plzzz guys help I'm so confused

At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 4.8%. Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.​

Answers

Answer 1

Answer:

y = 320,000 ( 1.048 ) ^x

x = number of years

(the  ^  before the x symbolizes "to the power of," but I can't do that on my keyboard)

Step-by-step explanation:

formula i used:

A = amount that you start with

t = amount of years / time

%increase: you must convert your percent (4.8%) to a decimal (0.048)

A ( 1 + %increase ) ^t

Answer 2

Answer:

y = 320,000(1.048)^t  

Step-by-step explanation:

4.8% = 0.048.

The population grows by 1.048 per year.

The required equation is:

y = 320,000(1.048)^t


Related Questions

8g+7+3g+12 can be written as?​

Answers

Answer:

11g + 19

Hope this helps

Step-by-step explanation:

Answer:

It can be also written as  11g+19.

Step-by-step explanation:

First, you would add the numbers with the 'g'

11g+7+12

then you would add the regular numbers.

11g+19

pls helppppppppppp



Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?

Answers

Answer:

okkk

Step-by-step explanation:

Answer:

I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!

Step-by-step explanation:

х²+хy-2y²=0
ху+x-y=1​

Answers

Answer:

I think if you use the differentiate formula then it will work

what's the length of line AB if point A is at (6,3 and point B is at (8,-8)

Answers

Answer:

Step-by-step explanation:

Solution,

Here,

A=(6,3) (x1,x2)

B=(8,-8) (y1,y2)

AB=?

Now,

(AB)^2=(x2-x1)^2+(y2-y1)^2

Now putting the value of x1,x2,y1,y2

=(3-6)^2+(-8+8)^2

= (-2)^2+(0)^2

= (-4,0)

AB=(-4,0)

Hope it helped you.

Plz mark me brainliest.

4-3y+(-7y)+6.9=

Fast PLZ!

Answers

Simplifying
7y + -4 = 3y + 6

Reorder the terms:
-4 + 7y = 3y + 6

Reorder the terms:
-4 + 7y = 6 + 3y

Solving
-4 + 7y = 6 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
-4 + 7y + -3y = 6 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-4 + 4y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 4y = 6 + 0
-4 + 4y = 6

Add '4' to each side of the equation.
-4 + 4 + 4y = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 4y = 6 + 4
4y = 6 + 4

Combine like terms: 6 + 4 = 10
4y = 10

Divide each side by '4'.
y = 2.5

Simplifying
y = 2.5

A hot air balloon is traveling at a altitude of 2400 feet. It begins to descend at a rate of 75 per minute. What is an expression that represents the rate of descent for the hot air balloon

Answers

Answer:

y=-75x+2400

Step-by-step explanation:

y is the height

-75 is the rate of change so you put that before your x

2400 is your starting value/y intercept

not very good explanation but hope this helps

The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers

Answers

The numbers are 8 and 5.
8+5=13
8-5=3

Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74

Answers

Answer:

36+14+24=74

Step-by-step explanation:

How i figured it out is if you add 36+14 that equals 50 and 50+24=74

that is your answer.

hope this helps;)

PLZ I NEED HELP!!A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?
A. 24
B. 21
C. 27
D. 32

Answers

Answer:

D. 32 feet

Step-by-step explanation:

A tree is 12 feet tall and casts a 9-foot shadow.

The shadow is 3/4 the length of the tree (9/12 = 3/4).

We know the shadow of a nearby building is 24 feet long.

That would be 3/4 of the height of the building.

So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.

24/1 * 4/3

Cross-cancellation

8/1 * 4/1

8 * 4

The building is 32 feet tall, which is D.

Somebody pls pls help me with this I’ll mark u brainliest

Answers

Answer:

Step-by-step explanation:

The angle of a line is 180 degrees. A right angle is 90 degrees, and the given angle is 55 degrees. All you have to do is add 90 and 55, and subtract that sum from 180.

Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 11 feet and 18 feet.

Answers

Answer: [tex]6ft < x < 30ft[/tex]

6ft is less then x and x is less then 30ft

Step-by-step explanation:

The possible length of the third side is 7 < x < 29.

What is a Triangle?

Polygon which has three sides and three vertices are called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The lengths of the other two sides of a triangle are 11 feet and 18 feet.

Let the third side's length is x feet.

