If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2years?

Answer:

[tex]\frac{1}{72}[/tex]

Step-by-step explanation:

We have been given that there are total 9 people who entered the drawing competition. There are 3 prizes to be distributed to the winners. The total number of ways that 3 prizes can be awarded to the 9 people can be determined as 9*8*7 = 504.

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*7 = 7.

Therefore, the probability that I win the first prize and my mom wins the second prize would be: [tex]\frac{7}{504}=\frac{1}{72}[/tex]

Answer:

it’s 7

Step-by-step explanation:

Answer: $1200 profit

Step-by-step explanation: $3200 - $2000 = $1200

Answer:

The two equal (same length) sides are 10.68 metres each.

Step-by-step explanation:

45.56 - 24.2 = 21.36 m (length of the 2 equal sides)

21.36 ÷ 2 = 10.68 metres

Answer:

10.68 m

Step-by-step explanation:

We are given that a perimeter of 5-sided figure =45.56 m

Two side of same length

Sum of three sides of given figure=24.2 m

We have to find the length of each side of the same length and explain.

Let x be the length of each side of same length

We know that

Perimeter of 5- sided figure=Sum of  length of  five sides

Therefore,

x+x+24.2=45.56

[tex]2x+24.20=45.56[/tex]

[tex]2x=45.56-24.2[/tex]

[tex]x=\frac{21.36}{2}=10.68[/tex]

Hence, length of each side of same length=10.68 m

Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a then b is true  then not b = not a is true. This is called the contrapositive.

Answer:

r=8

Step-by-step explanation:

The formula for slope is

m = (y2-y1)/ (x2-x1)

Substitute in what we know.

8/3 = (-7-1)/(5-r)

Simplify

8/3 = -8/(5-r)

We can use cross products to help us solve.

8 * (5-r) = 3 * (-8)

divide each side by 8

8/8 * (5-r) = 3 * (-8)/8

5-r = -3

Subtract 5 from each side

5-r-5 = -3-5

-r = -8

Multiply by -1

r = 8

Answer: 18.8%

Step-by-step explanation:

   [tex]\dfrac{\text{quantity of APPLE pies}}{\text{quantity ot TOTAL pies}}[/tex]

[tex]=\dfrac{3}{3+2+5+6}[/tex]

[tex]=\dfrac{3}{16}[/tex]

= 0.1875

= 18.75%

≈ 18.8%   rounded to one decimal place

Answer:

( x - 6 ) ( x - 3 ) (x + 4)

Step-by-step explanation:

Answer:

11 & 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

The answer is 8 and 11

Step-by-step explanation:

8 + 11 = 19

11 - 8 = 3

Answer:

F(x) = x+7

g(x) = 1/(x-13)

fog(x) = [1/(x-13)] + 7

The denominator of the fraction cannot be equal to zero.

So, the domain of fog(x) is x∈R~{13}

Step-by-step explanation:

To find the domain of (f•g)(x), substitute g(x) into f(x) and identify any values of x that make the expression undefined.

The function (f•g)(x) represents the composition of two functions, f(x) and g(x). To find the domain of (f•g)(x), we need to determine the values of x for which the composition is defined.

The composition (f•g)(x) can be written as f(g(x)). Substituting g(x)=1/x-13 into f(x)=x+7, we have f(g(x))=(1/x-13)+7.

The domain of (f•g)(x) consists of all the values of x for which the expression (1/x-13)+7 is defined. Since division by zero is not defined, we need to exclude x=0 from the domain. Additionally, we need to exclude the value x=13 because the expression (1/x-13)+7 would lead to division by zero. Therefore, the domain of (f•g)(x) is x≠0, 13.

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Expression: 22.50+5(x)

8 candles: $62.50

Suki rode her bike a longer distance than Claire because when comparing each of their distances to the benchmark of 1/2 mile, Suki's distance (4/5 mile) is greater than the benchmark (1/2 mile), while Claire's distance (1/3 mile) is less than the benchmark. Therefore, Suki rode a longer distance than Claire in relation to the benchmark.

Suki's Distance with Benchmark (1/2):

Suki rode her bike for 4/5 miles.

The benchmark is 1/2 mile.

Comparison: [tex]\frac{4}{5} > \frac{1}{2}[/tex]

Interpretation: Suki's distance ( 4/5 miles) is greater than the benchmark 1/2 mile.

Claire's Distance with Benchmark (1/2):

Claire rode her bike for 1/3 mile.

The benchmark is 1/2 mile.

Comparison: [tex]\frac{1}{3} < \frac{1}{2}[/tex]

Interpretation: Claire's distance ( 1/3 mile) is less than the benchmark 1/2 mile.

