At what rate percent per annum, will $4000 yield an interest of $780 in 18 months (simple interest)?​

Answers

Answer 1

Answer:

13%

Step-by-step explanation:

780 interest/18 months=43.33 interest/month

43.33x12=520 interest/year

principal x interest rate = interest per year

4000 x interest rate =520

interest rate =520/4000

interest rate =.13 or 13%


Related Questions

What is the range of the given function?

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

A {x | x = –5, –4, –2, 0, 2}
B {y | y = –9, –3, 0, 5, 7}
C {x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
D {y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Answers

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

What is the range of the given function?(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)

[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]

A {x | x = –5, –4, –2, 0, 2}

B {y | y = –9, –3, 0, 5, 7}

C {x | x = –9,–5,–4,–3,–2,0,2,5,7}

D {y | y = –9,–5,–4,–3,–2,0,2,5,7}

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex] \quad \quad \underline{ \boxed{\sf{ \red{ B.)\: {y | y = –9, –3, 0, 5, 7} }} }}[/tex]

What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

The definition means:

The range is the resulting y-values we get after substituting all the possible x-values.

How to find the range?

The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)Make sure you look for minimum and maximum values of y.

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

A number x cubed is six

Answers

Answer:

x = 1.817

Step-by-step explanation:

[tex]x^3 = 6\\\sqrt[3]{x} = \sqrt[3]{6} \\x = 1.817[/tex]

Please solve with explanation.

Answers

Answer:

Area = 160 cm²

Perimeter = 55.31 cm

Step-by-step explanation:

Applying,

Area of the figure = area of the rectangle- area of the triangle

A = lw+bh/2............... Equation 1

From the question,

Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm

Substitute these values into equation 1

A = (16×12)-(8×8/2)

A = 192-32

A = 160 cm²

Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/

Applying pythagoras theorem to get /FG/

FG² = GE²+EF²

FG² = 8²+8²

FG² = 64+64

FG² = 128

FG = √128

FG = 11.31 cm

Therefore,

P = 16+12+4+8+11.31+4

P = 55.31 cm

TRUE or FALSE?

1.) If x = -3, then the value of 4x + 5 is 17.

Answers

I think it's false

I hope it's helpfull for you

Answer:

true

Step-by-step explanation:

[tex]dahil \: alam \: ko \: \: masagutan \: ko \: mayn[/tex]

Please help me out this is hard .

Answers

Answer:

24.6

Step-by-step explanation:

take 72 degree as reference angle

using tan rule

tan 72 = opposite / adjacent

3.07 = x/8

3.07 * 8 = x

24.56 = x

24.6 = x

Hey I need help with this new concept. Could someone help me out? I would prefer an explanation for one of the shapes if possible. Thanks!

Answers

Answer:

Step-by-step explanation:

set the equation for the area equal to the equation of the perimeter.

Then solve for x

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

Figure a

area = perimeter

3x = 2(x + 3)

Distribute

3x = 2x + 6

subtract 2x from both sides

x = 6

perimeter

p = 2(x + 6)

p = 2(3 + 63)

p = 18

Area

a = 3x

a = 3*6

a = 18

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

Use the same method on the remaining figures

Can someone please answer these 2 questions​

Answers

Answer:

part 1: $532.95. Part 2: 16

Step-by-step explanation:

Part 1: 15 * 15.35 = 230.25

30 * 10.09 = 302.70

230.25 + 302.70 = $532.95

Part 2: R = letters in the word desk

there are 4 letters in the word Desk

[tex]2^{R}[/tex] = [tex]2^{4}[/tex] = 2 * 2 * 2 * 2 = 4 * 4 = 16 subsets

Question 24 of 25 The graph of F(x) shown below resembles the graph of G(X) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)? G(X) = x2 Fx) = ?​

Answers

Answer:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!;;;;!!!!!!!!!!!

The required equation of graph f(x) is y = -x²-3.

What is parabola?

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

here, we have,

Given that,

The graph of f(x), resembles the graph of G(x) =x^2 .

We have to find,

Which of the following could be the equation of  f(x).

According to the question,

Function, G(X) = x^2 ,

The graph in the given question figure. It is a parabola with vertex at (0,0).

By the graph predict that Sign of  x^2 is positive, that is why the parabola opens up.

General equation of parabola is given by,

y = a(x-h)^2 + k

Where, a = 1, and vertex (h, k) is (0,0).

The graph of F(x) unknown function opens down ,

Sign of x^2 as negative. and the vertex is at (0,-3)

To find the equation of function f(x),

Putting the values of a and vertex coordinates,

y = a(x-h)^2 + k

The equation of parabola become:

y = -x²-3.

(solving we get)

Hence, The required equation of f(x) is y = -x²-3.

