To buy a car, Rachel
borrowed $3,000 at
9% interest per
year for 3 years
How much money
did she have to pay
back?

Answer:

X=-7

Step-by-step explanation:

X*5-4=3(X*3+8)

5x-4=9x+24

-4=4x+24

-28=4x

-7=x

Answer:

mean = 24

Step-by-step explanation:

From inspection, there are 7 values.

The values are 12, 13, 15, 28, 28, 30, 42

To find the mean, sum the numbers: 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Divide by the number of values:  168 ÷ 7 = 24

Therefore, mean = 24

Answer:

Step-by-step explanation:

Number series : 9, 14, 19, 24

First term = a1 = 9

common difference = a2 - a1 = 14 - 9=5

Find the nth term:

an = a1 + + (n - 1)d

an = 9+ (n - 1)(5)

an = 9+5n - 5

an = 4 + 5n

Find the 10th term:

an = 4 + 5n

a10 = 4 + 5(10)

a10 = 4 + 50

a10 = 54

Find the 50th term:

an = 4 + 5n

a50 = 4 + 5(50)

a50 = 254

Find the difference between the 10th and

50th term:

Difference = 254 - 54 = 200

Answer: The difference is 200

Given the data from the question, the difference between the 10th term and the 50th term is 200

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ = a + (n – 1)d

T₁₀ = 9 + (10 – 1)5

T₁₀ = 9 + (9)5

T₁₀ = 9 + 45

T₁₀ = 54

Tₙ = a + (n – 1)d

T₅₀ = 9 + (50 – 1)5

T₅₀ = 9 + (49)5

T₅₀ = 9 + 245

T₅₀ = 254

Difference = T₅₀ – T₁₀

Difference = 254 – 54

Difference = 200

Learn more about arithmetic sequence:

https://brainly.com/question/16130064

Answer:

Ans is D

Step-by-step explanation:

Answer:

163°

Step-by-step explanation:

Since those 2 arrows are straight lines that go through each other, angles that are opposite are the same. So the opposite of y is 163°.

Answer:

x=67 degrees

Step-by-step explanation:

2x + 46 = 180

2x = 134

x = 67

Answer: Sometimes, two or more different triangles can be made with three given measures. For example, here are two different triangles that can be made with an angle measuring and side lengths 6 and 8. Notice the angle is not between the given sides.

Step-by-step explanation:

Step-by-step explanation:

you know how to multiply two expressions ?

every term of every expression is multiplied with every term of the other expression and the results are added (while considering any specific signs, if course).

(2x² + 3)(2x² - 3) = 2x²×2x² + -3×2x² + 3×2x² + 3×-3 =

4x² - 6x² + 6x² - 9 = 4x² - 9

and that is exactly the right side of the original equation.

so, it is correct.

Answer:

Step-by-step explanation:

Connect the center with A and C:

Use Pythagorean to find half of AB:

Similarly, find the length of CD:

Length of AB = 16 cm

h² = p² + b²

10² = 6² + b²

100 = 36 + b²

[tex]b = \sqrt{64} [/tex]

[tex]= 8 cm[/tex]

[tex]AB = 8 + 8[/tex]

[tex]= 16 cm[/tex]

Answer:

False, the area will be 9 times larger

Step-by-step explanation:

You are adding 3 to each dimension, and that extra 3 becomes 3 x 3 when finding area

[tex]\\ \tt\longrightarrow 3=\dfrac{3}{10}=0.3[/tex]

[tex]\\ \tt\longrightarrow 8=\dfrac{8}{10}=0.8[/tex]

[tex]\\ \tt\longrightarrow 15=\dfrac{15}{100}=0.15[/tex]

[tex]\\ \tt\longrightarrow \dfrac{18}{10}=1.8[/tex]

[tex]\\ \tt\longrightarrow 33=\dfrac{33}{100}=0.33[/tex]

[tex]\\ \tt\longrightarrow 49=\dfrac{49}{100}=0.49[/tex]

[tex]\\ \tt\longrightarrow 64=\dfrac{64}{100}=0.64[/tex]

[tex]\\ \tt\longrightarrow 108=\dfrac{108}{100}=1.08=1.1[/tex]

[tex]\\ \tt\longrightarrow 251=\dfrac{251}{1000}=0.251[/tex]

Answer:

value/total value • 100 = percentage

Step-by-step explanation:

if 5 out 100 kids have red backpacks then 5% of kids have red backpacks

5/100 • 100 = percentage

0.05 • 100 = percentage

5% = percentage

if 13 cars out of 41 have flat tires, then 32% of the cars have flat tires

13/41 • 100 = percentage

0.31707317073... • 100 = 31.707317073... %

depending on your precision, you may include as many decimal places as you like, unless the question specifies it.  For our example, we will round to 2 decimal places.

31.707317073... % = 31.71%

if you're looking to find percentages for probability, you will use the same equation.

the odds of flipping a coin and it landing on heads are 50%

possibilities:

Heads, Tails

there is one outcome where our result occurs out of the two possible outcomes

1/2 • 100 = percentage

0.5 • 100 = percentage

50% = percentage

Hope this helps and wasn't confusing

Answer:

670/1000 un simplified, 67/100 simplified

Answer:

1234567890987654321123456789 is the answer

Step-by-step explanation:

and also hey

Answer:

Step-by-step explanation:

the shape is a parallelogram => angle E = angle G & angle F= angle D;

=> 11x-2=132

11x=134

x=12,(18)degree

Answer:

$300.15

Step-by-step explanation:

The price of the golf club is 100% of its price.

The shipping and handling add 15% of the price.

That means he will pay a total of 115% of the price of the golf club.

115 of $261 = 1.15 × $261 = $300.15

Answer: $300.15

Answer:

area = 79.1cm²

perimeter = 41cm

Answer:

Area of triangle=b*h*1/2

Area of triangle having-

Base- 14cm

Height/Altitude-11.3cm

Area= 14*11.3*1/2

=158.2/2

=79.1cm square

Perimeter of Triangle= side+side+side

=15+14+12

=29+12

=41cm

Step-by-step explanation:

-

Hey there!

• When you hear the word “mean” in mathematics it usually defined as “average”.

• To find it you have to ADD all of the numbers DIVIDE all of the numbers you have in the given data plot.

YOUR EQUATION:

10 + 8 + 5 + 12 + 20 / 5

= 18 + 5 + 12 + 20 / 5

= 23 + 12 + 20 / 5

= 35 + 20 / 5

= 55 / 5

= 11

Therefore, your answer is: 11

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]y = \frac{4}{3}x + 2[/tex]

Step-by-step explanation:

Find the equation for the line in slope-intercept form: [tex]y = mx + b[/tex]

where m is the slope (gradient) and b is the y-intercept.

To find the slope (m)

Choose 2 points on the line:  (0, 2) and (6, 10)

Let (0, 2) = [tex](x_1,y_1)[/tex]

Let (6, 10) = [tex](x_2,y_2)[/tex]

Use the slope formula:  [tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{10-2}{6-0} =\frac{4}{3}[/tex]

Therefore, [tex]y = \frac{4}{3}x + b[/tex]

To find the y-intercept

The y-intercept is when x = 0 (where the line intersects the x-axis).

By inspection, the line intersects the y-axis at y = 2.  

Therefore, y-intercept = 2

So, [tex]y = \frac{4}{3}x + 2[/tex]

Answer:

Step-by-step explanation:

hope it helps you

Answer:

x=1/2,x=9

Step-by-step explanation:

[tex]2x^{2} -19+9=0\\\\2x^{2} -18x-x+9=0\\\\2x(x-9)-1(x-9)=0\\\\(2x-1)(x-9)=0[/tex]

2x-1=0......I

x-9=0.......II

Solving I

2x-1=0

2x=1

x=1/2

Solving II

x-9=0

x=9

Answer:

y = 90

Step-by-step explanation:

Y is a right angle, and if we check, 90 + 90 = 180. The total angle sum of a straight line is 180 degrees.

Answer:

17 cm

Step-by-step explanation:

If the angle between V and W is 90°, then this implies that V and W are legs of a right triangle (and the distance between them is the hypotenuse).

Use Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle.

Let D = distance between V and W:

⇒ V² + W² = D²

⇒ 8² + 15² = D²

⇒ 289 = D²

⇒ D = √289

⇒ D = 17

Therefore, the distance from V to W is 17 cm

[tex]\huge \boxed{\sf 17\ cm}[/tex]

Pythagoras discovered that the square of the hypotenuse of a right-angled triangle, where one of the angles is 90 degrees, equals the sum of the squares of the other two sides.

[tex]\sf a^2 + b^2=c^2\\\\8^2 + 15^2=c^2\\\\ \sqrt{8^2 + 15^2} =c\\\\17=c[/tex]

Answer:

50x + 4.75 ≤ 200

Step-by-step explanation:

Let x = number of Adele tickets

Cost of 1 Adele ticket = $50

One-time service fee = $4.75

Therefore, 50x + 4.75 ≤ 200

Answer:

y = 5

Step-by-step explanation:

Isolate x to plug in to other equation

y   =   x  +  2

-y-x     -y-x

(- x = -y + 2) / -1

x = y - 2

Plug into other equation

y = 3(y-2) - 4

Distribute

y = 3y-6-4

y = 3y-10

-3y  -3y

(-2y = -10)/-2

y = 5

Answer:

1/5 to simplest terms

Step-by-step explanation:

[tex]\frac{3}{5}[/tex]×[tex]\frac{1}{3}[/tex]
To do this you simply multiply the numerators and you multiply the denominators:
3×1=3 (numerator)
5×3=15 (denominator)
[tex]\frac{3}{15}[/tex] = 1/5
To do the last step of making 3/15 to 1/5 I divided top and bottom by 3, that is how you simplify a fraction

Answer:

h=10

Step-by-step explanation:

5(2h+8)+60

5 × 2h = 10h

5× 8 = 40

10h + 40 + 60

40 + 60 = 100

10h = 100

100/10h

h=10