Mike and Julie receive $20,000 in gifts from friends and relatives for their wedding. They deposit the money into an account that pays 2.75% interest, compounded daily.

Will their money double within 10 years?

Will their money double within 15 years?

Answer:

the greatest common factor is 3

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]

applying the law of sines to find the unknown sides:

[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]

[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]

so,

[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]

Answer:

JSJXJX

Step-by-step explanation:

CF<DC<DE<DF<FE

Answer:

21.c

22.b

23.c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 : 2 = 3 : 6

6 parts vinegar

Social Studies is 90

Language Arts is 94

Social Studies : Language Arts

4.5 × 50 = 225 miles

Answer:

a = 1.4 and d = 6.9

Step-by-step explanation:

To get the value of d and a, we will use the SOH CAH TOA identity

For the first tringle;

Opposite = d ((opposite angle 60 degrees)

Adjacent = 4

Tan theta = opp/adj

Tan 60 = d/4

d  = 4tan60

d = 4(1.732)

d = 6.9

For the second triangle;

Opposite = a

Hypotenuse = 2

Since sin theta = opp/hyp

Sin45 = a/2

a = 2sin45

a = 2(0.7071)

a = 1.4

Hence a = 1.4 and d = 6.9

Answer:

$21.25

Step-by-step explanation:

$25 x 0.85 = $21.25

Answer:

1. x+y=20,000

2. 105x+75y=$1,740,000

Step-by-step explanation:

let x be the stage level seats and y be the higher level seats.

A. Angle E = 113°

B. x = 16°

Number A

92 + 70 + 85 + ? = 360

162 + 85 + ? = 360

247 + ? = 360

? = 360 - 247

? = 113°

Number B

108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360

(180 + 84 + 30 + 18) + (x + 2x) = 360

312 + 3x = 360

3x = 360 - 312

3x = 48

x = 48/3

x = 16°

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Answer:

3 cents

Step-by-step explanation:

cost of  20 markers=$6

cost of 1 marker=?

Cost of 1 marker = 6/20 = 3/10 = 0.3

It costs 3 cents.

Answer:

 =  1 0

Step-by-step explanation:

Solve

1. Combine like terms

2  +  2 0  + 2  =  6 0

4  +  2 0  =  6 0

2. Subtract  20  from both sides of the equation

4  +  2 0  =  6 0

4  +  2 0  −  2 0  =  6 0  −  2 0

3. Simplify

4  +  2 0  −  2 0 =  6 0  −  2 0

4  =  6 0  −  2 0

4 =  6 0  −  2 0

4  =  4 0

4. Divide both sides of the equation by the same term

4x = 40

4x/4 = 40/4

5. Simplify

4x/4 = 40/4

x = 40/4

x = 40/4

x = 10

Answer

measure of angle A: 28 degrees

BC ≈ 13.3

BA = 28.3

hope this helps

Step-by-step explanation:

angle A

90- 62 = 28

angle A = 28

BC

tan (A) = BC / 25

(25) tan 28 = BC / 25 (25)  multiply 25 on both sides to cancel it out from BC

13.292735 = BC

BC ≈ 13.3

BA

BA^2 = 13.3^2 + 25^2  Pythagorean theorem

BA ≈ 28.3

If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)

Answer:

D: all real numbers,  R: y ≤ -4

Step-by-step explanation:

R: y ≤ -4

Because the line doesn't go beyond -4.  

Answer:

Step-by-step explanation:

Fraction:

0.8 = 8/10 = 4/5

Percent:

0.8*100 = 80%

Answer:

0.8 can be written as

8/10 and

Percentage = 8/10 × 100

Percentage = 8 × 10

Percentage = 80%

Or,

Simply

Percentage = 0.8 × 100

Percentage = 80%

[tex] \\ [/tex]

Answer:

the slope of both lines are the same.

Step-by-step explanation:

Given the following segment of the Quadrilateral EFGH on a coordinate  Segment FG is on the line 3x − y = −2,

segment EH is on the 3x − y = −6.

