The population of Austin, Texas, was about 494,000 at the beginning of a decade. The population increased by 3% each year. Write an exponential growth model that represents the population y (in thousands) t years after the beginning of the decade. Find and interpret the y-value when t = 10.

Answers

Answer 1

Answer:

y(t) = 494 (1.03)^t

y(10) = 663,89

Step-by-step explanation:

An increase in population by 3% each year means that at the end of each year, the population is 1.03 times what it was at the start of the year

This increase in population continues for t years

Exponential growth model that represents the population y (in thousands) t years after the beginning of the decade is

y(t) = 494 (1.03)^t

Where,

y = population

t = number of years

Find y when t = 10

y(t) = 494 (1.03)^t

y(10) = 494 (1.03)^10

= 494 ( 1.3439)

= 663.8866

Approximately y(10) = 663.89

This means that after 10 years from when the population was 494,000, it increased to 663,89.


Related Questions

One bus averages 58 mi/h, and the other bus averages 54 mi/h. When will they be 365 miles apart?

Answers

Answer:

T=3.3 HOURS AFTER THEY LEAVE THEY WILL BE 363 MILES APART

Step-by-step explanation:

internet

3. A recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
How many deci-grams will there be in 60 cookies?

Answers

Answer:

250 i thoink

Step-by-step explanation:

For making 60 cookies the amount of butter will be 250 decigrams.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.

The amount of butter for 60 cookies in decigrams will be calculated as,

12 cookies = 5 grams

12 cookies = 50 dg

60 cookies = ( 50 x 60 ) /60

60 cookies = 250 dg

To know more about an expression follow

https://brainly.com/question/11311384

#SPJ2

this is equivalent? TRUE OR FALSE.​

Answers

Step-by-step explanation:

yes of course...

just like

saying 2=x is equivalent to x=2

similarly x<3 is equivalent to 3>x

determine which of the following relation is a function

Answers

I don’t see the math equation

Answer: IT is A and C

k/7 = 10 solve for k

Answers

Answer:

k=70

Step-by-step explanation:

to get k by itself you need to multiply k/7 by 7, and you multiply on both sides. 10 times 7 =70

Answer:

Step-by-step explanation:

k/7 = 10

or, k = 7*10

Therefore, k=70.

Find the midpoint of the line segment joining the two points.
(1.8, -3.4) and (-0.4, 1.4)

Answers

Answer:

(0.7, -1)

Step-by-step explanation:

To find the coordinates for the midpoint you add each coordinate together and divide by 2.

M = ([tex]\frac{1.8 - 0.4}{2}, \frac{-3.4 + 1.4}{2}[/tex])

M = [tex](\frac{1.4}{2}, \frac{-2}{2})[/tex]

M = (0.7, -1)

help me i need a lot of help thank you branly

Answers

Answer:its b) 19

4xl-7l-l-9l

=4x7-9

=28-9

=19

what is the irrational number between 2.8888... and 2.9999...?

Answers

Answer:

[tex]\sqrt{8.5}[/tex]

Step-by-step explanation:

[tex]\sqrt{8.5}=2.9154759474226502354370764387727915382606991674429859772250...[/tex]

that's clearly between 2.888888.... and 2.999999....

match eith the appropiate property:​

Answers

Answer:

Commutative property of multiplication.

Step-by-step explanation:

This property says that changing the order of factors doesn't change the product.

Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15

A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? (i dont get this one, please explain :)

Answers

Answer:

35 days

Step-by-step explanation:

A = 14 days

It means per day, work done by A= 1 / 14

A+B = 10 days

Work done by A and B per day = 1 / 10

In what time can B alone do the work?

To solve this, we have

A+B = A alone + B alone

1/10 = 1/14 + B alone

Subtract 1/14 from both sides

1/10 - 1/14 = 1/14 + B alone - 1/14

14-10/140 = B alone

4/140 = B alone

B alone= 1 / 35

Work done of B alone = 1/35

B alone will do the work in 35 days

Answer:

35 days.  

