What is the interest on $450 loan at 7% for 2 year

Answers

Answer 1

Answer:

$63

Step-by-step explanation:

here,

principle=$450

rate=7%

time=2yrs

intrest=?

now,

as, we know,

intrest=(p×t×r)÷100%

intrest=($450×7×2%)÷100%

intrest=$6300÷100

therefore, intrest=$63#

Answer 2

Interest on given principal rate of interest and time is $63.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, principal =$450, rate of interest =7% and time period =2 years.

Now, simple interest = (450×7×2)/100

= 6300/100

= $63

Therefore, interest is $63.

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Related Questions

Which one of these is NOT an Irrational Number?

a. 10,000,000
b. 17
C. 37
d. 12

Answers

Answer:

37 is not an irrational number

Step-by-step explanation:

helpppp quickkkkkkkkk

Answers

same side interior angles

Answer:

your answer is the last on the bottom

(will give brainliest!!!)
In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.
(no sin and cos pleasee)
(show work too)

Answers

9514 1404 393

Answer:

  18 cm^2

Step-by-step explanation:

Under the given constraints, the way to find the area of this triangle is to use a triangle solver app or web site. The attached shows the area is 18 cm^2.

_____

A simple way to find the area is to use the cosine function to find side AC adjacent to the 75° angle. Then use the formula for area that uses the sine function.

  AC = AB·cos(75°)

  Area = (1/2)AB·AC·sin(75°)

  Area = (1/2)(AB²)cos(75)sin(75°)

  = (1/4)AB²·sin(150°) . . . using the double-angle identity

  = (1/4)(12 cm)²(1/2)

  Area = 18 cm²

__

The useful relations are ...

  Cos = Adjacent/Hypotenuse

  cos(75°) = AC/AB   ⇒   AC = AB·cos(75°)

and ...

  Area = (1/2)pq·sin(α) . . . . for two sides p and q with angle α between them

  Area = (1/2)AB·AC·sin(75°)

Another identity we used here is ...

  sin(2α) = 2sin(α)cos(α)   ⇔   sin(α)cos(α) = (1/2)sin(2α)

Putting these together, the formula for area we used was effectively ...

  A = (1/4)AB²sin(2·75°)

Solve the equation 5x+9=4.

Answers

X=-1
Pls mark brainliest

Answer: x=−1

Step-by-step explanation: hope this helps!

An equilateral triangle with side lengths of 8.7 centimeters is shown. An apothem has a length of a and the radius has a length of 5 centimeters. The apothem and radius form a triangle with a base length of b. Which statements about finding the area of the equilateral triangle are true? Select three options

Answers

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

Also, the options are;

A) The apothem can be found using the Pythagorean theorem.

B) The apothem can be found using the tangent ratio.

C) The perimeter of the equilateral triangle is 15 cm.

D) The length of the apothem is approximately 2.5 cm.

E) The area of the equilateral triangle is approximately 65 cm².

Answer:

Options A, B & D are true

Step-by-step explanation:

A) We are told that the triangle is an equilateral triangle.

Thus, the 3 sides equal 8.7 cm.

Now from the image, b is half of one of the sides.

Thus, b = 8.7/2 = 4.35 cm

Now, we want to find the apothem "a".

Using Pythagoras theorem, we have;

a² + 4.35² = 5²

a² = 25 - 18.9225

a² = 6.0775

a = √6.0775

a ≈ 2.5 cm.

Thus, option A is true as pythagoras theorem was able to calculate the apothem "a"

B) since the main triangle is equilateral, it means each angle is 60°.

Now,the radius line from one corner point to the centre will divide the 60° angle into 2 equal parts.

Thus, the angle made by the radius line with the base of the triangle is 60/2 = 30°

Now,from tangent ratios, we know that;

Opposite/Adjacent = tan θ

In the small triangle, opposite is apothem "a" while adjacent is b = 4.35 cm

Thus;

a/4.35 = tan 30

a = 4.35 tan 30

a ≈ 2.5 cm.

Thus, option B is correct as Tangent ratio can be used to find the apothem

C) The perimeter of equilateral triangle = 3x

Where x is length of one side.

One side is 8.7 cm

Thus, perimeter = 3 × 8.7 = 26.1 cm

Thus option C is not correct.

D) From calculations above, we saw that in both options A & B, the apothem is approximately 2.5 cm.

Thus, option D is true.

