Emily borrows £580 from a bank at an interest rate of 896 per year.
She will give the money back after 4 years.
How much money will Emily have to pay back?

Answer:

The constant of proportionality is k=1/4

Step-by-step explanation:

For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.

Answer:

35

Step-by-step explanation:

one word: PEMDAS. technically they are all a bunch of words but whatever...

P: parentheses

e: exponents

m: multiply

d: divide

a: add

s: subtract

first we multiply 4*10 since that's first on the list

4*10=40

we have

3+40-8

then we add

3+40

which is 43

then we subtract 8 from it as we have 43-8

which is in the end:

35

Answer:

1.) Smith

2.) Johnson

Answer:

Step-by-step explanation:

Answer:

r o s(3)=?

s(x)= x²-1

x=3

s(3)= 3²-1

s(3)= 9-1

s(3)=8

r(8)

r(x)= -2x-1

x=8

r(8)= -16-1

r(8)= -17

r(s(3))= -17

Answer:

x = -3

Step-by-step explanation:

1. 5 - x = 8

2.   +x    +x

3. 5 = x + 8

4. -8       -8

5. x = -3

Step-by-step explanation:

x,y = 0,-15

for another you have to draw Cartesian plane

Answer:

The answer is:- Zero slope

Step-by-step explanation:

Hope it helps you ✌️

Answer:

160

Step-by-step explanation:

we have, 45%×x = 72

or, 45÷100×x = 72

multiplying both side by 100 and diving both side by 45,

we have x= 72×100÷45

Answer:T he first season of Black Ops Cold War has been underway for almost a month now. The game has been having great success since it released back in November. One aspect of the multiplayer that a lot of players were disappointed with, was the lack of a final killcam.

Step-by-step explanation:

Answer:

The final Killcam is a Call of Duty staple. Every player in the game can see who got the final elimination of the game, and how they did it. The randomness is part of the fun; sometimes you’ll see an insane 360 Tomahawk kill, or you can have a good laugh at someone missing all of their shots before finally getting the elimination.

However, Black Ops Cold War has opted for a ‘Best Play’ system. Most of the time, you’ll see someone get a multi-kill from some point in the match. While you do often see impressive plays, the fun randomness element is mostly taken out and this has had a negative impact on Search and Destroy.

A Treyarch developer has now confirmed that they will be adding the final Killcam system to Cold War’s S&D in the future.

Answer:

√(4 - ( - 3))^2 + (2 - 1)^2

√(4 + 3)^2 + (2 - 1)^2

√49 + 1

√50

7.07 = 7.1 units

Answer:

112 in.³

Step-by-step explanation:

This box is a combination of two rectangular prisms:

bottom - 9 in. by 2 in. by 4 in.

top - 5 in. by 2 in. by 4 in.

total volume = 9 in. × 2 in. × 4 in. + 5 in. × 2 in. × 4 in.

total volume = 112 in.³

Answer:

its 112

Step-by-step explanation:

first see how it looks like 2 boxes on top of each other, break it into major parts then multiply depth by wighth by highth

Answer:

the answer is 34.

Step-by-step explanation:

Given :-

To find :-

Solution :-

Let us assume the distance between A and B be x and the initial speed by y . After 20% increase in the speed , new speed will be ,

[tex]\blue{\dashrightarrow} [/tex] Speed = 120y/100

[tex]\blue{\dashrightarrow} [/tex] Speed = 6/5y

• According to the Question ,

[tex]\red{\dashrightarrow} [/tex] Distance = Speed * Time

[tex]\blue{\dashrightarrow} [/tex] x = y * 3 hrs

[tex]\red{\dashrightarrow} [/tex] x = 3y

And ,

[tex]\blue{\dashrightarrow} [/tex] t = Distance/Speed

[tex]\red{\dashrightarrow} [/tex] t = x ÷ (6y/5)

[tex]\blue{\dashrightarrow} [/tex] t = 5x/6y

[tex]\red{\dashrightarrow} [/tex] t = 5 (3y)/6y

[tex]\blue{\dashrightarrow} [/tex] t = 5/2 hrs

[tex]\red{\dashrightarrow} [/tex] t = 2.5 hrs

Hence now it will take 2.5 hrs to go from A to B .

Answer:

Step-by-step explanation:

Let's say the distance between A and B is 3 miles (3, because I see a need to divide the distance by 3 hours to determine the car's speed).  The actual distance makes no difference in the answer, since it is asking for a relative speed change (20%).

We find the speed to be 3 miles/3 hours, or 1 mph.  A 20% increase in speed would be (1.20)(1) = 1.20 mph.

We can find the time for a 1.2 mph car to go 3 miles by:

(3 miles)/(1.2 mph) = 2.5 hours

=====

[Note that if we assumed a different distance, say 6 miles, we'd get the same result:

6 miles/3 hours = 2 mph

1.2*2 = 2.4 mph

New time = 6/2.4 = 2.5 hours; same as before]

Step-by-step explanation:

of course, we have to use Pythagoras.

c² = a² + b²

c is the Hypotenuse = the side opposite of the 90° angle.

and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?

