Your roommate asks to borrow $500 and agrees to pay it in 45 days with interest rate of 4%. How much interest will you earn?

Step-by-step explanation:

The sum of an infinite geometric series is expressed according to the formula;

a 1 r where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as

S∞ = 3a

Substitute S = 3a into the formula above to get the common ratio r;

a

3a 1-r

cross multiply

3a(1-r) = a

3(1-r) = 1

open the parenthesis

3- 3r 1

subtract 3 from both sides

33r31-3

-3r = -2

2|3 r =

Hence the common ratio of this series is 2 upon 3

= 2\3

https ://www. you tube.com/chan nel/UCRg4zCv6 o93Nxiidwv kQnoA

Answer:  36°  and 54°

Step-by-step explanation:

Let the larger angle be 'R' and the smaller angle 'q'

⇒       R + q = 90     [since complementary angles have a sum of 90°]

Then  R - q = 18   [since 1 of 2 complementary angles is 18 less than other]

We can combine the equation

(18 + q) + q = 90

     18 + 2q = 90

            2q = 72

               q = 36

We can solve for R

             R - 36 = 18

                    q = 36 + 18

                    q = 54

Step-by-step explanation:

1. y--7=-2(x-0)

y+7=-2x

y=-2x-7

2. y--3=-2(x-1)

y+3=-2x+2

y=-2x+2-3

y=-2x-1

Answer:

yep ur welcome

Step-by-step explanation:

2s+2105-5s=1224

-3s=-881

s=-881/-3

s=294

a=421-294

a=127

Answer:

Student tickets: 287

Adult tickets: 134

Step-by-step explanation:

Students: x

Adults: y

a) x + y = 421

b) 2x + 5y = 1,244

a) x = 421 - y

b) 2 (421 - y) + 5y = 1,244 (substitution)

842 - 2y + 5y = 1244

3y = 1244 - 842

y = 402/3

y = 134 adult tickets

421 - 134 = 287 student tickets

Answer:

72

Step-by-step explanation:

We will first have to find the fraction of the whole land goats use. If we add 2/5 and 1/4, we will get 13/20. Simplifying the expression 1-13/20 gets 7/20, which is the total fraction of land the goat and sheep has. The goat will then get 7/20*1/7 of the whole land, which is 1/20. The sheep will then get 7/20*6/7 of the entire land, which is 3/10. Because 1/20 of the whole land is 12 acres, the farmer has 240 acres. SImplifying the expression 240*3/10 gets 72 acres

Answer:

see explanation

Step-by-step explanation:

The solutions to the system of equations is at the point of intersection of the 2 lines.

(3, - 4 ) ← first one

(- 1, 4 ) ← second one

(3, - 3 ) ← third one

(3, 4 ) ← fourth one

Answer:

Step-by-step explanation:

Count the numbers within the circle B, which represents the brakes.

9514 1404 393

Answer:

  20

Step-by-step explanation:

The total with defective brakes is the total of all of the numbers inside the circle marked B.

  7 + 6 + 4 + 3 = 20

20 cars had defective brakes.

_____

Additional comment

This diagram is called a Venn diagram. Each circle represents a specific condition. Where circles overlap, the area of overlap represents all of the conditions represented by the overlapping circles. For example, 6 cars had both defective brakes and lights (but not defective tires).

Answer:

g-13=48

Step-by-step explanation:

Answer:

it would be []-[]

Step-by-step explanation:

I say this b/c you take g-13 to get 48 may I have brainliest

Answer:

No Solution

Step-by-step explanation:

1) Use the rule: a/b x c = ac/b.

2 x 8/3 = 5

2) Simplify 2 x 8 to 16.

16/3 = 5

3) Since 16/3 = 5 is false, there is no solution.

No Solution

Answer:

The volume of a cone is given by the formula V=\frac{1}{3} \pi r^{2} hV=

3

1

πr

2

h

If we plug in the known information into the formula, we will get the answer.

d=2.75 ind=2.75in

We know radius is half of d, so r=0.5*2.75=1.375 inr=0.5∗2.75=1.375in

The height is given as 4 in.

Pluggin all of these in the original formula gives us:

V=\frac{1}{3} \pi (1.375)^{2} (4)=7.919 cubic inchesV=

3

1

π(1.375)

2

(4)=7.919cubicinches

Rounded to the nearest tenth, our final answer is:

V=7.9 cubic inches

Step-by-step explanation:

Read carefully hopefully it helps take care

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The Correct choice is :

D. Both ll and lll

Step-by-step explanation:

given,

total members in grp = 20

no. of boys = 7

no. of girls = 20 - 7 = 13

so,

the ratio of girls to boys is = 13:7

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

The equation is y= 0,65 x

If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately  pays (y) is  the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.

The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).

Step-by-step explanation:

The price without discount (or without the coupon) is x.

The price with discount (or with coupon) is y.

y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.

Answer:

0.85x

Step-by-step explanation:

Not what the guy on the top said.

Answer:

C ) 1/3

Step-by-step explanation:

In the given equation, y = 1/3x, where it represents a proportional relationship:

1/3 represents the constant of proportionality which shows that as x increases, y also increases at the same rate. The constant of proportionality in this given instance is also the rate of change, or the slope.

The constant of proportionality under the direct proportion condition is the slope of the line when plotted for two proportional constants x and y on a graph.

Therefore, the correct answer is C) 1/3.

