Alexa put $850 into savings account that earns 0.75% annual simple interest. If Alexa doesn’t make any deposits or withdrawals for 18 months, how much money will be in her account?

Answer:

Step-by-step explanation:

Extra's:

Now lets solve:

[tex](p^2 +1)x^2 +2pqx+q^2 = 0[/tex]

[tex](p^2 +1)x^2 +(2pq)x+q^2 = 0[/tex]

using b²-4ac < 0:

[tex](2pq)^2 - 4 * (p^2 +1 )(q^2 ) <0[/tex]

[tex]4p^2 q^2 - 4p^2q^2 -4q^2<0[/tex]

[tex]-4q^2 < 0[/tex]

[tex]\mathrm{No\:Solution\:for}\:p\in \mathbb{R}[/tex]

Polynomials consist of both indeterminates and coefficients. The factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

8x² - 24x + 20x - 60

We can factorize the polynomial in the following manner,

[tex]8x^2 - 24x + 20x - 60[/tex]

taking two as the factor commons from the entire polynomial,

[tex]=2[4x^2 - 12x + 10x - 30][/tex]

Now, taking 4x as the common factor from the first two terms of the brackets, also, take 10 as the common factor from the last two terms of the brackets,

[tex]=2[4x(x - 3) + 10(x - 3)]\\\\=2[(4x+ 10)(x - 3)]\\\\= 2 (4x+10)(x-3)[/tex]

Hence, the factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

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Answer: 4(x – 3)(2x + 5)

Step-by-step explanation: did no one use the formula that was given to you?

Answer:

104.52 sq m

Step-by-step explanation:

The area of the top triangle is 1/2(12 * 8) = 48 sq m

The bottom semicircle is 1/2(pi r-squared) or 1/2(3.14 * 6^2) = 56.52 sq m

Add together and they are 104.52 sq m

The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

The range is the difference between the maximum and minimum.

Given to us

The standard diameter of a golf ball is 42.67 mm.

The discrepancy in diameter is more than 0.002 mm.

As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.

Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm

Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm

Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

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Answer:

70

Step-by-step explanation:

180-120=60

180-(60+50)=70

Answer:

m∠U = 70°

Step-by-step explanation:

find the missing inside angle, V:

180° - 120°

60°

so now the total interior angle of triangle is 180°

m∠U + 60° + 50° = 180°

m∠U = 180° - 110°

m∠U = 70°

Answer:

6.5 feet

Step-by-step explanation:

V = lwh

Plug-in the numbers given and solve for h

312 = 8(6)h

312 = 48h

312/48 48h/48

h = 6.5 feet

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 1 and (a, b ) = (- 7, 0 ) , then

y - 0 = 1 (x - (- 7) ) , that is

y = 1 (x + 7) ← distribute by 1

y = x + 7 ← in slope- intercept form

Answer:

The probability that she picked a card that is not red is 11/14

Step-by-step explanation:

Number of blue marbles n(blue)=4

Number of red marbles n(red)=3

number of yellow marbles n(yellow)= 2

number of green marbles n(green)=5

total number of marbles n(S)=4+3+2+5=14

P(red)=n(red)/n(S)

P(red)=3/14

We have to determine the probability that the card picked is not red which means the card can be blue or yellow or green.

P(not red)=1-P(red)

               =1-3/14

                =11/14

Hope this helps

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Answer:

Total surface area of the tent that is in a shape like a triangular prism

= 255ft²

Step-by-step explanation:

Find the surface area of the triangles.

height = 5ft, base = 5ft

2 Triangles = 5 × 5 ÷ 2 × 2 = 25ft²

Now for the base.

height = 10ft, base = 5ft

base of triangular prism = 10ft × 5ft = 50ft²

And then, the last 2 rectangles.

height = 10ft, base = 9ft

2 Rectangles = 10ft × 9ft × 2 = 180ft²

Lastly, we add all these up.

25ft² + 50ft² + 180ft²

= 255ft²

Answer:

854.93

Step-by-step explanation:

I answered hope it helps

Answer:

x = 7, 1 (Multiple solutions)

Step-by-step explanation:

2(7) - 8 = 6

14 - 8 = 6

6 = 6

| 2(1) - 8 | = 6

| -6 | = 6

6 = 6

1. What is the theoretical probability that a coin toss results in two heads showing? 0.25

2. What is the experimental probability that a coin toss results in two heads showing? 0.5 x 0.5

3. What is the theoretical probability that a coin toss results in two tails showing?1/2

4.  What is the experimental probability that a coin toss results in two tails showing?1 in 4

5. What is the theoretical probability that a coin toss results in one head and one tail showing? 0.5

6. What is the experimental probability that a coin toss results in one head and one tail showing? .5

7.  Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference? The theoretical is slightly higher than expected

Answer:

-10.2 and -7.2

6 and 9

Step-by-step explanation:

Let the numbers be x and y.

x² + y² = 117

y = 2x - 3

x² + (2x - 3)² = 117

x² + 4x² - 12x + 9 = 117

5x² - 12x - 108 = 0

(5x + 18)(x - 6) = 0

5x + 18 = 0  or x - 6 = 0

x = -18/5 or x = 6

x = -3.6 or x = 6

y = 2x - 3

y = 2(-3.6) - 3

y = -10.2

y = 2x - 3

y = 2(6) - 3

y = 9

Answer:

-3.6 and -10.2

6 and 9

Answer:

x = - 2

Step-by-step explanation:

2x + 6 = 2

2x = 2 - 6

2x = -4

x = -4/2

x = - 2

Hope it helps ⚜

Answer:

6

Step-by-step explanation:

diagonals bisect each other in rectangle

3x-6 = 2x

x=6

Answer:

27 ounces of blueberry juice. 40 ounces of soy milk. 13 ounces of banana flavoring.

Step by Step:

4 + 1.3 = 5.3, This is how much of the smoothie is made up of the soy milk and banana flavoring, 5.3 ounces.

So to find the amount of blueberry juice in the smoothie you have to subtract 8-5.3. This finds the remaining part of the smoothie, which is the blueberry juice. 8-5.3 = 2.7

2.7 ounces of blueberry juice in each smoothie.

Now you have to multiply every ingredient by 10, since there are 10 smoothies.

4 * 10 = 40

1.3 * 10 = 13

2.7 * 10 = 27

You need 40 ounces of soymilk, 13 ounces of banana flavoring, and 27 ounces of blueberry juice to make 10, 8-ounce smoothies.

Answer:

a > -9

subtract 6 from both sides to get 2/3 a > -6. Then multiply both sides by 3 to get 2a > -18. Last, divide both sides by 2 to get your answer: a > -9

Answer:

Step-by-step explanation:

[tex] \frac{2}{3} a + 6 > 0 \\ \frac{2}{3} a + 6 - 6 > 0 - 6 \\ \frac{2}{3} a > - 6 \\ \frac{2}{3} \times 3 \: \: a > - 6 \times 3 \\ 2a > - 18 \\ \frac{2a}{2} > \frac{ - 18}{2} \\ a > (- 9) \\ [/tex]

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{y2 - y1}{x2-x1}[/tex]

If two coordinates be (x1,y-1) and (X2,Y2)

Slope:-

If a line be ax+by+c=0

Slope'-

Answer:

-5

Step-by-step explanation:

when something is squared it can be positive or negative

Step-by-step explanation:

1. Clean the floor now.

2. Clean the blackboard.

3. Make sure your friends never drives fast again

4. Go and serve a glass of juice to your friend

5. Tell your friend to not speak loud.

Answer:-

[tex]\boxed{\huge \text{182 feet}}[/tex]

Step-by-step explanation:

Let the height of the next tallest rider be t feet

Since the 260-foot-tall ride is 78 feet taller than the next tallest;

That means t = 260 - 78 = 182 feet



Therefore, the height of the second tallest ride in the park = 182 feet.

[tex]\huge \text{hope this helps! :)}[/tex]

-InLoveWithNature-

Answer:

(0, 1)

Step-by-step explanation:

So with the 2 equations you can either choose which to start with but you need to make the X or Y the opposite from the other equation.
1.
4x + 2y = 2 --> 1( 4x + 2y = 2)
3x - y = -1 --> 2( 6x - 2y = -2)

--

6x + 4x = 10x
2y - 2y = 0 (forced to get rid of)
2 - 2 = 0
Left with:
10x = 0 (Divide both sides by 10 to get X alone)
x = 0

-----------------------------------------------------------
(Choose any ORIGINAL equation)
4x + 2y = 2
4(0) + 2y = 2 (substitute)
Left with:
2y = 2 (divide both sides by 2 to get Y alone)

y = 1
-------------------------------------------------------------
Optional:
Chose the other equation (the oposite from above)
Substitute X and Y in 3x - y = -1

3(0) - (1) = -1
Left with: -1 = -1 (check)


Hope this helps

Answer:

[tex] \frac{1}{16} [/tex]

Step-by-step explanation:

[tex] \frac{1}{8} \times \frac{1}{2} \\ = \frac{1}{16} [/tex]

Therefore, the fractional part is

[tex] \frac{1}{16} [/tex]

Answer:

x = 16°

4x-7 = 57°

3x+4 = 52°

5x-9 = 71°

Step-by-step explanation:

All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.

4x-7 + 3x+4 + 5x-9 = 180

Simplify by combining like terms.

12x-12 = 180

Then, do inverse operations to find x.

12x=192

x=16

Now that we found x, we can substitute 16 for x in each angle equation in the triangle.

4(16)-7 = 57

3(16)+4 = 52

5(16)-9 = 71

The domain (input values) and range (output values) of the function is, Domain: (Negative infinity, infinity), Range: (0, infinity).

Domain of a function is the set of all the possible input values which are valid for that function.

Range of a function is the set of all the possible output values which are valid for that function.

Given information-

The function given in the problem is,

[tex]y=f(x)\\y=h(x)\\y=g(x)\\y=k(x)[/tex]

As domain of a function is the set of all the possible input values which are valid for that function. Thus the function should accept all the values for the given function.

Here in the given function the function is takes the input for all the real number form positive to the negative infinite. Thus the domain of the function is,

Domain: (-∞, ∞).

Range of a function is the set of all the possible output values which are valid for that function.

Here the output for the given function gives the positive values to the infinite. thus the range of the function is,

Range: (0, ∞).

Thus, the domain and range of the function is, domain: (Negative infinity, infinity), range: (0, infinity).

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Answer:

Answers for entire slide:

1. B, and D

2. All of them

3. only correct one is C.

Step-by-step explanation:

Source: trust me bro

Answer:

2013 = 3 x 11 x 61

Step-by-step explanation:

3 x 11 x 61 are all prime. Their sum is 3+11+61 = 75

Answer:

2013 = 3 x 11 x 61

Step-by-step explanation:

Their sum is 3+11+61 = 75

3,11,61 are all prime numbers

hope this helps

The production cost is an illustration of a quadratic function

The equation of the production cost is [tex]y = ax^2 + bx -c[/tex]

From the complete question, we have the following parameters:

Using the instructions in the complete question, the equation of the production cost would be:

[tex]y = ax^2 + bx -c[/tex]

Hence, the production cost is [tex]y = ax^2 + bx -c[/tex]

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Answer:

Step-by-step explanation:

Area of the cut rectangle:

The area of the original fabric is twice the cut one: