19. You borrow
$3000 (prinupal)
for 4 years and
pay a 9% interest
9
rate. How much
interest do you
pay ?

↬ Multíplícαtíσn prσpєrtч σf thє tєrmѕ wíth ѕαmє вαѕє -

[tex] \qquad \sf \Rightarrow {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

[tex]\rule{7cm}{1 mm}[/tex]

❑ Nσw lєtѕ αpplч thє prσpєrtч ín gívєn quєѕtíσn

[tex] \qquad ➫ \: \sf2p {}^{ - 4} \times 3 {p}^{2} \times 2 {p}^{0} [/tex]

[tex] \qquad ➫ \: \sf (2 \times 3 \times 2)(p {}^{ - 4} \times {p}^{2} \times 1)[/tex]

[ p⁰ = 1 ; exponent 0 on any numвєr has value 1 ]

[tex] \qquad ➫ \: \sf 12(p {}^{ - 4 + 2} )[/tex]

[tex] \qquad ➫ \: \sf 12p {}^{ - 2} [/tex]

I hσpє чσu undєrѕtσσd thє prσcєdurє, lєt mє knσw ɪf чσu hαvє αnч dσuвtѕ ~

[tex]\rule{7cm}{1 mm}[/tex]

[tex]\qquad \qquad\huge \dag \: \normalsize \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

Answer:

x=5

Step-by-step explanation:

Answer:

125 = [tex]5^{x}[/tex]

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

given

[tex]log_{5}[/tex] 125 = x , then

125 = [tex]5^{x}[/tex] ← in exponential form

note 125 = 5³ , then

5³ = [tex]5^{x}[/tex] ⇒ x = 3

Answer:

no solution

Step-by-step explanation:

The solution of a system of equations is where the two lines intersect

Looking at the gray, the two lines never intersect therefore there is no solution.

Answer: 3x -2y -2x 1y

Step-by-step explanation: The lower line is at 3x -2y

                                              The upper line is at -2x 1y  

Answer:

Step-by-step explanation:

h

(

x

)

=

x

2

−

8

x

+

16

Rewrite the equation in term of

x

and

y

.

h

(

x

)

=

x

2

−

8

x

+

16

Rewrite the equation in vertex form.

Tap for more steps...

y

=

(

x

−

4

)

2

+

0

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

1

h

=

4

k

=

0

Answer:

C and D

Step-by-step explanation:

Turn these two fractions into improper fractions to make the equation easier.

4 1/4 = 17/4

2 2/4 = 10/4

17/4 - 10/4 = 7/4

7/4 = 1 3/4

Therefore, your answers would be C and D

Answer: What topic is this again??

Answer:

[tex]\begin{bmatrix}x+5y=-4\\ 2x+10y=-8\end{bmatrix}[/tex]

First, Isolate "x" for x+5y=-4= x=-4-5y

[tex]\begin{bmatrix}2\left(-4-5y\right)+10y=-8\end{bmatrix}[/tex]

Simplify

[tex]\begin{bmatrix}-8=-8\end{bmatrix}[/tex]

Therefore, the solutions are x=-4-5y

~

Answer:

3/7

Step-by-step explanation:

9 + 7 + 5 = 21

9/21 divided by 3/3

= 3/7

Hello!

This is a parallelogram. It is a quadrilateral with two pairs of parallel sides. Here, the opposite angles are alternate, that is, they have togheter 180°.

Rhombus

This is a rhombus. It is a quadrilateral whose four sides all have the same length. Here, the diagonals of a rhombus intersect at equal angles.

A rhombus has opposite angles equal and the figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa. It has an inscribed circle.

Good luck:)

Answer:

[tex]\sqrt49[/tex]

Step-by-step explanation:

Knowing that: A rational number is a number that is in the form of p/q, which  p and q are integers, and q whom is not equal to 0. Any number that can be written as a ratio (or fraction) of two integers is a rational number.49 is a rational number because it can be expressed as the quotient of two integers: 49 ÷ 1.