E) Area of triangle is;

A = ½ × base × height

Base = 8.7 cm

To get height, we will use trigonometric ratio. Thus;

h/8.7 = sin 60°

h = 8.7 sin 60°

Thus;

A = ½ × 8.7 × 8.7 sin 60°

A = 32.77 cm²

Thus is not equal to 65 cm². Thus, option E is not correct.

Answer:

A, B, D

Step-by-step explanation:


I don’t understand please help

Answers

Answer:

yes it is i think don't sew meh if im wrong

Step-by-step explanation:

A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2 over 25 . How many blue marbles are in the bag?

Answers

Given:

Total number of marbles = 15

Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].

To find:

The number of blue marbles.

Solution:

Let the number of blue marbles be x.

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(Blue)=\dfrac{x}{15}[/tex]

It is given that,

[tex]P(Green)=\dfrac{1}{5}[/tex]

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,

[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]

[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]

[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]

Multiply both sides by 75.

[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]

[tex]x=2\times 3[/tex]

[tex]x=6[/tex]

Therefore, the number of blue marbles in the bag is 6.

Answers anyone???
Hurry

Answers

Answer:

Its called math

Step-by-step explanation:

¡¡ANSWER MY QUESTION FIRST¡¡

Can you help me with these questions, please?

Answers

Answer:

∠5 = 70°

∠8 = 130°

Step-by-step explanation:

Since ∠5 and ∠1 are equal they will both equal 70°

Since ∠6 and ∠8 are also equal they will both equal 130°

Hope this helps

Plz mark brainliest

If a = 5x + 8 and d = 62, find the value of x.​

Answers

Answer:

first if a=d that 62=5x+8

62-8=5x+8-8 ...substract by same number

54=5x ....simplifying

54/5=5x/5 ....divided by two equal part

10.8=x

Rodrigo can carpet a house in twelve hours, working by himself. DaShawn can carpet the same house in ten hours . Working together, how long would it take Rodrigo and DaShawn to carpet the house

Answers

Answer:

I would say 2 hours but im not sure tbh.

Step-by-step explanation:

The exact same experiment was conducted 16 times. How many times
should the results have been similar for them to be valid?
A. 8
B. 10
C. 7
D. 16

Answers

not sure but i think either b or d but u can cross off a
The answer is d 16 hope it’s right

Solve the following system of equations algebraically:

y = 4x^2 + 17x + 14
y = 2x + 5​

Answers

Answer:

When x = -3  y = -1

When x = -3/4  y = 7/2

Step-by-step explanation:

y = 4x^2 + 17x + 14

y = 2x + 5​

Set each equation equal to each other

4x^2 + 17x + 14  = 2x + 5​

Subtract 2x from each side

4x^2 + 17x-2x + 14  = 2x-2x + 5​

4x^2 + 15x + 14  =  5​

Subtract 5 from each side

4x^2 + 15x + 14-5  =  5​-5

4x^2 + 15x +9  = 0

Factor

(4x+3) ( x+3) =0

Using the zero product property

4x+3 =0    x+3 =0

4x = -3      x=-3

x = -3/4     x=-3

Now we need to find y for each x

x =-3   y = 2x+5  =2(-3)+5 = -6+5 = -1  

When x = -3  y = -1

x = -3/4   y = 2(-3/4) +5 = -3/2 +5 = 7/2

When x = -3/4  y = 7/2

There exists a similarity transformation that maps ABC to A'B'C. The measure of the measure of

Answers

Answer:

Step-by-step explanation:               For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'

A jewelry artist is selling necklaces at an art fair. It costs $200 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $20 each. The jewelry artist wants to make at least a profit of $300. Write an inequality that represents the situation. Make sure to write down the given information from the problem and represent your variables. Show all of your work. B). Find a possible solution for the inequality. Show all of your work and check your answer to make sure that it makes the inequality true.

Answers

Answer:

32.25 necklaces

Step-by-step explanation:

Given that the expected profit upon deduction of booth rent and material cost is at least $300

Given

let the number of necklaces be x

booth rent= $200

The cost of materials for the necklaces = $4.5x

the selling price for all the necklaces =$20x

total expenses= booth rent+cost of material = 200+4.5x

profit = selling price -total expenses

20x-300>200+4.5x+

B. the possible solution is the value of x i.e the number of necklaces to

be sold to make a profit of $300

20x-300>200+4.5x

20x-4.5x=200+300

15.5x=500

x=500/15.5

x=32.25

The Jewelry artist must have to sell a total of approximately 32.25 necklaces

If side a = 3 and b = 4 what is the length of leg c in a right triangle using the
pythagorean theorem?

