28.71

-10x-2(5x+4)-[-2(3x-4)-2x]=0

Answers

If you're looking for what is, x = 4/3 (or) 1.3...

Mark as brainliest if l helped!

Can someone help me really quickly please? I already have an answer, but im not sure if it's wrong or right :/

Answers

Substitute in the values into the inequality.

11(-6) - 14(-6) > 18
-66 - (-84) > 18
-66+84 > 18
18>18

Since 18 is not greater than 18, the answer is false.

Hope this helps!

No! (-6, -6) Is the solution to 11x-14y>18

This writing prompts is hard

Answers

a.) Simplifying the equation would lead you to 15x^2-3x+9

b.) You know your answer is correct because you're adding the two polynomials together. 9x^2+6x^2 is 1tx^2. Now you have 2x-5x and since the negative is bigger, you get -3x. Then 5+4 is 9. You have no like terms therefore your answer is 15x^2-3x+9

Θ is an acute angle and cosecant theta equals nine halves commacscθ= 9 2, find secant ((pi over 2) minus theta) .sec π 2−θ. do not use a calculator and express

Answers

?????????IM NOT SUREEEE

The sum of 2 numbers is 44 the smaller number is 16 less than the larger number what are the numbers

Answers

x=27 and y=11
if you let each number equal x and y we know the sum is 38 so x+y=38
and the smaller is 16 less than the larger
. so if we say the smaller number is 7 then x-16=y
these can be solved as a simultaneous equation. x+(x-16)=38
2x-16=38
2x=54
x=27
(27)-16=y
y=11
so the answer is x=27 y=11

What is the equation of a line with a slope of 2 that goes through the point (4,12)?

Answers

Formula for point-slope: [tex]y - y1 = m(x-x1)[/tex]
Plug in the values: [tex]y -12 = 2(x - 4) [/tex]

And there you have your answer in point-slope form

how many outliers are there in this data set 1, 4, 6, 9, 12, 13, 13, 17, 19
A. 2
B. 3
C. None
D. 1

Answers

Just find the average and whatever is more than like say 5 away is an out lier

Which graph represents the solution set of the system of inequalities?

{3y≥x−9
3x+y>−3
WHICH ONE ?

Answers

the first graph

the solid line passes through (0,-3) and (0,9)

dotted line passes through (0,-3) and (0,-1)

see attached sketch

What is the surface area of a sphere with a diameter of 16 cm?

A. 1,024n cm²

B. 32n cm²

C. 256n cm²

D. 128n cm²

Answers

C is the correct answer

Answer:

The correct option is C. The surface area of a sphere is 256π cm².

Step-by-step explanation:

Given information: The diameter of the circle is 16 cm.

[tex]r=\frac{d}{2}=\frac{16}{2}=8[/tex]

Radius of the circle is 8 cm.

Surface area of a sphere is

[tex]A=4\pi r^2[/tex]

Where, r is radius.

[tex]A=4\pi (8)^2[/tex]

[tex]A=4\pi (64)[/tex]

[tex]A=256\pi[/tex]

The surface area of a sphere is 256π cm². Therefore the correct option is C.

What is 7.4/2.5 = 16/y what is y

Answers

7.4/2.5=16/y
2.96=16/y
y·2.96=16/y·y
2.96y=16
2.96y/2.96=16/2.96
y=5.4

If 5 is transformed into 11 and 12 is transformed into 25, then what does 15 become

Answers

5x2=10+1=11 12x2=24+5=24+1=25 15×2=30+1=31 so the awnser is 31

Two trains leave a station at 11:00am. one train travels north at a rate of 75 mph and another travels east at a rate of 60 mph. assuming the trains do not stop, about how many minutes will it take for the trains to be 150 miles apart

Answers

it should be about 7.5 hours

What was the approximate number of mobile cellular subscriptions per 100 people in Zimbabwe in 2003?

The display gives the result of performing an exponential regression on a data set where the inputs are years since 2000 and the outputs are the corresponding mobile cellular subscriptions per 100 on Zimbabwe.

ExpReg
y=a*b^x
a=1.067905095
b=1.501755837
r^2=.9525580427
r= .9759908005

A. 2
B. 4
C. 6
D. 8

Answers

The answer is 4 when you plug in the equation and solve it equals 4

Answer:

B. 4

Step-by-step explanation:

Given exponential model that shows the number of mobile cellular subscriptions per 100 people in Zimbabwe since 2000,

[tex]y=a b^x[/tex]

Where,

a=1.067905095

b=1.501755837,

[tex]\implies y=1.067905095(1.501755837)^x[/tex]

Since, the number of years from 2000 to 2003 = 3,

Thus, for finding the number of subscriptions in 2003,

x = 3,

Hence, the number of mobile cellular subscriptions per 100 people in Zimbabwe in 2003 is

[tex]y=1.067905095(1.501755837)^3=3.61685122094\approx 4[/tex]

Option 'B' is correct.

Jacks wild souvenirs shop is selling all shirts for $10 each and all flip flops for $5 per pair. At the end of one day jacks shirts and flip flops sales totaled $325 for $41 items. How many shirts and flip flops did jack sell?

Answers

Let x = the number of shirts sold
Let y = the number of pairs of flip flops sold

Because 41 items were sold, therefore
x + y = 41 (1)

Shirts sell for $10 each, and a pair of flip flops for $5 per pair (or $2.50 each). Total sales is $325.
Therefore.
10x + 5y = 325
or, divide by 5 to obtain
2x + y = 65 (2)

Subtract (1) from (2).
2x + y - (x + y) = 65 - 41
x = 24
From (1), obtain
y = 41 - x = 41 - 24 = 17

Answer:
Jack sold 24 shirts and 17 pairs (or 34) of flip flops.

