Tracy put $80 into an investment account where she earns 4% interest per year. What was the amount of interest Tracy earned after three years

Answer:

42

Step-by-step explanation:

khanacademy

The measure of angle ABC by the given data is 57 degrees.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

∠ABD=70∘

Now,

To find the measure of angle ABC, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can write an equation using this fact and the given information:

m∠ABD + m∠CBD + m∠ABC = 180 70 + (5x + 13) + (3x + 33) = 180

To solve for x, we need to simplify and isolate it by performing the inverse operations on both sides. We can do this by following these steps:

Step 1: Combine like terms on both sides of the equation.

70 + 5x + 13 + 3x + 33 = 180 8x + 116 = 180

Step 2: Subtract 116 from both sides of the equation.

8x + 116 - 116 = 180 - 116 8x = 64

Step 3: Divide both sides by 8 to get x by itself.

8x / 8 = 64 / 8 x = 8

Now that we have the value of x, we can plug it into the expression for m∠ABC and simplify:

m∠ABC = 3x + 33 m∠ABC

= 3(8) + 33 m∠ABC

= 24 + 33 m∠ABC = 57

Therefore, by algebra the answer will be 57 degrees.

More about the Algebra link is given below.

brainly.com/question/953809

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Answer:I would say 12 I think

Step-by-step explanation:

Answer: 21.5 inches is the correct answer.

Answer:

Hi! The answer to your question is 234t-12

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

234t - 12

Step-by-step explanation:

12(18t) + 2t (9) - 12

12× 18t + 2t × 9 - 12

216t + 18t - 12

234t - 12

Answer:

-3.1, -3.2, -3.3, -3.4, -3.5, -3.6

Step-by-step explanation:

Answer:

y>0,        -3>x> -1

y<0,        -3<x<-1

y = 0,       x = -3 and x = -1

Step-by-step explanation:

Answer:

Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.

Have a good day!

Answer:

The bakery will bake 600 butterscotch bread, 550 chocolate bread, and 1,000 coconut bread

Step-by-step explanation:

In order to answer the word problem question, we list the parameters as follows;

The number of bread types the bakery takes = 3 types of bread

The monthly cost of the bakery for baking the bread, C = RM 6,850

The number of bread loaves baked = 2,150

The cost of baking a loaf of butterscotch bread = Rm 2

The cost of baking a loaf of chocolate bread = Rm 3

The cost of baking a loaf of coconut bread = Rm 4

The sale price of a butterscotch bread = Rm 3

The sale price of a chocolate bread = Rm 4.50

The sale price of a coconut bread = Rm 5

The amount of monthly profit the bakery makes, P = Rm 2,975

Therefore, the total revenue of the company, R = C + P

∴ R = Rm 6,850 + Rm 2,975 = Rm 9,825

Let 'x', 'y', and 'z', represent the number of loaves of butterscotch, chocolate, and coconut bread the company bakes respectively

Then we get;

x + y + z = 2,150...(1)

2·x + 3·y + 4·z = 6,850...(2)

3·x + 4.5·y + 5·z = 9,825...(3)

Multiplying equation (1) by 2 and subtracting from equation (2) gives;

2·x + 3·y + 4·z - 2×(x + y + z) = 6,850 - 2 × 2,150 = 2,550

2·x - 2·x + 3·y - 2·y + 4·z - 2·z = 2,550

∴ y + 2·z = 2,550...(4)

Adding equation (1) to (2) and subtracting from (3) gives;

3·x - 3·x + 4.5·y - 4·y + 5·z - 5·z = 9,825 - (6,850 + 2,150) = 825

1.5·y = 825

y = 825/1.5 = 550

The number of loaves of chocolate bread baked, y = 550

From equation (4), we get;

550 + 2·z = 2,550

2·z = 2,550 - 550 = 2,000

z = 2,000/2 = 1,000

The number of loaves of coconut bread baked, z = 1,000

∴ From equation (1) x = 2,150 - (550 + 1,000) = 600

The number of loaves of butterscotch bread baked, x = 600.

