Rosita invested in a precious mineral. The value of the mineral tends to increase by about 12% per year. She invests $24,000 in 2014.

How much more will her investment be worth in 2025? Enter your answer in the box.

Round to the nearest whole dollar.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer: D

Step-by-step explanation:

x - 2 = 0   -->   x = 2

Using synthetic division:

2   |   4   -5   3   -1

    |   ↓    8   6   18

        4    3   9   17  ← this is the remainder!

Using remainder theorem:

f(x) = 4x³ - 5x² + 3x - 1

f(2) = 4(2)³ - 5(2)² + 3(2) - 1

     =   32   - 20    +  6    - 1

    = 17

Answer:

b - 60

Step-by-step explanation:

Let the number of books in the library be b.

The number of books in the library minus the 60 checked out is translated into a variable expression as b - 60

Answer:

[tex]b-60[/tex]

Step-by-step explanation:

We are given that the number of books in the library minus the 60

We have to translate the phrase into a variable expression.

We are given that a letter ''b'' is used for the number of books in the library.

Number of books in the library=b

According to question

[tex]b-60[/tex]

Hence, the required expression is given by

[tex]b-60[/tex]

Answer:

y+3= 8(x+2)

Step-by-step explanation:

original eq

y-y1=m(x-x1)

then you plug in given numbers

Answer:

[tex]y+3=8(x+2)[/tex]

Step-by-step explanation:

The point slope form:

[tex]y-y_1 = m(x-x_1)[/tex]

[tex]m=8\\(-2, -3)\\x_1=-2\\y_1=-3[/tex]

[tex]y-(-3)=8(x-(-2))[/tex]

[tex]y+3=8(x+2)[/tex]

Answer: y = (-1/2)*x + 1

Step-by-step explanation:

In the graph we can see a linear equation, the first thing we know is that a linear equation has the shape of:

y = ax + b

first, to find the slope we can use two pairs of the graphed ones, in the notation (x,y) we can select the pairs: (0, 1) and (2, 0)

we have that a = (y2 - y1)/(x2 - x1)

a = (0 - 1)/(2- 0 ) = -1/2

so the slope is -1/2

now, b is the y-intercept, this is the value of y when x = 0, and we can see that this value is 1 (the point where the graph intercepts the y-axis) so b = 1.

then the equation is y = (-1/2)*x + 1

Answer: Their actual volume in millions is 207×10⁹.

Step-by-step explanation:

Since we have given that

A certain corporation listed their sales in 100s as 20700

We need to find their actual volume in millions,

According to question,

In 100s, their volume = 2070000

In 100000, their volume is given by

[tex]207\times 10^5\\\\=2070000\times 10^5=207\times 10^9[/tex]

Hence, their actual volume in millions is 207×10⁹.

Given these two equations:

1) 5x + y = 2
2) 4x + y = 4

Let's solve for x and y step by step.

Step 1: We start by subtracting equation (2) from equation (1) to eliminate y:

This gives us:

5x - 4x = 2 - 4

Which simplifies to:

x = -2

Step 2: Now, we substitute x = -2 into the equation (1) to find the value of y:

5*(-2) + y = 2

Which simplifies to:

-10 + y = 2
And therefore:

y = 12

So, the solution to the system of equations is x = -2 and y = 12.

Answer:

Each shirt costs $22.95

Step-by-step explanation:

39.58 + 52.22 = 91.80

91.80/4 = 22.95

Answer:

E.

Step-by-step explanation:

Even though we have a sample of 40 units, we cannot determine that the units that are not in the sample will have the same or similar quality as the units that are in the sample. Thus none of the conclusions can be true.

Answer: Choice B) 100 pieces must be defective

Assuming the sample selected is representative of the population, we have two copies of "25" in that list (row 4; row 8) out of 40 total. So 2/40 = 1/20 = 0.05 = 5% of the items should be defective out of the entire population. Again this is assuming the sample is representative.

So we take 5% of 2000 and we end up with 0.05*2000 = 100 items we expect to be defective from a sample of 2000 items. Keep in mind that the true count will probably not be 100 items but some value close around it (eg: 98 or 101). This value is an estimate and not always perfect.

If choice B said "around 100" or "about 100" or "approximately 100" then I think it would be more technically correct. I think this is what your teacher is after.

Answer:21

Step-by-step explanation:

Answer:

21 stacks of 30

Step-by-step explanation:

630 divided into 30 stacks:

630/30= 21

Answer:25 spaces in a row

Step-by-step explanation: Multiply 6 levels by 15 rows. Answer is 90.

Divide 90 into 2,250 parking spaces.

Answer is 25 spaces in each row.

Answer:

a) -4 mult. 2

b) [tex](x+4)^2[/tex]

c) 2, quadratic

Step-by-Step Explanation:

A polynomial graph has several features we look for to determine the equations.

In this graph, there is one real zero: -4

We can write them in intercept or factored form as (x+4) since x+4=0 gives x=-4.

Because the graph never crosses the x-axis it has an even multiplicity of at least 2.

The graph is facing up and is a U shape. This can only be a quadratic of degree 2. It is positive.

This means the function has a degree of 2.

Answer:

27 children.

Step-by-step explanation:

We are told that at the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults at the movie.

We can see that number of children is proportional to number of adults. So we will use proportions to solve for number of children at the movie.

[tex]\frac{\text{Number of children}}{\text{Number of children + Adults}}=\frac{9}{4+9}[/tex]

[tex]\frac{\text{Number of children}}{\text{Number of children + Adults}}=\frac{9}{13}[/tex]

Let us substitute number of children and adults in our proportion.

[tex]\frac{\text{Number of children}}{39}=\frac{9}{13}[/tex]

Multiply both side of equation by 39.

[tex]39*\frac{\text{Number of children}}{39}=39*\frac{9}{13}[/tex]

[tex]\text{Number of children}=39*\frac{9}{13}[/tex]

[tex]\text{Number of children}=3*9[/tex]

[tex]\text{Number of children}=27[/tex]

Therefore, 27 children are at the movie.

Answer:

D. 13.267 m

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

7^2 + b^2 = 15^2

49 + b^2 = 225

Subtract 49 from each side

b^2 = 225-49

b^2 =176

Take the square root of each side

sqrt(b^2) = sqrt(176)

b = sqrt(176)

b = 13.266

For the expression (16y^5/4y^3)^12, you need to simplify the fraction inside the parentheses and then apply the square root to the simplified fraction. The final result is 2y.

The simplification of the expression (16y^5/4y^3)^12 into steps.

Simplify the fraction inside the parentheses:

16y5/4y3

=4y2

Apply the square root to the simplified fraction:

(4y2)12

=2y

By taking the square root, we reduce the exponent by half.

Therefore, the simplified expression is 2y.

Answer:

see below

Step-by-step explanation:

(a) this is in the second quadrant.

(b) The tangent is negative in this quadrant

(c)

17 pi / 6  = 2 5pi/6

= 5pi/6 (this is the reference angle)

(d) this is equivalent to  -tan (pi/6)

(e)

tan 17pi/6

= tan 5pi/6

-√3/3

Answer:KL

Step-by-step explanation:

Answer:

3 boxes.    

Step-by-step explanation:

We are told that Janice bought juice packets for the 15 players on the soccer team. The juice packets come in boxes of 6.

To find the number of boxes that Janice need to buy for 25 players, we will divide 15 by 6.

[tex]\text{Number of boxes that Janice needs to buy}=\frac{15}{6}[/tex]

[tex]\text{Number of boxes that Janice needs to buy}=2.5[/tex]

Since the juice packets come in boxes of 6, so we will round our answer to nearest whole number.

[tex]\text{Number of boxes that Janice needs to buy}=2.5\approx 3[/tex]

Therefore, Janice will buy 3 boxes of juice packets for 15 players.

The question entails a simple division operation of 15 players divided by 6 juice packets per box which gives 2.5. However, since Janice can't buy half a box, she ends up buying 3 boxes of juice packets.