The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.

That means,

18 + 11 > x.

And 11 + x > 18.

So, we have a possible choice,

11 + 18 < x

Simplifying,

29 < x.

Arranging in better terms,

x > 29.

Another possible choice,

18 -11 < x

7 < x

Combining both inequalities,

we get,

7 < x < 29.

Therefore, 7 < x < 29.

To learn more about the triangle;

https://brainly.com/question/2773823

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Does anyone know how to work this out

Answers

let x represent yellow cubes

blue cubes = 3x

green cubes = 15x

to make this simpler let's just say x = 1

so 1 yellow cube 3 blue cubes and 15 green cubes

so there are 19 cubes in total

1 of them are yellow

so she has a 1/19 chance of picking a yellow cube

Answer:

1/19

Step-by-step explanation:

y = number of yellow cubes

3y = number of blue cubes

5(3y) = number of green cubes

total number of cubes = 19

P(yellow) = 1/19

Hand me over the answers of B and C or perish

Answers

B.the rate of change represents that how much the ticket costs costs per tickets

C.the y intercept represents how much money it costs per 1 ticket

Hope this helps

Have a great day/night

What fraction goes in the box to make it correct?
4/11×_=1​

Answers

Step-by-step explanation:

[tex] \frac{11}{4} [/tex]

[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]

if it's helpful ❤❤❤

THANK YOU.

Question 2
5x + 2y = 4
9x + 2y = 12

Answers

Answer:

x-intercept(s):  ( 4 3 , 0 ) y-intercept(s):  ( 0 , 6 )

Step-by-step explanation:

Step-by-step explanation:

5x+2y =4

5x= 4-2y

x= 4-2y/5

Step by step explanation

Answers

Answer: x = 4

Step-by-step explanation:

   x/2=10/5

Multiply both sides of the equation by 2.

2⋅  x/2 = 10 /5 ⋅ 2

Simplify both sides of the equation.

Cancel the common factor of 2.

Rewrite the expression.

x= 2 ⋅ 10/5

Divide 10 by 5.

x= 2 ⋅ 10/5

Multiply 2 by 2.

x = 2 ⋅ 2

x = 4

please give brainiest :)

It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 150 miles?

Answers

Answer:

The correct answer is 11/2.

Answer:2 hours and 30 minutes

Step-by-step explanation:

they drive 60 miles in a hour.

A number h added to -3 is at most 3.4

Answers

As an expression h+-3=3.4
As an equation 6.4+-3=3.4

Which table represents a linear function?

Answers

Answer:

the second one

Step-by-step explanation:

The table that represents a linear function is the first one, where the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.

The first table:

x: 1,2,3,4,5

y: 5,20,45,80,125

In this table, the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.

The relationship between x and y is consistent and can be expressed by the equation y = 5x, which is a linear function.

The second table:

x: 1,2,3,4,5

y: 5,25,125,625,3125

In this table, the values of y are obtained by raising the corresponding values of x to increasing powers of 5.

The relationship between x and y is not consistent and cannot be expressed by a linear function.

Learn more about the Linear functions here:

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PLSS PLS HELP ITS DUE SOON IM DESPERATE

Answers

Answer:

The answer is A

Step-by-step explanation:

Use the form y = mx + b for your answer.  Since 32 is the starting point, it will represent b.  b represents the y intercept.  Since the temperature decreases every hour, the second part of the equation would -2h.  So, if you put it together, the final equation is y = -2h + 32.

How can polynomial functions be written when given the zeros?

Answers

Answer:

Write it in it’s factored form

Step-by-step explanation:

For more info you can look it up.

Solve the System of Equations -4x + 9y = 14 12x - 10y = - 8

Answers

Answer:

(1, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-4x + 9y = 14

12x - 10y = -8

Step 2: Rewrite Systems

-4x + 9y = 14

Multiply everything by 3:                    -12x + 27y = 42

Step 3: Redefine Systems

-12x + 27y = 42

12x - 10y = -8

Step 4: Solve for y

Elimination

Combine 2 equations:                    17y = 34Divide 26 on both sides:                y = 2

Step 5: Solve for x

Define equation:                    12x - 10y = -8Substitute in y:                       12x - 10(2) = -8Multiply:                                  12x - 20 = -8Isolate x term:                        12x = 12Isolate x:                                 x = 1

Step-by-step explanation:

HERE,

two equation are,

●-4x+9y=14••••••••••••(equation I)

●12x-10y=-8•••••••••••(equation II)

First multiplying 3 in equation I

we get,

[tex]\bold{3×(-4x+9y=14) }[/tex]

=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)

Then,

we combine the equationii and equation III.

we get that,

[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]

[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]

Then,

put the value of y in equation II.