Hence, the answer is [tex]\sqrt 49[/tex]

`Lenvy~

Answer:

6.5 years

Step-by-step explanation:

Simple interest formula:  [tex]A=P(1+rt)[/tex]

where:

Given:

[tex]\implies 8962.5=7500(1+0.03t)[/tex]

[tex]\implies t=\dfrac{100}{3}\left(\dfrac{8962.5}{7500}-1\right)[/tex]

[tex]\implies t=6.5[/tex]

Therefore, she borrowed the money for 6.5 years

Answer:

1090 yd squared

Step-by-step explanation:

First, let's find the area of the base

16 x 17 = 272

Now let's find the triangular face

1/2 x 16 x 15

8 x 15 = 120

Since there are 2, we multiply 120 by 2

240

Now the rectangular face

17 x 17 = 289

Since there are 2, we multiply 289 by 2

289 x 2 = 578

Now we add them all together

578 + 240 + 272 = 1090

1090 yd squared

Answer:

Step-by-step explanation:

The absolute value function multiplies its argument by -1 if and only if that argument is negative.

  [tex]|x-120|=\begin{cases}-(x-120)&\text{for }(x-120) < 0\\(x-120&\text{for }(x-120)\ge0\end{cases}[/tex]

The first condition resolves to ...

  x -120 < 0   ⇒   x < 120 . . . . . matches the given condition x < -120

So, we can simplify the expression to ...

  -(x -120) = 120 -x . . . when x < -120

__

  [tex]|x-(-12)|=\begin{cases}-(x+12)&\text{for }(x+12) < 0\\(x+12)&\text{for }(x+12)\ge0\end{cases}[/tex]

The second condition resolves to ...

  x+12 ≥ 0   ⇒   x ≥ -12 . . . . . matches the given condition x > -12

So, we can simplify the expression to ...

  x +12 . . . when x > -12

_____

Additional comment

You may have noticed that the function |x -120| translates the absolute value function 120 units to the right. The condition x < -120 puts the boundary at 120 unit to the left of 0, well within the area to the left of the vertex. This is illustrated by the attached graph.

Answer:

he took 4hpurs to reach him at a destination of 60miles if he drove for additional 2hours that will be 80miles

Answer:

It goes by 5 i think so.

Step-by-step explanation:

Answer: [tex]y=\frac{3}{17}x-13[/tex]

Step-by-step explanation:

Find the slope of the line between (-17, -16) and (0,-13) using [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], the change of y over the change of x

[tex]m=\frac{3}{17}[/tex]

Use the slope and a given point to substitute for [tex]x_{1}[/tex] and [tex]y_{1}[/tex] in the point-slope form [tex]y-y_{1} =m(x-x_{1} )[/tex].

[tex]y-(-16)=\frac{3}{17}(x+17)[/tex]

Solve for y and rewrite into [tex]y=mx+b[/tex]

[tex]y=\frac{3}{17}x-13[/tex]

Answer:

Find the HCF of 72 and 180

The number of ways there are to form the teams so that Alice and Andrew are on opposite teams is 2 ways.

Since Alice, Andrew, and six other students are to be divided into two teams of four people, and we require the number of ways to form the teams so that Alice and Andrew are on opposite teams, this is a combination question since order doesn't matter.

For the first team of 4, if Alice takes the first position, then there are 3 positions left to be occupied by the remaining 3 persons.

So, the number of ways of combining this team is n = 1 × ³C₃

= 1 × 1

= 1 way

Also, for the second team of 4, if Andrew takes the first position, then there are 3 positions left to be occupied by the remaining 3 persons.

So, the number of ways of combining this team is N = 1 × ³C₃

= 1 × 1

= 1 way

So, the number of ways teams can be formed so that Alice and Andrew are on opposite teams is N' = n + N

= 1 + 1

= 2 ways

So, the number of ways there are to form the teams so that Alice and Andrew are on opposite teams is 2 ways.

Learn more about combination here:

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===================================================

Explanation:

The notation

P( Take the bus | Junior)

is the same as writing

P( Take the bus given Junior)

I replaced the vertical bar with the word "given".

Since we're given that the person is a Junior, this means we only focus on the Juniors. There are 13+20+2 = 35 Juniors and 20 of them take the bus.

20/35 = 0.5714 approximately which rounds to 0.57

This says about 57% of the Juniors take the bus.

The probability of P(take the bus/Juniors)  is 0.57 or in percentage is 57%.

It is a branch of mathematics that deals with the occurrence of a random event.

