Angela purchased a car using a simple interest loan. The loan had an interest rate of 5% and was for three years. Angela paid $450 in interest. The principal amount of the loan was for $

Answers

Answer 1

Answer:

$3000

Step-by-step explanation:

Given data

Rate=5%

Time=3 years

Simple interest= $450

We know that the expression for simple interest is

SI=PRT/100

Substitute

450=P*5*3/100

cross multiply

P*15= 45000

Divide both sides by 15

P= 45000/15

P=$3000

Hence the principal amount is $3000


Related Questions

Joses his yearly wages were $50 more than marks, so he earned 16,815.43. Yet he said his taxes are the same as marks. Is he right? How can you tell?

Answers

Answer:

No

Step-by-step explanation:

This depends on many other things but in a basic tax bracket, both Joses and Mark both fall under the 12% tax bracket. This is for individuals who make a yearly salary between $9,876 to $40,125, in which the taxes would be 12% of the yearly salary. Since this is percent based, their taxes would not be the same, they would be close but Mark would still end up paying a little bit more since he made more money.

Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458

Answers

Answer:

tn = -1350 + 468n  

Step-by-step explanation:

First, we need to find the difference.

1458 - 54 / 6 - 3

= 468

Now we need to find the first term.

t3 = t1 + (n - 1) (d)

54 = t1 + (3 - 1)(468)

54 = t1 + (2)(468)

54 = t1 + 936

-882 = t1

The rule is:

tn = -882 + (n-1) (468)

tn = -882 + 468n - 468

tn = -1350 + 468n  

Which is an equivalent form of the first equation that when added to second equation eliminates the x terms? 4/5 x-3/5y=18

Answers

Answer:

[tex]-8x + 6y = -180[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{5} x-\frac{3}{5}y=18[/tex]

[tex]8x + 12y = 11[/tex]

Required

Equivalent form of the first equation that eliminates x when added to the second

To do this, we simply make the coefficients of x to be opposite in both equations.

In the second equation, the coefficient of x is 8.

So, we need to make the coefficient of x -8, in the first equation.

[tex]\frac{4}{5} x-\frac{3}{5}y=18[/tex]

Multiply by -10

[tex]-10 * [\frac{4}{5} x-\frac{3}{5}y=18][/tex]

[tex]\frac{-40}{5} x+\frac{30}{5}y=-180[/tex]

[tex]-8x + 6y = -180[/tex]

When this is added to the first equation, the x terms becomes eliminated


HELP PLS ITS ALMOST DUE PLS PLS PLS

Answers

Answer:

19. B

20. C

Step-by-step explanation:

The quotient of a number more than 1 and 3 is 5

Answers

Answer:

https://brainly.com/question/13518166

Step-by-step explanation:

Roger brought some sponges. The number of packages he bought was 14 less than the number of sponges per package. Roger bought 51 sponges in all. How many packages of sponges did roger buy?

Answers

Answer:

the number of sponges per package bought be 32.5

Step-by-step explanation:

Let us assume the number of sponges per package be x

So the number of packages he bought be x - 14

And, the overall he bought 51 sponges

So

the number of packages of sponges did roger buy is

x + x - 14 = 51

2x = 51 + 14

2x = 65

x = 32.5

So the number of sponges per package bought be 32.5

Help ASAP please!!!!!

Answers

51in

Step-by-step explanation:

15x5=75

8x3=24

75-25=51

Answer:

hi

Step-by-step explanation:

the area of the little rectangle:

3 in × 8 in= 24 in

tge area of the shaded ragion:

5in × 15in =75in

75in - 24 in=51 in

hope it helps

have a nice day

Find the total area.

Answers

Answer:

area = 164.52 cm²

Step-by-step explanation:

area = (12x6) + (12x3x0.5x2) + (3.14)(0.5)(6²) = 164.52 cm²

Tell whether the angle measures can be those of a triangle.

20°, 160°, 20°

Yes, can be those of a triangle.
No, cannot be those of a triangle.

Answers

No.

The 3 angles of a triangle need to equal 180 degrees.

