Michelle deposited $3,400 into an account. she made no additional withdrawals or deposits. michelle earned 1.95% annual simple interest on the money in the account. what was the total balance in her account at the end of 2.5 years? question 6 options: $165.75 $356.57 $3565.75 $1,657.50

Answer:

-2592

Step-by-step explanation:

this doesn't seem right but its what i got

5m long ladder placed against 4.3m up the wall.

the angle between the ladder and the ground.

Based on the given conditions, formulate: 

sin⁡x=4.3÷5

Evaluate the equation/expression:

x= 1.03527 or 2.10632

x= 1.03527°

or x= 2.10632°

Answer: C

Step-by-step explanation:

The 36 degree angle is inscribed in the unknown arc, so the arc measures 36(2)=72 degrees.

Answer: 3.6

Step-by-step explanation:

Answer:

[tex]2\frac{5}{8}[/tex], or [tex]\frac{21}{8}[/tex]

Explanation:

Use the Keep Change Flip method.  Change the sign to multiplication and flip the second fraction. [tex]\frac{3}{8}[/tex] × [tex]\frac{7}{1}[/tex]

Multiply the numerators and the denominators separatley.  [tex]\frac{3}{8}[/tex]×[tex]\frac{7}{1}\\[/tex]=[tex]\frac{21}{8}[/tex]

This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).  [tex]\frac{21}{8} =2\frac{5}{8}[/tex]

Answer:

Circumference = 25.14 cm

Area = 50.28 cm²

Step-by-step explanation:

∴ Circumference = 2πr

⇒C = (2) (22/7) (4)

⇒C = 25.14 cm

∴ Area = πr²

⇒A = (22/7) (4)²

⇒A = 50.28 cm²

Hope that helps...

Answer:

Sum of diagonals = 20 units

Step-by-step explanation:

[tex]A(rectangle)=25\sqrt 3\: units^2\\w(rectangle) =5\: units[/tex]

To find: Sum of diagonals

[tex]A(rectangle)=l(rectangle)\times w(rectangle) [/tex]

[tex]\implies l(rectangle)=\frac{A(rectangle)}{w(rectangle)}[/tex]

[tex]\implies l(rectangle)=\frac{25\sqrt 3}{5}[/tex]

[tex]\implies l(rectangle)={5\sqrt 3}\: units[/tex]

Let the diagonals of the rectangle be [tex]d_1\:\&\:d_2\: units[/tex]

Diagonals of a rectangle are equal in measure.

[tex]\implies d_1=d_2=\sqrt{l(rectangle)^2+w(rectangle)^2}[/tex]

(By Pythagoras Theorem)

[tex]\implies d_1=d_2=\sqrt{(5\sqrt 3)^2+(5)^2}[/tex]

[tex]\implies d_1=d_2=\sqrt{75+25}[/tex]

[tex]\implies d_1=d_2=\sqrt{100}[/tex]

[tex]\implies d_1=d_2=10\: units[/tex]

[tex]Sum \:of \:diagonals = d_1+d_2[/tex]

[tex]\implies Sum \:of \:diagonals = 10+10[/tex]

[tex]\implies Sum \:of \:diagonals = 20\: units[/tex]

Answer:

x = 12.5

Step-by-step explanation:

17 = 2(x - 4)

17 = 2x - 8

17 + 8 = 2x - 8 + 8

25 = 2x

12.5 = x

Answer:

40 so C would be your answer.

The third quartile of the data set is 38.

Quartiles are statistical measures that divide a dataset into four equal parts, each representing 25% of the data. They are used to analyze the distribution and spread of data.

There are three quartiles: the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3).

To find the third quartile of a data set, we need to arrange the data in ascending order and then locate the value that divides the upper 25% of the data from the lower 75%.

Arranging the data set in ascending order:

14, 18, 20, 21, 25, 32, 38, 42, 48

The data set has 9 values, so the third quartile will be the value at the

(9 0.75)th position

= 6.75th position.

Since we can't have a fractional position, we round up to the nearest whole number, which is 7.

The value at the 7th position is 38. Therefore, the third quartile of the data set is 38.

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Answer:

See below

Step-by-step explanation:

Inscribed angles encompass twice as many degrees of arc as their angle measure

 soo    2* {   6x-5   +  x+17 } = 360

             shows x = 24      then ROP = x+17 = 41 degrees

Answer:

322, 468, 35, 48, 28.5

Step-by-step explanation:

23 times 14 is 322, 18 times 26, 5 times 7, 8 times 6, 3 times 9.5

Answer:

23x14=322ft

18x28=468ft

5x7=35ft

8x6=48ft

3x9.5=28.5

Step-by-step explanation:

hejdbsisugebe

Answer:

A = 120 cm^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is:

A = 2(area of the top) + 2(area of the front) + 2(area of one side)

Substituting the values:

A = 2(20) + 2(16) + 2(24)

First, distributing:

A = 40 + 32 + 48

Then adding, giving your final answer

A = 120 cm^2

Hope this helps you :)

Answer:

6cm^2

Step-by-step explanation:

right triangle equation:

bh/2

so

3*4=12/2=6

Answer:

12 Square Units

Step-by-step explanation:

the right triangle: 4 x 3 = 12 12/2 = 6

the left triangle: 4 x 3 = 12  12/2 = 6

Altogether: 6 + 6 = 12

Answer:

Step-by-step explanation:

Given:

Isolate the term of y from one side of the equation.

