Select the graph of the equation below.

y= 3 over 2 x²+4x-2

The value of David's investment will be at least $415 after a period of 20 years

The formula for calculating the compound interest is expressed as:

A = p(1+r)^t

Given the following parameters

Substitute

415 = 230(1+0.03)^t
415/230 = 1.03^t
1.8043 = 1.03^t
t = ln(1.8043)/ln1.03

t = 20 years

The value of David's investment will be at least $415 after a period of 20 years

learn more on compound interest here: https://brainly.com/question/24924853

#SPJ1

Answer:

3

Step-by-step explanation:

1/4 of 12 means (1/4) x 12

=> (1/4)x12

=> 12/4

=>  3

Answer: Heyaa! ~

Your Answer would be 3!

Step-by-step explanation:

We can write 1/4 of 12 as 1/4 × 12

To multiply fractions, follow the given steps:

Multiply the numerators.

Multiply the denominators.

Reduce the resultant fraction to its lowest terms.

Now,

1/4 × 12 = (1 × 12) / 4 = 12/4 = 3

Meaning the answer is.. 1/4 of 12 = 3

Hopefully this helps you!

Answer:

[tex]2\pi[/tex]

That's it

Answer:

(0, -√2)

Step-by-step explanation:

Given :

Finding vertex :

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.

and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.

that is ~

[tex]\qquad \sf  \dashrightarrow \: x + y = 3[/tex]

put y = - 2,we will get :

[tex]\qquad \sf  \dashrightarrow \: x - 2 = 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 5[/tex]

so, 1st equation satifys the condition. let's check out 2nd one.

[tex]\qquad \sf  \dashrightarrow \: x + 2y = 1[/tex]

put y = -2

[tex]\qquad \sf  \dashrightarrow \: x + (2 \times - 2) = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 4 = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 5[/tex]

Hence, we can conclude that the Correct choice is D

Answer: its 50

Step-by-step explanation:

Answer:

I notice that square 3 plus square 2 equals square 1, the biggest square. That must mean that the third square, squared, plus the second square, squared, equals the biggest square, squared, which is square c.

Answer:

A. g(x)=(x+9)^2

Step-by-step explanation:

if it’s plus inside the parentheses it’s goes left and if it’s - it’s right

Hope this helps! ;-)

To solve this problem, we need to use combination which is statistical tool to determine the number of ways an event may occur. The combination to select a 5 a side team from 12 students is 792.

This a mathematical technique that is used to determine the number of possible arrangements in a collection of items where the way they're arranged does not matter.

Data;

The combination for this would be

[tex]C = ^1^2C_5 = 792[/tex]

The combination to select a 5 a side team from 12 students is 792.

Learn more on combination here;

https://brainly.com/question/251701

#SPJ1

Answer:

3 × 3 × 3 × 5 × 7

Answer:

$1346.4

Step-by-step explanation:

First find the rectangle portions area with lxwxh, which is 8x6x8. That equalls 384.

Then find the triangles, which is bxh, which is 6x8. That equals 144.

Add those two to get 528.

Then multiply the total area by 2.55 which will get you 1346.4

Answer:

y= -x to the power of 2

so the answer is the first one!

Hope this helps!!

The completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)

The polynomial expression is given as;

12x⁴ + 39x³ + 9x²

Factor out 3x² from the expression

3x²(4x² + 13x + 3)

Expand

3x²(4x² + 12x + x + 3)

Factorize the expression

3x² * 4x(x + 3) + 1(x + 3)

Factor out x + 3

3x²(4x + 1)(x + 3)

Hence, the completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)

Read more about polynomials at:

https://brainly.com/question/4142886

#SPJ4

Answer:

C. 3

Step-by-step explanation:

Using the slope formula

Answer:

C. 3

Step-by-step explanation:

8 - 2/ 4 - 2 = 6/2 = 3

...................................................

