What is the simple interest earned on a $4,350 investment for 5 years at a rate of 2%?

Answer:

Step-by-step explanation:

Q¹ = 7.5

Q³ = 17

IQR = Q³ - Q¹

IQR = 17 - 7.5

IQR = 9.5

Answer:

y = 1/4 (x-4)² - 7

Step-by-step explanation:

Point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6

√(x-4)²+(y- -8)² = √(y- -6)²

(x-4)² + (y+8)² = (y+6)²

(y+8)² - (y+6)² = (x-4)²

(y²+16y+64) - (y²+12y+36) = (x-4)²

y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²

4y = (x-4)² - 28

y = 1/4 (x-4)² - 7

standard formula of parabola: y = a(x-h)² + k      (h,k): vertex (4,-7)

The value of equation of parabola is,

⇒ y = 1/4 (x-4)² - 7

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.

Now,

Let a point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6

Hence, We can formulate;

⇒ √(x-4)²+(y- (-8))² = √(y- (-6))²

⇒ (x-4)² + (y+8)² = (y+6)²

⇒ (y+8)² - (y+6)² = (x-4)²

⇒ (y²+16y+64) - (y²+12y+36) = (x-4)²

⇒ y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²

⇒ 4y = (x-4)² - 28

⇒ y = 1/4 (x-4)² - 7

Thus, The value of equation of parabola is,

⇒ y = 1/4 (x-4)² - 7

Learn more about parabola visit:

https://brainly.com/question/29635857

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Answer:

A = 20 degrees

Step-by-step explanation:

Both legs of the triangles are 2x and equal, so we know that the triangle is isoceles. That means both acute angles are equal as well.

In a triangle there are 180 degrees

180 - 140 = 40

40 remainding degrees/ 2 equal angles

A = 20 degrees

Answer:

angle a = 20

Step-by-step explanation:

So like the person above me said

180-140=40

40 divided by 2 is 20

(I don't know if I can delete answers so I just fixed this one)

Answer:

10.5.

Step-by-step explanation:

By similar  triangles:

IJ / 21 = 8 /(8+8) = 1/2

IJ / 21 = 1/2

IJ = 1/2 * 21

= 10.5.

Answer:6x^3

Step-by-step explanation: That’s the biggest factor that can be taken out of both equations

Answer:

85 m.

Step-by-step explanation:

Use Pythagoras Theorem:

x^2 = 51^2 + 68^2

=  7225

x = √7225

= 85

Answer:

x≈5.3 feet

Step-by-step explanation:

[tex]\frac{4}{15} =\frac{x}{20}[/tex]

[tex]15x=80[/tex]

x≈5.3 feet

Answer:

5.3m tall

Step-by-step explanation:

15/4 = 3.75

20/3.75= 5.3333333

Answer:

Step-by-step explanation:

I think it is helpful to set this up as a proportion as it is the easiest way in my opinion.

1st step: 396/18 and x/11

This is the way you set up the proportion.

2nd Step: You would have to multiply 396 and 11 then divide the value by 18.

396x11 = 4,356

4,356/18 = 242

x=242 Dollars

Answer: 242 dollars

Therefore, Alan would make 242$ while working at the same rate for 11 hours.

Answer:

the answer is option B and option C

Step-by-step explanation:

Answer:

1024pi/3

Step-by-step explanation:

to find the volume of a sphere you use the equation 4/3*pi*r^3

4/3*pi*8^3

4/3*pi*512

2048/3 pi

This is the volume of the whole sphere but we only need half so we can just divide by 2.