I don't know from the description.

let's see what we get one way or the other :

assumption : the known sides are the "legs".

c² = 9² + 12² = 81 + 144 = 225

c = 15 ft

that is a nice number. so, it looks like that was the intention.

just to be sure, here also the other options :

9² = 12² + side²

81 = 144 + side² that makes side² negative, so, not valid.

12² = 9² + side²

144 = 81 + side²

63 = side²

side = sqrt(63) this is not a nice round number, so, we go with the first option.

therefore, the 3 sides are

9 ft, 12 ft, 15 ft

perimeter = 9+12+15 = 36 ft

area = baseline×height/2

since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.

area = 9×12/2 = 9×6 = 54 ft²

Answer:

5220

Step-by-step explanation:

1- 20x36/2 is 360

(360 x 2 is 720)

2. 25x50 is 1250

3. 29x50 is 1450

4. 36x50 is 1800

720+1250+1450+1800 is 5220

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

[tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

[tex]30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y[/tex]

so the equation would be [tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

[tex]y=\frac{-7}{5} x+79[/tex] is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

[tex]30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y[/tex]

so the equation would be [tex]y=\frac{-7}{5} x+79[/tex]

Answer:

X = 2.75 or 2 3/4 in fraction form

Step-by-step explanation:

We know that the variable X has to make both equations equal.

It is really just crossing out the options.

2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.

So the answer is 2.75

Hope this helps! :)

૮ ・ﻌ・ა

Answer:

Choice B) experimental probability is larger

Step-by-step explanation:

There are 3 odd numbers (1,3,5) out of 6 total (1,2,3,4,5,6) on the number cube. So theoretically, the chances of rolling an odd number are 3/6 = 1/2 = 0.5

When we do the experiment, we roll an odd number 325 times out of 500 trials total. So the experimental probability is 325/500 = 0.65

Comparing the results of 0.5 and 0.65, we see that 0.65 is larger. So the experimental probability is larger.

Note: with a large number of trials, the experimental probability should get closer and closer to the theoretical probability. This is assuming that all trials are independent of one another and the number cube is properly weighted.

Answer:

1: greater than

2: 0.5

3: 59%

Step-by-step explanation:

I took the test and here is da proof:

{I left it blank on purpose so other can see the right answer (: }

The third ordered pair that satisfy the given equation is (123, 369).

The given parameters;

The third ordered pair of the equation can be determined by using general equation of a circle;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The radius of the circle is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the third ordered pair that satisfy the given equation is (123, 369).

Learn more about equation of circle here: https://brainly.com/question/1506955

Answer:

Finally, Juno and her satellite were able to return home to her family.

Step-by-step explanation:

Answer:

Finally, Juno and her satellite were able to return home to her family

Step-by-step explanation:

Answer:

[tex]2916^3\\[/tex]

Step-by-step explanation:

As the formula is [tex]\frac{4}{3}\pi \cdot r^3[/tex]

But we take [tex]\pi[/tex] as 3 so it would be [tex]\frac{4}{3}3\cdot r^3[/tex]

And the radius is 9 half of Diameter

We would write it like this

=  [tex]\frac{4}{3}3\cdot 9^3[/tex]

Then when we solve it would become [tex]2916^3\\[/tex]

I hope this helps :)

Answer:

Step-by-step explanation:

2x - 8y = - 18

    - 8y = - 2x - 18

         y = ¼x + 2¼

y intercept occurs when x = 0, so b = 2¼  (0, 2¼)

x intercept occurs when y = 0

0 = ¼x + 2¼

¼x = - 2¼

  x = -9     (-9, 0)  

[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]

Step-by-step explanation:

and what is function 2 ?

but I think I can risk a guess based on the little piece of the graph I can see.

the y-intercept is simply the point on the y-axis (that means x=0), where the line crosses.

in other words, it is the y-value when x = 0.

the y-intercept of function 1 is therefore -5.

and the picture suggests that the visible line would cross the y-axis at about y=-6.

as -5 is greater than -6, function 1 has the greater y-intercept.

answer

TRUE

HOPE IT WILL HELP YOU

Answer:

To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point

Step-by-step explanation:

[tex] \: \: \: \: [/tex]

Step-by-step explanation:

Male ratio: 204:306 = 2:3 (66%)

Female ratio: 180:420 = 3:7 (42%)

Hope that helps

Answer:

both are non smokers is 0.48.

Answer:

what is the value of the 6 in 26,249?

answer:321305

Step-by-step explanation:

Answer:

JL = 11 units

Step-by-step explanation:

Add the units between JK and KL together to get the answer for JL

Answer:

...

Step-by-step explanation:

Answer:

I would say B

Step-by-step explanation:

I'm sorry, I don't have an explanation

The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.

It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.

It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.

Given that Mean = μ = 64.4 inches

Standard Deviation = σ = 2.3 inches

We have to find the standard score for players height;

So, Let x = 75% = 0.75

Therefore the formula for z-score is:

x - mean / S.D

0.75 = x - 71.5/2.3

x = 76.10

Rounding off to nearest hundredth

z-score = 76.1

Hence, The middle 75% of all NFL players have heights between in

(A) 68.9 inches to 76.1 inches.

Learn more about z-score at:

brainly.com/question/10940255

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