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Answer:

Original value of investment = £500 (Approx.)

Step-by-step explanation:

Given:

Rate per year = 4%

Number of year = 3 years

Value of investment after 3 year = £562.43

Find:

Original value of investment

Computation:

A = P[1+r]ⁿ

562.43 = P[1+4%]³

562.43 = P[1+0.04]³

562.43 = P[1.04]³

562.43 = P[1.1248]

Original value of investment = 562.43 / 1.1248

Original value of investment = 500.026

Original value of investment = £500 (Approx.)

Answer:

Step-by-step explanation:

An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)

In this case you have two points (2,5) and (0,-1)

2 = x1 (cause it’s the first x)

5 = y1 (cause it’s the first y)

0 = x2 (second x)

-1 = y2 (second y)

So the slope would be

(5-(-1))/2-0= 6/2 = 3

Answer:

From 10 a.m. to 2 p.m., the temperature at Sam's house increased by 8 degrees Fahrenheit.

Step-by-step explanation:

Write as a number equation ---->  2 - (-6) = 8

Answer:

10.2

Step-by-step explanation:

The sum of the three angles is 180, since they form a straight line

8x-15  + 58+ 3x+25 = 180

Combine like terms

11x +68 = 180

Subtract 68 from each side

11x+68-68= 180-68

11x =112

Divide by 11

11x/11 = 112/11

x = 10.181818181

x = 10.2

Given info:-In the given figure, points A,B and C are collinear or they are straight line. Where angle ABC , angle DBE and EBC are in formed of linear pair that mean they are 180. And here we are going to find out the value of X?

angle ABD+ angle DBE + angle EBC = 180° {Angles of a linear pair]

⇛(8x-15)°+(58)°+(3x+25)° = 180°

Remove all the brackets in LHS.

⇛8x° - 15° + 58° + 3x° + 25° = 180°

⇛11x° - 15° + 58° + 25° = 180°

⇛11x° - 15° +83° = 180°

⇛11x° + 68° = 180°

⇛11x° = 180° - 68°

⇛11x° = 112

Shift the number 11° from LHS to RHS.

⇛x = 112÷11 ⇛112/11 =

The value of x = 10.181818.. = 10.18 bar

Additional comment:

The interior angles on the same side to the transversal are supplementary.

also read similar questions: Select the statement that is missing from the proof below showing that vertical angles formed by intersecting lines are congruent. ∠ABD and ∠ABC form a linear p...

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Answer:

B) 9

Step-by-step explanation:

110 + 75 + 11x - 9 + 8x + 13 = 360

19x + 189 = 360

19x (+ 189 - 189) = 360 - 189

19x = 171

19x/19 = 171/19

x = 9

Answer:

$9.05

Step-by-step explanation:

x = $adult

y = $kid

2x + 3y = 72.85 (Heather)

2x + 5y = 94.75  (Carl)

subtract the equations to get:

-2y = -21.90

y = 10.95

solve for 'x':

2x + 3(10.95) = 72.85

2x + 32.85 = 72.85

2x = 40

x = 20

Difference between 20 and 10.95 is $9.05

Answer:

3.14 yd²

Step-by-step explanation:

Area = πr² = π(1)² = 3.14 yd²

Answer:

3.14

Step-by-step explanation:

because the area of a circle is pi × r^2, we can just plug in the value of r which is 1 yard

A = pi × (1)^2

A = pi × 1

A = pi or 3.14

Answer:

48 [tex]in^{3}[/tex]

Step-by-step explanation:

Surface Area (SA) of a pyramid = [tex]\frac{bh}{3}[/tex]

Surface Area = 36 · 4/3

Surface Area = 144/3

Surface Area = 48

Answer:

3/5

Step-by-step explanation:

Because if you take 3/4 x 4/5 you can cross simplify the 4's in the equation and they cancel eachother out, so then u are left off with 3/1 x 1/5 and then you get 3/5

Answer: [tex]337.77\%[/tex]

Step-by-step explanation:

Given

For 70 year old, premium is 79.79 per month

For 80 year old it is 349.30 per month

Percentage increase in premium costs from age 70 to 80 is

[tex]\Rightarrow \%\ \text{increase}=\dfrac{349.30-79.79}{9.79}\times 100\\\\\Rightarrow \%\ \text{increase}=\dfrac{269.51}{79.79}\times 100\\\\\Rightarrow \%\ \text{increase}=337.77\%[/tex]

Answer:

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Answer:

c

Step-by-step explanation:

Answer

x+10/6(x-2)

Step-by-step explanation:

I took the quiz

3x - 6 = 90

3x - 6 + 6 90 + 6

3x = 96

3x ÷ 3 = 96 ÷ 3

x = 32

Answer:

5.143m

Step-by-step explanation:

Since we are not asked what to find, we can find the height of the building

Given

Length of ladder (hypotenuse) = 6m

angle of elevation = 59°

Required

Height of building H (opposite)

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 59 = H/6

H = 6sin59

H = 6(0.85716)