WE get,

[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]

So,

solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)


Write the equation of the line pleaseeee

Answers

Answer:

y = 2/3x -1

Step-by-step explanation:

y intersect is -1 as that's where the line passes the y axis

the slope can be found by finding two points and using the slope formula (y-y)/(x-x)

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer:

2 1/3 cm

Step-by-step explanation:

Area = length x width

w = width

7/3 = 6/5w

cross-multiply: 30w = 70

w = 7/3 or 2 1/3

50 points!True or false? Will mark brainliest

Answers

Answer:

true

Step-by-step explanation:

Andre is choosing an outfit from 2 pants, 2 shirts, and 2 pairs of shoes. Pants Shirts Shoes Jeans Polo Sneakers Black pants T-shirt Flip-flops How many possible combinations are there? There are possible combinations.

Answers

Answer:

8 Possible Combinations

Step-by-step explanation:

Trust me my guy

Answer:

8

Step-by-step explanation:

Solve 2a−5≤13.

help please

Answers

Answer:

a≤9

Step-by-step explanation:

Answer:

a ≤ 9

Step-by-step explanation:

2a-5 ≤ 13

add +5 then divide both sides by 2 to isolate the variable

step 1: 2a-5+5 ≤ 13+5 → 2a ≤ 18

step 2: 2a/2 ≤ 18/2 → a ≤ 9

help me plz plz will mark branliest

Answers

Step-by-step explanation:

On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.

The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drives around the curve. He never drives above the speed limit. At what speed (s) was Mr. Gerard driving before the curve? Write and solve an inequality

Answers

Answer Mr. Gerard speed was at most 25 miles per hour before the curve

Step-by-step explanation:

How to solve the speed Mr. Gerard was driving before the curve

Let’s just assume that Gerard went exactly the speed limit 15 miles per hour (mph) after when he slowed down by 10 miles per hour and drove around the curve. The reason why I’m using exactly 15mph is because it’s the max speed he can go. He can go 15 miles per hour and still be safe, but it’s just that he can’t go any faster than that.

Now, you can do 15 + 10 to find the speed he went before he drove around the curve. So, that would be 25mph before he drove around the curve.

You might be asking: What if he went slower than 25mph before he drove around the curve, and what if he went faster than 25mph?

-When he drives exactly 25mph and slows down by 10mph when he makes the turn around the curve, he’s going exactly 15mph which it safe for him because it’s not faster than 15mph.

-It could be possible that he went slower than 25mph before he drove around the curve, but he still will be safe because when he makes the turn around the curve and slows down by 10 miles per hour, now he’ll reach below 15 miles per hour which is even safer for him. Here’s an example for you to understand: Let’s say he drove 23mph before the curve (which is less than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 13mph, which is less than the speed limit 15mph. You can take any number less than 25mph and he’ll still be safe because it will be less than 15mph.

-Now, if he went faster than 25mph, he wouldn’t be safe anymore because after when he slows down by 10mph and goes around the curve, he’ll be above the speed limit of 15mph. Here’s an example for you to understand: Let’s say he drove 27mph before the curve (which is faster than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 17mph, which is faster than the speed limit 15mph.

Answer: Mr. Gerard speed was at most 25 miles per hour before the curve

Graphing it

A way to graph this is to write out a compound inequality. You can write it as:

0 < y ≤ 25  ⇒ Where any speed has to be less than or equal to 25 miles per hour, because 25 miles per hour is the most/biggest speed Mr. Gerard can drive. But it has to be greater than 0 because you can’t go negative miles per hour, or 0 miles per hour

The graph is shown below ↓

I don’t know what graph you want, or how your teacher wants you to graph it. So I put two options for you :)

I hope you understand and that this helps with your question! :)

estimate and find the quotion in 281 divided by 9

Answers

300 divided by 10
Answer is 30
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