Xavier opened a savings account with a deposit of $12,000.

The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?


0.9%

1.8%

2.7%

3.6%

Answer:

Vertical angles

Step-by-step explanation:

Have a nice day:)

Answer: 76.27 in squared

Step-by-step explanation:

Area of a rectangle: l x w

Area of a circle: (pi)r^2

Rectangle dimensions: 6 x (14-6)= 6 x 8

Circle: r=6

Add the area of the rectangle to the area of a quarter of the circle (Bc that’s all that’s there)

(6 x 8) + (1/4)(pi)6^2

=48+(1/4)(pi)(36)

=48+9(pi) or approximately 76.27 in squared

Answer:

Step-by-step explanation:

Both Px + Qy = R and Tx + Uy = V have the same solution (2, 9), meaning the point (2, 9) lies on both lines such that x = 2 and y = 9 makes both equations true.

When you add these equations together, you get

(Px + Qy) + (Tx + Uy) = R + V

→   (P + T ) x + (Q + U ) y = R + V

so the first option is equivalent.

When you subtract the first equation from the second, you get

(Tx + Uy) - (Px + Qy) = V - R

→   (T - P) x + (U - Q) y = V - R

so the third option is also equivalent.

Answer:

A-$1.69

Step-by-step explanation:

45% of 3.75 is 1.6875

1.6875 needs to be rounded to the nearest hundredth

So it would make 1.68

Answer:

2.05

Step-by-step explanation:

x/3.75=45/100 cross multiply. x= about $1.7 but that's not the answer. to find the amount a gallon of milk costs, subtract 3.75 by 1.7, which gives you 2.05.

Answer:

y = 15 m<a = 78 m<b = 68

Step-by-step explanation:

(5y+3) + (4y+8) --> 9y + 11

9y + 11 = 146

y = 15

plug in 15 into the equations for the angles and you get

m<a = 78

m<b = 68

Answer:

x=12, y=4

Step-by-step explanation:

All the sides are the same length.

3x+y = 40

4x-2y = 40

Eliminate y terms: divide second equation by 2 and add to first equation

2x-y = 20

3x+y = 40

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

5x = 60

x = 12

y = 40-3x = 4

Answer:

We know that all sides of the equilateral triangle is equal.

Given :---

An equilateral triangle has a side length of 40.

Another side of the same triangle measures

3x + y.

The third side of the same triangle measures

4x - 2y.

According to the above problem, the equation are

3x+y=40........(i) and 4x-2y=40.........(ii)

Divide the equation (ii) by 2, we get

2x-y=20..........(iii)

Now solving for x and y we get,

3x+y=40.......(i)

2x-y=20........(iii)

5x =60

x=60/5

x=12

Putting the value of x in equation in equation (iii) we get

24-y=20

y=24-20

y=4

The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.

Answer:

[tex]P_D=61.1*10^{-4}[/tex]

[tex]R_r=480[/tex]

Step-by-step explanation:

From the question we are told that

Homicide rate in US [tex]R_U=62.4\ per\ one\ million[/tex]

Homicide rate in Britain [tex]R_B=1.3\ per\ one\ million[/tex]

Generally the equation for probability of homicide is mathematically given as

[tex]P=\frac{R}{10^6}[/tex]

Generally the equation for probability of homicide in US is mathematically given as

[tex]P_U=\frac{62.4}{10^6}[/tex]

[tex]P_U=62.4*10^{-4}[/tex]

Generally the equation for probability of homicide in Britain is mathematically given as

[tex]P_B=\frac{1.3}{10^6}[/tex]

[tex]P_B=1.3*10^{-5}[/tex]

a)Generally the difference b/w the probabilities P_D is mathematically given as

[tex]P_D=P_U-P_B[/tex]

[tex]P_D=62.4*10^{-4}-1.3*10^{-5}[/tex]

[tex]P_D=61.1*10^{-4}[/tex]

Therefore US annual homicide is [tex]P_D=61.1*10^{-4}[/tex] greater than Britain's

b)Generally the Relative risk is R_r is mathematically given as

[tex]R_r=\frac{P_U}{P_B}[/tex]

[tex]R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}[/tex]

[tex]R_r=480[/tex]

Answer:

6,500

Step-by-step explanation:

5000x.03=150

150=3%

150x10=1500

1,500+5,000= 6,500

Answer:

68F

Step-by-step explanation:

Given data

The formula F = 1.8C + 32

we want to find F for C= 20°C

Substitute into the formula we have'

F = 1.8(20) + 32

F=36+32

F=68

Hence the value of 20°C in Fahrenheit is 68F

Answer:

use the calculator by doing this types of question

Answer:

48395590593

Step-by-step explanation:

calculator

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

[tex]R = -400x^{2} +7200x+70000[/tex]

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

How the variable [tex]x[/tex] represents the price increase, we can do the formula below:

In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:

We operate the values:

Solve we can:

And organize:

At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:

Answer:

Step-by-step explanation:

Corresponding sides have same ratio

Q18

Q19

Q21

Answer:  10

Step-by-step explanation:  

(5 x 18) / 9 = 90/9 = 10

Answer:

Step-by-step explanation:

Answer:

all of it. because he ate 3/4 and she ate 1/4

Answer:4/4 of the apple

Step-by-step explanation: Ben ate  3/4 of the apple and Irene ate 1/4 parts of the apple what is 1 + 3 =4 and there are 4 part of the apple so 4 is how much they ate and 4 is how much there is to eat so it would be 4/4

(sorry if this does'nt help)

Answer:

g=15.04

Step-by-step explanation:

g=4.7×3.2=15.04

Answer:

g/=15.03

Step-by-step explanation:

i hope it's correct in sorry if not

Answer:

[tex]R(x) = - 16x^2+2392x + 1200[/tex]

Step-by-step explanation:

Given

[tex]d(x) = 1200 - 8x[/tex]

[tex]p(x) = 2x + 1[/tex]

Required

Find R(x)

We have that:

[tex]R(x) = d(x).p(x)[/tex]

This gives:

[tex]R(x) = (1200 - 8x) * (2x + 1)[/tex]

Expand

[tex]R(x) = 1200* (2x + 1) - 8x* (2x + 1)[/tex]

Open brackets

[tex]R(x) = 2400x + 1200 - 16x^2 -8x[/tex]

Collect Like Terms

[tex]R(x) = - 16x^2 -8x+2400x + 1200[/tex]

[tex]R(x) = - 16x^2+2392x + 1200[/tex]

Answer:

x=13

i accadently put 36, but you can still see how it happend

Step-by-step explanation:

Think bout brainliest thank you

Point-slope formula: y-y1=m(x-x1)

To fill it in, m is our slope, 1/4. y1 is -8 and x1 is -1.

y+8= 1/4(x+1) This is the formula filled in. If you noticed, the (-) signs that were in the formula changed to (+). This is because (- -) can be changed into (+).

y+8=1/4x+0.25

y=1/4x+8.25

Your answer is y=1/4x+8.25

I hope this was helpful :) please consider giving me brainliest

Answer:

XZ=51

Step-by-step explanation:

In∆ LMN,

Perimeter = 72+52+68

=192

And using similar triangles, XY is similar to MN

MN/Perimeter of LMN= XY/Perimeter of XYZ

68/192=XZ/144

XZ=[144×68]/192

XZ=51

The length of XZ is 51 units.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

Perimeter of YXZ is 144

So, In∆ LMN,

Perimeter = 72+52+68

                 =192

We know that both triangles are similar.

So, , XY is similar to MN

MN/Perimeter of LMN= XY/Perimeter of XYZ

68/192=XZ/144

XZ=[144×68]/192

XZ=51 unit

Hence, the length of XZ is 51 units.

Learn more about similarity here:

https://brainly.com/question/26451866

#SPJ2

Step-by-step explanation:

(-2/6)+(24-1/6)

-2+23/6

21/6

Answer:

The distance between them is 180 units

Step-by-step explanation:

Given

[tex]a = 88[/tex]

[tex]b = -92[/tex]

Required

Using absolute value, calculate the distance between them

The distance d is calculated as:

[tex]d = |b - a|[/tex]

Substitute values for a and b

[tex]d = |-92 - 88|[/tex]

[tex]d = |-180|[/tex]

[tex]d = 180[/tex]

It can also be calculated using:

[tex]d = |a - b|[/tex]

Substitute values for a and b

[tex]d = |88 - (-92)|[/tex]

Open bracket

[tex]d = |88 +92|[/tex]

[tex]d = |180|[/tex]

[tex]d = 180[/tex]

Answer:

3 times 30 miles and 4 times 40 miles

Step-by-step explanation:

Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Travis is planning to ride at a constant speed during an upcoming bike trip.

This implies that the slope of the graph will be a constant.

So the graph will be a straight line.

We have two points on the graph (1, 10) and (2, 20).

The starting point will be (0, 0).

Slope = (20 - 10) / (2 - 1) = 10

So the equation of the line is y = 10x.

When x = 3 hours, y = 30 miles

When x = 4 hours, y = 40 miles

Hence the points has to be marked at (3, 30) and (4, 40).

Learn more about Speed and Slope here :

https://brainly.com/question/13281781

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The complete question with the graph is given below.

Answer:

True

Step-by-step explanation:

Let's say the slope of an equation is 3/2. You move the point by moving it up by three and moving it to the right by two or moving it down by 3 and moving it to the left by two.

If the equation was - 3/2. You would move the point by moving it up by three and moving it to the left by two or moving it down by three and moving it the right by two.

Answer:

y=25,000(0.07)^t

Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.

9514 1404 393

Answer:

  108

Step-by-step explanation:

The circumference of a circle is given by ...

  C = 2πr

The circle shown has a radius of 9 in, so the circumference is ...

  C = 2π(9 in) = 18π in

__

When the circle is dilated by a factor of 6, the circumference is multiplied by 6. It becomes ...

  dilated C = 6(18π in) = 108π in

The multiplier of π inches is n = 108.

Answer:

can u show me which following?

Step-by-step explanation:

show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;

Answer:

W = 3

Step-by-step explanation:

7W + 3 = 5W + 9.

Get all the varibles onto one side, and get all the integers onto the other side, we get:

7W - 5W = 9 - 3.

Simplifing, we get:

2W = 6

W = 3.

Answer:

7 to 10 or 70%

Step-by-step explanation: