Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?

Answer:

Step-by-step explanation:

First we have to match these two terms

g(x)= g(-3)

Now we just replace the -3 with the x

-3^2 - 4

9-4

5 ----> the final answer

(btw the negative turned positive because it is squared)

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}[/tex]

[tex]\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}[/tex][tex]\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}[/tex]

[tex]\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}[/tex]

[tex]\huge\boxed{\text{Good luck on your assignment \& enjoy your day,}}[/tex]

Answer:

[tex]38[/tex] and [tex]68[/tex].

Step-by-step explanation:

Let [tex]x[/tex] be the smaller one of the two number.

[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].

The question states that the product of the two numbers is [tex]2584[/tex]. In other words:

[tex]x\, (x + 30) = 2584[/tex].

Rearrange this equation and solve for [tex]x[/tex]:

[tex]x^{2} + 30\, x - 2584 = 0[/tex].

The first root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].

Similarly, the second root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].

Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.

Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].

9514 1404 393

Answer:

  38 and 68

Step-by-step explanation:

Let x represent the average of the two numbers. Then their product is ...

  (x -15)(x +15) = 2584

  x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2

  x = √2809 = 53

Then the two numbers are ...

  53 +15 = 68

and

  68 -30 = 38

The two numbers are 38 and 68.

_____

Additional comment

Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.

Answer:

2.5v + 85

v = 12

Step-by-step explanation:

115 - 85 = 30

30 / 2.5 = 12 (He needs to go 12 times)

Answer:

13

Step-by-step explanation:

Since the angles form 180 degrees, it will be what the equation is equal to.

Make the equation:

8r + 5 + 5r + 6 = 180

Combine like terms:

8r + 5 + 5r + 6 = 180

13r + 5 + 6 = 180

13r + 11 = 180

Solve:

13r + 11 = 180

       -11     -11

---------------------

     13r = 169

    ------   ------

      13      13

        r = 13

Hope this helped.

Answer:

m = -1

Step-by-step explanation:

Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].

8-5/7-4

3/3

1

Find the y-intercept.

5 = 1(4) + b

5 = 4 + b

1 = b

So the equation of the line AB is y = x + 1.

The slope of a perpendicular line is the opposite reciprocal of the original line.

1 -> -1/1 -> -1

Best of Luck!

Tables are used to show the relationship between variables in a visual form. The equation of the situation is: [tex]y = 7x[/tex]

The complete table is as follows:

[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]

Given that:

[tex]2\ page = 14\ photos[/tex]

Let:

[tex]y \to pages[/tex]

[tex]x \to photos[/tex]

So, we have:

[tex]2y = 14x[/tex]

Divide by 2

[tex]y = 7x[/tex]

To fill the table, we simply multiply both sides by the same constant.

Multiply by 0.5

[tex]2\ page \times 0.5= 14\ photos \times 0.5[/tex]

[tex]1\ page = 7\ photos[/tex]

Multiply by 2

[tex]2\ page \times 2 = 14\ photos \times 2[/tex]

[tex]4\ page = 28\ photos[/tex]

Multiply by 3

[tex]2\ page \times 3 = 14\ photos \times 3[/tex]

[tex]6\ page = 42\ photos[/tex]

So, the table is as follows:

[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]

Read more about tables at:

https://brainly.com/question/13140019

Answer:

1360

Step-by-step explanation:

there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.

Answer:

Three axis given

[tex]\\ \sf\longmapsto \overleftrightarrow{HI}[/tex]

[tex]\\ \sf\longmapsto \overleftrightarrow{EF}[/tex]

[tex]\\ \sf\longmapsto \overleftrightarrow{GJ}[/tex]

Now

All are intersected at one point G

Hope thia help u!!!!!...:/)

Answer:

ffffgggghhhuukufgnjsdhn

Answer:

∞

Step-by-step explanation:

since cos(0) = 1, you have 1/0

Answer:

3=g/-4  -5

3+5=g/-4

8= g/-4

8x(-4)=g

g=-32

Step-by-step explanation:

Answer:

5 + 8 × 4

Assuming "five and eight" means 5 + 8

Answer:

0 because 1-1=0 and that is the answer

Answer:

I belive I might be c not completely sure but pretty positive

Answer:

A. x≤2; B. wrong unequality after dividing by negative number.

Step-by-step explanation:

9x-18x≥ -18;

-9x≥ -18;

0≥ -18+9x;

18≥9x;

9x≤18;

x≤2.

The 10 hypothetical numbers which meets the conditions given on the question may include :

1, 2, 3, 5, 6, 6, 7, 10, 10, 12

The five number summary include the maximum, minimum, lower quartile, Median and upper quartile of a distribution.

The five number summary of the hypothetical data are:

Median: 6

Minimum: 1

Maximum: 12

Lower quartile: 2.75

Upper quartile: 10

Comparing the 5 - number summary of the hypothetical data with that of the given boxplot.

From the given  boxplot shown :

Minimum value = 1

Maximum value = 12

Median = 6

LOWER QUARTILE, Q1 = 4

UPPER QUARTILE, Q3 = 8

IQR = (Q3 - Q1) = 8 - 4 = 4

THE 10 made up numbers :

1, 2, 3, 5, 6, 6, 7, 10, 10, 12

The five number summary for the made up data :

Median = 1/2(n+1)th term = 5.5th term = (6+6)/2 = 6

Minimum: 1

Maximum: 12

First quartile = 1/4(n+1)th = 2.75th term = (2+3)/2 = 2.5

Third quartile: 3/4(n+1)th term = 8.25 = (10+10)/2 = 10

Interquartile Range: (10 - 2.5) = 7.5

Learn more : https://brainly.com/question/12992903?referrer=searchResults

Answer:

the answer is "B"

the "a" (as in ax^2) is negative thus the parabola "goes downward"

Step-by-step explanation:

The equation of parabola is,

y = - 1/2x²

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.

We have to given that;

In a parabola,

Vertex = (0, 0)

Since, We know that;

Standard form of equation of parabola is,

y = a (x - h)² + k

Where, (h, k) = (0, 0) = vertex

Hence, We get;

y = a (x - 0)² + 0

y = ax²

Here, A point on parabola is, (2, - 2)

- 2 = a (2)²

a = - 2 / 4

a = - 1/2

Hence, The equation of parabola is,

y = - 1/2x²

Learn more about parabola visit:

https://brainly.com/question/29635857

#SPJ7

Answer:

7.5

Step-by-step explanation:

168.75 divided by 22.5 = 7.5

$7.50 dollars an hour.

7.50 x 22.5 = 168.75

Answer:

5 more matches was won by yu-na kim

-7/10 + (-5/6) = -(7/10 + 5/6) =

= -(21/30 + 25/30) = -46/30 =

= -1 16/30 = -1 8/15 ← the end

Answer:

$43.75

Step-by-step explanation:

(35/8)x10=43.75

Answer:

Step-by-step explanation:

P{2 of 4 tagged}=(52)(152)(204)  

=0.2167

Answer:

Step-by-step explanation:

Quantity 3 plus the square root of negative 16 end quantity:

Quantity 6 minus the square root of negative 64 end quantity:

Multiply the two above:

Answer:

3rd, y=-1/5x

Step-by-step explanation:

Answer:

23.8 years

Step-by-step explanation:

Assuming this is compound interest, we'll use the compound interest formula

A = P(1 + r)ⁿ

A = Final amount (2000)

P = Initial amount (500)

r = Annual interest rate (.06)

n = ?

Our equation will look like this

2000 = 500(1.06)ⁿ

First, divide both sides by 500

2000/500 = (500(1.06)ⁿ)/500

(1.06)ⁿ = 4

Then we have to take the log₁.₀₆ out of both sides

n = log₁.₀₆(4)

n = 23.79132