The cost of a ticket increases by 10% and the cost is £19.25. What was the cost before? The answer is £17.50 but how do you work out this? Can you please tell me the method?

Answer:

  11.4 years

Step-by-step explanation:

We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.

  FV = P(1 +r/n)^(nt)

for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...

  6400 = 1200(1 +0.15/4)^(4t)

  16/3 = 1.0375^(4t) . . . . divide by 1200

  log(16/3) = 4t·log(1.0375) . . . . take logarithms

  t = log(16/3)/(4·log(1.0375)) ≈ 11.4

It will take about 11.4 years for Lucy's investment value to be $6400.

8 > 7- yes

7 = 7- no

12 > 7- yes

2 < 7- no

Answer:

I think they are both wrong

The correct way to solve it is this.

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

[tex]-6x+4-4=-20-4[/tex]

[tex]-6x=-24[/tex]

Step 2: Divide both sides by -6.

[tex]x=4[/tex]

Answer:

x=4

I hope to help you!!!!

First step is subtract 4 and next option is divided (-6)

So,From first part option A is the correct answer and from next part option A is the correct answer.

What steps would we perform?

This is a problem of equation part of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Here given, equation is [tex] - 6x + 4 = - 20[/tex]

Now,

-6x + 4 = -20

First we are separating variable and constant part.

So first we subtracting 4 from (-20) and get

[tex] - 6x = - 20 - 4[/tex]

or,[tex] - 6x = - 24[/tex]

Now (-24) is dividing by (-6) and get,

[tex]x = \frac{ - 24}{ - 6} \\ x = 4[/tex]

So, value of x is 4.

Equation related one more question:

https://brainly.com/question/10413253

#SPJ2

Answer:

n=34.24

Step-by-step explanation:

solve for n by simplifying both sides of the equation, then isolating the variable

Step-by-step explanation:

Hope this helps you

Ahhh.. Okay now it's long enough

Answer:

i think is b

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

i dont know sorry:(

Answer:

x = [tex]\frac{6}{4+a-2b}[/tex]

Step-by-step explanation:

Given

4x + ax = 2(bx + 3) ← distribute parenthesis

4x + ax = 2bx + 6 ( subtract 2bx from both sides )

4x + ax - 2bx = 6 ← factor out x from each term on the left side

x(4 + a - 2b) = 6 ← divide both sides by (4 + a - 2b)

x = [tex]\frac{6}{4+a-2b}[/tex]

Answer:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

3) 2 × 9² - 7 - 7 - 5 - 1 = 142

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Step-by-step explanation:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

Multiply 2 by 2 by 5 by 7 add to 9 then subtract 7 multiplied by 1

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

Multiply 9 by 7 by 2 by 7 add to 5 multiplied by 2 then add to 7 and subtract 1

3) 2 × 9² - 7 - 7 - 5 - 1 = 2 × 9² - (7 + 7 + 5 + 1) = 142

Multiply 2 by 9 raised to the power of 2 then subtract  the sum of 7, 7, 5 and 1

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Multiply 2 by 7 raised to the power of 2 then add 9 and add 7 multiplied by 5 multiplied by 1.

Answer:

4 to 2

Step-by-step explanation:

Answer:

The ration is 2 : 1

Step-by-step explanation:

Out of 6 members, there are:

4 girls

2 guys

Ratio of girls to boys:

girls : boys

4 : 2

Simplify by dividing.

4 ÷ 2 : 2 ÷ 2

2 : 1

Answer:

(A)increasing

Step-by-step explanation:

Given the time and total distance ran by Myra in the table below.

[tex]\left|\begin{array}{c|c}Time(minutes)&Distance(miles)\\--&--\\0&0.0\\2&0.4\\4&0.8\\6&1.2\\8&1.6\end{array}\right|[/tex]

We observe that as time increases, Myra's distance also increases. It is the speed(0.2 miles per minute) which is constant.

Therefore Option A is the correct option.