The sum of the 3 given angles is greater than 180 ( 160 + 20 + 20 = 200) so it cannot form a triangle.

help i really need help WILL GIVE BRAINLIEST

Answers

Answer:

3 and 4

Step-by-step explanation:

Write an equation of the line perpendicular to the given line that contains P.

Answers

Step-by-step explanation:

As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.

=> (1/2)m = - 1

=> m = - 2

Thus, required line is

=> y - (-8) = (-2)(x - 3)

=> y + 8 = -2(x - 3)

What is a scatterplot?

a graph showing the relationship between two sets of data
a relationship between two variables
a data point that does not fit the general pattern in the data
a group of data points around a value

Answers

Answer:

a graph showing the relationship between two sets of data

Step-by-step explanation:

A graph showing the relationship

Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?

Answers

Answer:

Marcy paid $4.15

Step-by-step explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

Jamal

[tex]3x + 2y = 4.85[/tex]

Kenny

[tex]5x + 6y = 9.55[/tex]

See attachment for complete question

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

[tex]3x + 2y = 4.85[/tex] --- (1)

[tex]5x + 6y = 9.55[/tex] --- (2)

Multiply (1) by 3

[tex]3 * [3x + 2y = 4.85][/tex]

[tex]9x + 6y = 14.55[/tex] --- (3)

Subtract (2) and (3)

[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]

[tex]9x - 5x = 5[/tex]

[tex]4x = 5[/tex]

Solve for x

[tex]x = \frac{5}{4}[/tex]

[tex]x = 1.25[/tex]

Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]

[tex]3 * 1.25 + 2y = 4.85[/tex]

[tex]3.75 + 2y = 4.85[/tex]

Solve for y

[tex]y = \frac{4.85 - 3.75}{2}[/tex]

[tex]y = \frac{1.10}{2}[/tex]

[tex]y = 0.55[/tex]

So, the cost of 2x and 3y is:

[tex]Cost = 2x + 3y[/tex]

[tex]Cost = 2*1.25 + 3*0.55[/tex]

[tex]Cost = \$4.15[/tex]

5/7+1/2+3/4

i need help please

Answers

Answer:

1.96428571429

Step-by-step explanation:

Answer:

55/28

Step-by-step explanation:

5×2+7/14+3/4

17/14+3/4

68+42/56

110/56

55/28

The perimeter of a square is 28 cm. Find its area and the length of its diagonal.


help me ​

Answers

Step-by-step explanation:

area: 28/4=7

7x7=49

diagonal=square root 7²+7²

9.89949

9.90

hope it can help you

What is the range of the function shown on the graph above? The graph is in the photo
OA. -6 < y < 9
OB. -6 _< y _< 9
OC. 0 _< y _< 7
OD. 0 < y < 7

Answers

The answer is OA. 6 & it; y & it; 9

PLEASE HELP ASAP!!! WILL MAKE BRAINLIEST!

Answers

Answer: Figure B is 2x bigger on all sides

Explanation: You can see that each of the numbers times 2 would equal all of the numbers on B.

A concrete slab has the dimensions 4 yd by 2 yd by 1.2 yd. What is the volume of 40 of these concrete slabs

Answers

The volume of 40 of the concrete slabs given the dimensions of one  concrete slab is 384 yd³.

What is the volume of one  concrete slab?

The concrete slab has the shape of a rectangular prism. So, the volume of a rectangular prism would be used to determine the volume of the  concrete slabs.

Volume of one  concrete slab = length x width x height

4 x 2 x 1.2 = 9.6 yd³

Volume of 40  concrete slabs = 40 x 9.6 = 384 yd³

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

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A: x>106

B: x<106

C: x=106


Which one is it?

Answers

Answer:

x is equal to 106

Step-by-step explanation:

when x is on the opposite side of 2 intersecting lines, it will be the same angle as the angle opposite to it

a manufacturer is designing a new container for their chocolate-covered almonds. Their original container was a cylinder with the height of 18 cm and a diameter of 14 cm. the new container can be modeled by a rectangular prism with a square base and will contain the same amount of chocolate-covered almonds. if the new container's height is 16 cm, determine and state, to the nearest tenth of a centimeter, the side length of the new container if both containers contain the same amount of almonds

Answers

Answer:

answer is 24

Step-by-step explanation:

The side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

The radius of the cylinder r = 14/2 = 7 cm

The volume of the cylindrical container V = π(7)²(18) = 882π cubic cm

Let's suppose the side length is L:

Then the volume of the rectangular prism is the same as the cylindrical container:

882π = L×L×16       (h = 16 cm)

882π = 16L²  

L = 13.15 ≈ 13.2 cm

Thus, the side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.

Learn more about the cylinder here:

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Choose the item that does NOT have a measurable volume.
a dollar bill
air
a box of crackers
a water bottle

Answers

Answer:

Air

Step-by-step explanation:

You can't really measure air

Answer:

Air

Step-by-step explanation:

You cannot measure air because it is invisible.

Which of the following describes the root of the following function? f[x] = -x2 3x + 1 Select one a. Exactly 1 rational root. b. 2 distinct rational roots. c. 2 distinct irrational roots. d. 2 distinct imaginary roots.​

Answers

Answer:

please stop being lazy by using OCR! next time type the question!

there's nothing such as  = -x2 3x + 1

it's probablhy f(x) = -x² + 3x + 1

Answer:

2 distinct irrational roots

Step-by-step explanation:

Which equation correctly compares the tens place and ones place in 9,999?
A.
90 ÷ 9 = 10
B.
900 ÷ 9 = 100
C.
9,000 ÷ 90 = 100
D.
900 ÷ 90 = 10

Answers

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

Since 90 plus 9 = 99 and 99 is the tens and ones place.

So, the answer should be A.

Hope this helps! :)

90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

Given that,
To determine the equation correctly compare the tens place and one's place in 9,999.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
In the number 9999,
let the number on the ten places be x times the number on unit place,
90 = x * 9
x = 90 / 9
x = 10

Now,
90 / 9 = 10

Thus, 90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

Learn more about the number system here:

https://brainly.com/question/22046046

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2/5 of 16 simplify if you can thank you

Answers

Answer:

6 and 2/5

Step-by-step explanation:

Answer:

Decimal form: 6.4

Fraction form: 32/5

Step-by-step explanation:

of = times

2/5 x 16 = 6.4

Find x.
30
20
Need help with this question asap

Answers

Cos=adjacent/hypotenuse
Cos30=x/20
x=cos30 *20

Sorry I don’t have a calculator right now

Answer:

x = 10[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 10[tex]\sqrt{3}[/tex]

Need Help ASAP on this question

Answers

Step-by-step explanation:

[tex]1250 - 8 \times 82 = \\ = 1250 - 656 = \\ = 594[/tex]

Answer:

$594

Step-by-step explanation:

since it doesn't seem to be accounting for interest

not going to worry about it

you would start with the initial amount that she had and then subtract 82x

x=8

so 1250-82x or 82(8)

so 1250-656

594

and if your teachers a stickler make sure that you add the dollar sign because they might count it off by half if you do not

please help i’ll give brainliest

Answers

Answer:

A insects and plants

Step-by-step explanation:

the decaying things are used as fertilizer for plants to grow and insects to eat

MATH PLEASE HELP!! HELP BADLY NEEDED....

Answers

Corresponding angles- a, d, h, l and s
Alternate interior- c, f, i, o, and t
Same side interior- e, g, k, m, and p
Alternate exterior- n, q, r
• for j and b I’m not sure

My Samsung charger broke so I went to Five Below to get a new one. They were on sale for $15,35 (not so five below). There
was a 6% tax too. How much did the new charger cost?

Answers

Answer:

It would be in thE 20.75

Step-by-step explanation:

Just keep adding change by 9 6 times

Answer : $16.27

Explanation : 15.35 x .06 = .92 cents
15.35 + .92 = = 16.27

Convert 5.7×108 to its expanded form. sorry guys im not good with math so i need halp ^_^

Answers

The answer is 615.6.If you have more problems like this go to math-way calculator

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