Answers

Answer: 5

Step-by-step explanation: Leg A + Leg B= Leg C

9+16=25 the square of 25 is 5

Answer:

5 = c

Step-by-step explanation:

pythagorean theorem is simply a^2 + b^2 = c^2

so a=3 and b=4 so we plug them in

3^2 + 4^2 = c^2

which is

9 + 16 = c^2

so

25 = c^2

then we take the square root for the answer!!

sqrt(25) = sqrt(c^2)

5 = c


Pls help please!!!

Answers

i am gonna have to go with B

Which choice best represents the sum of (5 + 8x - 3) and (9x - 6)
17x +-4
17x + 4
x + 14
x+ - 14

Answers

Answer:

17x−4

Step-by-step explanation:

Let's simplify step-by-step.

5+8x−3+9x−6

=5+8x+−3+9x+−6

Combine Like Terms:

=5+8x+−3+9x+−6

=(8x+9x)+(5+−3+−6)

=17x+−4

what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.  The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.

The image of the dilated point will be:-

x : - 8 ⇒ 8 / 4 = 2

y : - 12 ⇒ 12 / 4 = 3

Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

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The number of animals at the is shown in the table. Write a ratio to represent giraffes to otters.

Answers

Answer:

The ratio of giraffes to otters is 8:16. If simplified it's 1:2

Step-by-step explanation:

Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200. Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200. Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200. Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.

Answers

Answer:

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

Step-by-step explanation:

The model equation is given as:

52(18) + x = 1200

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

52($18) + x = $1200

52(18) + x = $1200

Option a is correct

b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.

x = weekly bonus, hence, we have the equation:

$18 + (x)52 = $1200

Option b is wrong

c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.

This is represented as:

$52 + $18(x) = $1200

Option c is wrong

d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.

This is represented as :

$52+ $x + $18 = $1200

Option d is wrong.

Therefore, the correct statement that modelled the equation is option a

Manual is a word processor operator he makes $11.50 an hour determine his gross earnings for a week if he worked 52 hours

Answers

$598 basically 11.50•52

please help. i will mark brainleast

Answers

the answer is 9. hope this helps

Answer:

9 is the answer.

Both negative signs cancel eachother, so you just have 45/5.

Step-by-step explanation:

Good luck! <3

so like i really need some help

Answers

Answer:

B: distinct parallel lines

Step-by-step explanation:

Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest​ tenth? What is the next​ step? What is 5.94 rounded to the nearest​ tenth?

Answers

Answer: 5.9

9.94 rounded to the nearest tenth is 5.9

Plz mark brainliest:)

Please just do whatever you can

Answers

Answer:

6. -62/289 or -0.249135

Explanation:

8/17x-3/5=-24/85x15/17= -62/289

For the percent 58%, (a) write a decimal and (b) write a fraction in lowest terms. ​

Answers

Answer:

A) 0.58

B)  58/100

Step-by-step explanation:

Can i have brainliest if its right :)

HELP ME PLZZ I CANT FAIL THIS, SO PLZZ HELP ME !!!

Answers

Answer:

C i think

Step-by-step explanation:

You always put the numerator as what you are splitting or dividing the denominators number hope you understand what im trying to say  

Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and has only 7 marbles at present. Write the equation to be used to solve this equation.

Answers

Answer:

45÷5=9-2=7 is this the equation took so long but got the right answer

Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP

Answers

Answer:

(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]

(2) [tex]3x + 2y\leq[/tex] 24

(3) [tex]x+4y\leq 28[/tex]

Step-by-step explanation:

Let x and y be the numbers of rockers and swivels made by Ethan.

(1) Since the number of chairs can't be negative. So,

x\geq0 and y\geq 0 are the two constraints.

(2) He can work a maximum of 24 hours.

The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.

So, the time required to make x rocker chair = 3x hr

and the time required to make y swivel chair = 2y hr.

The total time required is  3x + 2y hr which can't be more than the available time, 24 hr.

So, the required constraint is

[tex]3x + 2y\leq 24[/tex]

(3) Similarly,

As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.

So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.

So, the required constraint is

[tex]2x + 8y\leq 56[/tex]

[tex]\Rightarrow x+4y\leq 28.[/tex]

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