Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How much money will she earn in interest over 6 years?

A.

$4,050

B.

$1,500

C.

$3,845

D.
4,500

Answer:

B. 2 x 40 x pi

Step-by-step explanation:

the other answer lead me to the correct answer. I just chose this option on TTM and it was correct.

An expression that can be used to find the circumference of the skating rink, in feet is: (B) 2 ⋅ 40 ⋅ π

The formula to find the Circumference of a Circle is:

C = 2πr

Where:

C is Circumference

r is radius

We are given that the radius is: r = 40 ft

Thus the circumference is:

C = 2 * 40 * π

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Answer:

the ratio of part time workers to total workers are 12/30

Answer:

B

Step-by-step explanation:

7x - 3y = 4

2x - 4y = 1

==============

A. if u take 7x - 3y = 4....and multiply it by 4, u get 28x - 12y = 16

   if u take 2x - 4y = 1...and multiply it by -3, u get -6x + 12y = -3

  These are equivalent equations

B. if u take 7x - 3y = 4...multiply it by 2, u get 14x - 6y = 8

  not equivalent

C. if u take 7x - 3y = 4, multiply it by -4, u get -28x + 12y = -16

  if u take 2x - 4y = 1, multiply it by 14, u get 28x - 56y = 14

   equivalent equations

Answer:

28x - 12y = 16 and -6x + 12y = -3

Ricky jogged 6 miles on tuesday and 6 miles on friday

Solution:

Given that,

Rick jogged the same distance on tuesday and friday

Let "x" be the distance jooged on each tuesday and friday

He also jogged for 8 miles on sunday

Total of 20 miles for the week

Therefore, we frame a equation as,

total distance jogged = miles jogged on tuesday + miles jogged on friday + miles jogged on sunday

20 = x + x + 8

20 = 2x + 8

2x = 20 - 8

2x = 12

x = 6

Thus Ricky jogged 6 miles on tuesday and 6 miles on friday

Final answer:

Rick jogged 6 miles each day on Tuesday and Friday. This was found by solving the equation 2x + 8 = 20, where 2x represents the total distance for Tuesday and Friday, and 8 miles is the distance for Sunday.

Explanation:

Rick jogged the same distance on Tuesday and Friday, and 8 miles on Sunday for a total of 20 miles for the week. Since Rick jogged the same distance on both Tuesday and Friday, we can let the distance he jogged on each of those days be represented by the variable x. The total distance jogged over these three days (Tuesday, Friday, and Sunday) can be represented by the equation 2x + 8 = 20.

To solve for x, first subtract 8 from both sides of the equation to isolate the variable:

2x + 8 - 8 = 20 - 8

2x = 12

Then, divide both sides by 2 to get the value of x:

2x / 2 = 12 / 2

x = 6

The distance Rick jogged on Tuesday and Friday was therefore 6 miles each day.

Answer:

c=45

Step-by-step explanation:

In triangle ABC, if a=12, b=10 and the measure of angle C=45 ..

Answer:

20.4

Step-by-step explanation:

Answer:

$500

Step-by-step explanation:

We are given;

We are supposed to determine the amount spent on food;

Therefore;

Amount on gas and hotel room = 3/5 × $2500

                                                     = $ 1500

Thus;

Remaining amount = $2500 - $1500

                                = $1000

But;

1/2 of the remainder was spent for the food

Thus;

Amount on food = 1/2 × $1000

                           = $500

Hence, the family spent $500 on food

The given equation is y + 2 = 4(x - 1)

The equation of the parallel line in the slope-intercept form is y = 4x - 7

Step-by-step explanation:

Parallel lines have

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y + 2 = 4(x - 1)

- Change its form to slope-intercept form to find its slope

∵ y + 2 = 4(x) - 4(1)

∴ y + 2 = 4x - 4

- Subtract 2 from both sides

∴ y = 4x - 6

- Compare it with the slope-intercept form to find m

∵ the slope-intercept form is y = mx + b

∴ m = 4

∵ The parallel lines have same slopes

∴ The slope of the parallel line is 4

- Substitute it in the form of the equation

∴ The equation of the parallel line is y = 4x + b

- To find b substitute x and y in the equation by the

   coordinates of a point on the line

∵ The parallel line passes through point (1 , -3)

∴ x = 1 and y = -3

∵ -3 = 4(1) + b

∴ -3 = 4 + b

- Subtract 4 from both sides

∴ -7 = b

∴ The equation of the parallel line is y = 4x + (-7)

∴ The equation of the parallel line is y = 4x - 7

The equation of the parallel line in the slope-intercept form is y = 4x - 7

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The expression (4r+6)÷2 can be used to represent the number of females on a team if r is used to represent the number of female team members. Otherwise, it represents what the variable r represents.