Step-by-step explanation:

3x + y = 11 ...(1)

2x - y = 4 ...(2)

From equation (1) we get,

3x + y = 11

x = 11 - y/3

Now, put the value of x = 11 - y/3 in equation (2) we get,

2x - y = 4

2(11 - y/3) - y = 4

22 - 2y/3 - y = 4

22 - 2y - 3y = 12

22 - 5y = 12

5y = 22- 12

5y = 10

y = 10/5

y = 2

Now, Put the value of y = 2 in equation (1)

3x + y = 11

3x + 2 = 11

3x = 11 - 2

3x = 9

x = 9/3

x = 3

Thus, The value of x is 3 and y is 2

3x + y = 11

3(3) + 2 = 11

9 + 2 = 11

11 = 11

2x - y = 4

2(3) - 2 = 4

6 - 2 = 4

4 = 4

Hence, L.H.S = R.H.S

-TheUnknownScientist

*see attachement for the triangles given

Answer:

PQ = 6.8

Step-by-step explanation:

Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:

LN/OQ = MN/PQ

LN = 5

OQ = 17

MN = 2

PQ = ?

Plug in the values

5/17 = 2/PQ

Cross multiply

5*PQ = 2*17

5*PQ = 34

PQ = 34/5

PQ = 6.8

Solution :

Cost of carpeting per square yard = $ 15.00

For 3 ft by 6 ft

1 yard = 3 feet

∴ 1 feet =  [tex]$\frac{1}{3}$[/tex] yard

So,

Therefore, area of 3 ft by 6 ft is = [tex]$3 \times \frac{1}{3} \times 6 \times \frac{1}{3} $[/tex]

                                                    = 1 x 2

                                                    = 2 square yard

Therefore, cost of carpeting 2 square yard = 2 x 15

                                                                       = $ 30

For 9 ft by 12 ft

1 yard = 3 feet

∴ 1 feet =  [tex]$\frac{1}{3}$[/tex] yard

So,

Therefore, area of 9 ft by 12 ft is = [tex]$9 \times \frac{1}{3} \times 12 \times \frac{1}{3} $[/tex]

                                                    = 3 x 4

                                                    = 12 square yard

Therefore, cost of carpeting 2 square yard = 12 x 15

                                                                       = $ 180

Answer:

Future Value, using...

 Simple Interest: $  

14,418.13

 Annually Compounded Interest: $  

14,692.25

Step-by-step explanation:

Answer:

-4(y - 2) = 12

Standard form:

−4y − 4 = 0

Factorization:

−4(y + 1) = 0

Solutions:

y = −4

4

= −1

Step-by-step explanation:

Answer:

y = x + 6

Step-by-step explanation:

Given:

Passes through (-4, 2)

m = 1

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = 1(x + 4)

y - 2 = x + 4

y = x + 6

Answer:

Simplified

Step-by-step explanation:

    1

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

19x +10

Answer:

7x+1

Step-by-step explanation:

1/2 (8x+6) + (3x-2)

distribute the 1/2 into (8x+6)   --- ( just means to divide by 2)

4x+3 + (3x-2)

then put common terms together

4x + 3x = 7x

+3 -2 = 1

= 7x + 1

Answer:

The mean of the data points is 2.

Step-by-step explanation:

The mean of data is all data point values added together and divided by the number of data points, or the average of all data points. All the numbers above added together is 42, and there are 21 data points, which means the mean of the data is [tex]\frac{42}{21}[/tex] or 2.

Answer:

2

Step-by-step explanation:

Add all the numbers up then divide by how many number there are to find the mean

4 + 2 + 4 +1+ 1+2+2+3+ 0+ 2+ 1+1+4 +2+5+2+1+1+0+ 2+2 =42

42 divided by 21= 2

EG is parallel to FH and AD is the transversal.

We know that the interior angles on the same side of the transversal are supplementary.

Angle EBC and Angle FCB are interior angles on the same side of the transversal.

So, Angle EBC + Angle FCB = 180°

=> Angle EBC + 76° = 180°

=> Angle EBC = 180° - 76°

=> Angle EBC = 104°.

Answer — 104°

Answer:

$2.21

Step-by-step explanation:

Given data

Cost = $13.00

Tip= 17%

Let us find the amount of the tip

=17/100*13

=0.17*13

=$2.21

Hence the tip is $2.21

Answer:

C. (0, -3) and (4, -3)

Step-by-step explanation:

Since (0, 1) and (4, 1) are 4 spaces apart, and the shape to be drawn is a square, each point has to be 4 spaces apart as well.

