Shani borrowed $5000 at an annual interest rate of 4% compounded yearly. William borrowed the same amount of money at an annual interest rate of 6% compounded yearly. How much more interest will William pay than Shani at the end of 3 years?

Answer:

A. AAS(Angle-Angle-Side)

Step-by-step explanation:

From the image, you can already see 1 angle and 1 side measured.

But, angle KLJ and angle MLN are congruent to each other as well because they are vertical angles (angles on opposite sides). And vertical angles are always congruent to each other.

So in total, we have 2 angles and 1 side congruent to each other,

<KLJ and <MLN

<LKJ and <LMN

KJ and MN

From the other (based on the image), they are ordered in a angle angle, side format. So the answer is AAS.

Hope I was able to help! Good Luck!

Answer:

a). Yes. Area will be less than 100 square in.

b). Area of octagon = 82 in²

Step-by-step explanation:

From the picture attached,

a). Octagon is inscribed in a square having one side = 10 inches.

Since, octagon is obtained by cutting off the four equal corners of the square,

Area of octagon will be less than the area of the square.

Area of square = (side)²

                         = 10²

                         = 100 in²

Therefore, area of octagon will be less than 100 in²

b). Since, corner cut off from the square are equal in shape and area,

   Area of one corner (right angle triangle) = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                                      = [tex]\frac{1}{2}(3)(3)[/tex]

                                                                      = 4.5 in²

   Area of 4 corners = 4.5 × 4 = 18 in²

   Area of octagon = Area of square - Area of 4 corners removed

                               = 100 - 18

                               = 82 in²

Answer:

d. $13.35

Step-by-step explanation:

subtract

i am so sorry if this is wrong! hope this helps:)

Answer:

20%

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

"If the expression has exponents or square roots, they are to be performed after parentheses and other grouping symbols have been simplified and before any multiplication, division, subtraction and addition that are outside the parentheses."

Answer: 14

Step-by-step explanation:

The area of the rectangle is 44 square inches larger than the area of the square.

The area of a rectangle is defined as the product of the length and width.

Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.

So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.

Since the area of the rectangle is given as 80 square inches, we can set up the equation:

s² + 9s - 10 = 80

Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.

The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.

Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

Answer:

2/-2

Step-by-step explanation:

X-axis is first and Y-axis

Answer:

Slope: [tex]m=-\frac{1}{2}[/tex]

y-intercept: [tex](0,-1)[/tex]

Equation: [tex]y=-\frac{1}{2}x-1[/tex]

Step-by-step explanation:

Slope-intercept form of an equation is written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The slope of a line that passes through the points [tex](x_1,\: y_1)[/tex] and [tex](x_2, \: y_2)[/tex] is [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. Using the coordinates [tex](-2, 0)[/tex] and [tex](2,-2)[/tex] as given in the problem, we have slope of this line to be:

[tex]m=\frac{-2-0}{2-(-2)}=\frac{-2}{4}=-\frac{1}{2}[/tex].

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:

[tex]0=-\frac{1}{2}(-2)+b, \\ b=-1[/tex]

Therefore, the equation of this line in slope-intercept form is [tex]\fbox{$y=-\frac{1}{2}x-1$}[/tex].

The y-intercept occurs when [tex]x=0[/tex]:

[tex]y=-\frac{1}{2}(0)-1, \\\\y=1[/tex]

Thus, the y-intercept is

[tex](0, -1)[/tex]

Answer:

Let

Total number of people (T)=1600

those satisfied with the car (t) =720

The percentage of the satisfied people(S)= number of satisfied people divided by the total number of people who took part in the survey, multiplied by 100

=> S=(T/t)*100

S=(720/1600)*100

S=45%

Step-by-step explanation:

Answer:

The answer is 4/3 or 1.33 square units.

Step-by-step explanation:

Length = 1 + 7/9 = 16/9 units.

Width = 3/4 units.

Since area of rectangle = Length * Width

Area = 16/9 * 3/4 = 4/3 square units.