For more information about Parabola click the link given below.

brainly.com/question/4074088

#SPJ7

Can someone explain to me how this is wrong at all? I did the math like 10 times and somehow its wrong...? please lmk what the actual answer is because apparently im just incompetent

Also giving Brainliest

Answers

Answer:

total= 98

Step-by-step explanation:

so the way to do this is to find the total surface area of the white bench and then subtract the interfacing portion for the support, and then total surface area of support and also subract the area of the interface with the white as well as the ground

bench top area

area of long side *number of sides + area of end *number of ends

(9*2)*4+(2*2)*2= 72+8=80

interface area is area of long side of red portion

5*2=10

support area is same as bench top for rationale

(5*2)*4+(2*2)=40+8=44

total surface area = area of white + area of red - 2* interface area - bottom of red that interfaces with the ground

total = 80+48-2*10-(5*2)

total = 128-20-10

total= 98

Answer the questions for BRAINLIEST (EASY)

A.
B.
C.

Answers

Answer:

A=x-3

B=X-14

C=X-10

A to finalize you question and help

In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm.
Find the area of triangle ABC.

Answers

Answer:

Area = 42.43 square cm

Step-by-step explanation:

Using Heron's Formula :

 [tex]Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}[/tex]

Find Area :

[tex]s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15[/tex]

[tex]Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\[/tex]

      [tex]= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}[/tex]

      [tex]= 42 . 43 \ cm^2[/tex]

Can someone answer this plz

Answers

Answer:

[tex]A^{I}[/tex]= (7, -1)

Step-by-step explanation:

Rotation is a method of rigid transformation in which a point is moved about a reference point through a stated angle. The rotation could be clockwise or counterclockwise so as to produce the image of the initial object.

In the polar coordinate given, the coordinate of A is given as;

A = (3, 3)

On rotating point A about point C counterclockwise for [tex]270^{o}[/tex], an image [tex]A^{I}[/tex] would be produced.  

But [tex]A^{I}[/tex] would have a coordinate;

[tex]A^{I}[/tex]= (7, -1)

The image of A produced is [tex]A^{I}[/tex] (7, -1).

Question 2 Multiple Choice Worth 5 points)
(02.04 LC)
Determine the equation of the line shown in the graph

Answer choices
X= 5
y = 0
x = 0
y = 5

Answers

Answer:

A

Step-by-step explanation:

The line is parallel to y axis, so the equation is x = 5

How many miles did it cruise?

Answers

The 120 is the correct one A

Answer:

A. 120

Step-by-step explanation:

600÷60=10

10×12=120

Hope this helps! :)

Instructions: Using the image, find the distance between the points given on the graph.

Answers

7 units or squares or whatever unit this is

The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle.

Answers

2(5x+4)= 10x+8 ,

I might be wrong but tried my best so best of wishes!

Please help I’ll give brainllist

Answers

Answer:

TRUE

Step-by-step explanation:

TRUE

Answer:

true i think

Step-by-step explanation:

If triangle LMN ~ triangle PON, what is MN?


Answers

Answer:

pretty sure its 40cm

Step-by-step explanation:

hope this helps :)

Answer:

36cm

Step-by-step explanation:

Tan(14/12)=angle of ONP

Tan(42/X)=angle of LNM

singe those angels are the same;

Tan(14/12)=Tan(42/X)

14/12=42/X

14*X=42*12

X=(42*12)/14

X=36

This is the last question from my hw

Answers

Answer:

m = 9, n = 2

Step-by-step explanation:

Find [tex]f^{-1}[/tex] (x) by letting y = f(x) and rearranging making x the subject, that is

y = mx + n ( subtract n from both sides )

y - n = mx ( divide both sides by m )

[tex]\frac{y-n}{m}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-n}{m}[/tex]

Given [tex]f^{-1}[/tex] (x) = g(x) , then

[tex]\frac{x-n}{m}[/tex] = [tex]\frac{x-2}{9}[/tex]

By comparison of the 2 sides

m = 9 and n = 2

In the diagram AB is parallel to CD. Calculate the value of A ?

Answers

The image of the diagram is missing, so i have attached it.

Answer:

a = 30°

Step-by-step explanation:

From the diagram attached, we can see that the 2 angles a and 5a are interior supplementary angles.

The sum of interior supplementary angles is 180°

Thus;

5a + a = 180

6a = 180

a = 180/6

a = 30°

a trader sold an article at 10% profit if he had sold it at 10% loss,it would yield RS 140 less than the previous selling price.find the cost price of the article.​

Answers

Answer:

CP = ₹ 700

Step-by-step explanation:

Let the cost price be 'x'

SP = [tex](\frac{100+Profit}{100})*CP[/tex]

   [tex]= \frac{100+10}{100}*x\\\\=\frac{110}{100}*x\\\\= \frac{11}{10}x[/tex]

If it had been sold are 10% loss, then

SP = [tex](\frac{100-loss}{100})*CP[/tex]

     [tex]=\frac{100-10}{100}*x\\\\=\frac{90}{100}*x\\\\=\frac{9}{10}x[/tex]

Difference in both the selling price =  140

[tex]\frac{11}{10}x-\frac{9}{10}x=140\\\\\\\frac{2}{10}x=140\\\\\frac{1}{5}x=140\\\\ x = 140*5\\x = 700[/tex]

what is the domain of the function represented by the graph

Answers

Answer:

Domain:  all real numbers

Step-by-step explanation:

The domain is the values that x can take

X can be any real number

Domain:  all real numbers

Write and solve a real-world problem that involves finding the volume of a rectangular or triangular prism

Answers

Answer:

l

Step-by-step explanation:

Davis's Snacks will make 8,412 ounces of corn chips next year. The company plans to put the chips into 4-ounce bags. How many bags will the company be able to fill next year?

