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

Pls help it due ASAP and show workings

Answers

Answer:

it's 70°

Step-by-step explanation:

well first by vertical angles we know that

[tex]\angle BAC = \angle DAE\\\\\angle DAE = 4x+6[/tex] ( I don't know how to put the symbol xd)

and given we know that

[tex]\angle EAF = \angle EAD = 4x+6[/tex]

solving for x

we know that

[tex]\angle CAD = 180\\\\\angle CAB + \angle ABD = 180\\\\4x+6+6x+14=180\\\\10x+20=180\\\\10x=160\\\\x=16[/tex]

and now for [tex]\angle EAF[/tex]

[tex]\angle EAF = 4x+6\\\\\angle EAF = 4(16)+6\\\\\angle EAF = 64+6\\\\\angle EAF = 70[/tex]

On a long hike, Greg forgets to fill his canteen. Fortunately, Harold has 40 ounces of water and jake has 60 ounces. The three hikers share water so that each gets an equal amount. At the end of the hike, Greg gives Harold and Jake $5 to split for the water they gave him. How much should Harold and Jake get?

Answers

Answer:

Jake should get $3 because he would have given more water since he had the most out of all of them. Harold should get $2 because he gave less water

Step-by-step explanation:

The amount that Harold and Jake will get is $2 and $3, respectively.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Harold has 40 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 40 ounces of water / 3 person

                             = (40/3) ounces per person

Thus, Greg will get (40/3) ounces of water from Harold.

Similarly, Jake has 60 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 60 ounces of water / 3 person

                             = (60/3) ounces per person

Thus, Greg will get (60/3) ounces of water from Harold.

Further, Harold and Jake will get the money in the ratio of the amount of water they shared, therefore, we can write,

(40/3)x + (60/3)x = $5

(40x + 60x)/3 = 5

100x = 5 × 3

x = 15/100

Furthermore, the money each of two will get is,

Amount that Harold will get,

(40/3)x

= (40/3) × (15/100)

= $2

Amount that Jake will get,

(60/3)x

= (60/3) × (15/100)

= $3

Hence, the amount that Harold and Jake will get is $2 and $3, respectively.

Learn more about Ratios here:

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5 3/13 rounded to the nearest whole number

Answers

Answer:

it should be 5

Step-by-step explanation:

3/13 is smaller than 5.5 which would round up to 6, therfore is should be 5

Answer:

37

Step-by-step explanation:

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

Answers

Answer: 3/16

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Jessica deposited $5000 in a simple interest account 4 years ago. She has earned $680 in interest so far. What is the interest rate for this account?

Answers

Answer:

$170

Step-by-step explanation:

every year she got $170 interested

Simplify
2x + x + x + 2y x 3yx y
Answer ?

Answers

Answer:

4x + 6y ...y cube

like y square y cube y3

Answer:

4x + 6y^3

Step-by-step explanation:

2x + x +x + 2y x 3y x y

4x + 6y^3

Please help a bruddah out its 8 pm and I'm grinding on schoolwork.

Answers

This is the answer I got according to the app called “Math”
i got 140 z ^2 the square root and 6z in the square root

Ivan in inventory has a whole bunch of numbers just sitting around. He wants to build a “Multiples of 2” set in his free time. How can he tell which numbers belong in this set?

Answers

Answer:

If they are divisible by 2

Step-by-step explanation:

:))

like ex.

2 4 6 8 10 12

Bagels at Walmart are 4 bagels for $3.00. What is the unit rate?

Answers

Answer:

0.75 per bagel

Step-by-step explanation:

$3.00 divided by 4 bagels is 0.75 cents for a bagel

The unit rate is $1.3.

To find unit rate you divide.

So in this problem you divide 4 by 3.00 and get 1.3333333 ect. It’s just 1.3. Then add the $ sign. So the answer is $1.3.

Help please, will mark you brainliest (Only if the answer is correct)

Answers

Answer:take numbers first, the Lcm is 24

Consider x, the highest power is 2

y, the highest power is 3

and z has 2 as its highest power.