Hope this helps.

Answer: A. 74+28(7)=$382

B. 28 hours.

Step-by-step explanation: or b, what you need to do is minus 74 from 382. Then divided by 28.

Answer:

11 hours

Step-by-step explanation:

h = hours

382 = 74 + 28h

subtract 74 from both sides

308 = 28h

h = 11

Check:

382 = 74 +28(11)

382 = 308 + 74

382 = 382

Answer:

Well since he wrote the amount, he’s technically giving cash away so you basically jsut add everything.

98+456+29+381= 964

867-964= -97

His final balance would be -97

Here’s the thing, a checking account acts like a debit card. Its your own cold hard cash. That means you can’t give away more then you have.

So here are the two options

1) At least one or at most 2 checks must’ve bounced

2) He got more money in his checking account

Answer:

Step-by-step explanation:

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Answer:

A. (7, -6)

Step-by-step explanation:

While I am sure there is some kind of formula to use, I don't know it. I drew A and C on graph paper, then plotted the points here to see what would connect to form an isosceles triangle.

Answer:

its 3/5 so you just add the numerator to the numerator and add the denominator to the denominator.

Answer:

7/6 is the answer

Step-by-step explanation:

=(1/2+2/3)

taking L.C.M

=     (3+4)/6

=7/6

B is 20 degrees, c is 160 degrees.

A straight line is 180 degrees, but because there are 2 lines, they cut into each-other causing there to be 4 angles, 2 pairs of the same amount, let the known angle be angle A.

Angle A and angle B are the same, Angle A is 20 degrees meaning that angle B is 20 degrees, leaving 160 degrees to be what c equals

Angle B= 20 degrees

Angle C= 160 degrees

Answer:

 =  1 0

Step-by-step explanation:

Solve

1. Combine like terms

2  +  2 0  + 2  =  6 0

4  +  2 0  =  6 0

2. Subtract  20  from both sides of the equation

4  +  2 0  =  6 0

4  +  2 0  −  2 0  =  6 0  −  2 0

3. Simplify

4  +  2 0  −  2 0 =  6 0  −  2 0

4  =  6 0  −  2 0

4 =  6 0  −  2 0

4  =  4 0

4. Divide both sides of the equation by the same term

4x = 40

4x/4 = 40/4

5. Simplify

4x/4 = 40/4

x = 40/4

x = 40/4

x = 10

[tex] \bf \huge 500 \: k.g[/tex]

Step-by-step explanation:

⟼ 25/2 of 40 k.g

⟼ [tex]\cancel{25/2}[/tex] × 40 k.g

⟼ 12•5 × 40 k.g

⟼ 500 k.g

∴ 25/2 × 40 k.g = 500 k.g

Answer:

500kg

Step-by-step explanation:

as we know "OF" in mathematics means to multiply, so you have two ways

FIRST WAY:

SECOND WAY:

i hope its clear

Answer:

23,040 cm^3.

Step-by-step explanation:

The case will be 6 * diameter of a can in length,

= 6* 8= 48 cm.

The width will be 4 * 8 = 32 cm.

The height = height of each can

= 15 cm.

So the volume of the case = 15*32*48

= 23,040 cm^3.

Given:

The graph of a quadratic function opens downward and has its vertex at (0, 1).

To find:

The quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]          ...(i)

Where, a is a constant and (h,k) is the vertex.

If a<0, then graph opens downward and if a>0, then graph opens upward.

It is given that the quadratic function opens downward and has its vertex at (0, 1). It means a must be negative.

Putting h=0 and k=1 in (i), we get

[tex]y=a(x-0)^2+1[/tex]

[tex]y=ax^2+1[/tex]

For [tex]a=-1[/tex],

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

[tex]y=x^2+1[/tex]

So, option A is correct.

In other options the leading coefficient is positive it means their graphs open upward. So, options B, C and D are incorrect.

Therefore, the correct option is A.

Answer:

−x²−8x+8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

10=-2x+20

Step-by-step explanation:

Above line is incorrect. It should be 10=10x+20 . You add +6x to get 10x, not -6x.

then solve

10=10x + 20

-10=10x

-1=x

if you substitute -1 for x in the original problem, it equals:

-2(3(-1)-5)=4(-1+3)+8

-2(-8)=4(2)+8

16=8+8

16=16