Answers

Answer:

2103 bags

Step-by-step explanation:

8412/4=2103

Write the equation of the line that passes through points A(6,1) and B(9,4)? simple answers

Answers

Given:

Two points are A(6,1) and B(9,4).

To find:

The equation of the line that passes through the given points.

Solution:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that the line passes through the two points A(6,1) and B(9,4). So, the equation of the line is:

[tex]y-1=\dfrac{4-1}{9-6}(x-6)[/tex]

[tex]y-1=\dfrac{3}{3}(x-6)[/tex]

[tex]y-1=1(x-6)[/tex]

[tex]y-1=x-6[/tex]

Adding 1 on both sides, we get

[tex]y-1+1=x-6+1[/tex]

[tex]y=x-5[/tex]

Therefore, the equation of the line is [tex]y=x-5[/tex].

okay so, hey my name is natalie. i don't have my phone and id love to communicate with any of yall, feel free to take some points and introduce your self. :)

Answers

Hellooo ^^ ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Solve the following inequality for qq. Write your answer in simplest form. -6q+7≤8q-3

Answers

Answer:

q ≥ 5/7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-6q + 7 ≤ 8q - 3

Step 2: Solve for q

[Subtraction Property of Equality] Subtract 8q on both sides:                      -14q + 7 ≤ -3[Subtraction Property of Equality] Subtract 7 on both sides:                        -14q ≤ -10[Division Property of Equality] Divide -14 on both sides:                               q ≥ 5/7

Here we see that any number q greater than or equal to 5/7 would work as a solution to the inequality.

Answer:

q ≥ [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Given

- 6q + 7 ≤ 8q - 3 ( add 6q to both sides )

7 ≤ 14q - 3 ( add 3 to both sides )

10 ≤ 14q ( divide both sides by 2 )

5 ≤ 7q ( divide both sides by 7 )

[tex]\frac{5}{7}[/tex] ≤ q , then

q ≥ [tex]\frac{5}{7}[/tex]

In the diagram below, ΔABC≅ΔSTR. Complete the statement ∠A≅

A. ∠C
B. ∠S
C. ∠T
D. ∠R

Answers

Answer:

b

Step-by-step explanation:

Answer: B <S

Step-by-step explanation:

Please help i dont remember how to do this

Answers

just add 5 5 and 10 10 to get yo answers
i will work

Complete the proof that

Answers

Answer:

The two column proof is presented as follows;

Statement  [tex]{}[/tex]                            Reason

ΔSCW ≅ ΔTUW [tex]{}[/tex]                    Given

[tex]\overline {SV}[/tex] ≅ [tex]\overline {TU}[/tex] [tex]{}[/tex]                               CPCTC

[tex]\overline {SW}[/tex] ≅ [tex]\overline {TW}[/tex]  [tex]{}[/tex]                            CPCTC

[tex]\overline {WV}[/tex] ≅ [tex]\overline {UW}[/tex] [tex]{}[/tex]                            CPCTC

∠SVW ≅ ∠TUW  [tex]{}[/tex]                   CPCTC

SU = SW + UV [tex]{}[/tex]                       Additive property of Length

TU = TW + VW [tex]{}[/tex]                       Additive property of Length

SU = TW + VW [tex]{}[/tex]                       Substitution

SU = TV [tex]{}[/tex]                        [tex]{}[/tex]          Transitive property

ΔSTV ≅ ΔTSU  [tex]{}[/tex]                       SAS

∠TSV ≅ ∠STU [tex]{}[/tex]                        CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement  [tex]{}[/tex]                            Reason

ΔSCW ≅ ΔTUW [tex]{}[/tex]  Given

[tex]\overline {SV}[/tex] ≅ [tex]\overline {TU}[/tex] [tex]{}[/tex]            Congruent Parts of Congruent Triangles are Congruent

[tex]\overline {SW}[/tex] ≅ [tex]\overline {TW}[/tex]  [tex]{}[/tex]         Congruent Parts of Congruent Triangles are Congruent                  

[tex]\overline {UV}[/tex] ≅ [tex]\overline {VW}[/tex] [tex]{}[/tex]         Congruent Parts of Congruent Triangles are Congruent                  

∠SVW ≅ ∠TUW  [tex]{}[/tex]Congruent Parts of Congruent Triangles are Congruent                  

SU = SW + UV [tex]{}[/tex]    Additive property of Length

TU = TW + VW [tex]{}[/tex]   Additive property of Length

SU = TW + VW [tex]{}[/tex]    Substitution

SU = TV [tex]{}[/tex]              Transitive property

ΔSTV ≅ ΔTSU  [tex]{}[/tex]   Side-Angle-Side rule of congruency

∠TSV ≅ ∠STU [tex]{}[/tex]     Congruent Parts of Congruent Triangles are Congruent                  

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