Kaitlyn opens an account with an initial deposit of $7,250. The account earns 10% interest compounded annually. What is the amount of interest earned after 18 months if no additional money is deposited or withdrawn?

Answer:

c. 56 degrees

Step-by-step explanation:

angle FEG and angle DEG add up to 180.

2x-6+3x-31=180

x=31

2(31)-6=56

The measure of angle ∠ FEG is,

∠ FEG = 56°

We have to given that,

Angles are defined as,

∠ FEG = (2x - 6)°

∠ DEG = (3x + 31)°

Here, Angles FEG and angle DEG are linear pair.

Hence, angle FEG and angle DEG add up to 180.

2x - 6 + 3x + 31 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155 / 5

x = 31

Therefore, The measure of angle ∠ FEG is,

∠ FEG = (2x - 6)°

∠ FEG = (2 × 31 - 6)°

∠ FEG = (62 - 6)°

∠ FEG = 56°

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Answer:

The correct option is b.

Step-by-step explanation:

To find the number of solutions, we need to solve the equation:

[tex] 5x + 3(x - 1) = 10x - x - 5 [/tex]

Let's group all the "x" on the equation.  

[tex] 5x + 3x - 10x + x = 3 - 5 [/tex]              

Now, let's solve for "x".

[tex] -x = -2 [/tex]                

[tex] x = 2 [/tex]    

Therefore, the equation has one solution. The correct option is b.

I hope it helps you!            

Answer:

4

thank youuuu

Step-by-step explanation:

have a good day

Answer:

Step-by-step explanation:

so the base times the height Princessa ,   b/c there are 2 triangles we don't have to take 1/2 like you would normally for a triangle

for the volume:

the end triangles are 4x6 = 24

length is 10

24*10=240 [tex]cm^{3}[/tex]   for the volume

for the surface:

2*(10*5) = 100

1*(10*6)=60

2*(4*6)=48

208 [tex]cm^{2}[/tex]   for the surface area

Answer:

because it does not follow the rule... you should be able to and any to side lengths and get an answer greater than the third side.

Answer:

im not sure but...

Step-by-step explanation:

divide 10 from 3.14 and you should get the answer if not then multiply 10 to 3.14

Answer:First one is equilateral triangle Second one is 85  

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

The first one is equilateral triangle. The second answer is 85.

32+63+x = 180

x= 180 - (32+63)

x = 180 - 95

x = 85

Answer:

12

Step-by-step explanation:

18 x 2/3 = 36/3 = 12

2/3 of 18

2/3×18

2×6

12

hope this helps:)

Answer:

1. 25

2. 24

equations below

Step-by-step explanation:

Order of operations is: PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction

1. 5 x (20/4)

normally we multiply before we divide, but in this case, the division is in parentheses, so we start there

= 5 x 5

then multiply

= 25

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

2. The lovely land of exponents

6^2 (the only way I can type 6 squared, or 6 to the power of 2, where the 2 is up as a superscript)

6^2 - 2 x 6

PEMDAS has us do the exponents before multiplication or subtraction:

6^2 = 6 x 6 = 36

= 36 - 2 x 6

then multiply:

= 36 - 12

then subtract:

= 24

Hello!

[tex]\large\boxed{x = 3}[/tex]

2x + 1 = 5x - 8

Solve by subtracting both sides by 2x:

2x - 2x + 1 = 5x - 2x - 8

1 = 3x - 8

Add 8 to both sides:

1 + 8 = 3x - 8 + 8

9 = 3x

Divide both sides by 3:

9/3 = 3x/3

x = 3

Answer:

x = 3

Step-by-step explanation:

1. Write the equation

2x + 1 + 5x - 8

2. Add 8 on both sides

2x + 9 = 5x

3. Get the variables together

9 = 3x

4. Solve for x and divide both sides by 3

x = 3

Answer: y = –0.89x^2 + 3.24x + 11.93

Step-by-step explanation:

Answer:

1283 miklis

Step-by-step explanation:

Answer:

Let / l : the lenght of the rectangle

w : the wide of the rectangle

Step-by-step explanation:

[tex]a = l \times w \\ 221 = (w + 4) \times w \\ 221= w^{2} + 4w \\ {w}^{2} + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile[/tex]

I hope that is useful for you

Responder:

3

Explicação passo a passo:

Dado :

Total de brinquedos:

Bonecas = 21

Carros Roy = 18

Figuras de ação = 15

Número total de brinquedos = (21 + 18 + 15) = 54 brinquedos

Número de brinquedos por prateleira = 18

Número de prateleiras:

Número total de brinquedos / número de brinquedos por prateleira

Número de prateleiras = 54/18

Número de prateleiras = 3

3 prateleiras estão na vitrine

Answer:  

No  

Step-by-step explanation:  

She needs at least another 2 coordinate pairs to test if her evaluation is correct. For instance, the next pair could be (7,22). Then, the pattern wouldn't be increasing by 4. It would not have a constant of proportionality.

Answer:

there is no gragh

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total area is the sum of the areas of the rectangle and the triangle:

Answer:

area of figure =area of (rectangle+TRAINGLE)

=l×b+1/2 p×b=10×5+1/2 ×3×10=50+15=65 inch² is your answer

Answer:

700 ft.

Step-by-step explanation:

Answer:

2040

Step-by-step explanation:

We know Appleville is predicted to double its population every 10 years, while Brigdetown simply adds 1000. Doing the math, the 2040 Census will be the first one where Appleville's population (8,000) will be larger than Bridgetown's (7,000).

Appleville: 1,000 * 2³ = 1,000 * 8 = 8,000 people in 2040

Bridgetown: 4,000 + 3(1,000) = 4,000 + 3,000 = 7,000 people in 2040

8,000 > 7,000, so 2040 will be first census year where Appleville is larger than Bridgetown. (I know this is extra, but if this was asking for first year overall, then it would be 2037. 6,800 > 6,600)

Answer:

2040

Step-by-step explanation:

i got it right

Answer:

[tex]8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m][/tex]

Step-by-step explanation:

Given

[tex]8p - 3n + 4q -9m[/tex]

Required

The equivalent expression

[tex]8p - 3n + 4q -9m[/tex]

Rewrite:

[tex]8p - 3n + 4q -9m = 8p + 4q- 3n -9m[/tex]

Group to 2

[tex]8p - 3n + 4q -9m = [8p + 4q]- [3n +9m][/tex]

Factorize each group

[tex]8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m][/tex]

Solved

Answer:

1. 13578 hours

2. 2.07264 m

3. 68038.856 grams

4. 129600 seconds

5. 46,300 Meters

Step-by-step explanation:

Don't forget me to mark me as brainliest ☺

Answer:

1. 13578 hours

2. 2.07264 m

3. 68038.856 grams

4. 129600 seconds

5. 46,300 Meters

Step-by-step explanation:

Don't forget me to mark me as brainliest ☺

Answer:

11

Step-by-step explanation:

To convert kg to pounds you would multiply 5×2.205 which would equal 11.02500. If we round it would be 11

What is ten more than 90?

90+10=100

Answer:

100

Step-by-step explanation:

90 + 10

Answer:

Answer:

surface area≈126.65

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·7+5·7+5·7+1

2·﹣54+2·(5·5)2+2·(5·5)2﹣54+2·(5·5)2﹣54≈126.65064

Answer:

angle bcf = 113 degrees :)

Step-by-step explanation:

angle bca and angle dcf equal 134 in total

360-134= 226

226/2=113

Answer:

113

Step-by-step explanation:

Remark

<BCA and <BCF are on the same straight line. That means when added, they equal 180 degrees.

Givens

<BCA = 67

Two Parallel lines

1 Transversal

Solution

<BCA + < BCF = 180

67 + <BCF  = 180

<BCF = 180 - 67

<BCF = 113

Answer:

when opening the bracket remember that the value outside the bracket will be used to multiply the value inside the bracket