A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?

Answers

Answer 1

Answer:

  $24,000

Step-by-step explanation:

The difference for principal amount P is ...

  (8% × P) - (7 3/4% × P) = $60

  0.0025P = $60

  P = $24,000 . . . . . multiply by 400

His principal was $24,000.


Related Questions

Please I need help now!!!

Answers

Answer:

An Ojibwe event in which women of all ages run, bike and canoe.

Step-by-step explanation:

A 12 ounce Starbucks latte costs $3.36. What is the constant of proportionality that relates the cost in dollars, y, to the number of ounces, x, in a Starbucks latte?

Answers

Answer:

Y = X times 0.28

Step-by-step explanation:

1. You set it up as a proportionality

12/1 and 3.36/x

The x stands for how much money it takes to get 1 ounce

2. You do the old man line.

12 times x = 3.36 times 1

12x = 3.36

3. Now you divide 3.36 by 12

3.36 divided by 12

.28

4. You insert 0.28 into the problem

12 times 0.28 = 3.36

X = 0.28

So 1 ounce costs $0.28

So Y = X times 0.28

Answer:

Step-by-step explanation:

solve similar triangles (advanced)

Answers

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

[tex]\frac{9}{3} =\frac{15}{x}[/tex]

[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]

hope this helps

what is the slope of a line that passes through (2,11) and (5,29)?​

Answers

Answer:

6

Step-by-step explanation:

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

m=(29-11)/(5-2)

m=18/3

m=6

help ASAP please again​

Answers

she got a 110 score

explanation: sorry ignore just had to do 20 characters

number 3 pls !!!!!!!!!!!!!!

Answers

Answer:

9

Step-by-step explanation:

ED: DC = 3:1

AB : BC = 3:1

AB: 3 = 9

Answer:

AB = 9

Step-by-step explanation:

Tale's theorem

[tex]\frac{12}{4} =\frac{AB}{3}[/tex]

[tex]AB=\frac{(12)(3)}{4} =\frac{36}{4} =9[/tex]

Hope this helps

What is the following sum? 2 (RootIndex 3 StartRoot 16 x cubed y EndRoot) 4 (RootIndex 3 StartRoot 54 x Superscript 6 Baseline y Superscript 5 Baseline) 4 x (RootIndex 3 StartRoot 2 y EndRoot) 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot) 8 x (RootIndex 3 StartRoot x y EndRoot) 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot) 16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot) 48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot).

Answers

Equivalent expressions are expressions that have the same value, and can be used interchangeably.

The result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]

The expression is given as:

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex]

Rewrite the expression as:

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})[/tex]

Evaluate the roots

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})[/tex]

Open the brackets

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})[/tex]

The above expression cannot be further simplified.

Hence, the result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].

We have to determine, the sum of the given expression.

According to the question,

Expression; [tex]2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})[/tex]

To determine the sum of the given expression following all the steps given below.

Rewrite the expression term in the form of their cubes,

[tex]\rm = 2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\\\\ = 2(\sqrt[3]{2^4x^3y} +4(\sqrt[3]{3^3 \times 2 \times x^6y^5})\\\\= 2\times 2(\sqrt[3]{x^3y} +4\times 3(\sqrt[3]{ 2 \times x^6y^5})\\\\= 4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\\=4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex]

Hence, The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].

For more details refer to the link given below.

https://brainly.com/question/21798224

Solve three questions

Answers

Answer:

7) r = -4

8) n = 1

9) x = 2

Step-by-step explanation:

Problem 7

Here, we have the equation 5 + 3r + 6 = -1. It looks like we need to solve for r, so let's go ahead and start by adding the constants 5 and 6.

5 + 3r + 6 = -1

3r + 11 = -1

Next, let's remove 11 from both sides to isolate r.

3r = -12

Finally, we can divide both sides by 3 to find the value of r.

r = -4

Problem 8

In this equation, it looks like we have to solve for n: -n + 2 + 3n = 4. So, let's start by combining like terms (-n and 3n).

-n + 3n + 2 = 4

2n + 2 = 4

Next, we can remove 2 from both sides to isolate r.

2n = 2

And finally, we can divide both sides by 2.

n = 1

Problem 5

This equation is a little trickier since we have a fraction. To remove this fraction, we can multiply both sides by 4.