(3y+2)(y-1)

Use the foil method.

[tex]\underline{\text{FOIL METHOD:}}[/tex]

[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]

(3y+2)(y-1)=3yy+3y(-1)+2y+2(-1)

Solve.

[tex]\sf{3yy=3y^2}\\\\\\\sf{3y(-1)=-3y}\\\\\\\sf{2(-1)=-2}[/tex]

[tex]\sf{3y^2-3y+2y-2}[/tex]

Add or subtract the numbers from left to right.

Solutions:

[tex]\sf{-3y+2y=-y}[/tex]

[tex]\Longrightarrow: \boxed{\sf{3y^2-y-2}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

3y^2-y-2

Step-by-step explanation:

(3y+2)(y–1)

Use the FOIL method

First 3y * y = 3y^2

outer  3y * -1 = -3y

inner  2 * y = 2y

last  2 * -1 = -2

Add them together

3y^2 -3y +2y -2

Combine like term

3y^2-y-2

Answer:

option D is a correct answer AA postulate

The two triangles are similar by the AA postulate

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔEFG

Let the second triangle be ΔHJK

Now , the corresponding angles are

∠E = 25° = ∠H

So , the two angles are similar

And , the triangles are similar by the AA postulate

Hence , they are similar triangles

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Answer:

[tex]-\frac{1}{21}[/tex]

Step-by-step explanation:

The opposite of -2\3 is 2\3

-

-5\7 + 2\3

Least common multiple of 7 and 3 is 21. Convert -5\7 and 2\3 to fractions with denominator 21.

-

-15\21 + 14\21

Sinse -15\21 and 14\21  have the same denominator, add them by adding their numerators.

[tex]\frac{-15+14}{21}[/tex]

-

Add −15 and 14 to get −1.

-1\21

Answer:

Step-by-step explanation:

Total number of days

The number of days she bought a banana or orange

The probability of buying a banana or an orange is

Answer:

[tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]

Step-by-step explanation:

Given information:

Total number of days = 30

Probability Formula

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Probability of buying a banana:

[tex]\implies \sf P(Banana)=\dfrac{12}{30}[/tex]

Probability of buying an orange:

[tex]\implies \sf P(Orange)=\dfrac{9}{30}[/tex]

Therefore,

[tex]\implies \sf P(Banana) \: or \: P(Orange)=\sf \dfrac{12}{30}+\dfrac{9}{30}=\dfrac{21}{30}=\dfrac{7}{10}[/tex]

So the probability of buying either a banana or an orange is:

  [tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]

Answer:

(2x + y)(2x - y)

Step-by-step explanation:

1. Simplify the square 4x²:

(2x)² - y²

2. Apple the difference of two squares formula x² - y² = (x + y)(x - y):

(2x + y)(2x - y)

hope this helps!

Answer:

-125

Step-by-step explanation:

Twice a number is x*2

x*2 = 500 + x*6

=> x = -125

Answer:

Below!

Step-by-step explanation:

Since there is a variable (x) on the L.H.S and a constant (-7) on the R.H.S, the line will be a vertical line intersecting the x-coordinate (-7).

~Graph attached

Determining the y-intercept of the line:

Since the line is a vertical line, it's y-intersept is undefined as it will never intersect the y-axis.

Determining the slope of the line:

To determine the slope of the line, pick any two points that is on the line.

Using the slope formula (y₂ - y₁/x₂ - x₁):

∴ Any number divided by 0 is undefined

Thus, the slope and the y-intercept are undefined.

So

line will be parallel to y axis

no y intercept as parallel to y axis means it will never intercept y axis

Graph attached

Answer:

The answer is B.

Step-by-step explanation:

4x-7 = 2x+9

2x = 16

x = 8

And then we put x into the equations.

y = 32 - 7

y = 25

We then check it with the other equation just to make sure we are correct.

y = 16 +9

y = 25

Therefore, the answer is (8,25).

Answer:

3,000 numbers.

Step-by-step explanation:

First digit: 2, 3, 5, or 7 (primes)

Second digit: 0, 1, 2, 3, or 4 (less than 5)

Third digit: 0-9

Fourth digit: 0, 1, or 8 (cubic numbers)

Fifth digit: 1, 3, 5, 7, or 9 (odd numbers)

So we have 4 * 5 * 10 * 3 * 5 = 3,000 possible numbers.

Answer:

D

Step-by-step explanation:

It goes 2 down. The ' mark shows that it is the new one

The number or amount of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .

First step

Since 5 ounce sauce containing 50% tangy

Hence:

5 oz×.50 tangy

=2.50 oz-tangy

Second step

(5+x)×0.7=3.5+0.7x

Third step

2.50+0.75x=3.5+0.7x

Collect like term

0.75x-0.7x=3.5-2.50

0.05x=1

Divide both side by 0.05

x=1/0.05

x=20 ounces

Therefore the number of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .

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