At the beginning of a population study, city had 210,000 people. Each year since, the population has grown by 5.5%. Let t be the number of years since the start of the study. Let y  be the cities population. Write an exponential function showing the relationship between y and t. 

Y=

Answers

Answer 1

Answer:

y = 210,000(1.055)^t

Step-by-step explanation:

Initial population: p = 210,000

Annual growth rate: 5.5% = 0.055

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 210,000(1 + 0.055)^t

y = 210,000(1.055)^t


Related Questions

12x - 2/3 = 83 1/3

12x=?

x=?

Answers

Answer:

12x = 84

x = 7

Step-by-step explanation:

12x = 83 1/3 + 2/3

12x = 84

x = 84/12

x = 7

Hope that helps!

Write the equation of the line in slope-intercept form: y=mx+b
Given: Point (1,3) Slope: 2

Answers

Answer:

y=2x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-3=2(x-1)

y-3=2x-2

y=2x-2+3

y=2x+1

a- 6=9. Please help

Answers

Answer:

a = 15

Step-by-step explanation:

6 + 9 = 15

a = 15

15 - 6 = 9

yes

Answer:

a=15

Step-by-step explanation:

Move all terms not containing  a  to the right side of the equation.

15-6=9

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1?

Answers

Answer:

The average rate of change of the function is: 0

Step-by-step explanation:

The function y = f(x) is graphed below.

From the graph it is clear that:

at x = -8, the value of f(-8) = -10

at x = -1, the value of f(-1) = -10

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

so

at x₁ = -8, f(x₁) = f(-8) = -10

at x₂ = -1, f(x₂) = f(-1) = -10

Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                      = [f(-1) - f(-8) ] / [-1-(-8)]

                      = [-10 - (-10)] / [-1+8]

                      = [-10 + 10] / 7

                      = 0 / 7

                      = 0

Therefore, the average rate of change of the function is: 0

PLEASE HELP ME ?!?!?!

Answers

Answer:

19

Step-by-step explanation:

6x-10=3x+50
3x=60
x=20

hope this helps !

Select the possible dimensions of a rectangular prism with the volume of 72 m3.

2 m x 6 m x 7 m
3 m x 4 m x 6 m
3 m x 8 m x 4 m
9 m x 8 m x 1 m
12 m x 2 m x 3 m

Answers

Answer:

3m×4m×6m

9m×8m×1m

12m×2m×3m

Step-by-step explanation:

Just multiply the different values

What is the nth term rule of the quadratic sequence below?
8
,
14
,
22
,
32
,
44
,
58
,
74
,
.
.
.

Answers

8=92
,10=134
‘9=i don’t know about this one

solve this plz????? thx

Answers

Answer:

AOD i think

Step-by-step explanation:

Answer:

angle aob

Step-by-step explanation:

Lina works at shake shack which pays $9.25 an hour and the state takes 15% out of her salary for income taxes. She works 15 hours a week after school and on weekends for 5 weeks. How much is her paycheck a month?

Answers

Answer:

Lina should make $471.75 a month.

Step-by-step explanation:

If Lina makes $9.25 an hour and she works for 15 hours a week then you multiply those two numbers together. The resulting number is $555. Then you'll multiply that by .15 to find 15% of that number which is 83.25. After, you'll subtract that from $555, which gives you $471.75.

Select the solution(s) to the following equation: (3x−2)(x+5)=0 SELECT ALL THAT APPLY
x=3/2
x=5
x=-5
x=2/3
x=-2/3
x=-3/2

Answers

Answer:

Step-by-step explanation:

Check by direct substitution.  If we begin by checking x = 3/2, we substitute 3/2 for x in (3x - 2)(x + 5), obtaining (9/2 - 2)(3/2 + 5), which is NOT zero.  Therefore x = 3/2 is not a solution.

(3*5−2)(5+5)=0  False.  x = 5 is not a solution.

(3*[-5]−2)([-5+5)=0  True.  x = -5 is a solution

x = 2/3:  (3*2/3 - 2)( ) = 0.  True  x = 2/3 is a solution

x = -2/3:  ( )( ) = -17 1/3;  so x = -2/3 is not a solution

x = -3/2:  ( ) ( ) = -22 3/4; so x = -3/2 is not a soution

need help asap plsss

Answers

Answer:

x = 29°

y = 29°

z = 102°

Step-by-step explanation:

x and y both look even to the 29° angle across from them and z looks even to the 102° angle across from it.

Solve: x - 9.5 = -10.5

Answers

X= -10.5+9.5
X=1
I hope that helped:)

Answer:

x = -1

Step-by-step explanation:

x - 9.5 = -10.5

x = -10.5 + 9.5

x = -1

explain what the Diameter is and how is the radius related to it.

What can the radius and Diameter help us find?

Answers

Answer:

The diameter is any straight line that passes through the center of the circle, which endpoints can lie on. The radius is half the diameter. They help us find the circumference of a circle

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle. It is related to the radius because whatever the diameter is is double what the radius is.  In differential geometry, the diameter is an important global Riemannian invariant.

