Find BC.
А В
С
ош
=
=
AD = 10.5
AB = 2
СЕ = 11.5
AE = 15
BC = [?]
=

Using an exponential function, it is found that the city will be half populated in 9 months.

The population of Fantasy City doubles each month, hence, after t months, the population is given by:

[tex]P(t) = P(0)2^{t}[/tex]

Fully populated in 10 months, hence, the full population is:

[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]

Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:

[tex]P(t) = P(0)2^{t}[/tex]

[tex]512P(0) = P(0)2^{t}[/tex]

[tex]2^t = 512[/tex]

[tex]2^t = 2^9[/tex]

[tex]t = 9[/tex]

The city will be half populated in 9 months.

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The amount Billy has at the end of the 15 years is $9,377.73.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P[tex](1 + r/n)^{nt}[/tex]

P = principal

r = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $5000

r = 4.2%

t = 15 years

n = 12

A = P[tex](1 + r/n)^{nt}[/tex]

A = 5000 [tex](1 + 0.0035)^{180}[/tex]

A = 5000 x [tex]1.0035^{180}[/tex]

A = $9,377.73

Thus,

Billy has $9,377.73 at the end of the 15 years.

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Answer:

The correct answer is C

x² - 2x -15

Answer:

25 + 45 = 5 (5 + 9)

Step-by-step explanation:

25 + 45 = ? (5 + 9)

Step 1: 25 ÷ 5 = 5

Step 2: 25 ÷ 9 = 5

? = 5

The distance between Jays hair and the caffe shop is 2.5 km.

Since the mall is located 2.4 kilometers north of jays house and the caffe shop is located 0.7 kilometers east of the mall, both directions are perpendicular. So, the distance between Jays hair and the caffe shop forms the hypotenuse side of this right angled triangle.

So, using Pythagoras' theorem, we find the hypotenuse side of this triangle, L.

Pythagoras' theorem states that the sum of squares of the sides of a right angled triangle equal the square of the hypotenuse side.

So, L = √[(2.4 km)² + (0.7 km)²]

L = √[(5.76 km² + 0.49 km²]

L = √(6.25 km²)

L = 2.5 km

So, the distance between Jays hair and the caffe shop is 2.5 km.

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Answer:

32

Step-by-step explanation:

ok to the result is - 60 she said. So then we know that in order to get -60, you had to subtract 17 from the original number and multiply by -4.

equation is this: (x-17)×-4= -60

Next, we solve using pemdas!

x-17=[tex]\frac{-60}{-4}[/tex]   (keep in mind that a negative cancels out a negative!)

add 17 to both sides

x= [tex]\frac{-60}{-4}[/tex]+17

So then now that you have the new equation you simplify!

x= 32

Use the pythagorean theorem [tex]a^2+b^2 = c^2[/tex] to plug in a = 8 and b = 6. You should find that the hypotenuse is c = 10. The diameter of the circle is 10 units, which leads to the circumference of [tex]C = 10\pi[/tex]

The table is an illustration of a proportional relationship. and can be modeled by the function rule y = 12x

The entries of the table is given as:

Hours    Earnings

4               48

6               72

10              120

20             240

Start by calculating the rate (m) of the function

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{72 - 48}{6-4}[/tex]

[tex]m = \frac{24}{2}[/tex]

[tex]m = 12[/tex]

The equation of the table is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 12(x - 4) + 48[/tex]

[tex]y = 12x - 48 + 48[/tex]

[tex]y = 12x[/tex]

[tex]y = 12x[/tex] means that, the following statements are true:

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Answer:

36 is the answer

Step-by-step explanation:

Hope it will help you

Answer:

I think this is the answer

Step-by-step explanation:

p= x+2+x+9+2x

Simplified

4xin+11in

Answer: the cost would be 2398.19

Step-by-step explanation: hope this helps:)

Answer:

D. 9.55 and 1.10​

Step-by-step explanation:

9.55*1.10=10.505

Then the factors are 9.55 and 1.10​

This is because factors are what makes the product so 9.55 times 1.10​ is 10.505

So D. 9.55 and 1.10​ is correct

Hope this helps!

Answer:

so she made 8 so

8*what ever the rest is

then she has b

8b plus what ever

then each one has 7 blue beads on each one

8(b+7)or 8b+56

Hope This Helps!!!

Answer:

Step-by-step explanation:

8b + 7b = Total Beads for the Pink(8) and Blue(7) bracelets

15b = Total beads

Answer: The darkness is the correct answer

Step-by-step explanation:

As you know that if the darkness becomes bigger you are unable to see it. Hope you like the answer do let me know in the about your thoughts.

Answer:48 16 = ?

27 9 = 9

60 20 - 10

Step-by-step explanation:

Answer:

the asnswer is -67463 to the power of 4

Step-by-step explanation:

Answer:

$4.32

Step-by-step explanation:

If you are splitting it evenly, just divide 12.96 by 3

12.96 / 3 = $4.32

Answer:

X=2

Step-by-step explanation:

Triangle

3x+18

Rectangle

6x+12

Same perimeter:

3x+18=6x+12             //-12

3x+6=6x                   //-3x

6=3x                         //:3

2=x

Answer:

x = 2

Step-by-step explanation:

Perimeter of triangle = a + b + c

Perimeter of rectangle = 2(l + b)

=> x + 5 + x + 6 + x + 7 = 2(2x - 1 + x + 7)

=> 3x + 18 = 2(3x + 6)

=> 3x + 18 = 6x + 12

=> 3x - 6x = 12 - 18

=> -3x = -6

=> x = -6/-3

=> x = 2

Answer:

At most one of the adults has high blood pressure.

Step-by-step explanation:

Answer:

i think C. 0.06 is answer

Step-by-step explanation:

6% = 6/100 = 0.06

[tex]6\% \\ = \frac{6}{100} \\ = 0.06[/tex]

Answer:

C) 0.06

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:216691116

Step-by-step explanation:

Answer:

216,691,116

Step-by-step explanation:

Answer:

Variable = 4 (1/4x) 1/Variable - 12 - 12

(Hope this helps.)

Answer:

The 2 dollars has $1.80 more than the two dimes.

Step-by-step explanation:

2.00-0.20=1.80

Answer:

[tex]y=-\frac{5}{4} x+2.[/tex]

Step-by-step explanation:

1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;

2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;

3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':

7= -5/4*(-4)+i; ⇒i=2, then

[tex]4) \ finally, \ y=-\frac{5}{4}x+2.[/tex]

Answer: neither statement is correct

Step-by-step explanation:

on Khan Academy

The statement by Tom "A player will most likely get 17.5 " is correct based on expected value .

Expected value (also known as EV, expectation, average, or mean value) is a long-run average value of random variables. It also indicates the probability-weighted average of all possible values. Expected value is a commonly used financial concept.

According to the question

Tom and Rosie are designing a game.

In each turn, a player rolls five 6-sided dice and adds the numbers showing on each face to determine how many points they get that turn.  

let X represent the sum in a given turn

the expected value of X is E(X)=17.5

As

expected value is also called mean value  

i.e

highest value of sum = 6+6+6+6+6

                                   = 30

Lowest value of sum = 1+1+1+1+1

                                   = 5

Therefore,

Mean = [tex]\frac{30+5}{2}[/tex]

          = 17.5

Now,

Tom says, "A player will most likely get 17.5

This statement is correct as per expected value which is mean value and it is 17.5 .

Rosie says, "Over 100 turns, we can expect a total of about 175

This statement is incorrect as per expected value as

expected value = 17.5

when 100 turn will happen it will

17.5 * 100

= 1750

Hence, The statement by Tom "A player will most likely get 17.5 " is correct based on expected value .

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Answer:

5x + 3y

Step-by-step explanation:

Combine Like terms: 2x + 3x = 5x

                                   5x + (5y - 2y) = 3y

                                    Ans: 5x + 3y

Answer:

Step-by-step explanation:

I am not sure what the first question is asking but yes y does very direction with x.

Lemme know if i can help with anything else

:)

Discount=$ 4

Discount percent :21.06%

solution given:

Marked price: $18.99

selling price: $14.99

Now

discount : Marked price - selling price

:$18.99- $14.99

:$4

Now

discount percent:[tex] \frac {discount}{marked \:price} *100\percent [/tex]

=[tex]\frac {4}{18.99}*100 [/tex]%

=21.06%

Step-by-step explanation:

Hope it will help you a lot.