Amelia invests money in an account paying simple interest. She invests $180
and no money is added or removed from the investment. After one year, she
has $187.20. What is the simple percent interest per year?

Answers

Answer 1

Answer:

4%

Step-by-step explanation:

100% represents the starting balance: $180.

Method 1

Express the ending balance as a percentage of the starting balance:

$180

1.04

1.04 times 100=

1.04×100=

104%

Subtract the starting 100% to get the percent interest:

4%

Method 2

$187.20−$180=

$7.20

$180

$7.20

0.04

0.04 times 100=

0.04×100=

4%


Related Questions

Choose the correct simplification of (8x + 3y)(2x - 4y). (5 points)
16x2 + 26xy + 12y2
16x2 + 26xy - 12y2
16x2 - 26xy + 12y2
16x2 - 26xy - 12y2

Answers

Answer: [tex]16x^{2} - 26xy - 12y^{2}[/tex]

Which matrix equation represents the system of linear equations?
3x-9y-Z=-4
-2x + y - 8z = 1
5x + 2y + 2z = 9
-175 x 3
1 1 - 8
y = -2
9 2 2
-4 -9
N
LO
3 -9
-111x
-4
-2
1 - 8
y =
1
B
5
2
2
N
9
x
3 -9
-4
х
-1
-2
1
1 ll y =
8
ir N
2
9
Z
2

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

When solving multiple choice problems, a reasonable strategy is to look for ways to identify one answer as good, or other answers as bad.

Here, all of the constant vectors in the equations are different, so we can decide the answer based on that.

The only equation with the correct constant vector is choice B.

_____

The constants in the equations are -4, 1, 9 — the values to the right of the equal sign.

A group of 3 friends went to a movie. They paid $15 for a bucket of popcorn. All the
movie tickets were the same price. They paid $51.75 total. Which equation represents
the cost of the tickets?

Answers

Answer:

51.75- 15= 36.75

36.75/3= 12.25 per ticket

Answer:

51.75 - 15 / 3

Step-by-step explanation:

$15 for a bucket of popcorn is separate from the tickets, so you subtract that from the sum.

Then you should have 36.75.

36.75 / 3 = 12.25

I hope this helped!

Stay safe! <3

2.142 Dag into gram and milligram​

Answers

Answer:

21.42g 21420mg

Step-by-step explanation:

2.142x10=21.42g

2.142x10000=21420mg

The price of a new car was 12,500 it is reduced to 11,625 work out the percentage reduction

Answers

Answer:

93%.

Step-by-step explanation:

% Decrease = Decrease ÷ Original Number × 100

Divde 11,625 by 12,500 and multiply the answer by 100.

11,625 ÷ 12,500 × 100 = 93  

The percentage reduction is 93%.

Q1: How do you divide a segment into given ratios?

Answers

Answer: To find the point P that divides a segment AB into a particular ratio, determine the ratio k by writing the numerator over the sum of the numerator and the denominator of the given ratio. Next, find the rise and the run (slope) of the line. Finally, add (k. the run) to the x-coordinate of A and add (k.

Step-by-step explanation: Hope this helps :)

Slove the system
Linear equations
by substation
Y+11=6x
2x+3y=7

Answers

Step-by-step explanation:

y = 6x-11

substitute y into 2x+3y=7

2x+3(6x-11)=7

2x + 18x-33 = 7

20 x = 7+33

x = 2

y?

y= 6(2)-11

y = 12-11 = 1

so, x = 2 and y = 1

GIVING BRAINLIEST!!!

Which statement best describes the expression (5 x 3 − 12) x 8?

A) Subtract the product of 5 and 3 from the product of 12 and 8.
B) Multiply the difference of 12 and 8 by the product of 5 and 3.
C) Multiply the difference of 5 and 3 by 8, then subtract 12.
D) Subtract 12 from the product of 5 and 3, then multiply by 8.

Answers

Answer:

D.

Explanation:

PEMDAS method. First do the parentheses. Multiply first, then subtract 12 from that number. Once finished with the parentheses, multiply by 8.

Whats the y-int?
Whats the domain and range?