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

uh

Step-by-step explanation:

Answer:

wtffffffffffffffffffff

solve for u 5u + 9 - 4u = 17 (also don't have the answer be a fraction)

Answers

Answer:

=8

Step-by-step explanation:

Answer:

u=8

hope this helps

Step-by-step explanation:

how can I solve this problem ​

Answers

Answer:

50

Step-by-step explanation:

the angle that they want you to find is complementary to the angle that equals 40. Complementary means they will add up to equal 90. 90-40=50 so ADB = 50

whats 23,982 rounded to the nearest thousand


I need help

Answers

Answer:

24000

Step-by-step explanation:

I NEED HELP ASAP!!!!!!!

Answers

Answer:

9/25 = 36%

Step-by-step explanation:

First add up all of the students (150)

Then divide 54 by 150, 0.36

0.36 = 36% = 9/25

What is an equation of the line that passes through the points (-3,-1) and (6, 2)?
Put your answer in fully reduced form.

Answers

Answer:

1/3

Step-by-step explanation:

(2-(-1))/(6-(-3)) = 3/9 = 1/3

Answer:

y=1/3x

Step-by-step explanation:

Find the slope:  2-(-1)

                          6-(-3)

slope = 1/3

Point Slope Form: y-2= 1/3 (x-6)  plug one of the coordinates into the equation

                              y-2= 1/3x -2

                                  y=1/3x

Forty students went on a trip on Wednesday. On Thursday, 15% less students went on a similar trip. How many students went on the trip on Thursday?

Answers

Answer:

34

Step-by-step explanation:

40 * .15= 6

40-6 = 34

okkk so you do 40 * .15 because you just put a decimal point before all percentages to convert it into number

40*.15= 6

then subtract 6 to the original amount

40-6=34

34 students went on the trip on thursday cause 6 students got killed by bears in the last trip.

What is the exact area of a circle having diameter 3 in.?

Answers

Answer:

2.25π square inches

Step-by-step explanation:

Area = π[tex]r^{2}[/tex]

Diameter = 2r

So in this case, radius = 1.5 inches

Plugging that into the area formula produces the answer

What is the distance between the points (4, 5) and (-3, 5)

Answers

Answer:

Seven

Step-by-step explanation:

the difference between 4 and -3 is seven.

I believe the distance should be 7

A boat is traveling a distance of 90 km at a speed of 30 km/s, how long will it take to reach its destination?
PLEASE SHOW WORK!

Answers

Answer:

3 sec

Step-by-step explanation:

30 km/s is 30 kilometers per second. There are 90 km. #0 km is 1/3 of 90 km.

Please mark me the brainliest, 5 stars, and a thank you! Have a GREAT day!

Write the equation of a line that is parallel to y= -7x+5 and passes through the point (0,6)

Answers

Answer:

The answer is y = - 7x + 6

Step-by-step explanation:

A parallel line will have the same slope and since the point that is given is a y intercept, you just plug in -7x + 6 to get your parallel equation

PLEASE ANSWER QUICKLY! THIS IS FOR A STUFY GUIDE DUE IN 5 MINUTES!!!!!
6CO2 + 6H2O ———» C6H12O6 + 6O2

Is the equation above balanced or unbalanced? ___________

a- need to add coefficients
b- I don't know
c- Unbalanced
d- Balanced

Answers

Answer:

It's Balanced

Step-by-step explanation:

A simple word equation that can be used to describe the process of photosynthesis is carbon dioxide + water —> glucose + oxygen + water.  So it's a balanced chemical equation for the process can be written as 6CO2 + 6H2O —> C6H12O6 + 6O2

Hope this helps!

Helpeoepeoeoeo show work

Answers

IMPORTANT THIGNS TO REMEMBER:

Has 20 lb. dog food!Gives dog 1 3/5 everyday!Find how much eaten after 2 days!Find how much is left!

ANSWER:

Dog has eaten 3 1/5 after 2 days!

There is 16 4/5 left in bag!

EXPLANATION:

Since she gives 1 3/5 to her dog everyday and their asking for 2 days you would multiply 1 3/5 × 2 OR add 1 3/5 + 1 3/5

Which would give you 3 1/5

So, the dog has eaten 3 1/5 lb. of dog food in 2 days.

However then, you would subtract 20 lb. - 3 1/5 lb. because there is 20 lb. dog food in all and the dog has eaten 3 1/5 of it. This would give you 16 4/5 lb.

Meaning there is 16 4/5 lb. left in the bag of dog food!

The ordered pairs bin the table below represent a linear function whst of the slope of the function

Answers

I don’t even know maneeeeeee

x+3y=10 what is the slope of the line

Answers

Answer:

-1/3 is the slope of the line

Step-by-step explanation:

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept.

Subtract x from both sides of the equation.

x - x + 3y = 10 - x

3y = 10 - x

Divide each term by 3.

[tex]\frac{3y}3y} = \frac{10}{3} + \frac{-x}{3}[/tex]

[tex]y = \frac{-x}{3} + \frac{10}{3}[/tex]

Rewrite in slope intercept form.

[tex]y = -\frac{1}{3}x + \frac{10}{3}[/tex]

Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?
(One step equation!!!!!!!!!!!!!!!) please need help

Answers

Answer:

$43-$27=$16

Step-by-step explanation:

Answer:

he received 16 dollars bc if he had 27 and now he has 43 just count from 27 to 43

Step-by-step explanation:

104.65/ 35
pls help and can u show me a example

Answers

Answer:

2.99 or 3

Step-by-step explanation:

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