:. The lcm is 24 x^2y^3z^2

Step-by-step explanation:

Answer:

this is me with another account, adding another anser just to mark you brainliest lol

Step-by-step explanation:

2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2 marks) Let Then represent the first number will represent the second number b) What is the equation that represents the above situation? (2 marks) c) Solve the equation. (2 marks)

Answers

Answer:

Larger number = 34

Smaller number = 17

Step-by-step explanation:

Given that:

Sum of numbers = 51

Let,

x be the larger number

y be the smaller number

According to given statement;

x+y=51       Eqn 1

x = 2y        Eqn 2

Putting x=2y in Eqn 1

2y+y=51

3y=51

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{51}{3}\\y=17[/tex]

Putting y=17 in Eqn 2

x=2(17)

x=34

Hence,

Larger number = 34

Smaller number = 17

proof im actually 15 ANNIE

Answers

Answer:

.

Step-by-step explanation:

Answer:

????

Step-by-step explanation:

lol can I pls get brainliest

() = 5
3 + 2
2 + − 2; = −1

Answers

so what do u need to know? the answer.. fill in the blank or. like cmon now

What is the length of segment AB?

A) 2
B)2.5
C) 5
D) 10

Answers

It’s 10. Explanation: AB is parallel to DE and AB is twice the size of DE so 5x2=10

The cost of a hamburger is $1.15 more than an order of large fries bill bought two hamburger ms and an order of large fries for a total of $8.60 what is the price of each item

Answers

Answer:

The cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].

Step-by-step explanation:

Let the cost of an order of large fries be [tex]\$ x[/tex].

Then, the cost of a hamburger is [tex]\$ x+\$1.15[/tex].

Bill bought two hamburgers and an order of large fries for a total of [tex]\$ 8.60[/tex].

So, [tex]2(x+1.15)+x=8.60[/tex]

[tex]\Rightarrow 2x+2.30+x=8.60[/tex]

[tex]\Rightarrow 3x=8.60-2.30[/tex]

[tex]\Rightarrow 3x=6.30[/tex]

[tex]\Rightarrow x=\frac{6.30}{3}[/tex]

[tex]\Rightarrow x=2.10[/tex]

So, the cost of an order of large fries is [tex]\$ 2.10[/tex].

And, the cost of a hamburger is [tex]\$2.10+\$1.15=\$3.25[/tex].

Hence, the cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].

5,423,000 divided by 100,000 ( Please help ASAP)

Answers

the answer for this question is 54.23

Answer:

54.23

Step-by-step explanation:

i just divided in calculator

Need help on this please and thank you

Answers

Answer:

(1,9)

Step-by-step explanation:

1,9





xxxxxxx that is the answer^^^^^

Simplify the numerical expression (15 - 3) x 2 + 10

Answers

Answer:

34

Step-by-step explanation:

Using PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction), we solve what's in the parentheses first, so the expression looks like: 12 x 2 +10.

Then since there aren't any exponents, we solve the multiplication problem in the expression: 24 + 10.

Which just leaves addition, which gives us our answer: 34

Hope this helps!


Work out the percentage change when a price of £400 is decreased to £225

Answers

Answer:

1.77%.

Step-by-step explanation:

The answer is 1.77%.

HOPE THIS IS CORRECT AND HELPS YOU!!!

Answer:

1.75%

Step-by-step explanation:

1.75%is correct answer

Lucy has a variety of socks in her laundry basket. Without looking, she selects one sock, then
a second.
Are these two events dependent or independent?

Answers

Answer:

This is dependent because it depends what sock she picked out first.  It would be independent if she put the pulled out sock back into the container

Can you help with both questions please :)

Answers

Answer:

X(4x+x^2)

Step-by-step explanation:

First the LCM is x

Now just distribute

Hi, please help me

c - 4d =

C= 10
D=2

It's algebra​

Answers

Answer:

All you do is replace the variable with the numbers given to replace them.

So your new equation is 10-4(2) this was given to you C=10 , D=2

Okay, let's solve it 10-4(2)

4*2 equals 8 so now it's 10-8

10-8

= 2


Rewrite the following sentence as an equation.
The product of three and the sum of a number and
two is zero.

