suppose+the+population+of+a+small+town+is+16000+and+growing+exponentially+at+2.2+%.+how+many+years+until+the+population+reaches+25000?

Answers

Answer 1

Answer:

  20.5 years

Step-by-step explanation:

The population is given by the exponential function ...

  p = 16000·(1 +0.022)^t

When p = 25000, we can find the value of t by taking logarithms.

  log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log

  t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t

It will take about 20.5 years for the population to reach 25000.


Related Questions

Jake is 1.25 meters tall. At 11a.m he measures the length of a trees shadow to be 16.45 meters. He stands 11.5 meters away from the tree, so that the tip of his shadow meets the tip of the tree’s shadow. Find the height of the tree to the nearest hundredth of a meter

Answers

Answer:

1.25 yeah girlyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy i ttook the test

Step-by-step explanation:

Thank you will give thanks + more + brainliest!!!!


Given the system of linear equations:

{x+6y=6 y= 1/3 x−2


Part A: Graph the system of linear equations.

Part B: Use the graph created in Part A to determine the solution to the system.

Part C: Algebraically verify the solution from a Part B

Answers

Answer:

You must graph this on a graphing site

Step-by-step explanation:

Use one from enternet and type in the equation!!

A large university accepts 60% of the students who apply. Of the students the university accepts, 45% actually enroll. If 30,000 students apply, how many actually enroll?

________ students would actually enroll. (Type a whole number)

Answers

Answer:

4,500 hope this help

Step-by-step explanation:

I think it would be 13500 students that enroll since 45% actually enrolled meaning if you set up 45/100 and x/30,000 you’d get an answer of 13500

there is 60 girls and 90 boys in the 7th grade at sycamore middle school of theses students 14 boys and 10 girls write left handed what percentage of the 7th graders at sycamore middle school write left handed

Answers

Answer:

16%

Step-by-step explanation:

60+90=150 total students

14+10=24 left handed students

24/150= 0.16 or 16% of the population being left handed

greg drove 300 miles at a constant speed for 5 hours. the speed limit is 70 miles per hour. was his rate grater than the speed limit?

Answers

Answer:

No.

Step-by-step explanation:

To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:

300 / 5 = 60.

60 miles represents the speed for 1 hour.

60<70.

The inequality indicates that his rate (60 miles per hour) is less than the speed limit.

Find m angle O Y X in the diagram above.
URGENT!!

Answers

Answer:

• Angle OYW or Angle WYO is 90°

• Angle OYX or Angle XYO is 90°

• Angle WYX is 180° [ A straight line ]

Step-by-step explanation:

Line WYX is a perpendicular bisector of radius lind of the circle.

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what is the equation of the line with slope -7 which goes through the point (2,5)

Answers

Answer:

y=-7x+19

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-7(x-2)

y=-7x+14+5

y=-7x+19

The equation of the line with slope - 7 which goes through the point (2, 5) is

y = - 7x - 19.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through points (2, 5) with a slope of - 7.

∴ 5 = -7(2) + b in slope-intercept form.

5 = - 14 + b.

b = - 19.

y = - 7x - 19.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ5

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Answers

Answer:

What's this question? Oh my gosh!

please help with hegarty algebraic fractions and quadratic equations

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf \dfrac{3}{x} - \dfrac{3}{x + 4} = 1[/tex]

[tex] \sf \dfrac{3(x + 4) -3x }{x(x + 4)} = 1[/tex]

[tex] \sf \dfrac{3x + 12-3x }{x(x + 4)} = 1[/tex]

[tex] \sf 12 = {x(x + 4)} [/tex]

[tex] \sf {x}^{2} + 4x = 12[/tex]

[tex] \sf{ {x}^{2} + 4x - 12 = 0 }[/tex]

[tex] \sf{ {x}^{2} + 6x - 2x - 12 = 0}[/tex]

[tex] \sf{x(x + 6) - 2(x + 6) = 0}[/tex]

[tex] \sf(x - 2)(x + 6) = 0[/tex]

Hence,

[tex] \sf x = 2 \: \: or \: \: x = - 6[/tex]

Is
(
x
+
1
)
a factor of the function
f
(
x
)
=
7
x
4

5
x
3

10
x
2
+
2
x
, and why?

Answers

Answer:

It is the first answer choice.

Step-by-step explanation.

Use synthetic division and there is no remainder, so -1 is a factor

15+25 distributive property

Answers

Answer:

(5 x 3) + (5 x 5)

Step-by-step explanation:

hope thats what your looking for

60.98 x 62xv Whats v

Answers

V=13 because you minus 60.98 by 62

NEED HELP ASAP PLZ HELP

Answers

Answer:

y=0.68x + 0.22

Step-by-step explanation:

HOPE THIS HELPS :)

The area of the triangle below is 5.52 square feet.
What is the length of the base?

Answers

Answer:

  4.6 ft

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Fill in the given values and solve for the base.