To determine their relationship, we can find the slope of the lines

For line FG: 3x - y = -2

Rewrite in standard form y = mx+c

-y = -3x - 2

Multiply through by-1

y = 3x + 2

Compare

mx = 3x

m = 3

The slope of the line segment FG is 3

For line EH: 3x - y = -6

Rewrite in standard form y = mx+c

-y = -3x - 6

Multiply through by-1

y = 3x + 6

Compare

mx = 3x

m = 3

The slope of the line segment EH is 3

Hence the statement that proves their relationship is that the slope of both lines are the same.

The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

-2 = 3x - y

- 2 - 3x = -y

y = 3x + 2

Thus, the slope of the equation is 3.

The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

3x - y = -6

-y = 6 - 3x

y = 3x+6

Thus, the slope of the equation is 3.

Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

Learn more about Equation of Line:

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Answer:

x=3

Step-by-step explanation:

Sub y=x-1 into 2x+y=8.

You will get 2x+x-1=8.

Simplify 3x-1=8

Solve 3x=9

x=3

Answer:

About 9-10 weeks

Step-by-step explanation:

70/7= 10

Answer:

9-10

Step-by-step explanation:

Answer:

(B) Is the answer here

Step-by-step explanation:

Well a function’s domain can’t repeat no matter what.

Domain is X.

So the first one doesnt work since it repeats to every single digit that exists.

The second one works becuase the domain aren’t repeated and the range being repeated (or known as y) is but that deosn’t matter.

Answer:

B

Step-by-step explanation:

Hello There!

In order for the relations to be a function the x values may not repeat

For answer choice A the x value -2 repeats multiply times therefore the relation is not a function

For answer choice B each x value has a different y value so this might be our answer but just to be safe lets look at the other answer choices

For answer choice C the x values -3 and 2 repeat therefore it is not a function

For answer choice D the x value 2 repeats therefore the relation is not a function

So we can conclude that the correct answer is B

Answer:

The question which ask to select among the choices the equation that Alejandria should write to represent the new line where as the equation she wrote is y-3=x-10 and the answer would be that the form in this equation is y=x-13 and if the slope is 2 then it is y=2x-13

Step-by-step explanation:

plz mark me as brainliest

The answer is C aka answer 3

Answer:

375in^2

Step-by-step explanation:

area of a trapezoid is base + base divded by 2 then times that by the height

20 + 30 = 50

50/2 + 25

25 x 15 = 375

Answer: The answer to what is the measure of angle x is 48°.

Step-by-step explanation: It’s because this angle is complementary Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Example: 5° and 85° are complementary angles.

48°+42°=90° and this is a right scalene triangle.

Answer:

The maximum height of the ball is 380.25 feet in the air.

Step-by-step explanation:

The quadratic function:

[tex]h(t)=-16t^2+132t+108[/tex]

Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.

We want to determine the maximum height of the ball.

Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.

Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:

[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]

In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:

[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]

So, the maximum height occurs after 4.125 seconds of the ball being thrown.

To find the maximum height, substitute this value back into the equation. Thus:

[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]

The maximum height of the ball is 380.25 feet in the air.

Answer:

false

Step-by-step explanation:

I say false because the multiplicative inverse of 0 is undefined and the multiplicative inverse tells us that when you multiply a number by its inverse the product will be1 think the multiplicative inverse of 0 is undefined.

Answer:

The missing number of chicken nuggets is 5.

Step-by-step explanation:

To find the mean of this data set, we must add every number together, then divide the sum by how many numbers are present.

Like this,

1 + 3 + 0 + 6 = 10

10 / 4 = 2.5

There are 4 present numbers in this data set, and one is missing.

Since the only number divided by 5 that would give you a quotient of 3 is 15, the missing number is 5.

Because,

1 + 3 + 0 + 6 + 5 = 15

15 / 5 = 3

Therefore, 5 is the missing number of the data set.

Answer:

(√6x√20) / √3 = 2√10

Step-by-step explanation:

hello :

(√6x√20) / √3 =√2x√3 x√4x√5 / √3

because : √6 = √2x√3 and √20= √4x√5 = 2x√5

now simplify by √3 :(√6x√20) / √3 =√2x2x√5

(√6x√20) / √3 = 2√10 so : a =2 and b =10

Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]

Plug in the values and simplify:

[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]

Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

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