John put $3000 in his savings at 2% annually for 3 years. What did he earn in simple interest?

Answer:

66.28 sq. km

Step-by-step explanation:

the area of fig. =

(4×3)+(8×6)+(½×3.14×2²)

= 12+48+6.28

= 66.28 sq. km

Answer:

D

Answer:

[tex]x=\frac{106}{49}[/tex]

Step-by-step explanation:

Therefore, [tex]x=\frac{106}{49}[/tex] will be your final answer.

Answer: 0

Step-by-step explanation: it said round to the nearest hundredth when you just need 0.21 so 0.21 rounded to the nearest hundredth is going to be 0.

Answer:

Equilateral triangle

Step-by-step explanation:

Equalateral triangles has 3 60 degre angles, and 3 congruent sides

Answer:

x = 4

Step-by-step explanation:

Area of a parallelogram = base times height

Given area = 40

Given height = 4

Given = x + 6

Thus,

40 = 4 * (6 + x )

Step 1 distribute the 4

4 * 6 = 24

4 * x = 4x

we now have 40 = 24 + 4x

step 2 subtract 24 from each side

40 - 24 = 16

24 - 24 cancels out

now we have 16 = 4x

step 3 divide each side by 4

4x / 4 = x

16 / 4 = 4

we're left with x = 4

To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.

(x + 6) * 4

* substitute 4 for x *

(4 + 6) * 4

4 + 6 = 10

10 * 4 = 40

40 = 40

Hence x = 4

Answer:

x = 4

Step-by-step explanation:

X + 6 feet

4 feets

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the dimensions of the hexagon are not given.

I will assume that:

[tex]b = 6[/tex] --- base length

[tex]h = 8[/tex] --- height

First, we calculate the height (a) of each triangle that makes the hexagonal base

The formula to use is:

[tex]a^2 = b^2 - (\frac{b}{2})^2[/tex]

[tex]a^2 = 6^2 - (\frac{6}{2})^2[/tex]

[tex]a^2 = 6^2 - (3)^2[/tex]

[tex]a^2 = 36 - 9[/tex]

[tex]a^2 = 27[/tex]

Take positive square roots

[tex]a = \sqrt{27[/tex]

Expand

[tex]a = \sqrt{9*3[/tex]

Split

[tex]a = \sqrt{9}*\sqrt3[/tex]

[tex]a = 3\sqrt3[/tex]

So, we have:

[tex]Area = \frac{1}{2}ap[/tex]

Where

[tex]a = 3\sqrt3[/tex]

[tex]p =perimeter[/tex]

[tex]p = 6 * b[/tex] ---- 6 represents the sides of the hexagon

[tex]p = 6 * 6[/tex]

[tex]p = 36[/tex]

[tex]B= \frac{1}{2}ap[/tex]

[tex]B= \frac{1}{2} * 3\sqrt 3 * 36[/tex]

[tex]B= 3\sqrt 3 *18[/tex]

[tex]B = 54\sqrt 3[/tex]

[tex]h = 8[/tex]

Lastly, the volume is:

[tex]V = \frac{1}{3}Bh[/tex]

So:

[tex]V = \frac{1}{3} * 54\sqrt3 * 8[/tex]

[tex]V = 18\sqrt3 * 8[/tex]

[tex]V = 144\sqrt3[/tex]

Answer:

[tex](-9.5,2.63)[/tex]

Step-by-step explanation:

In essence, this problem asks one to find the vertex of the given equation. An easy way to find the vertex of a quadratic equation in standard form is to complete the square.

Completeting the square involves grouping the quadratic and linear term, then factoring out the coefficient of the quadratic term. After doing so, one will add a term to make the grouped terms a perfect square trinomial and then balance the equation. Finally, one will simplify the equation and get the quadratic equation in vertex form. From there, finding vertex is quite easy, the x-coordinate is the additive inverse of the quadratic term, and the y-coordinate is the constant.

Once a quadratic equation in standard form has been converted to vertex form by the process of completing the square, its equation is amongst the lines of the following,

[tex]a(x-k)^2+h[/tex]

(k, h) is the vertex of the parabola.

The quadratic equation in standard form,

[tex]2x^2+19x+42.5[/tex]

Group the quadratic and linear terms,

[tex](2x^2+19x)+42.5[/tex]

Factor out the coefficient of the quadratic term,

[tex]2(x^2+9.5x)+42.5[/tex]

Add a term to make the grouped part a perfect square trinomial, then balance the equation,

[tex]2(x^2+9.5x+22.5625)+42.5-2(22.5625)[/tex]

Simplify,

[tex]2(x^2+9.5x+22.5626)+42.5-45.125[/tex]

[tex]2(x+9.5)^2+2.625[/tex]

The vertex of the equation is the following,

[tex](-9.5,2.625)[/tex]

Rounded,

[tex](-9.5,2.63)[/tex]

Answer:

0.1°

Step-by-step explanation:

Okay so, a circle is 360° and the circle is divided into 3600 parts. So, to find the measurement of one of those angles, we would do 360°/3600= 0.1°.

Answer:

41

Step-by-step explanation:

Started with 84

less               14

less.              29

=.                   41

Answer:

True

Step-by-step explanation:

Answer:

3x2 – 5x + 2 = ( 3x-2)( x-1)

Step-by-step explanation:

I hope this helps you!