Overall Comparison:

Suki's distance (4/5) is greater than Claire's distance (1/3).

Interpretation: Suki rode her bike a longer distance than Claire.

In summary, both Suki and Claire are comparing their distances to the benchmark of 1/2 mile. Suki's distance is greater than the benchmark, while Claire's distance is less than the benchmark. Therefore, Suki rode a longer distance than Claire.

Answer:

k = 60

Step-by-step explanation:

2k + 11 is a same side corresponding angle, hence

2k + 11 = 131 ( vertically opposite angles )

subtract 11 from both sides

2k = 120 ( divide both sides by 2 )

k = 60

Answer:

Option C. k = 60

Step-by-step explanation:

There are two lines Z and Y and crossed by a transverse x.

We have to find the value of k.

Since opposite angle of ( 2k + 11 ) is corresponding angle of 131°

so opposite angle of ( 2k + 11 ) will be = (2k + 11)

and corresponding angles are equal in measure.

So 2k + 11 = 131

    2k = 131 - 11

   2k = 120

    k = 60

Option C k = 60 is the answer.

Answer:

Answer:

Room temp is 68°F to 77°F

Explanation:

Plug in 20 and 25 for C

20:

#F-32=1.8*20#

#=>F=36+32=68#

25:

#F-32=1.8*25#

#=>F=45+32=77#

To simplify the expression, find the common denominator, distribute the 'a' to each term, and combine like terms.

To simplify the expression  a/5x-10 + a/6x-12, we need to find a common denominator for the two terms. The common denominator is 30x(x-2). We then multiply each term by the appropriate factor to get a common denominator. This simplifies the expression to:

a(6x-12) + a(5x-10) / 30x(x-2)

Now, we can distribute the 'a' to each term:

6ax - 12a + 5ax - 10a / 30x(x-2)

Combining like terms, we get a(11x - 22) / 30x(x-2).

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Answer:

<DAB= 98

Step-by-step explanation:

Remark

I think you are supposed to assume that this is a parallelogram. In that case the two labeled angles are intended to be equal (one of the properties of a parallelogram).

Equation

2x + 36 = 3x - 5                    Add 5 to both sides

2x + 36 + 5 = 3x  - 5 + 5      Combine

2x + 41 = 3x                          Subtract 2x from both sides

2x - 2x + 41 = 3x - 2x           Combine

41 = x

Answer

<DAB = 2x + 36

<DAB = 2*41 + 36

<DAB = 82 + 36

<DAB = 98

Answer:

D

Step-by-step explanation:

The common difference d, between the terms is

d = - 9 - 3 = 3 - 15 = 15 - 27 = - 12

To find the next term in the sequence subtract 12 from the previous term

⇒ - 9 - 12 = - 21 ← is the next term in the sequence

The next term of the sequence after -9 is -21

∴ Common difference of the given problem = (15 - 27) = -12

∴ Each term of the sequence gets decreased by 12

∴ The term after -9 will be ( -9 - 12) = -21

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Answer:

Option D.

Step-by-step explanation:

Consider the given function

[tex]f(x)=0.25^x+5[/tex]

We need to find the graph of given function.

Substitute x=0 in the given function to find the y-intercept of the function.

[tex]f(0)=0.25^(0)+5[/tex]

[tex]f(0)=1+5[/tex]

[tex]f(0)=6[/tex]

So, y-intercept of the function is 6.

[tex](0.25)^x\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]

[tex](0.25)^x\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]

We can concluded that

[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]

[tex]f(x)\rightarrow 5[/tex] as [tex]x\rightarrow \infty[/tex]

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

Answer: The cost of 1 liter milk is $ 0.75  and the cost of a loaf of bread is $1.75

Step-by-step explanation:

Let the cost of one liter of milk  is m dollar and the cost of one loaf of bread is b dollar.

Since, the total cost of the 3 liter milk and 5 loaf of bread = $ 11

That is, 3 m + 5 b = 11   ----------(1)

And, the cost of the 4 liter of milk and 4 loaf of bread = $ 10

That is, 4 m + 4 b = 10 -----------(2)

4 × Equation (1),

12 m + 20 b = 44 -----------(3)

3 × Equation (2),

12 m + 12 b = 30 --------------(4)

Equation (3) - Equation (4),

We get, 8 b = 14

⇒ b = 14/8 = 1.75

 By putting the value of b in equation (1)

We get,

3 m = 11 - 1.75×5 ⇒ m = 2.25/3 = 0.75

Thus, the price of one liter of milk = $ 0.75

And, the price of one loaf = $ 1.75

Answer:

The cost of 1 liter milk is $ 0.75  and the cost of a loaf of bread is $1.75

Step-by-step explanation:

Answer:

Q 1 = answer is B

Q 2 = answer is A

Step-by-step explanation:

Answer:

m = 1575

Step-by-step explanation:

so first you have to simplify the equation: m = 45 (35) because the absolute value of -35 is 35. after that you multiply 45 by 35 and end up with 1575. I am assuming that the 45 is supposed to be multiplied by the absolute value.