(-6 + x)/4 = -1

4 × (-6 + x)/4 = 4 × -1

4/4 × (-6 + x)/1 = -4

-6 + x = -4

Finally, let's add 6 to both sides.

x = 2

I need help on this question

Answers

x = -7

hope this helps!

Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger

Answers

Answer:

4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6

Step-by-step explanation:

Please help me solve this. warning: an equation may have no solution, one solution or more than one solution.


5x-13=2x-9-4+3x

Answers

I got the answer and steps for this math problem,

Answer:

[tex]5 \times - 13 = 2 \times - 9 - 4 + 3 \times \\[/tex]

= 1 5/9 or 1 .5555556.

Step-by-step explanation:

Please comment if I'm

wrong...

how to graph transformations of quadratic functions

Answers

Answer:

Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.

Step-by-step explanation:

1) I want to talk about reflections first.

Reflections across the x-axis --> [tex]y = ax^2[/tex], a is the coefficient. if a is negative, then the equation should be reflected across the x-axis. This is known as a vertical reflection. Reflections across the y-axis --> [tex]y=a(bx)^2[/tex], b is the coefficient. If b is negative, then reflect the equation over the y-axis. There are cases where the reflection across the y-axis does not change anything. But, let's say its [tex]y=(x-3)^2[/tex]... the reflection across the y-axis is different (that equation is: [tex]y=(-x-3)^2[/tex] )

2) Rigid transformations

Horizontal transformations (to the left or right): [tex]y=a(bx-h)^2[/tex], factor out b from "bx-h" and whatever h equals is the units to the right. If h is a negative number, then you move to the left. Vertical transformations (up and down): [tex]y = a(bx-h)^2+k[/tex]... k is just the units up... if k is negative then we move it down.

Example (check image for visual)

We transform [tex]y = x^2[/tex] to [tex]y = -(-x-3)^2+3[/tex] , you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.

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

Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.

Mila buys 11/12 pounds of almonds and 5/6 pounds of pecans.


Which answer is the most accurate estimate for how many more pounds of almonds she buys than pounds of pecans?



0 pounds


1/2 pounds


1 pound

Answers

Answer: Check explanation.

Step-by-step explanation: I think its 0. Not sure. Hope this helped!

On a field trip, there were 5 girls for every 8 boys how many girls attended the 130-student field trip?

Answers

Answer:

5 / 13 is the fraction of girls on the field trip

5/13 * 130 = 50 girls on the trip

Or 10 groups of 13 and each group of 13 had 5 girls giving a total of

5 * 10 = 50 girls

Evaluate c√+b(a−3)^3, when a = 5, b = 2, and c = 49.
a.84
b.72
c.54
d.23

(will mark brainliest if correct)

Answers

i believe the answer is 196? i’m sorry if i’m incorrect

Answer:

D). 23

Step-by-step explanation:

I just did this question and it is 100% correct

PLEASE ANSWER THIS QUESTION!!!! ASSIGNMENT DUE BY 3:15!!!!!!
create an event that would give me a PROBABILITY of 1/2

Answers

Answer:

This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?

There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.

Hope this helps!

Hep I’ll choose brainliest!!

Answers

Answer:

7

Step-by-step explanation:

3x - y = 1

2x + 2y = 14

x = 2

y =  5

x + y = 2 + 5 = 7

the answer is 7 because x = 2 and y = 5 , 3 x 2 = 6 -5=1 and 2 + 5 = 7

A man owns a store. One week he sells 100 loaves of bread. If he sells twice as many loaves the next week, how many loaves did he sell in total

Answers

Loaves sold on the first week=100
Loaves sold on the next=2(100)=200
Total number of loaves=200+100=300

Translate this phrase into an algebraic expression.
54 decreased by twice a number
Use the variable n to represent the unknown number.

Answers

Answer:

54 - (2n)

Step-by-step explanation:

First you take 54

Then its says to “decrease (said number: 54) by twice a number”

Decrease meaning “take away/remove”.

So you subtract 54 by 2 —> 54 - 2

But then, the important line comes along, “Use the variable n to represent the unknown number.

This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.