H =5.143

Hence the height of the building is 5.143m

Answer:

The graph on the right. y= 5, 6, 7, 8

Are you sure about the numbers ( 83 x 52) ? I think there is a mistake

Answer:

x = 9

Step-by-step explanation:

2x + 15 = 33

2x = 33 - 15

2x = 18

x = 18/2 = 9

Answer:

x=9

Step-by-step explanation:

2x+15=33

Subtract 15 from each side

2x+15-15=33-15

2x=18

Divide by 2

2x/2 = 18/2

x = 9

Answer:

heyy sorry i dont really know what is the 'standard deviation' but as for the mean you go to add all the numebers together and divide them by the amount of numbers there are (7 in this scenario)

Step-by-step explanation:

21 + 29.5 + 38 + 46.5 + 55 + 63.5 + 72 = 325.5

then you divide 325.5 by the number of numbers present in the question

325.5 / 7 = 46.5

hope it helped :)

Answer:

7 books

$27

Step-by-step explanation:

3x + 6= 5x - 8

3x - 5x = -14

-2x= -14

x= 7 books

he has (3×7)+6= $27

Let comics be c and mystery be m

Cost be y

c=m

The equations are

Solve for m

He has

=========================================================

Explanation:

1 hour = 60 minutes

2 hours = 120 minutes (multiply both sides by 2)

2 hrs + 20 min = 120 min + 20 min (add 20 min to both sides)

2 hrs, 20 min = 140 min

Juan studied for 140 min

---------------------

Ken studied for 2/3 of an hour, so he studied for (2/3)*60 = 120/3 = 40 min

We see that Juan studied more than Ken, so that must mean Juan's study time as a percentage of Ken's study time is over 100%

This is because

and so on

We divide Juan's time by Ken's time to get: 140/40 = 3.5 = 350%

350% of Ken's study time was Juan's study time.

In other words, if we take 350% of the 40 min figure, then we get 3.5*40 = 140 which represents Juan's study time.

If your teacher asked the reverse of this, and instead asked "what percent of Juan's study time was Ken's?", then the answer would be 40/140 = 0.2857 = 28.57% approximately.

Explanation:

Draw out a rectangle and make sure it's not a square. So you could have it be longer than it is tall. Imagine rotating that rectangle 180 degrees. The before and after (preimage and image) will be identical. The same applies if we slanted the sides of this rectangle. This shows that any parallelogram has rotational symmetry.

Side note: any rectangle is a parallelogram, but not the other way around.

Answer:

15.625

Step-by-step explanation:

5x5x5 =125 /8 = 15.625

Answer:

13.33333333 or 40/3

Step-by-step explanation:

hope this helps

have a great day/night

Humans knowingly create environmental disasters.

Step-by-step explanation:

Answer:

-5(2x-6)+25x

-10x+30+25x

25x-10x+30

15x+30

15(x+2)

Step-by-step explanation:

The factored form of the given expression is 15(x + 2).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

−5(2x − 6) + 25x

It can be simplified as follows,

−5(2x − 6) + 25x

= -10x + 30 + 25x

= 15x + 30

= 15(x + 2)

Hence, the given expression can be simplified in factored form as 15(x + 2).

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Answer:

C. 9:5

Step-by-step explanation:

I got a 100 on my test

Answer:

Solution given.

The length of the prism is 5m.

The width of the prism is 4 m.

The height of the prism is 3m.

The prism holds a total of5*4= 20 cubes.

The volume is l*w*h=5*4*3= 60m3.

Answer:

A prism with a length of 4 meters, height of 3 meters, and width of 5 meters.

The length of the prism is  

4  m.

The width of the prism is  

5 m.

The height of the prism is

 3 m.

The prism holds a total of  

60  cubes.

The volume is  

60  m3.

Step-by-step explanation:

aka: B, B, A, D, D

Second option is correct. That is the probability of being below 514 with the mean  474  and standard deviation 32 is 0.8944.

A function that represents the distribution of many random variables as a symmetrical bell shaped graph.

The normal distribution is a probability distribution, so the total area under the curve is always 1 or 100%.

A z-score is a numerical measurement that describes a value's relationship to mean of a group of values.

z = (x -μ)/σ

where,

z is standard score

x is observed value

μ is mean of sample

σ is standard deviation of sample

According to the given question

we have

x = 514

μ = 474

and

σ =32

therefore,

Z- score will be

Z = (514 -474)/32 = 1.25

So, the area under the normal distribution curve z<1.25

⇒ P(x<1.25) = P(Z<1.25) = 0.894

Hence, second option is correct one. That is, the probability of being below 514 if the mean of a normal distribution is 474and the standard deviation is 32 is 0.894.

Learn more about the probability under normal distribution here:https://brainly.com/question/15103234

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Answer:

3/7(when simplified)

Step-by-step explanation:

there are 6 daisies out of 14 flowers and so the probability would be 6/14. When simplified, the answer would be 3/7