Answer:

im positive its b please give brainliest

Step-by-step explanation:

Answer:

I think the answer is 680%

Answer:

w=-4

Step-by-step explanation:

w-20=6w

-20=5w

-4=w

Answer:

Neither

Step-by-step explanation:

y = 5/3 x + 3, this line has slope = 5/3

20x + 12y = 12

12y = -20x + 12

y = -20/12 x + 1

y = - 5/3 x + 1, this line has slope = - 5/3

Parralel ; same slopes

Perpendicular; slopes are opposite and reciprocal

So answer is neither pair parallel nor perpendicular

The pair of equations y = 5/3x + 3 and 20x + 12y = 12 are parallel because they both have the same slope of 5/3 once the second equation is put into slope-intercept form.

To determine if the pair of equations y = 5/3x + 3 and 20x + 12y = 12 are parallel, perpendicular, or neither, we must first put both equations into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. The equation y = 5/3x + 3 is already in slope-intercept form with a slope of 5/3. To convert the second equation into slope-intercept form, we can rewrite it as 12y = -20x + 12, and then y = (-20/12)x + 1, which simplifies to y = -5/3x + 1.

Now, comparing the slopes of these two lines, we see that both slopes are equal, meaning the lines are parallel to each other since they have the same slope but different y-intercepts.

Answer: (x+1)^2=10

Step-by-step explanation:

Answer:

P (odd number or number greater than 4) =  4/6  = 2/3

Step-by-step explanation:

The solution set { 1,2,3,4,5,6}

Odd numbers are 1,3,5

Numbers greater than 4 are 5,6

Notice that 5 is repeated.  We can only count it once

There are 4  answers that meet the criteria  (since we can only count 5 once)

P (odd number or number greater than 4) =  4/6  = 2/3

Answer:

male comedy: 31 male drama: 9

female comedy: 36 female drama: 24

Step-by-step explanation:

add f+m=100 total

31 males for comedy

40 males - 31 males = 9 males for drama

55% chose comedy so 55-31 males = 24 females for comedy

60 total females - 24 for comedy = 36 females for drama

Answer:

                         Dramas              Comedies

Males                   9                             31

Females             36                            24

Step-by-step explanation:

It is given that Lamar surveyed 40 males and 60 females about whether they prefer dramas or comedies.

Total males = 40

Total females = 60

Total people surveyed = 40 + 60 = 100

It is given that 55% of surveyed people preferred comedies.

People preferred comedies = [tex]100\times \frac{55}{100}=55[/tex]

It is given that males who preferred comedies = 31

Males who preferred drama is the difference of number of males and males who preferred comedies.

Males, drama = 40 - 31 = 9

Females who preferred comedies is the difference of people who preferred comedies and males who preferred comedies.

Females, comedies = 55 - 31 = 24

Females who preferred drama is the difference of number of females and females who preferred comedies.

Females, drama = 60 - 24 = 36

Therefore the table can be filled as

                         Dramas              Comedies

Males                   9                             31

Females             36                            24

Answer:

$1,846.9

Step-by-step explanation:

Liability Insurance 50/100/25

Where 50/100=$310; and 25=$175. The equation is ($310+$175=$485)

Collision & Comprehensive Premiums

Where Deductible=$250; Collision=$185; and Comprehensive=$102. The equation is ($250+$185+$102=$537)

He gets a 25-29 aged male rating factor of 1.55 for each of them. Liability's equation is $310*1.55=$480.5; and for Collision and Comprehensive the equation is $(185+102)*102=$344.4

Added all up ($485+$537+$480.5+$344.4=$1,846.9)

Answer:

C) Constantinople was a city that was neutral during the time of the First Crusade.

Answer:

the eprson is right it is c

Step-by-step explanation:

Answer:

First Answer C

Second andswer B

Step-by-step explanation:

Left Panel

Givens

In a previous question we have found 2 things.

If two of the sides are 9 then in this case only we can use the Pythagorean theorem to find the third side. That is because the the base and height meet at right angles.

a^2 + b^2 = c^2

9^2 + 9^2 = c^2

81 + 81 = c^2  

c^2 = 162

sqrt(c^2) =sqrt(162)

c = 12.71

Perimeter

The perimeter = 9 + 9 + 12.71 = 30.7

Answer C

Answer B