The expression (4r+6)÷2 represents an algebraic equation where r is a variable. If r is representing the number of female team members in a sport, then the value for r can be inserted into the equation to find the total. For instance if r=5, representing 5 female team members, the equation would then be (4*5+6) ÷2 = (20+6) ÷ 2 = 26 ÷ 2 = 13.

However, it's important to note that this equation does not inherently represent the number of females on a team. The value it represents is dependent on what the variable r is representing. If r represents something different, then the result would represent that different thing. Thus, the equation can only represent the number of females on a team if r is used to represent that.

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6.9

323.6/4=6.885

Round to the nearest tenth=6.9

Answer:

Elephant

Bengal tiger

Lion

Giraffe

Giant panda

Step-by-step explanation:

Answer:

The answer is 2,3,4 and ,6

Step-by-step explanation:

This is because 12,24,and 36 can all be divided by 2,,3,,4, and 6

Answer:

A Factor can be explained as combination of the numerator and denominator by which the demo is decided by the numerator

Answer:

factor a number means to break it up into numbers that can be multiplied together to get the original number. EXAMPLES: 6 = 3 x 2 so, factors of 6 are 3 and 2 9 = 3 x 3 so, factors of 9 are 3 and 3 Sometimes, numbers can be factored into different combinations.

Step-by-step explanation:

Answer:

X + 12x +35+3x + 15=16x+50

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

Answer:

its D in edge

Step-by-step explanation:

Answer:

The required Expression is

[tex]-90 \geq 18x[/tex]

Also for x Divide by 18 on both the side

[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]

Step-by-step explanation:

-90 greater than or equal to 18x .

It is the Algebraic Expression in Statement form.

Algebraic Expression is given in the form numbers and variables with the operands such as,

' + ' Plus Sign

' - ' Minus Sign

' > ' Greater Sign

' = ' Equal Sign

' ≥ ' Greater than or Equal to Sign ,etc.

Here -90 Greater than or Equal 18 x

Therefore , -90 ≥ 18x

The required Expression is

[tex]-90 \geq 18x[/tex]

Also for x Divide by 18 on both the side

[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]

Answer: = 4 + 0.5b i think

Answer:

9.01 maybe my math might be wrong

Step-by-step explanation:

Answer:

In total it would be $10.71

Step-by-step explanation:

Turn the percent into a decimal, 6% into 0.06. Then multiply that with 8.50.

8.50×0.06= 0.51

Now, turn 20% into a decimal and multiply that with 8.50.

8.50×0.20= 1.70

Then, add 0.51 and 1.70 to 8.50.

0.51+1.70+8.50= 10.71

The right answer is Option D.

Step-by-step explanation:

Given,

Retail price = $12,720

Destination charge = $460

Cruise control = $235

Defogger = $148

AM/FM radio = $153

Sticker price = Sum of all feature costs

Sticker price = 12720+460+235+148+153

Sticker price = $13716

The right answer is Option D.

Keywords: addition

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Final answer:

To find the vehicle's sticker price, add the suggested retail price to the destination charge and the costs of additional features, resulting in a total of $13,716.

Explanation:

The question involves calculating the total sticker price for a vehicle by adding up various costs. We start with the suggested retail price, then include the destination charge and the costs of the additional features such as cruise control, defogger, and an AM/FM radio.

To find the total sticker price, we simply add all of these amounts together:

Sticker Price = Suggested Retail Price + Destination Charge + Cost of Cruise Control + Cost of Defogger + Cost of AM/FM Radio

Sticker Price = $12,720 + $460 + $235 + $148 + $153 = $13,716

Therefore, the correct answer is d. $13,716.