  5.52 = 1/2b(2.4)

  5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b

The base is 4.6 feet.

What is 1/2 of 14? this is an algebraic expression!!

Answers

1/2 of 14 is 7. multiply 14/1 to 1/2.

- The price of an item increases from $90 to $100. Find the increase per cent.​

Answers

Answer:

The increase as a percentage was 11.1%.

Step-by-step explanation:

The increase is $10.  The ratio of this increase to the original $90 is

$10

------- = 1/9

$90

Multiplying this by 100%, we get 11.1%.

The increase as a percentage was 11.1%.

Vasudevan invested rupees 60000 at an interest rate of 12% per annum compounded half yearly what amount would he get after 6 months?​

Answers

Answer:

Fv = Pv(1 + i/m ) n×m

=60 000(1 + 0.12/2) 1×2

=60 000(1.06) ²

=60 000×1.1236

=67 416

Solve the formula for the specified variable.

V=AQT for A

Answers

Answer:

[tex]A = \frac{V}{QT}[/tex]

Step-by-step explanation:

To solve the problem you want to have A on one side, everything else on the other side. You can move over the variables by divind them from each side as shown:

[tex]AQT = V[/tex]

[tex]AQT = \frac{V}{1}[/tex]

[tex]AQ = \frac{V}{T}[/tex]

[tex]A = \frac{V}{QT}[/tex]

which equation generates the value in the table

Answers

Answer:

A

Step-by-step explanation:

2. Daniel orders sushi from the sushi restaurant. The total bill is $80. He tips the sushi chef 20%.
How much money does the sushi chef get?

Answers

Answer:

16

Step-by-step explanation:

(20/100) * 80=16

Answer:

16

Step-by-step explanation:

$20.43 is how much tip was

27% >>> .27

.27 * 75.68 = 20.43 tip

Bonus: $96.11

the bold word are tip but your answer is 16

mark me brinilylist

The distance between two cities on a map is 6cm. If the scale one the map is 2 cm=50 miles, how many miles apart are the two cities

Answers

Answer is 150 miles

Work Shown:

2 cm : 50 miles

3*(2 cm) : 3*(50 miles)

6 cm : 150 miles

Last week, you finished Level 2 of a video game in 32 minutes. Today, you finish Level 2in 28 minutes. What is your percent of change

Answers

Answer:

12.5% decrease

Step-by-step explanation:

[(V2 - V1)  /  V1] x 100 = Percent Change

Aaron and Kevin are on the school golf team. Aaron buys 6 cheap golf balls and 4 expensive ones for $18.00. Kevin buys 4 cheap and 3 expensive balls for $13.00.

Answers

Cheap = £1.00 each
Expensive =£3.00 each

Matthew has a gift card for $50 to lulu beans he is charged $3.25 for each coffee that he buys write an equation to represent his total amount left a after c coffees are purchased how many coffees were purchased if he has $11 left on the card

Answers

Answer:

Amt(c) = $50 - ($3.25/coffee)c

c = 12

Step-by-step explanation:

An equation to represent his total amount left a after c coffees are purchased

would be  Amt(c) = $50 - ($3.25/coffee)c

and if he has $11 left, then $11 = $50 - ($3.25/coffee)c

or -$39 = -($3.25/coffee)c.

Dividing both sides by -$3.25, we get c = 12

2x+5(x+1) = -8;

Can someone help me solve this problem step by step please?

Answers

Answer:

-13/7

Step-by-step explanation:

2x+5(x+1)=-8

2x+5x+5=-8

7x+5=-8

7x=-8-5

7x=-13

7x/7=-13/7

x=-13/7

Answer:

x = -13/7

Step-by-step explanation:

2x+5(x+1) = -8

2x+5x+5 = -8

7x+5 = -8

7x = -8-5

7x = -13

x = -13/7

what is the probability​

Answers

5/6 at random, (not including yellow if included yellow the answer would be 1/5)
red = 2/6 which would equal 1/3
not yellow = 5/6

On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4). What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. X = y =.

Answers

The x and y coordinates of point C are -2.6 and 5.2, respectively

The coordinate of the points are given as:

[tex]A = (-4,8)[/tex]

[tex]B =(2,-4)[/tex]

The ratio is given as:

[tex]m :n = 3 : 10[/tex]

The point at the given ratio is calculated as:

[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]

So, we have:

[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]

Simplify

[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]

[tex]C = (-2.6,5.2)[/tex]

Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively

Read more about line ratios at:

https://brainly.com/question/11764811

Answer:

a

Step-by-step explanation:

Find the slope of the line that goes through (5,-8) and (-2,2)

Answers

Answer:

-1.42857

Step-by-step explanation:

Can someone please help me with this one? Tysm! ^^

Answers

2/3 x 3/4 =6/12=1/2
(Multiply numerators, multiply denominators, simplify)

The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.​

Answers

Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

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