Answers

Answer:

Y intercept is (0,50) or b=50

Describe the transformation of the graph of f into the graph of g as either a vertical stretch or compression. (Be sure to include the stretching/compression factor as well f(x) = √x and g(x) =5√x​

Answers

This is stretch five times

Solve for x:
x/7 - 6 = 3

A. 27
B. -63
C. -27
D. 63

Answers

Answer:

D. 63

Step-by-step explanation:

First, add 6 to both sides:

[tex]\frac{x}{7}[/tex] - 6 = 3

[tex]\frac{x}{7}[/tex] = 9

Multiply each side by 7

x = 63

So, the correct answer is D. 63

Simplify 6⋅ (x+3)

Apply the distributive property.

6x+6⋅3=x⋅76x+6⋅3=x⋅7

Multiply 66 by 33.

6x+18=x⋅76x+18=x⋅7

Move 77 to the left of xx.

6x+18=7x

Move all terms containing x to the left side of the equation.

subtract 7x7x from both sides of the equation.

6x+18−7x=06x+18-7x=0

Subtract 7x7x from 6x6x.

−x+18=0-x+18=0

Subtract 1818 from both sides of the equation.

−x=−18-x=-18

Multiply each term in −x=−18-x=-18 by −1

Multiply −1-1 by −1-1.

1x=(−18)⋅−11x=(-18)⋅-1

Multiply xx by 11.

x=(−18)⋅−1x=(-18)⋅-1

Multiply−18-18 by −1-1.

x=18

what is the value of 2 ones, 8 tenths and 14 hundredths​

Answers

Answer:

2.814

Step-by-step explanation:

Answer:

14802

Step-by-step explanation:

Im struggling a bit can someone help me :)

Answers

Answer:

1

Step-by-step explanation:

find the solution of given expression

[tex] \sqrt{2545 \times 2545} [/tex]


Answers

Answer:

√{2545×2545}=√2545²=±2545

Which one is the height?

Answers

Answer:

The 3mm

Step-by-step explanation:

Answer:

3m is the height or altitude.

what percent can you turn 3/2 into

Answers

Answer:

150℅

Step-by-step explanation:

3/2×100/1

2 in 100=50

so50×3=150℅

1.02 sinusoidal graph
WHAT IS THE AMPLITUDE OF THE SINUSOIDAL FUNCTION?
Enter your answer in the box.

___

Answers

Answer:

[tex]\displaystyle 5[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{32}{39}} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

OR

[tex]\displaystyle \boxed{y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1\frac{25}{39}} \hookrightarrow \frac{-\pi}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5cos\:\frac{39}{64}\pi{x} + 1,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between both photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle \frac{32}{39}\:unit[/tex]to the right, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{32}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you get [tex]\displaystyle \boxed{-\frac{32}{39}} = \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1.[/tex]Intermediate, we have two sine graphs [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5sin\:\frac{39}{64}\pi{x} + 1.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle 1\frac{25}{39}\:unit[/tex]to the right, which means that in order to match the leftward sine graph, we need to shift the graph BACKWARD [tex]\displaystyle 1\frac{25}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-1\frac{25}{39}} = \frac{-\pi}{\frac{39}{64}\pi}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-6\frac{22}{39}, 1],[/tex]from there to [tex]\displaystyle [-3\frac{11}{39}, 1],[/tex]they are obviously [tex]\displaystyle 3\frac{11}{39}\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 3\frac{11}{39}.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and in case you want to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended five units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. So, overall, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Independent Practice


Complete the statement.0.25 m= cm


A.
25


B.
0.0025


C.
2.5


D.
250

Answers

Answer:

0.25 meters is the same as A. 25 centimeters

Explanation:

multiply the length value (0.25) by 100 to get to cm from m

hope this helps chu <3

Ok so the answer is b

On a bicycle ride, Betty rode 7 miles in 2 hours.
At the same rate of speed, how far could she ride in 8 hours?

Answers

Answer:

28

Step-by-step explanation:

I'm not sure if this is right

She rode 7 miles in 2 hours, so because she is going at the same speed you times/multiply 7 x 4 in order to determine the miles. I timed it by 4 because 2 hours times 4 = 8 hours.

Hope that helped because I believe it is right :)

PLZ PLZ HELP!! BRAINLIEST IF RIGHT!!