Answer:

Q1: 250

Q2: 50

Step-by-step explanation:

Q1: 14,000 + 160x = 24,000 - 200x

24,000 - 14,000 = 10,000

200x - 160x = 40x

10,000/40x = 250

Q2: 800 - 6x = 1,000 - 10x

1,000 - 800 = 200

10x - 6x = 4x

200/4x = 50

Answer:

(-3,0)=(x1,y1)

slope=m=-1/3

the equation of the line is

y-y1=m(x-x1)

y-0=1/3(x-(-3))

y   =1/3(x+3)                                        (-- is + at right side)

y   =1/3*x + 1/3*3

y   =1/3 x   +1                                        (3 has been canceled from the right side)

Step-by-step explanation:

Answer:

Domain: (-∞, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

Given the linear function, x + 10 = y,

Its domain is the set of all real numbers, as represented in the interval notation, (-∞, ∞).

The same goes with range, the set of all real numbers, as represented in the interval notation, (-∞, ∞).

Answer:

b1= 2A/h - b2

Step-by-step explanation:

You have to multiply each side by 2, then divide each side by h. after that you subtract b1 from both sides and then you will get your answer.

Answer:

b1 = 2A / h - b2

Step-by-step explanation:

A = h(b1 + b2) / 2

[cross multiply]

h(b1 + b2) = A × 2

b1h + b2h = 2A

[divide both sides of the equation by h]

b1h / h + b2h / h = 2A / h

b1 + b2 = 2A / h

[make b1 the subject of the formula]

b1 = 2A / h - b2

Answer:

A

Step-by-step explanation:

just did it :)

The statement that best describes how ultrasound can produce an image is sound waves that form outside the body reflect off the body and are detected by the machine.

Diagnostic ultrasound, also called sonography or diagnostic medical sonography, is an imaging method that uses sound waves to produce images of structures within your body.

We have some statements that describes how ultrasound can produce an image.

The ultrasound image is produced based on the reflection of the waves off of the body structures. The strength (amplitude) of the sound signal and the time it takes for the wave to travel through the body to provide the information necessary to produce an image.

Therefore, the statement that best describes how ultrasound can produce an image is sound waves that form outside the body reflect off the body and are detected by the machine.

To solve more questions on sound waves, visit the link below -

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Answer:

A candy bar costs $0.80

A bag of chips costs $6.20

Step-by-step explanation:

Let's call candy bars x, and bags of chips y.

Ruben ought 2x and 4y for $24

Lucis bought 2x and 2y for $14

This means that 2x+4y = 24 and 2x+2y = 14

Now we have a system of equations that we can solve.

2x + 2y = 14

2(x + y) = 14

x + y = 7

y = 7 - x

Plug this into the next equation to get:

2x + 4y = 24

2x + 4(7 - x) = 24

2x + 28 - 7x = 24

28 - 5x = 24

-5x = -4

x = -4/-5

x = 4/5 = 0.8

plug that x value into y = 7 - x to find y

y = 7 - x

y = 7 - (4/5)

y = 245/35 - 28/35

y = 217/35 = 6.2

now we can check our work:

2(x + y) = 14

2(6.2 + 0.8) = 14

2(7) = 14

14 = 14

^ this means our values are correct

Answer:

A candy bar costs $0.80

A bag of chips costs $6.20

Answer:

47 hours

Step-by-step explanation:

564/12 = 47

Answer:

47 hours

Step-by-step explanation:

564÷12.00= 47

Answer:

The answer is A

Step-by-step explanation:

If you solve the equation, you get x is less than or equal to -2. Since -1 is the only number that doesn't satisfy this inequality, A is the answer.

Answer:

3x - 5 > 4x - 3

-1 is the answer (A)

Step-by-step explanation:

Answer: Slope: 2/3

Plug the equation into y2 - y1 / x2 - x1 and you should have the answer!

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Let the height of rectangle be = x,

Area of rectangle = base × height

so, there are two cases now,

Case - 1 :

here, value of x (length) is negative, measure of length can't be negative, so length is not equal to -4/3

Case - 2 :

here, value of x = 4, and satisfys the condition so

The rectangle's height is 4 inches and the rectangle's base is also 4 inches.

Let's assume the height of the rectangle is 'h' inches.

According to the given information, the base of the rectangle is 8 inches shorter than three times its height. This can be expressed as:

Base = 3h - 8

The area of a rectangle is given by the formula:

Area = Length * Width

In this case, the area is given as 16 square inches. We can set up the following equation:

16 = h * (3h - 8)

Expanding the equation:

[tex]16 = 3h^2 - 8h[/tex]

Setting the equation equal to zero:

[tex]3h^2 - 8h - 16 = 0[/tex]

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:

[tex]h = (-b \± \sqrt{b^2 - 4ac}) / (2a)[/tex]

For this equation, a = 3, b = -8, and c = -16. Plugging in the values:

[tex]h = (-(-8) \± \sqrt{(-8)^2 - 4 * 3 * (-16)}) / (2 * 3)\\\\h = (8 \± \sqrt{64 + 192}) / 6\\\\h = (8 \± \sqrt{256}) / 6\\\\h = (8 \± 16) / 6[/tex]

We have two possible values for h:

h₁ = (8 + 16) / 6 = 4

h₂ = (8 - 16) / 6 = -1

Since the height of a rectangle cannot be negative, we can discard the value h₂ = -1.

Therefore, the rectangle's height is 4 inches.

Now, we can find the base of the rectangle:

Base = 3h - 8

Base = 3 * 4 - 8

Base = 12 - 8

Base = 4

Therefore, the rectangle's base is also 4 inches.

To know more about height, refer here:

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You can use GP in many ways.

Answer:

• Geometric progression is applied in many ways namely;

[tex].[/tex]

Answer:

The answer is differently C

Answer:

8x^6

Step-by-step explanation:

Answer:

0.3 is closer to 5

Step-by-step explanation:

0.3 is 0.3 away from 0 and 0.2 away from 5.

0.2<0.3