Have a nice dayyy <3

Answer:

[tex](3x-2)(x-1)[/tex]

Step-by-step explanation:

Answer:

okay shdirnsjsjjsjjddjdjjdjdjjdddjd

Answer:

No

Step-by-step explanation:

if both equations begin with 'y=' then we can set the expressions equal to each other:

-x+1 = -x+5

1 ≠ 5 ∴ there are no solution to this system of equations

Question:

Obtian the equation that can be used to solve for c

Answer:

Sin50 = 3/c

Step-by-step explanation:

A triangle showing the information given has been attached below for clarity :

Using trigonometry :

AC = 3 = opposite side of angle 50°

AB = c = hypotenus

Using the sine relation of a right angled triangle :

Sin θ = opposite / hypotenus

θ = 50°

Sin 50° = 3 / c

Sin50 = 3/c

Answer:

Evan needs enough paint to cover 448in^2

He needs enough soil to fill 768in^3

Step-by-step explanation:

Answer:

(0,4)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: −1y-intercept: (0,4)xy0413

Answer:

x = 116°

Step-by-step explanation:

number of degrees in a pentagon is (5-2)180° = 540°

x + 121 + 90 + 115 + 98 = 540

x + 424 = 540

x = 116°

Answer:

6:45

Step-by-step explanation:

The diver is approximately 276.5 feet away from the boat to the nearest foot.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

We can use the tangent function to solve this problem.

Let x be the distance from the boat to the point directly below the scuba diver on the water's surface.

Then we have:

tan(39°) = x/356

Multiplying both sides by 356, we get:

x = 356 tan(39°)

x = 276.5

Therefore,

The diver is approximately 276.5 feet away from the boat to the nearest foot.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ3

Answer:

the first one must be 39.5 and the other 42.5

Step-by-step explanation:

multiply 35 by 6 and subtract 32 x 4 you are left with 82. Divide that by 2 and make the difference 3.

Answer:

Step-by-step explanation:

The negative out front only tells us which way the parabola will open. That means that the first one will open upside down, since it's got a negative out front. The value of the number that serves as the leading coefficient (the number stuck to the x-squared) determines how steep or wide-open the parabola's shape is. The leading coefficient in the first one is a 1, so it opens up exactly as wide as its parent graph does. The leading coefficient in the second one, a 2, means that the parabola will be skinnier or narrower than its parent. If the leading coefficient is greater than 1, the parabola will be narrower than its parent; if the leading coefficient is greater than 0 but less than 1, the parabola will open wider than its parent.

Answer:

Step-by-step explanation:

3) JH is the length of the radius

def. of midpoint

def. of < bisector

4) The missing length is 15

Given a=8 and c=17,

b = 30

∠α = 28.072° = 28°4'21" = 0.48996 rad

∠β = 61.928° = 61°55'39" = 1.08084 rad

area = 60

perimeter = 40

h =  

120

17

= 7.0588235294118

Answer:

15°

Step-by-step explanation:

x= 89-44-30= 15°

:))

Answer:

31.5 minutes

Step-by-step explanation:

21 / 2 = 10.5

10.5 x 3 = 31.5

Answer:

A] 1500 + 0.025x , 1250 + 0.055x ; B] Sales value = 8333

C] Offer 1, if prefers more fix salary over additional incentive. And, offer 2 if  prefers additional incentive over fix salary.

Step-by-step explanation:

Let the sales be = x

A] Offer 1 = 1500 + 2.5% comm on sales = 1500 + 2.5%x = 1500 + 0.025x

Offer 2 = 1250 + 5.5% comm on sales = 1250 + 5.5%x = 1250 + 0.055x

B] Value of sales, resulting in total salary : at equation 1 = equation 2

1500 + 0.025x = 1250 + 0.055x

1500 - 1250 = 0.055x - 0.025x → 250 = 0.03x

x = 250 / 0.03 →  x (Sales value) = 8333

C] Which job she should take, would depend on her preferences.

If she wants more fixed salary, & less above per unit achievement, she should take offer 1 as fixed salary 1500 > 1250. If she wants less fixed salary & more additional incentives, she should take offer 2, as commission 5.5% > 2.5%

Answer:

y = -2x + 7

Step-by-step explanation:

Given: (0, 7) and (2, 3)

Using the slope-intercept formula: y2-y1/x2-x1

3-7/2-0 = -4/2 = -2

Y-intercept:

Use y= mx + b to find the y-intercept (b). For this, I will be using the coordinates (2, 3). Plug 2 into x and 3 into y, then solve.

3 = -2(2) + b

3 = -4 + b

7 = b

Form the equation together:

y = -2x + 7

Answer:

21/240, 22/140, 23/140, 24/140

Step-by-step explanation:

7 and 5 have a common multiple of 140 and

140/7=20  20/140

140/5=28  28/140

21-27 are all numbers b/w 20 and 28

Answer:

21/140, 22/140, 23/140, 24/140

7 and 5 = common multiple of 140.

140/7 = 20 , 20/140

140/5 = 28, 28/140

21, 22, 23, 24, 25, 26, and 27 are the numbers between 20 and 28.