What is the value of a? Enter the answer in the box.

Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.

An increasing exponential function is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem:

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 16(1 + 0.02)^t[/tex]

[tex]A(t) = 16(1.02)^t[/tex]

It will be 30 million after t years, for which A(t) = 30, hence:

[tex]A(t) = 16(1.02)^t[/tex]

[tex]30 = 16(1.02)^t[/tex]

[tex](1.02)^t = \frac{30}{16}[/tex]

[tex](1.02)^t = 1.875[/tex]

[tex]\log{(1.02)^t} = \log{1.875}[/tex]

[tex]t\log{1.02} = \log{1.875}[/tex]

[tex]t = \frac{\log{1.875}}{\log{1.02}}[/tex]

[tex]t = 31.7[/tex]

It will take 31.7 years for the state's population to be of at least 30 million people.

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Answer:

No

Step-by-step explanation:

Some rhombus doesn’t have all 90 degrees angles and that is an requirement for rectangles.

Answer:

16 players can be brought to the tournament. The equation is written within my step-by-step explanation.

Step-by-step explanation:

Variable p = number of players

Set up an equation:

974.50 + 60.75p = 1946.50

Isolate variable p:

60.75p = 972

Divide:

p = 16

Check your work:

974.50 + 60.75(16) = 1946.50

974.50 + 972 = 1946.50

1946.50 = 1946.50

Answer:

Step-by-step explanation:

Answer:

x=13

Q=30

P=126

R=24

Step-by-step explanation:

To find x put them all into an equation like this:

(4x-22)+(10x-4)+(x+11)=180 (we get 180 because all three angles of any triangle always equal 180)

calculate and you'll get x=13.

then to find each angle just put 13 in place of x

4(13)-22=30

10(13)-4=126

(13)+11=24

Answer:

40

Step-by-step explanation:

Let the number be y

-1/2 × y = -20

y = -20 ÷ -1/2

y = 20 × 2

y = 40

Answer:

10x greater

Step-by-step explanation:

Two friends let’s say their names are

Molly                         Polly

130 points                  83 points

Molly‘s 3 in her 130 is is the tens place  

here a chart:     ones    Tens.        Hundreds.     thousands.  

                         1265      1265.         1265.              1265

now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater

hope this helped :3

:3 byeeeeeeeeee

Answer:

Step-by-step explanation:

To complete the 1st model you have to put 5 red chips

To complete the 2nd model you have to put 10 yellow chips

To complete the 3rd model you have to put 8 red chips

But to understand why we are putting a certain number of yellow or red chips

we have to understand the zero pairs method meaning one positive and one negative zero out each other

Answer:

sorry bro I don't understand your language

you take each other you do multiplication and you have answer

Answer:

a = 9.6 b = 11.2

Step-by-step explanation:

10 percent of 8 is .8

8 + (8 x .1) = 8.8

8.8 + .8 = 9.6

She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6

When you do 8+1.6 it equals 9.6

For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2

8+3.2 = 11.2

She will be paid 11.2 dollars after 2 full years of working.

Your answer isnt wrong, I dont know why your teacher is saying it is.

Answer:

{-11,17}

Step-by-step explanation:

|X – 3|= 14

There are  two solutions to an absolute value, one positive and one negative

x-3 = 14    and x-3 = -14

Add 3 to all sides

x-3+3 =14+3         x-3+3 = -14+3

x = 17                     x = -11

x = {-11,17}

Answer:

C

Step-by-step explanation:

The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!

Answer:

The answer is D,..................

Step-by-step explanation:

D

Answer:

4 i am not sure for this answer guess

4(2+y)2y-z when x=2 and y=4

4(2+4)2×4-z

4(6)(8-z)

(4×6)(-8z)

24-8z

z=24÷8

8/3

Therefore 8/3 is last answer .

The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [4(2 + y)] / (2y - x)

The value of the expression at x = 2 and y = 4 will be given as,

⇒ [4(2 + 4)] / [2(4) - 2]

Simplify the equation, then we have

⇒ (4 × 6) / (8 - 2)

⇒ 24 / 6

⇒ 4

The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.

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Step-by-step explanation:

Given length of diagonal of a cube = √12 cm Recall that length of diagonal of a cube = √3 × Length of edge of the cube ⇒ √12 = √3 × Length of edge of the cube ∴ Length of edge of the cube = √12 / √3 = 2√3 / √3 = 2 Thus the edge of the given cube is 2 cm

Answer:

thanks for the points have a nice day

Answer: y=-3x-2

Step-by-step explanation:

Slope is rise over run. The slope of y=-3x-2 is -3, which is 1 down/up and 3 to the right/left. The slope of y=-6x+1 is -6 which is 1 down/ up and 6 to the right/left. When the graph is going 3 steps to the right/left, it is steeper than when its going 6 steps to the right/left.

Answer:

What would best describe the universal set U?

positive integers less than 10

What would best describe set A?

prime numbers in U

What would best describe A ∪ B?

numbers in U that are prime or even

What would best describe A ⋂ B?

even prime numbers in U

Hope it helps!

The universal set is the set of all natural numbers less than or equal to 9

The sets are given as:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

Number 1 and 9 are outside the circles.

The universal set is the collection of all elements in the set.

i.e.

U = {1,2,3,4......9}

Hence, the universal set is the set of all natural numbers less than or equal to 9

We have:

A = {2, 3, 7, 5}

The elements of set A are prime numbers between 2 and 7 (inclusive)

Hence, the set A is the set of all prime numbers from 2 to 7

We have:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

The elements of set A u B is all elements in both sets.

So, we have:

A u B = {2,3,4,5,6,7,8}

Hence, the set A u B is the set of all natural numbers from 2 to 8

We have:

A = {2, 3, 7, 5}

B = {2, 6, 8, 4}

The elements of set A n B is the common elements in both sets.

So, we have:

A n B = {2}

Hence, the set A n B is 2

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Answer:

3 hours

Step-by-step explanation:

each hour is 2,000 gallons filled up 1 hour = 2,000

                                                           2 hours = 4,000

                                                           3 hours = 6,000or 4,850

If the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.

Given that;

The pool is filled with 2,000 gallons in 1 hour

To fill with 4850 gallons, we require x hours

Cross multiply, hence;

x = ( 1hr × 4850 gallons ) / 2,000 gallons

x = 4850hrs / 2000

x = 2.4 hours

Therefore, if the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.

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Answer:

The answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x = x + 40

2x - x = x - x + 40

x = 40

∠I = ∠Q = 33°

∠H = ∠P = 80°

∠J = ∠R = 67°

Answer:

43rd term

Step-by-step explanation:

Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.

So, (169-1)/4=42.

This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!

Answer:

15 - 5 = 10 wow that was so hard

Answer:

the awnser is 10

Step-by-step explanation:

x=15 so

15-5=10

Step-by-step explanation:

metallic when has is equipment death of amiloride open interval a b payment to see payment payment details

Answer:

ok so im pretty sure it is 6 pans with 2 cups left over

Step-by-step explanation:

so 2 1/2 times 6 is 15 since we cant get it exactly, so you use 6 which is 15 and you figure out what was leftover which is 2

Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:

c. 0.51

If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, these following two events result in the rights of exactly one of the two mountains being bought:

Hence:

[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]

Thus, option c is correct.

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