Answer:

its a

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

(-3) ^2

(-3)*(-3)

A negative times a negative

9

If the problem is

- (3) ^2

- (3*3)

- 9

Answer:

20 percent

Step-by-step explanation:

Answer:Now I'm not that smart but it should be 20%

Step-by-step explanation:if you take the 10 and the the 2, since 10 is acting as the 100% the 2 will be the 20%

Hope that helped

Answer:

11.11% probability that you have missed both friends in the cafeteria

Step-by-step explanation:

We use the uniform probability distribution to solve this question, since each lunch duration is equally as likely.

Uniform distribution:

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]

Probability that you miss the first friend:

Somewhere between 12 and 12:30 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex]

You arrive at 12:20. So if his lunch is 20 or less minutes, you miss him.

[tex]P_{1} = P(X \leq 20) = \frac{20 - 0}{30 - 0} = 0.6667[/tex]

Probability that you miss the second friend:

Somewhere between 12:15 and 12:45 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex].

You arrive at 12:20. So if his lunch is 5 or less minutes, you miss him.

[tex]P_{2} = P(X \leq 20) = \frac{5 - 0}{30 - 0} = 0.1667[/tex]

Probability that you miss both friends:

Missing the first friend and the second friend are independent events. So we multiply these probabilities.

[tex]p = P_{1}*P_{2} = 0.6667*0.1667 = 0.1111[/tex]

11.11% probability that you have missed both friends in the cafeteria

Answer:

(13,6)

Step-by-step explanation:

Answer:

(13,6)

Step-by-step explanation:

Answer:

The BLM or Black lifes matter is a movements that started with the murther or death of a African american person some days ago

Step-by-step explanation:

Answer:

C. If the radius decreases, then the height must decrease

Answer:

There is no change

Step-by-step explanation:

Though the radius and height are perpendicular to one another, there is no actual relationship between their lengths.

At least that is what my math teacher tells me. So if it's wrong please blame her and not me.

Answer:

y = 5x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 9 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, thus

y = 5x + c ← is the partial equation

To find c substitute (- 2, - 3) into the partial equation

- 3 = - 10 + c ⇒ c = - 3 + 10 = 7

y = 5x + 7 ← equation of parallel line

Answer: 102.9m

Step-by-step explanation: From A to C you can go from the diagonal path and then go around the circular path and then continue the diagonal path. In order to work out the length of the diagonal, you can simply use pythagoras as the triangle is right angled. So to find the length of the whole diameter, you should do 50 squared plus 80 squared and then square root the answer to get 94.34. But then you have to subtract the part of the diagonal line which the circle takes up, so we already know that the diameter of the circle is 15m so we simply do 94.34-15 to get 79.34. This means that we have found the length of the two diagonals, but now we need to find the length of half the circumference of the circle so that the path is complete and to find half the circumference, we'd do Pi multiplied by the diameter (15) and then divide the answer by 2 (because we are only finding the circumference for half of the circle as we have you go around the circle), leaving us with the answer of 23.56. We then add this to the 79.34 to get the answer of 102.9m. We know this is the shortest route as going along the edges of the rectangle would be 130m which is longer than 102.9m.

Answer:

1 box contain 15pens

232 boxes contain x pen

to find x we wil cross multiply

1box = 15pen

232 boxes = x pen

x pen = 232 * 15

= 3480 pens

Hence , office have to sell 3480 pens

Step-by-step explanation:

1 box contain 15pens

232 boxes contain x pen

to find x we wil cross multiply

1box = 15pen

232 boxes = x pen

x pen = 232 * 15

= 3480 pens

Hence , office have to sell 3480 pens

Answer:

The model is 6 inches tall.

Step-by-step explanation:

Write and solve an equation of ratios:

10 in.         x

--------- = ----------

40 ft.      24 ft.

Cross-multiplication yields:

240 in = 40x, so x = 6 inches.

The model is 6 inches tall.

The scale model is 6 inches.

Important information:

Let the scale model is [tex]x[/tex] inches tall.

The height and width of the building and the scale model are proportional.

[tex]\dfrac{x}{10}=\dfrac{24}{40}[/tex]

[tex]x=\dfrac{24}{40}\times 10[/tex]

[tex]x=6[/tex]

Therefore, the scale model is 6 inches.

Find out more about 'Scale model' here:

https://brainly.com/question/1664216

Correction

The function is [tex]p(t)=361e^{kt[/tex]

Answer:

k=0.0259

Step-by-step explanation:

The population function is given as: [tex]p(t)=361e^{kt}[/tex]

Where t=0 corresponds to the year 2000.

In 1980, 1980-2000=-20, p(-20)=215

Therefore:

[tex]215=361e^{k*-20}\\$Divide both sides by 361$\\\frac{215}{361}= e^{-20k}\\$Take the natural logarithm of both sides$\\ln(\frac{215}{361})=-20k\\k=ln(\frac{215}{361})\div (-20)\\k=0.0259[/tex]

Answer:

k ≈ 0.44

Step-by-step explanation:

Given the equation

p(t) = 36e^(kt)

In the year 2000, when t = 0, the population

p(0) = 36e^k............(1)

In 1980, when t = -20, the population was 215000

This implies that

215000 = 36e^(-20k)

e^(-20k) = 215000/36

e^(-20k) = 5972.222

Taking natural logarithm of both sides

ln(e^(-20k)) = ln(5972.222)

-20k = 8.695

k = -8.695/20 = 0.435

k ≈ 0.44

Answer:

30 and 9

Step-by-step explanation:

x+y=39 , x-y=21

Solve for x:

x+y=39 , x-y=21

x= 30

Substitute x with 30:

(30)+y=39 , (30)-y=21

Solve for y:

y=9

Answer:

30 and 9

Eeexplination;

Answer:

The answer is 3125 and I suppose that 624 is meant to be 625

Answer:

The next number should be 3,125

Step-by-step explanation:

1*5=5

5x5=25

25x5=125

125x5=625

625x5= 3,125

Answer:

Distance between C and D is √10 which is 3.16

Step-by-step explanation:

Answer:

24/6=c

Step-by-step explanation:

Well to split 24 you need to divide by 6 and that will equal the answer. An equation always has a equal sign so you know that you would be solving for c

Answer:

[tex]\frac{27}{64}[/tex]

Step-by-step explanation:

Since we are dividing indices here with fractions, we apply the rule to minus the indices from each other when dividing. So,

[tex]\frac{3}{4} ^{6} -\frac{3}{4} ^{3}[/tex]   =     [tex]\frac{3}{4}^{6-3}[/tex]   =      [tex]\frac{3}{4}^{3}[/tex]    =    [tex]\frac{3 * 3 * 3}{4 * 4 * 4}[/tex]      =      [tex]\frac{27}{64}[/tex]

Answer:

[tex]X(a - b) = b (c - x) : x = - -\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]

Step-by-step explanation:

[tex]X\left(a-b\right)=b\left(c-x\right)[/tex]

Switch sides:

[tex]b\left(c-x\right)=X\left(a-b\right)[/tex]

Divide both sides by; [tex]\:b\ne \:0[/tex]

[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]

Simplify:

[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]

Subtract [tex]c[/tex] from both sides:

[tex]c-x-c=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]

Simplify:

[tex]-x=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]

Divide both sides by [tex]-1;\quad \:b\ne \:0[/tex]:

[tex]\frac{-x}{-1}=\frac{\frac{X\left(a-b\right)}{b}}{-1}-\frac{c}{-1};\quad \:b\ne \:0[/tex]

Simplify:

[tex]x=-\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

The answer is [tex]6^{5}[/tex].

Happy to help!

Let the first number = x

The second number would be x +1

3rd number = x +2

4th number = x +3

5th number = x+4

6th number = x+5

7th number = x +6

8th number = x +7

9th number = x+8

The sum is 279

Combine like terms in the 9 numbers to get: 9x + 36 = 279

Solve for x:

9x + 36 = 279

Subtract 36 from both sides:

9x = 243

Divide both sides by 9:

x =27

The first number is 27

The last number would be 27 + 8 = 35

The sum of the first and last would be 27 + 35 = 63

Answer:

Sure thing! Volume is length times width times height. It does not matter what order you put the numbers in, though

Step-by-step explanation:

1 is 0.6666666666666666666666666666 infinity

2 is 0.421875

4 is 0.3

5 is 1.3125.

please mark brainliest!!

Answer:

Step-by-step explanation:

1. 1/6 feet

2. 27/64 yards

4. 3/10 inches

5. 21/16 cm

hope this helped you!!