In 2012, the population of a city was 5.43 million. The exponential growth rate was 1.39% per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 9 million?
d) Find the doubling time
a) The exponential growth function is P(t) = where t is in terms of the number of years since 2012 and P(t) is the population in millions.
(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)

Answer:

Scale Factor 3/4

Step-by-step explanation:

i just did it and got it right

Answer:

1,5 answer of 1 St questions

1,2,5,7,9,12 answer 2nd questions

Step-by-step explanation:

1.A ∩ B

A { 1, 2, 5, 7 } and B = { 1, 5, 9, 12 }.

                They have both five and one so the answer is

A ∩ B= {1,5}

2. A ∪ B

           You only need to list everything(but no repetition) so the answer is

{ 1, 2, 5, 7, 9, 12 }

Answer:

(1+8)

Step-by-step explanation:

(+8)

9514 1404 393

Answer:

Step-by-step explanation:

For price p, the quantity q of units sold is said to be ...

  q = 3000 +10(80-p)/0.10 . . . . for price in dollars

Then the revenue will be ...

  r(p) = p·q = p(3000 +100(80-p)) = 100p(110 -p)

The cost is said to be ...

  c(q) = 250 +4.20q

  c(p) = 250 +4.20(100(110 -p)) = 250 +420(110 -p)

Then the profit function is ...

  P(p) = r(p) -c(p)

  P(p) = 100p(110 -p) -(250 +420(110 -p)) = (110 -p)(100p -420) -250

__

Ignoring the vertical offset of -250, the quadratic has zeros at 110 and 4.2. So, its line of symmetry (and vertex) will be found at ...

  p = (110 +4.2)/2 = 57.1 . . . . dollars per unit

The quantity that should be produced at that price is ...

  q(57.1) = 100(110 -57.1) = 5290 . . . . units produced

The profit at that price is ...

  P(57.1) = (110 -57.1)(100·57.1 -420) -250 = 52.9(5290) -250

  = $279,591 . . . . best profit

_____

Additional comment

After you have seen a few of these, you can write down the revenue function based on the rate of change of units sold.

If p is the price of a unit, then 80-p is the number of dollars of decrease in price for a price of p. Then (80 -p)/0.10 is the number of 10¢ decreases in price. The increase in units sold is 10 times this, or 10(80 -p)/0.10 = 100(80 -p). When that is added to 3000 units sold, the total is ...

  3000 +100(80 -p) = 3000 +8000 -100p

  = 11000 -100p = 100(110 -p) . . . . . quantity sold at price p

Revenue is the product of price times the number of units sold at that price.

Profit is the difference between revenue and cost.

9514 1404 393

Answer:

Step-by-step explanation:

It can be helpful to memorize a few of the Pythagorean triples that show up in Algebra problems. Their multiples also form right triangles.

  (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

The triple (6, 8, 10) is the first one of these, multiplied by 2 inches.

The only triple that is a sequence of consecutive integers is (3, 4, 5), so you know immediately that (4, 5, 6) does not form a right triangle.

Of course, you can check any of them to see if the squares of the smaller two numbers total the square of the larger number:

  4² +5² = 16 +25 = 41 ≠ 6² . . . . . (4, 5, 6) is not a right triangle

Answer:

Yes, it is a solution because inserting 8 into the equation gives you 13.

Step-by-step explanation:

1/2(8) + 9 = 13

4 + 9 = 13

13 = 13

Answer:

first subtract the 2 cancelling out on the left side, making the -3 a -5, then add y cancelling out the left side, making the right side -5+y, than your equation is 5x=-5+y, dividing the 5 off makes x=-5+y/5. :)

Answer:

  11.0% increase

Step-by-step explanation:

The percentage change can be found from ...

  ((new value)/(old value) -1) × 100%

  = (151.8/136.75 -1) × 100%

  ≈ (1.1100548 -1) × 100%

  ≈ 11.0% . . . . . increase

Answer:

1. 3/2

2. 1

3. -5/3

4. 5/4

5. -5/9

6. 4/5

7. 8/5

8. 1/4

9. 1/2

10. 2/3

11. 0

12. -1/3

13. 1

14. -1

Step-by-step explanation:

Answer:

C, -12

Step-by-step explanation:

If y = mx + b

then m = 4

and b = -12

b is the y-intercept

this can be plotted on a graph as {0, -12}

Hope this helps

Answer:

$243.45

Step-by-step explanation:

300 * 0.15 = 45

300 - 45 = $225

$225 is the discounted price

225 * 0.082 = 18.45

225 + 18.45 = $243.45

You would pay $243.45 for the item.