Step-by-step explanation:

A can do the work in 14 days: per day work done by A=1/14

A and B can do the work in 10 days: per day work done by A and B=1/10

Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.

So, B takes 35 days.

POSSIBLE POINTS: 10
Dean is making a phone call with a calling card. The calling card charges $3.00 for the first five minutes and 50.25 for each extra minute (or
part of a minute).
1. Find the cost of a 10 minute call on this phone
2. Find the cost of a 15.5 minute call on this phone

Answers

Step-by-step explanation:

I'm going to assume 50.25 was a typo error and it is $0.25 for each extra minute.

For a 10 minute phone call, the first 5 minutes cost $3 and the other 5 minutes cost $0.25 * 5 = $1.25. Altogether it costs $4.25.

For a 15.5 minute phone call, the first 5 minutes cost $3 and the other 10.5 minutes cost $0.25 * 11 = $2.75. Altogether it costs $5.75.

Answer:

1 = 100. 50 2 = 65 . 30

Step-by-step explanation:

just add extra minutes and mins to call okkk

Subtract 3x^2 + 8x from -9x^2 +3x -8

Answers

Answer:

[tex] \boxed{ \bold{ \huge {\boxed{ \sf{ - 12 {x}^{2} - 5x - 8}}}}}[/tex]

Step by step explanation

[tex] \sf{ - 9 {x}^{2} + 3x - 8 - (3 {x}^{2} + 8x)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} + 3x - 8 - 3 {x}^{2} - 8x}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} - 3 {x}^{2} + 3x - 8x - 8}}[/tex]

[tex] \dashrightarrow{ \sf{ - 12 {x}^{2} - 5x - 8}}[/tex]

Hope I helped!

Best regards!

Could someone please help me with 1 and 2 please

Answers

Answer:

1. 1,2 2,3 ,3,4, 4,5, 5,6              

2.-2,1  -1,-1 0,-2  1,-1 2,1

Step-by-step explanation:

PLEASEEE HELP MEEE!❤️

Answers

The answer is f(x)= √ 9-x^2 (option number three). I hope this helps :)

Antointette puts the letters of her name inside a bag and picks one letter at random what is the probability that Antoinette picks a vowel​

Answers

Answer:

5/11 or 0.4545

Step-by-step explanation:

I think this is correct you just count how , many letters she has in her name (that's gonna be our denominator) and then count how many of those are vowels (our numerator). to change it into a decimal you simply divide the top by the bottom.

Evaluate the expression for a = 3, b = 2, and c = 4. Write in simplest form.

Answers

Hello There!

Write out your equation:

Substitute the values in:

Simplify:

Solve:

It is 6.25.

Therefore, your answer is 6 1/4.

Hope This Helps You!

Good Luck :)

|wz| – |xy| when w = –4, x = 2, y = , and z = –6.

Answers

Answer:

Answer= 23

Step-by-step explanation:

The problem would look like this: |(-4)(-6)| - |(2)(1/2)|

if solved it should look like this: |24| - |1|

which is: 24 - 1 = 23

A T-shirt shop charges $15 for an adult shirt and $12 for a youth shirt. The total charge for a shirt order was $489.
Which equation can be used to represent x, the number of adult shirts sold and y, the number of youth shirts sold?
12x + 15y = 489
27x + 15y = 489
15x + 12y = 489
15x + 3y = 489

Answers

Answer: C. 15x + 12y = 489

Step-by-step explanation: Got it right on edge test

Answer:

C

Step-by-step explanation:

15x+12y=489

Solve the formula C = rd for d.
O A. de C
O
T
OB. d= C-1
O C. d=1
O D. d= TC

Answers

Answer:

C/R = D

Step-by-step explanation:

When you divide rd by r, then r is eliminated and divided into the C

Name the plane represented by the front of the box.
B
JE
F
K
ODBF
GBF
ОСАВ
BJC

Answers

Answer:

not sure

Step-by-step explanation:

not sure what you're trying to show?