Answer:

4√ 2

Step-by-step explanation:

2x^2=64 and  x^2 = 32 so x= 4√ 2

Answer:

I'd say 11 but could also be 30

Answer:

1/15

Step-by-step explanation:

Total = 6 bottles

1 orange and apple

Without replacement:

P(orange and apple) = 1/6 x 1/5 = 1/15

Answer: Probability = 1/15

The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.

If the object travelled D distance in T units of time, then that object's speed is

[tex]Speed = \dfrac{D}{T}[/tex]

Given that:

Suppose at time 0 hours, all three people departed from school (on that Monday).

After 't' hours, suppose the cycle gets punctured.

Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),

then we get:

[tex]S =\dfrac{D}{T}[/tex]

[tex]20=\dfrac{d}{t}[/tex]

d = 20t

This distance is measured from school. But we know that this distance is 4 km, so we get:

20t = 4

t  =  1 / 4

The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:

5 =  1 / T

t = 0.2 hours

So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours

Reeta is walking that whole 5 km.

The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.

Thus, we have:

Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:

D = S x T

D = 5 x 0.4 = 2 km

So Reeta was 2 km away from school when cyclists reached home on that Monday.

Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km

Learn more about forming equations here:

brainly.com/question/11938672

#SPJ1

Answer:

X Intercepts: (2, 0), (-6, 0),

Y Intercepts: (0, – 12)

minimum: (-2,-16)

Step-by-step explanation:

A) what are the x intercepts

X- axis interception points of x²+ 4x– 12:

(2,0), (-6,0)

B)what is the y intercepts

Y-axis interception point of x² + 4X – 12:

(0, – 12)

X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)

C)what is the maximum and minimum value

Parabola equation in polynomial form

The parabola params are:

a=1, b=4,c= -12

xv= -b/2a

xv= -4/2.1

simplify

xv=-2

Plug in xv = -2 to find the yv value

yv= -16

Therefore the parabola vertex is (-2, – 16)

If a<0. then the vertex is a maximum value

If a>0. then the vertex is a minimum value

a=1

minimum=(-2,-16)

Answer:

a= 20

Step-by-step explanation:

12/3

a/5

60 = 3a

a = 60/3 = 20

Answer:

(6,8)

Step-by-step explanation:

The rule for 90 degree rotation is (x,y)=(-y,x)

So the answer is (6,8)

The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7

The horizontal asymptotes the the point where the horizontal line cutes the y-axis,

Given the function

j(x) = 14x³+45/2x³+9

Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown

y = 14/2

y = 7

Hence the horizontal asymptotes of the function is y =7

Learn more on horizontal asymptotes here: https://brainly.com/question/4138300

#SPJ4

Answer:

Step-by-step explanation:

You could do it either way, but I have attached an image with one way to do it.

Then, using the exterior angle theorem, you can do:

(180-4x) + 100 = 3x

280 - 4x = 3x

280 = 7x

x = 40

From there, don't forget to plug in the numbers if you need to do so :)

Answer:

2n + 3n equals to 5n in the end, so just set n equal to literally any number :)

Step-by-step explanation:

Example:

Let n = 1000

2(1000) + 3(1000) = 5(1000)

5000 = 500

Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides

Answer:

2n + 3n equals to 5n in the end, so just set n equal to literally any number

Step-by-step explanation:

Example:

Let n = 1000

2(1000) + 3(1000) = 5(1000)

5000 = 500

Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides

Answer: A. 5

Step-by-step explanation:

Answer:

A)  5 cm.

Step-by-step explanation:

Volume = length * width * height

150 = length * 5 * 6

Length = 150 / (5*6)

= 150/30

= 5.

Answer:

12

Step-by-step explanation:

1.4x10 is moving the decimal point one spot to the left, so it would be 14., which is just simply 14. Finally, 14-2=12 which is the answer.

Answer:

4289.4

Step-by-step explanation:

El valor que falta es 4289.4, 4289.4 ÷ 9 = 476.6