Answer:

A. 2

Step-by-step explanation:

Our y-axis is equivalent to f(x), so we can use it to find the value of x when f(x) = 4. If we look at the graph, we can find that an f(x) value of 4 (or, a y-value of 4) has an x-value of 2.

We could also figure this out by making f(x) equal to 4 in the equation:

[tex]4=2^{x}[/tex]

2 times itself how many times is equal to 4? Well, 2 times 2 is equal to 4, so 2 times itself two times is equal to 4. x is equal to 2:

[tex]4=2^{2}[/tex]

Either way works. If you have any more questions, let me know! :)

Step-by-step explanation:

First we recall the relevant definitions and properties:

An even integer is an integer that is a multiple of 2, that is, an integer that can be written as 2k2k where kk is also an integer.

An abelian group is a set with an operation that is closed in that set, is associative, has an identity element, has inverses, and is commutative.

Addition is already associative and commutative over the set of all integers, and has an identity 00 and an inverse −n−n for each integer nn.

Oh, and multiplication of integers distributes over addition (this is important because we’re dealing with multiples of 2 but also with addition. The distributive property is how multiplication relates to addition).

This means we have to show a few things:

Addition is closed over the even integers. This holds due to the distributive property: if you have even integers 2k2k and 2m2m, then 2k+2m=2(k+m)2k+2m=2(k+m) is also an even integer. The odd integers fail this property: for example, 11 is odd but 1+1=21+1=2, which is not odd.

Addition is associative over the even integers. This holds because addition is already associative over the set of all integers: 2k+(2m+2j)=(2k+2m)+2j2k+(2m+2j)=(2k+2m)+2j. The odd integers do satisfy associativity, since they’re also a subset of the integers.

Addition has an identity element over the even integers. Since we already know that 00 is an identity for the set of all integers and 00 is even, this shows that we have an identity for the even integers: 2k+0=2k2k+0=2k. This doesn’t hold for the set of odd integers, because if nn and kk are odd integers and n+k=nn+k=n then k=0k=0, a contradiction since 00 is not odd.

Addition has inverses over the even integers. We already know that integers have inverses, and if 2k2k is an even integer then −k−k is the inverse of kk, so that 2k+2(−k)=2(k+(−k))=2(0)=02k+2(−k)=2(k+(−k))=2(0)=0. This means the even integer 2(−k)2(−k) is the inverse of 2k2k. The odd numbers do satisfy this property, since they’re also a subset of the integers.

Addition is commutative over the even integers. This holds because addition is already commutative over the set of all integers: 2k

Answer:

25 4 12334

Step-by-step explanation:

Sper ca te-am ajutat okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

x = 2 and y = -2

Step-by-step explanation:

a) 5x-4y = 18

b) x+3y = -4

b) x = -3y - 4

a) 5 (-3y - 4) - 4y = 18 (substitution)

a) - 15y - 20 - 4y = 18

a) -19y = 18 + 20

a) y = 38/-19

y = -2

b) x + 3(-2) = -4

b) x - 6 = -4

x = 6-4 = 2

[tex]2x + 5 = - x + ( - 1)[/tex]

[tex]2x + 5 = - x - 1[/tex]

Add both sides x

[tex]2x + 5 + x = - x - 1 + x[/tex]

[tex]3x + 5 = - 1[/tex]

Subtract both sides 5

[tex]3x + 5 - 5 = - 1 - 5[/tex]

[tex]3x = - 6[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{ - 6}{3} \\ [/tex]

[tex]x = - 2[/tex]

______________________________

As u can see the first step is to :

Add one positive x-tile to both sides

Answer:

Add one positive x-tile to both sides

Step-by-step explanation:

edge

Answer:

125

Step-by-step explanation:

100 × 125% =

100 × 1.25 =

125

Answer:

125 would be 125 precent of 100

1/10, since there's 2 winning possibilities out of 20 altogether.

hi me ////// ///////////

Answer:

1. Use variables to represent length and width.

width = w

length = w + 5

2. Set up an equation for the perimeter of the rectangle.

perimeter = 2L + 2W

2(w + 5) + 2(w) = 46

2w + 10 + 2w = 46

4w + 10 = 46

4w = 36

w = 9

3. Find the length and width of the rectangle.

width = w = 9 inches

length = w + 5 = 14 inches

Answer:

Width is 9 inches

Length is 14 inches

Step-by-step explanation:

width = w

length = w + 5

perimeter = 2L + 2W

2(w + 5) + 2(w) = 46

2w + 10 + 2w = 46

4w + 10 = 46

4w = 36

w = 9

Width = w = 9 inches

Length = w + 5 = 14 inches

Therefore the width is equal to 9 inches and the length is 14 inches.