Duval scored 10 more than 2 times the number of points scored by a
player, x. Which equation shows the number of points, y, Duval scored?

Answers

Answer:

2x + 10 = y

Step-by-step explanation:

The term 10 more is plus 10, and 2 times the "number" which we know we can label as "x". 2x + 10 is the equation and we are told that y is the number of points so 2x + 10 = y is the answer.

Hope that helps, and have a great day!

A family has a gross monthly income of $4395. Their monthly home mortgage payment is $1896. In general,
lenders follow the "28 percent rule", meaning no more than 28 percent of your gross income should go towards
your mortgage. Is this family within the recommended guidelines or are they spending too much for their home?
Explain your answer.

Answers

28% of $4395 would be closer to $1230 meaning that the family is indeed spending quite a bit more than the recommended amount on their home mortgage

Given: g(x) = 3x² + 2 and h(x) = 2x + 2
Find: g(h(x))

Answers

Step-by-step explanation:

g(x) = 3x² + 2

h(x) = 2x + 2

g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2

= 3[4x² + 8x + 4] + 2

= 12x² + 24x + 12 + 2

= 12x²+ 24x + 14

Simplify 3(x + 9) - (x - 6)

Answers

3x+27-x+6

2x+35

That’s your answer
Multiply
3x+27 (- x+6)
-3x^2+18x -27x+162
-3x^2-9x+168

Ms. G, Mr. Adams, and Ms. Leahman are going for a bike ride together on Saturday. They want to meet each other in the city but they all live in Bedstuy. Ms. G and Ms. Leahman have to bike 4 miles there, Mr. Adams is 5 miles away. They meet each other in the city and bike 2 miles together. Then they all return home the same way. How many miles did they all bike in total on Saturday?

Answers

Answer: 22 miles

Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:

4 miles to go to the city;

2 miles with Mr. Adams;

4 miles back to Bedstuy;

Then, both biked:

4 + 2 + 4 = 10 miles

Now, Mr. Adams bikes:

5 miles to go to the city;

2 miles together with the other two;

5 miles back to Bedstuy;

Then, he biked, in total:

5 + 2 + 5 = 12miles

So, the three of them biked, in total:

10 + 12 = 22

On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.

how to do this question plz ​

Answers

Answer:

The answer is yes.

Step-by-step explanation:

All you have to do is substitute the y, which is 5, and the x, which is 2, into the equation. When you solve it the answer in the end will be 5=5, which means that point (2,5) does line on that line.

The quotient of six and the sum of a number and eight

Answers

Answer:

6

——

x+8

Step-by-step explanation:

The quotient of six (6) and the sum of a number and eight (8) is equal to  [tex]\frac{x + 8}{6}[/tex]

Let the unknown number be x.

In Mathematics, quotient simply means to divide a number by another number without any remainder.

Translating the word problem into an algebraic expression, we have;

The sum of a number and eight = [tex]x + 8[/tex]

Quotient of six (6) and the sum of a number and eight (8) is equal to;

[tex]\frac{x + 8}{6}[/tex]

In conclusion, the quotient of six (6) and the sum of a number and eight (8) is equal to  [tex]\frac{x + 8}{6}[/tex]

Find more information: brainly.com/question/21449543

ONLY DO #10-29

13 points!! WILL MARK AS BRAINLIST

Answers

does #13 have a division sign?

Answer:

same as ramen said #13

hope you pass♡

Please explain the answer! Will give brainliest :)

Answers

We can see that the diagonal distance from the fire pit to the tree is 6 units, if you count, with a slope of 1, meaning that we only have to stay on that diagonal.

A third of 6 is 2, so we'll just go 2 units in that diagonal, putting us at the point [tex](4,3)[/tex].

Hope this helps.

頑張って!

3. (02.01)
Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)

a. 1
b.4
c.5
d.25

Answers

Answer:

A. 1

Step-by-step explanation:

3(x+1)=-2(x-1)+6

3x+3=2x-2+6

x+3=4

x=1

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