We have to find the probability of who take the bus and they are juniors

P(take the bus/Juniors)

From the table, let us find the total number of juniors

Among juniors 13 students drive to school, 20 takes the bus and 2 come by walk

Total Juniors = 13+20+2

=35

P(take the bus/Juniors) = 20/35

Divide twenty by thirty five

=0.57

Hence, the probability of P(take the bus/Juniors)  is 0.57 or 57%.

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Answer:

p*106.5/100

Step-by-step explanation:

Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .

Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

For equal roots

[tex]\quad\green{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}} [/tex]

So,

[tex]\sf{ β² - 4αc = 0}[/tex]

Here,

Now,

[tex]\begin{gathered}\implies\quad \sf p²- 4 \times 4 \times 3 =0 \end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf p²- 48 =0 \end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf p²=48\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf p=±\sqrt{48}\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf p=±\sqrt{2 \times 2 \times 2 \times 2 \times 3} \end{gathered}[/tex]

[tex]\begin{gathered}\implies\quad \sf p=± 2\times 2\sqrt{ 3 }\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \boxed{\sf{p=±4\sqrt{ 3 }}}\end{gathered} [/tex]

Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-

4√3 and -4√3.

Similar triangles: The corresponding angles are equal

x = 180-(38+24) = 118°

Answer:

choice D

a function is loosely defined as having one output for each input. in real people words, the x value can't repeat

well, let's take a look at the table

is g(x) increasing from -2 to -1? hmmm from when x = -2 g(x) = 2, then when x = -1, g(x) = -3, hold the mayo!! it went from 2 to -3, that's just going down, so, nope is not.

is itdecreasing from -1 to 0?  hmmm x = -1, g(x) = -3, as x = 0, g(x) = 2, wait a second!!! it went from -3 to 2, it really went up, so nope, is not decreasing on that interval.

is it increasing from 0 to 1?  let's see, as x = 0, g(x) = 2, as x = 1, g(x) = 17, woahhh!!, it went from 2 and rocketted to 17, yeap, it is increasing as x = 0 to x = 1.

Answer:

B

Step-by-step explanation:

Answer:

50c=10c+200

Step-by-step explanation:

Two different payment plans, the equation which can solve for the number of classes that equates to both plans is 200 + 10c = 50c.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To solve for the number of classes, c, for which the cost of Plan A equals Plan B, you can use the equation: 200 + 10c = 50c.

In this equation, the left-hand side represents the cost of Plan B, and the right-hand side represents the cost of Plan A. The variable, c, represents the number of classes that Aaliyah and Phildres attend.

To solve for c, you can use algebraic techniques to isolate the variable on one side of the equation. For example, you could subtract 10c from both sides of the equation to obtain: 200 = 40c. Then, you could divide both sides of the equation by 40 to obtain: 5 = c.

Therefore, the number of classes, c, for which the cost of Plan A equals Plan B is 5.

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The question seems to be incomplete the correct question would be:

Aaliyah and Phildres are joining a gym that offers two different payment plans. Aaliyah chooses Plan A, and Phildres chooses Plan B.

Plan A

No yearty fee

Plan B

$200 yearly fee

$50 for each class

$10 for each class

Which equation can be used to solve for the number of classes, c, for which the cost of Plan A equals Plan B?

Answer:

Step-by-step explanation:radius r = 4 m

height h = 13 m

slant height s = 13.6014705 m

volume V = 217.817091 m3

lateral surface area L = 170.921119 m2

base surface area B = 50.2654825 m2

total surface area A = 221.186602 m2

The percent error for the manager's estimate is 66.7%

Using this formula

Percent error=First day number of customers-Expected  customers/Expected customers×100

Let plug in the formula

Percent error=75 customers-45 customers/45 customers×100

Percent error=30 customers/45 customers×100

Percent error=66.66%

Percent error=66.7(Approximately)

Inconclusion  the percent error for the manager's estimate is 66.7%.

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Answer:

y equals to 42

Step-by-step explanation:

since x=15, y will equal to 15+27

therefore, y=42

Answer:

10,293

Step-by-step explanation:

Answer:

The answer is C.Standard Form. The rest are used when graphing. Hope this helps!

Let's verify all options to see which is correct.

This equation is not in point-slope form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in point-slope form.

This equation is not in slope intercept form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in slope intercept form.

This equation is in standard form because if we compare the given equation with the formula, they both will be in similar forms.

Henceforth, this equation is in standard form.

This equation is not in general form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in slope intercept form.