Which inequality's solution is graphed here?
A) x + 9 < 5
B) x - 5 < 9
C) x + 5 < 9
D) x - 9 < 5

Answers

there is an open dot on 4.....an open dot means there is no equal sign in the problem....and it is shaded to the left...means it is less then. So ur looking for an inequality with the answer being x < 4.

x + 5 < 9 <== its gonna be this one
x < 9 - 5
x < 4

Answer:

x + 5 < 9 <== its gonna be this one

x < 9 - 5

x < 4

What is the exterior angle of triangle ABC

These are the points:
A=3, B=10, C=6

Answers

Based off of what I can see in the photo (its too blurry to know for sure) and what I think you're asking:

The angle of a triangle always adds up to 360degrees, so base it on that and the acute and obtuse angles and get the degrees from there, the angle would be those degrees you find or <10, 5, 4 (what I assume is a 5)

If x is an even number, the function f(x) = 2x − 1 gives an odd number. Identify the set of odd numbers corresponding to this set of even numbers: {0, 2, 4, 6, 8}.

Answers

x = {0, 2, 4, 6, 8}.

=> f(x) = 2x - 1

x                  f(x) = 2x - 1

0                   2*0 - 1 = - 1

2                   2*2 - 1 = 3

4                   2*4 - 1 = 7

6                   2*6 - 1 = 11

8                   2*8 - 1 = 15

Answer: {-1, 3, 7, 11, 15}

Calculate the loss on selling 50 shares of stock originally bought at 13 and 3/4 and sold at 12

Answers

Note that 13 3/4 = 13.75.

The cost of purchasing the stock is
(50 shares)*(13.75 $/share) = $687.50

The revenue generated by selling the 50 shares at $12 per share is
(50 shares)*(12 $/share) = $600.00

Gain = 600.00 - 687.50 = - $87.50
The loss is $87.50

Answer: $87.50

When the measured number 0.0090 is multiplied by the measured number 87.10, the answer has two significant figures?

Answers

Correct.
The number 0.0090 has two significant figures in it, as we can represent the placeholder zeros (the ones between the decimal and the first 'significant' number - in this case, the 9) with a power of ten: 9.0x10^-3. Additionally, it is a measured number, meaning whatever instrument was used to measure displayed the zero in the ten thousandths place.
The number 87.10 has four significant figures. There are no placeholder zeros between the decimal and a 'significant' number, and it is also a measurement made by an instrument which displayed a zero in the hundredths place.
When numbers are multiplied or divided, the answer should be rounded to the same number of significant figures as the value with the least number of sig figs in the calculation.
0.0090 x 87.10 = 0.7839
= 0.78 rounded to 2 sig figs
or
7.8 x 10^-1 in scientific notation

A new car has an msrp of $20,150, and it comes with a sport package priced at $1500, a stereo package priced at $500, and a destination charge of $700. what is the sticker price of this car?

Answers

22850 is the answer
Thanks (:

(a) if cigarettes are priced at $6 a pack, how many packs will smokers buy flashcards

Answers

Given the table below which depicts the market demand for cigarettes.

[tex]\begin{tabular} {|p{3.9cm}|c|c|c|c|c|c|c|c|} Price per pack&\$10&\$9&\$8&\$7&\$6&\$5&\$4&\$3\\[1ex] Quantity demanded (millions of packs per year)&2&4&6&8&10&12&14&16 \end{tabular}[/tex]

Part a:

If cigarettes are priced at $6 a pack, how many packs will smokers buy?

From the table it can be seen that when the price per pack of cigarette is $6, the quantity demanded is 10 million packs per year.

Therefore, if cigarettes are priced at $6 a pack, smokers will buy 10 million packs per year.

Jake is comparing the prices of two laundry service companies . company a charges $20 per load and an additional $8 as service charges . company B charges $24 per load and an additional $4 as service charges .

part A: write equations to represent company a's and company b's total laundry charges for a certain number of loads. define the variable used in the equations

part B: which company would charge less for 5 seconds of laundry ?

part C: how much money is saved by using the services of company A instead of company B to clean 9 loads of laundry

Answers

If you meant loads instead of seconds then this is what you get:

Part A:
A(x)= 20x+8
B(x)= 24x+4

Part B:
Company A. It cost $108 for 5 loads, while it cost $124 for 5 loads using company B

Part C:
For 9 loads, you save $32 when using company A vs company B.

A local charity sponsors a 5K race to raise money. It receives $25 per race entry and $5,000 in donations, but it must spend $5 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise more than $25,000. Show your work!

Answers

The charity needs at least 1001 entries to raise more than $25000. Let n be the number of race entries, i be the income of the race, and c the cost of the race. The money that the 5K brings in is given by i = 25 * n + 5000 The cost is given by c = n * 5 Now if the charity needs to raise more than 25000 then the income minus the cost must be greater than 25000. 25000 < i - c subsituting for i and c 25000 < i - c = (25 * n + 5000 ) - (5 * n) simplifying results in 25000 < 25*n - 5*n + 5000 25000 < 20*n + 5000 20000 < 20*n 1000 < n The number of entries must be greater than 1000. Since entries must be an integer the charity needs at least 1001 entries.

There are 240 coins in a jar, all dimes and quarters. The value of the coins in the jar is $27.60. There are nine times as many dimes as there are quarters. How many dimes (d ) are in the jar?

Answers

I believe it is 28 dimes
.25 × 30 = 7.50
.10 × 190 = 19
19 + 7.50 = 26.50
Then, you add 4 more quarters which is 27.50 and the 28 dime makes it 27.60

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