Answers

Answer:

3(2+x)=0

Step-by-step explanation:

Here are some vocab words:

Product: Multiplication

Sum: Addition

"A number": x

3(2+x)=0

ASAp question in pic

Answers

Answer:

B and E

Step-by-step explanation:

They have different slopes so of course they will have to intersect at least 1 time. And if they were curved, it would be more than 1. But these are lines so it would be just 1 intersection. So B is one of the answers.

The solutions of the system are x = 0 and y = 2

I hope this helped, please mark me brainliest!

Step-by-step explanation:

y = 2x + 2 and y = 6x + 2

=> 2x + 2 = 6x + 2

=> 2x = 6x

=> 4x = 0, x = 0.

Therefore y = 2(0) + 2 = 2.

The point of intersection is (0, 2).

Hence there is exactly 1 point of intersection and exactly 1 real solution. (B and E)

Can someone tell me what the answer is and how u solve it?

Answers

What is the question I’m not sure if its just me but I can’t see it? If you can put the question in the comments i’m willing to help :)!

Answer:

y-6=-2(x-6)

y-6=-2x+12

y= -2x+6

6 is the line crossing on the y axis (B from y=mx+b)

and -2/1 is slope so 2 below and 1 right HOPE THIS HELPED

Step-by-step explanation: (IDC ABOUT THE THINGY HERE :D)

What is the value of |a-b|?​

Answers

Answer:

|3+2|=5

Step-by-step explanation:

2x+1=5

2x+=-5

x=2

x=-3

a= -3, b=2

Convert 0.263 repeating (the 63 are repeating) into a fraction.

Answers

Answer:

[tex]\frac{29}{110}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 63 placed after the decimal point

let x = 0.2636363.... ( multiply both sides by 10 and 1000 )

10x = 2.6363... → (1)

1000x = 263.6363.... → (2)

Subtracting (1) from (2) eliminates the repeating value, that is

990x = 261 ( divide both sides by 990 )

x = [tex]\frac{261}{990}[/tex] = [tex]\frac{29}{110}[/tex] ← in simplest form

The number n = 0.263 as a fraction is A = 263/999

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the number be represented as n = 0.263

Now , the Let x = 0.263636363 repeating

Multiply both sides by 1000 to move the decimal point to the right:

1000x = 263.636363 repeating

Subtract x from both sides:

999x = 263

Divide both sides by 999:

x = 263/999

Hence , 0.263636363 repeating is equivalent to the fraction 263/999

To learn more about fractions click :

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A museum recorded that it had 988 visitors in 4 hours. What is the unit rate in visitors per hour?
A.). 222
B.) 247
C.). 249
D.). 262

Answers

It could b a or c depend on what grade you are in
The answer is B, if you put it as a fraction, how do you get from 4 to 1? Divided by 4 right? So if you divide 988 by 4, you will get 247 visitors per hour :)

A school purchases a used van that costs $10,000. The value, V(t), in dollars, of the van t years since its purchase is modeled by the exponential function V(t)=10,000(0.8)^t . Select ALL statements that are true regarding the value of the van. a.The value of the van decreases by 20% each year since its purchase. b.The value of the van decreases by 80% each year since its purchase. c.The value of the van decreases by $2,000 each year since its purchase. d.Each year since its purchase, the value of the van is 80% of the value of the previous year. e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.

Answers

Answer:

a.The value of the van decreases by 20% each year since its purchase.

b.The value of the van decreases by 80% each year since its purchase.

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Step-by-step explanation:

From the above question, we are given the Exponential function

V(t)=10,000(0.8)^t

Verifying the given options:

a.The value of the van decreases by 20% each year since its purchase.

Option a is correct , this is because, the Exponential function above is and Exponential Decrease.

The formula is given as:

V(t) = 10000(1 - r) ^t

Where r = Decreasing rate

Comparing

= 1 - r = 0.8

= 1 - 0.8 = r

r = 0.2

Converting to percentage

= 0.2 × 100 = 20%

Option a is correct

b.The value of the van decreases by 80% each year since its purchase.

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option b is correct

c.The value of the van decreases by $2,000 each year since its purchase.

Option C is incorrect

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Option d is correct because

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option d is correct

e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.

Option e is incorrect

From the options given in the question, the correct statements are,

Options a, b, and d.

Simplify the Expression

Answers

Answer:

[tex]125a^{3}b^{2}[/tex]

Step-by-step explanation:

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