Answer:

Pounds

Step-by-step explanation:

Grams is used for smaller objects, and liters is used for a liquid, centimeters, is used to measure distance, and same with yards,feet,kilometers, meters. the correct answer is pounds.

Ron weighs the books so he uses to pound unit to measure the weight of the books.

The group of units used to quantify different physical quantities is collectively known as the units of measurement. Since ancient times, we have measured these things using many units, including length, mass, volume, current, and temperature. Since then, these units of measurement have changed, and we now use new, more practical and user-friendly systems of measurement.

Centimetres are used to measure distance, same as yards, feet, kilometres, and metres are used to measure larger objects, liquids are measured in litres, and tiny objects are measured in grammes.

Since Ron weighs the books so he uses to pound unit to measure the weight of the books.

Therefore, the correct answer would be pound.

Hence, he weighs the books so he uses to pound unit to measure the weight of the books.

Learn more about the units of measurement here:

https://brainly.com/question/15402847

#SPJ2

Answer:

Step-by-step explanation:

# Store uploaded files on the local file system in a temporary directory.

config.active_storage.service = :test

The website

Answer:

-9/10

Step-by-step explanation:

Yw, me!

Answer:

All real numbers less than or equal to 4.

f(x) ≤ 4

Interval notation:  (-∞, 4]

Step-by-step explanation:

Given the quadratic function, f(x) = -(x + 5)(x + 1), where the vertex occurs at point, (-3, 4):

Since the graph of the parabola opens down, then it means that the vertex  is its maximum point. In reference to the vertical points on the graph (i.e., the range values), then the vertex sets the maximum range value of k = 4. This implies that the maximum possible range value is from negative infinity to positive 4.

Therefore, the range of the function is: all real numbers less than to or equal to 4.

f(x) ≤ 4

Interval notation: (- ∞, 4]

Answer:

its A on edge

Step-by-step explanation:

Just took the test

Answer:

Step-by-step explanation:

2 quintals = 200 kg       Rs  17.000

transport 200(15)          Rs    3.000   +

Total investment         Rs   20.000

sales  (200 - 10)(120)     Rs 22.800

profit 22.800 - 20.000   Rs 2.800

Answer:

b+a+09=097

Step-by-step explanation:

welcome

Answer:

1

Step-by-step explanation:

i think what they want us to do here is round to the nearest tenth. however, as we all know, any number lower than five you must round down and convert to zeros. so, since the prescription called for 1.04 tablets per day, we can round down and get just 1.

so, 1 is your answer.

Answer: I believe the answer would be C, or 1

Step-by-step explanation: If he is supposed to take 1.04 tablets per day, the closest to that would be one tablet, because you can't really cut of 4% of a pill.

Step-by-step explanation:

The volume [tex]V_s[/tex] of a sphere of radius R is is given by

[tex]V_s = \frac{4\pi}{3}R^3[/tex]

so a hemisphere will only have half the volume of a sphere so we can write its volume [tex]V_h[/tex] as

[tex]V_h = \frac{1}{2}V_s = \frac{2\pi}{3}R^3[/tex]

Since the diameter D is twice the radius R, we can rewrite [tex]V_h[/tex] in terms of D as

[tex]V_h = \frac{2\pi}{3}\left(\frac{1}{2}D\right)^3 = \frac{\pi}{12}D^3[/tex]

[tex]\:\:\:\:\:\:\:=\frac{\pi}{12}(12\:\text{cm})^3 = 452.4\:\text{cm}^3[/tex]

Now represents the amount of water inside the hemisphere, which will be then transferred to a cylinder 8 cm in diameter. The volume of this cylindrical can [tex]V_c[/tex] must equal the volume of the hemisphere:

[tex]V_h = V_c = \pi R^2h = \pi\left(\frac{1}{2}D\right)^2h[/tex]

[tex]\:\:\:\:\:\:\:=\frac{\pi}{4}D^2h[/tex]

where h is the height (or depth) of the can. Solving for h, we get

[tex]h = \dfrac{4V_h}{\pi D^2} = \dfrac{4(452.4\:\text{cm}^3)}{\pi(8\:\text{cm})^2}[/tex]

[tex]\:\:\:\:\:= 9\:\text{cm}[/tex]