The height of purse which is in trapezoid shape is 26 cm

Solution:

Clara has a purse in the shape of a trapezoid

The area of trapezoid is given by formula:

[tex]Area = \frac{a+b}{2} \times h[/tex]

Where,

"h" is the height

"a" and "b" are the parallel sides length

From given,

Area = 754 cm

a = 22 cm

b = 36 cm

h = ?

Substituting the values in formula,

[tex]754 = \frac{22+36}{2} \times h\\\\754 = \frac{58}{2} \times h\\\\Simplify\ the\ above\ expression\\\\754 = 29h\\\\Divide\ both\ sides\ of\ equation\ by\ 29\\\\h = 26[/tex]

Thus height of purse which is in trapezoid shape is 26 cm

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-\frac{8}{9}}) ~\hspace{10em} \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\left(-\cfrac{8}{9} \right)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+\cfrac{8}{9}=4x\implies y = 4x-\cfrac{8}{9}[/tex]

Slope-intercept form:   y = mx + b   [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y)]

Since you know:

m = 4

[tex]b=-\frac{8}{9}[/tex]        Plug it into the equation

y = mx + b

[tex]y=4x-\frac{8}{9}[/tex]

You can construct more than one triangle with Option 1) the measurement of two angles and option 2) the length of the included side, and Option 4) the lengths of the two sides and the measurement of the included angle.

Constructing triangles depends on the given information. According to the rules of geometry, 1) the measurement of two angles alone is not enough to construct a unique triangle. 2) With the measurement of two angles and the length of the included side (also known as Angle-Side-Angle or ASA), you can construct a unique triangle. 3) The measurements of all right angles is irrelevant as a triangle can have only one right angle. 4) With the lengths of two sides and the measurement of the included angle (also known as Side-Angle-Side or SAS), you can also construct a unique triangle.

Therefore, with the measurement of two angles and the length of the included side and the lengths of the two sides and the measurement of the included angle, you can construct more than one triangle.

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Answer:

[tex]r=4\\ \\s=3\\ \\t=-1[/tex]

Step-by-step explanation:

Given the system of three linear equations:

[tex]\left\{\begin{array}{l}-6r+5s+2t=-11\\ \\-2r+s+4t=-9\\ \\4r-5s+5t=-4\end{array}\right.[/tex]

Cheange the positions of the first and the second equations:

[tex]\left\{\begin{array}{l}-2r+s+4t=-9\\ \\-6r+5s+2t=-11\\ \\4r-5s+5t=-4\end{array}\right.[/tex]

Multiply the first equation by -3 and add it to the second equation and then multiply the first equation by 2 and add it to the third equation:

[tex]\left\{\begin{array}{r}-2r+s+4t=-9\\ \\2s-10t=16\\ \\-3s+13t=-22\end{array}\right.[/tex]

Multiply the second equation by 3, the third equation by 2 and add them:

[tex]\left\{\begin{array}{r}-2r+s+4t=-9\\ \\2s-10t=16\\ \\-4t=4\end{array}\right.[/tex]

From the third equation,

[tex]t=-1[/tex]

Substitute it into the second equation:

[tex]2s-10\cdot (-1)=16\\ \\2s+10=16\\ \\2s=6\\ \\s=3[/tex]

Substitute [tex]t=-1[/tex] and [tex]s=3[/tex] into the first equation:

[tex]-2r+3+4\cdot (-1)=-9\\ \\-2r+3-4=-9\\ \\-2r-1=-9\\ \\-2r=-9+1\\ \\-2r=-8\\ \\2r=8\\ \\r=4[/tex]

Hence,

[tex]r=4\\ \\s=3\\ \\t=-1[/tex]

Answer:

6.93 in

Step-by-step explanation:

[tex]A = s^{2}[/tex]

[tex]48 = s^{2}[/tex]

[tex]\sqrt{48} = \sqrt{s^{2} }[/tex]

[tex]s = 6.92820323028 in[/tex]

Answer:

Step-by-step explanation:

side = √48 = √4*4*3 = 4*√3 = 4 * 1.732 =6.928 in

Answer:

660

Step-by-step explanation:

y x .40= 264

solve for y

Final answer:

The answer is 64 green marbles.