So your answer is —> 54 - (2n)

Answer:

54 - 2n

Step-by-step explanation:

54 - 2n

0.36 as a standard form

Answers

Answer:

0.36 x 10⁰

Step-by-step explanation:

How to find zeros of a quadratic function
example
f(x)=x^3+2x^2-25x-50

Answers

Answer:

Step-by-step explanation:

x=2,−5,5

if any doubt leave a comment

Give BRAINLIEST

plz I just wanna if my answers are true​

Answers

Answer:

3^2

3^4

3^6

Step-by-step explanation:

9 is actually 3^2, so you have the first one wrong.

The second one is correct, but the third one is not

Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.

Order these numbers from least to greatest

Answers

Answer:

5.125, 5.14, ¹⁰³/₂₀, 5²/₉

Step-by-step explanation:

When you convert 103/20 to decimal you get 5.15 which is greater than 5.125 and 5.14.

When you convert 5²/₉ to fraction you get ⁴⁷/₉ which when converted to decimal is 5.222 which is greater than 5.125, 5.14 and 5.15.

I know the beginning is 5.125 and the last is 5 2/9

what is the recriprocal of 8

Answers

the reciprocal of 8 is 1/8

Answer:

answer = 1/8

Step-by-step explanation:

answer = 1/8

Trevor simplifies a linear equation

Answers

Answer:

C :3

Step-by-step explanation:

Whenever our simplification of a linear equation ends in a true statement, in this case 6=6, then our linear equation has infinitely many solutions.

Therefore, our answer is C.

even if we don’t know what x is we’ll still get an infinite amount of solutions

HOPE THIS HELPED :DDDD

Dividing a polynomial

Answers

Answer:

the answer is

Step-by-step explanation:

-7u⁶y²-5u³+3uy²

that is the correct answer trust me

Walmart has white tees and joggers on sale. The white tees cost $4 each and the joggers cost $6
each. You have $36 to spend. The equation 4x + 6y = 36 can model this situation where x
represents the number of white tees and y represents the number of joggers purchased.
Graph the equation and identify (3) possible combinations of white tees and joggers that can be
bought.
cost = price x quantity
4 × X
Combination

Answers

y intercept = 6
Slope = -2/3

6 joggers and 0 tees
4 joggers and 3 tees
2 joggers and 6 tees
0 joggers and 9 tees

Х
Note: Enter your answer and show all the steps that you use to solve this problem
in the space provided.
389
21
21
Drawing not to scale
What is the value of x?
Math symbols
Relations

Answers

Answer:

71°

Step-by-step explanation:

well you can tell based off the 2 sides that are 21 units each that this triangle is isosceles, that means the 2 base angles are the same.

so 2x°+38°=180°

so 2x°=142°

so x=71°

y-2=-7/5(x--2). Please include explanation when giving your answer. I'm really struggling with this. 20 points for whoever can answer this.

Answers

Answer:

[tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Step-by-step explanation:

First, you have to simplify [tex]\frac{-7}{5(x-2)}[/tex] to become [tex]-\frac{-7}{5(x-2)}[/tex]

Next, you multiply both sides by [tex]5(x-2)[/tex] to make [tex]y\cdot \:5\left(x-2\right)-2\cdot \:5\left(x-2\right)=-\frac{7}{5\left(x-2\right)}\cdot \:5\left(x-2\right)[/tex]

After that, you need to simplify again to become [tex]y\cdot \:5\left(x-2\right)-10\left(x-2\right)=-7[/tex]

Now, expand [tex]5(x-2)-10(x-2)[/tex] to become [tex]5xy-10y-10x+20=-7[/tex]

Then, add 10y to both sides [tex]5xy-10y-10x+20+10y=-7+10y[/tex]

Next, you simplify to create [tex]5xy-10x+20=-7+10y[/tex]

After that, subtract 20 from both sides to make [tex]5xy-10x+20-20=-7+10y-20[/tex]

Now, simplify again to get [tex]5xy-10x=10y-27[/tex]

Next, factor [tex]5xy-10x[/tex] to get [tex]5x(y-2)[/tex]

Finally, divide both sides by [tex]5(y-2)[/tex] to get [tex]\frac{5x\left(y-2\right)}{5\left(y-2\right)}=\frac{10y}{5\left(y-2\right)}-\frac{27}{5\left(y-2\right)};\quad \:y\ne \:2[/tex]

If you did it right your final answer should be [tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Hope this helps explain it!