Answers

4xy^2 4*squareroot*xy ?

ill mark brainlist plss help

Answers

Answer:

18.5

Step-by-step explanation:

I need showing work for this question for finding the volume of it

Answers


Volume of rectangular prism:
V=l•w•h
V=6•1 2/3•3 1/3
V=4
The formula for finding volume of a rectangular prism is
V = l * w * h
Where l is length = 6yd
w is width = 1 2/3
( 1 2/3 can be rewritten as 5/3)
h is height = 3 1/3
( 3 2/3 can be rewritten as 11/3)
we then want to plug them into our formula
V = 6 * 5/3 * 11/3
We then multiply our fractions so we can just multiply across to get
V = 30/3 * 11/3
V = 330/9
Which we can simplify and get
V = 110/3 yd^3

plz help highly appreciate

Answers

Answer:

A)

Day 1: $5

Day 2: $10

Day 3: $ 15

Day 4: $20

Day 5: $25

Day:6 $30

B) Y = 5x + 10

I'm not sure how to do Letter c, apologies.

Step-by-step explanation:

Mrs. Joyce baked apple pies for her family. The boys ate 2/3 of a pie and the girls ate 1/2 of a
pie. How much more pie did the boys eat than the girls?

Answers

The boys ate 1/4 more than the girl.

please help....

The equation y Bakery over time. 0.25% + 5 represents the line of best fit for the average customer rating at Austin's What was the starting average customer rating? Enter the answer as the correct value.​

Answers

Answer:

Starting average customer rating was 5.

Step-by-step explanation:

Equation representing the average customer rating at Austin's bakery over time is,

y = 0.25x + 5

Here, 'x' represents the time or duration.

Starting average customer rating means value of y at x = 0.

Therefore, y = 0.25(0) + 5

y = 5

Starting average customer rating was 5.

Answer:Starting average customer rating was 5.

Step-by-step explanation:

In ABC, what is the measure of C?

108°

20°

18°

36°

Answers

Answer:

36

Step-by-step explanation:

b is 3x bigger then a and c but all add to 180

so 108 is b you have 72 left 72/2 for and c is 36

6x+2x+2x=180(angles in a triangle add up to 289)
10x=180
X=180/10
X=18
Angles C=2x
2x=18x2
Angle C=36

Which point is located on the line represented by y = -3x + 4? A) (4,8) B) (4-8) C) (-4, 8) D) (-4,-8) ​

Answers

Answer:

B

Step-by-step explanation:

To determine which point lies on the line, substitute the x- coordinate of the point into the equation and if the value equals the y- coordinate of the point then it lies on the line.

A (4, 8)

y = - 3(4) + 4 = - 12 + 4 = - 8 ≠ 8 ← not on line

B (4, - 8 )

y = - 3(4) + 4 = - 12 + 4 = - 8 ← lies on line

C (- 4, 8 )

y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ 8 ← not on line

D (- 4, - 8 )

y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ - 8 ← not on line

The point lying on the line is (4, - 8 ) → B

5 in
3 in
8 in
4 in
Find the lateral surface area of the triangular prism.
A)
84 in?
B)
90 in?
o
96 in 2
D)
104 in

Answers

Answer:

I would say that C is the correct answer

Is anyone able to help me with this question rq pls

Answers

Answer:

B. 196πx² + 392πx + 196π

Step-by-step explanation:

Total surface area of a sphere = 4πr²

Radius, r = 7x + 7

Total surface area of a sphere = 4πr²

= 4 * π * (7x + 7)²

= 4π * (7x + 7) * (7x + 7)

= 4π * 49x² + 49x + 49x + 49

= 4π * (49x² + 98x + 49)

= 196πx² + 392πx + 196π

B. 196πx² + 392πx + 196π


1. A coin is tossed and a single die is rolled. What is the theoretical
probability that the coin shows tails and the die shows an even number?
1/4
1/2
3/6
1/3

Answers

Answer:

A

Step-by-step explanation:

The chance the coin will show 'tails' is 1/2, since there are only 2 sides to a coin. The chance that the die will show an even number is also 1/2, since half of the numbers on a die are even, and half are odd. But, since both of these events depend on each other, or in other words, are dependent, we have to multiply both numbers. 1/2 x 1/2 = 1/4, therefore your answer is A.

The answer is (A) I just took the test
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