Explanation:

To find out how many green marbles are there, we can set up an equation based on the given information. Let G represent the number of green marbles and R represent the number of red marbles. We know that the total number of marbles is 77, so we have the equation G + R = 77. We are also given that the number of green marbles is 1 less than 5 times the number of red marbles, which can be written as G = 5R - 1.

We can solve this system of equations by substituting the second equation into the first equation:

5R - 1 + R = 77

6R = 78

R = 13

Substituting the value of R back into the second equation, we can find the number of green marbles:

G = 5(13) - 1 = 64

Therefore, there are 64 green marbles in the bag.

The length of the path that Thomas runs on the circular path is approximately 4.71 miles.

Thomas is training for a race by running on a circular path. To find out the length of the path, we need to calculate the circumference of the circle using the radius provided (0.75 mile from the tree in the center of the circular path to the path).

The formula for the circumference of a circle is [tex]C = 2 \times \pi \times r,[/tex] where C is the circumference and r is the radius of the circle.

Substituting the given radius (0.75 mile) into the formula gives us: [tex]C = 2 \times \pi\times 0.75.[/tex]

By using 3.14159 as an approximation for π the calculation would be

[tex]C = 2 \times 3.14159 \times 0.75 = 4.71238875 miles.[/tex]

Therefore, the length of the path that Thomas runs on the circular path is approximately 4.71 miles.

Answer:

A,B,C

Step-by-step explanation:

When we look at her work, which you write in comment we can see that she make mistake. So lets answer your questions .

A) Because we cannot have 8.25 prints, we can just have integer 8 or 9. or some other integer.

B) explain Madeline mistake :

2(30-p)+5p=93 in this she needs to multiply 2 by 30 and 2 by -p, which she didnt.

C) When we correct mistake we can evaluate how much Chris sell.

60-2p+5p=93

3p=33

p=11

s=30-p=19

So, Chris sells prints 11 and sketches 19

Answer:

QR = 19

SR = 24

PT = 21

SQ = 20

m∠QRS = 74°

m∠PQS = 49°

m∠RPS = 39°

m∠PSQ = 57°

Step-by-step explanation:

Attached is the complete question:

By definition, a parallelogram is a quadrilateral, which means it has 4 sides where the opposite pairs are parallel to each other. These pair of sides are congruent.

With that we can assume the following:

PQ ≅ SR

PS ≅ QR

m∠PQR ≅ m∠ PSR

m∠QRS ≅ m∠ QPS

The given states that:

PQ ≅ SR

PS ≅ QR

then:

PQ = 24

PS = 19

So we know that:

QR = 19

SR = 24

When it comes to the angles, we have the following theorems:

Opposite angles (Opposite edges) are congruent

Consecutive angles are supplementary, or they sum up to 180°

We are given the following angles:

m∠PQR = 106°

m∠QSR = 49°

m∠PRS = 35°

Based on the theorems we know the following:

m∠PQR ≅ m∠PSR

m∠PQR + m∠QRS = 180°

Then:

m∠PQR + m∠QRS = 180°

106° + m∠QRS = 180°

m∠QRS = 180° - 106°

m∠QRS = 74°

In addition, m∠PSR = 106° and m∠QSR = 49° then when we add it to m∠PSQ it should be equal to m∠PSR

m∠QSR + m∠PSQ = m∠PSR

49° + m∠PSQ = 106°

m∠PSQ = 106° - 49°

m∠PSQ = 57°

Now notice that a parallelogram when you cut them in half, it makes two congruent triangles. All angles in a triangle sum up to 180° so we can assume that:

m∠PSR + m∠PRS + m∠RPS = 180°

So:

106° + 35° + m∠RPS = 180°

141° + m∠RPS = 180°

m∠RPS = 180° - 141°

m∠RPS = 39°

Following the same logic:

m∠QPS ≅ m∠QRS

m∠QPS  = 74°

m∠QPS + m∠PSQ + m∠PQS = 180°

74° + 57° + m∠PQS = 180°

131° + m∠PQS = 180°

m∠PQS = 180° - 131°

m∠PQS = 49°