Can you please help me

Answers

Answer:

V = 113.1

Step-by-step explanation:

V= 4/3 π r^3

V= 4/3 x 3.14 x 3^3

V= 4.19 x 27

V= 113.13

rounded to 113.1

Given that:Radius= 3 mTo find:The volume of the given sphere rounding to the nearest tenth.Solution:A sphere is a three dimensional solid with a curved surface area.SI unit of volume is cubic meter.

In this question all the required information is given so we'll simply have to solve.

[tex]\large\boxed{\bold{V= \ \frac{4}{3}\pi{r}^{3}}}[/tex]

Let's substitute the values according to the formula.

[tex]\bold{ V= \frac{4}{3}×\pi×{3}^{3}}[/tex]

[tex]\bold{=113.0973355 \ {m}^{3}}[/tex]

Now, we can round off to the nearest tenth.

If the value in hundredths place is greater than 5 you'll have to round up. If not you'll have to keep it as it is.

In this, the value in hundredths place is greater than 5 so we'll have to round up by adding 1 to the tenths place.

[tex]\large\boxed{\bold{V= 113.1 \ {m}^{3}}}[/tex]

Therefore, the volume of the given sphere is 113.1 cubic meters.

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This camera isnt _____ expensive as I thought at first.A. fromB. moreC. sameD. as9. I was late for class _____ the bus was late.A. soB. becauseC. butD. or10. I _____ that book already. Its really fantastic.11.: Please wake me _____ at 6 and we will leave at 7 in the morning.A. upB. onC. overD. in12. _____ the omelette in half.A. pourB. heatC. foldD. beat13. Tom Holland is a famous _____ who starred in Spider Man.A. musicianB. actorC. actressD. singer14. She bought a _____ of bread so we can make sandwiches.A. bowlB. barC. canD. loaf15. The broth for _____ is made by stewing the bones of cows for a long time in a large pot.A. beef noodle soup B. chicken noodle soup C. eel soup D. sweet soup 16.You can see many interesting ____ in that art gallery. A. paints B. colours C. portraits D. paper 17. I never watch ballet, and my sister doesnt ____ A. too B. so C. either D. like that17. A lot of people enjoy _____________ things such as dolls, stamps or bottles. A. collecting B. making C. arranging D. doing 18. Can you ride a horse? - Of course. It's a piece of _________. A. horse B. cake C. collage D. art 19. I never watch horror films and my bother doesn't _________. A. neither B. too C. either D. so20. _________ water is there in the bottle? A. How many B. How much C. How long D. How far21. Smoke or dirt can make us __________. A. sunburnt B. toothache C. sneeze D. runny nose 22. Eat __________high-fat food to avoid obesity. A. more B. much C. many D. less 23.Teenagers in Viet Nam like K-pop, and they like Korean films ____ A. too B. either C. so D. however 24.This film is not ____ long as the film I watched last week. A. as B. but C. either D. too 25.My brothers taste in art is quite different ____mine. A. than B. as C. to D. from 26.My village is not ____it was ten years ago. A. same as B. the same C. the same as D. the same like27. The Japanese eat healthily, _____ they live for a long time.A. butB. andC. orD. so28. He keeps sneezing and coughing. I think hs has _____.A. stomachacheB. headacheC. sunburnD. flu29. Your taste in art is quite different _____ mine.A. asB. sameC. thanD. from30. _____ apples are there in the fridge?A. How muchB. How manyC. How farD. How long 31.Can you tell me ____ this dish? A. to cook B. how to cook C. cooking D. how to cooking 32.What ____ do I need to cook an omelette? A. food B. material C. menu D. ingredients 33.What is your ____ dish for breakfast? - Its beef noodle soup. A. favourite B. most C. best D. liking 34.The eel soup that your father has just cooked tastes very ____ A. well B. best C. healthy D. delicious35. She_______ many new friends since she joined this English club.A. making B. made C. has made D. makes 36. __________ your frying fan first and then add the cooking oil.A. Heat B. Add C. Pour D. Fold 37____bottles of milk does your family need for a week? A. How much B. How many C. How D. 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