Answer:

Length 3

Width 3

Height 4

Step-by-step explanation:

Length x Width x Height

3 x 3 x 4 = 36 cm :)

Answer:

Combinations could include:

2, 3, 6

6, 6, 1

3, 3, 4

4, 9, 1

Answer:

(0,-5)

Step-by-step explanation:

This is the y intercept I graphed it

Answer:

(0,-5)

Step-by-step explanation:

3y-5x=-15

Add 5x on both sides

3y=5x-15

Divide each side by 3

y=5/3x-5

y=mx+b

b is the y-intercept

b=-5

Therefore (0,-5) is the answer

Answer:

y=2x is it I think because the y intercept is the origin

Step-by-step explanation:

❀[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Then, Increment of the marks = 30 - 20 = 10

❀ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

❀ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{Percentage \: of \: increment = \frac{Increase \: of \: marks}{Initial \: marks} \times 100\%}}[/tex]

⇒ [tex] \sf{ \frac{10}{20} \times 100\%}[/tex]

⇒ [tex] \boxed{ \sf{50 \: \%}}[/tex]

[tex] \pink{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{50\%}}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.

For x=0, ...

  y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept

For x=1, ...

  y = -4·1 -1 = -5 . . . . the point is (1, -5)

The attached graph shows these points and the line through them.

Answer:

B

Step-by-step explanation:

I used desmos

Step-by-step explanation:

Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.  

x + (x + 8) + (x + 13) = 72

Now we can rearrange and solve for x.

3x + 21 = 72

3x = 51

x = 17

Answer:

The answer is 3 :D

pls give brainliest

27*9=3

Answer:

Yes it is! good job

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

360-(<XYZ + <WYZ)

Step-by-step explanation:

Angles around a point add up to 360°

hope it helps! please mark me brainliest

thank you! have a good day ahead

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Answer:

40 miles per hour.

Step-by-step explanation:

100 miles/2.5 hours = 40 miles per hour.

I might be wrong though.

Answer:

I got B

75+20+85=180

Answer:

x + y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

x + (x - y) + y + (y - x)

Step 2: Simplify

Answer:

RT is corresponding to TY

Hence, we conclude that:

Step-by-step explanation:

Given

△RST ≅ △TXY

It means the triangles △RST and △TXY are congruent to each other.

We know that congruent triangles have equal corresponding parts.

Please check the attached graph.

From the graph, it is clear that:

We need to determine RT

as

RT is corresponding to TY

i.e. RT = TY

Hence, we conclude that:

Answer:

10

Step-by-step explanation:

Answer:

Angle R is equal to 35 and DE is equal to 48

Step-by-step explanation:

In similar triangles, like these, the angles will always be the same to its correspondent. Angle E in the other triangle is 35 degrees so R, its corresponding angle, will be the same. So therefore R is 35.

This is not the same case for sides. There will always be a ratio between both triangles. The ratio in this case is 1.2 to 1. So multiply RP (DE's corresponding side), by 1.2. You will get 48. So therefore DE is equal to 48.

Hope this helped! Please mark me as brainliest!

Answer: [tex]\dfrac14[/tex]

Step-by-step explanation:

Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.

Let  orange candy= cherry = lemon = strawberry  = x

Total candies = x + x + x + x= 4x

The probability that a randomly selected candy is orange = [tex]\dfrac{x}{4x}=\dfrac14[/tex]

Hence, the probability that a randomly selected candy is orange = [tex]\dfrac14[/tex]

Answer:

[tex]D. k \leq -25[/tex]

Step-by-step explanation:

[tex]2 - \frac{k}{5} \geq 7\\-2\\\frac{-k}{5}^{-5} \geq 5^{-5} \\k \leq -25[/tex]

Answer:

D. k≤ - 25  

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Answer:

3/4   and  2/5 have a common denominator of 20, so re-write

15/20x - 2 = 8/20       Now multiply both sides by 20

15x-40 = 8

Step-by-step explanation:

hope this helps!! good luck!!

Answer:

$29.66

Step-by-step explanation:

6% taxes is 1.68 , 27.98+ 1.68= $29.66

Sales tax:

[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]

[tex]\\ \tt\longmapsto 1.67[/tex]

Total=