(2048/3 pi)/2

1024/3 pi

Answer:

Step-by-step explanation:

10 times 10 times 60 = 6000

6000 - (1600 + 2000) = 2,400

Answer:

7200 [tex]in^3[/tex]

Step-by-step explanation:

volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)

[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]

Answer:

15 sq cm

Step-by-step explanation:

Let 3x = area of 1st rectangle

7x = area of 2nd rectangle

8x = area of 3rd rectangle

(3x + 7x + 8x)/3 = 18

3x + 7x + 8x = 54

18x = 54

x = 3

3x = 3(3) = 9 = area of 1st rectangle (smallest)

8x = 8(3) = 24 = area of 3rd rectangle (biggest)

24 - 9 = 15 sq cm

Answer:

19.1

Step-by-step explanation:

Pythagorean theorem: a^2+b^2=c^2

4^2+7^2=c^2

16+49=c^2

C^2=65

c=hypotenuse =root 65

Perimeter =7+4+root65=19.1ft

Answer:

392 square units

Step-by-step explanation:

We can make 2 right trapezoids out of this shape.

The area of a trapezoid would be 1/2×(b1+b2)×h or (b1+b2)×h ÷ 2.

If we do 1 half it would be 1/2×(14+14)×14 = 196

Now if we multiply by 2 (because we have 2 trapezoids) it would be 392.

Answer:

fr.ee points for base brain.liest if you translate this.

Step-by-step explanation:

ok

Answer:

fr.ee points for base brain.liest if you translate this.

Step-by-step explanation:

Me smurt

Answer:

Distance between mall and library is 6.32 miles.

Step-by-step explanation:

Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).

Since, distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

By this formula,

Distance between (2, 4) and (8, 4) will be,

Distance = [tex]\sqrt{(8-2)^2+(2-4)^2}[/tex]

               = [tex]\sqrt{36+4}[/tex]

               =  [tex]\sqrt{40}[/tex]

               = 6.32 miles

Answer:

A 57.6

Step-by-step explanation:

I took the quiz

Answer:a

Step-by-step explanation:

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!

Answer:

70

Step-by-step explanation:

Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.

We rearrange the terms

54, 86, 105, 135, 150

First Quartile formula =

1/4 (n + 1)th term

Answer:

Step-by-step explanation:

4.)

x-4

5.)

Eucardo's collection of butterflies: 12+2x

Answer:16x2 + 181x + 59

Step-by-step explanation:It cannot be factored

Answer:

Step-by-step explanation:

11.26 is the correct answer

Answer:

1/9 = 3^-2

1/8 = 2^-3

9 = 3²

8 = 2³

Answer: The correct answer is B. 523.3...cm^3

Step-by-step explanation:

4/3*pi*r^3 is the formula

first, divide the diameter by 2 to get the radius, now, you will begin solving.

4/3*5^3*3.14

5*5*5=125

4/3*125*3.14

125*3.14=392.5

4/3*392.5

523.3...

Answer:

20

Step-by-step explanation:

215% of 20 is 43

Answer:

20

Step-by-step explanation:

2.15x = 43

43 divided by 2.15 is 20! :)

Answer: 22

Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11

Sorry about that, here's the answers.

1. expanded form

2. regroup

3.  place value

4. A, C, D. The strategy I used was place value and regrouping. I chose these by using place value to help me understand how to regroup and what each option would sum to.

5. D. Ten thousands place

Answer:

1. Expanded form

2. Regroup

3. Place value

4. A, C, D,

C is correct because a one is equal to 1.

1 x 4,200 = 4,200. Therefore 4,200 ones is equal to 4,200. D is correct because a ten is equal to 10. 10 x 420 = 4,200. Therefore, 420 tens is equal to 4,200. A is the same as the rest but with hundreds.

5. A

Step-by-step explanation:

1. Expanded form refers to when a number is separated by place values. Like 555,555 being turned into 500,000 + 50,000 + 5,000 + 500 + 50 + 5.

2. Regrouping is separating number by places values to do an equation like subtraction. For example, 5 tens - two ones.

3. Place values refers to a digit in a number like the 1 in 2,134 is in the hundreds place and the 5 in 5,677 is the thousands place.

4. My answer explains it.

5. A is correct as the 2 in 321,705 is 20,000 while the 2 in 32,571 is 2,000. 20,000 is 10 times larger than 2,000. So the answer is 10.

Answer:

1/8 to the power of 3

Step-by-step explanation:

its 1/2 length x 1/2 width x 1/2 height