To answer your question, we need to perform a simple division arithmetic operation. This involves taking the total number of players which is 15 and dividing that by the number of juice packets in one box, which is 6 .  The calculation is as follows: 15 ÷ 6 = 2.5. However, Janice cannot purchase half of a box so she would need to round up to the nearest whole number. Hence, Janice bought 3 boxes of juice packets for the soccer team.

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Answer:

A. (10,1)

Step-by-step explanation:

Answer:

3(x - 3)(x + 2)

Step-by-step explanation:

take out a common factor of 3 from each term

= 3(x² - x - 6)

to factor the quadratic consider the factors of - 6 which sum to - 1

These are - 3 and + 2, hence

3x² - 3x - 18 = 3(x - 3)(x + 2) ← in factored form

Answer:

yes you are right

Step-by-step explanation:

d=50t

Answer:

Yes. It is :

D=50t

Step-by-step explanation:

Answer:7.50(x) + 24 is the answer

Step-by-step explanation:

Answer: what is the whole question angel?

Step-by-step explanation:

Answer:

Andy bought = 13 cakes.

Betty bought = 52 cakes.

Colin bought = 16 cakes.

Step-by-step explanation:      

We are told that Andy buys x cakes. Betty buys 4 times as many cakes as Andy. So number of cakes bought by Betty will be 4*x.

We are also told that Colin buys 3 more cakes than Andy. So number of cakes bought by Colin will be x+3 cakes.

Each cake costs 65 p. The total cost of the cakes is $52.65. We can represent this information as:

[tex]0.65(x+4*x+x+3)=52.65[/tex]

[tex]0.65(2x+4*x+3)=52.65[/tex]

[tex]1.3x+2.6x+1.95=52.65[/tex]  

Let us combine like terms.

[tex](1.3+2.6)x+1.95=52.65[/tex]

[tex]3.9x+1.95=52.65[/tex]

[tex]3.9x=52.65-1.95[/tex]

[tex]3.9x=50.7[/tex]

[tex]x=13[/tex]

Therefore, Andy bought 13 cakes.

Let us find number of cakes bought by Betty by substituting x=13 in expression 4*x.

[tex]\text{Cakes bought by Betty}=4*13[/tex]

[tex]\text{Cakes bought by Betty}=52[/tex]

Therefore, Betty bought 52 cakes.

Now we will find number of cakes bought by Colin by substituting x=13 in expression x+3.

[tex]\text{Cakes bought by Colin}=13+3[/tex]

[tex]\text{Cakes bought by Colin}=16[/tex]

Therefore, Colin bought 16 cakes.

Andy bought 13 cakes, Betty bought 52 cakes, and Colin bought 16 cakes.

Let's break down the given information and solve the problem step by step:

Let the number of cakes bought by Andy be x.

Betty buys 4 times as many cakes as Andy, so she buys 4x cakes.

Colin buys 3 more cakes than Andy, so he buys (x+3) cakes.

The total cost of the cakes is €52.65, and each cake costs 65p.

Now, we can create the equation to find the value of x:

x*(65p) + 4x*(65p) + (x+3)*(65p) = £52.65

Simplifying the equation:

65x + 260x + 65x + 195 = 5265

390x + 195 = 5265

390x = 5070

x = 13

So, Andy bought 13 cakes, Betty bought 4x13 = 52 cakes, and Colin bought (13+3) = 16 cakes.

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The measure of the smaller angle, when it is one-fourth the measure of the other supplementary angle, is 36 degrees.

The student is asking about the measures of two supplementary angles where one angle is four times the measure of the other angle. In Mathematics, supplementary angles are two angles whose sum is 180 degrees. Let's call the smaller angle 'x' and the larger angle '4x'. The equation we need to solve is:

x + 4x = 180

This equation simplifies to '5x = 180', meaning that 'x', the smaller angle, is equal to '180 / 5', which calculates to be 36 degrees. Therefore, the measure of the smaller angle is 36 degrees.

The sample mean X¯

X

¯

has normal distribution, mean the population mean μ

μ

, and standard deviation τ=84√

τ

=

8

4

. We want Pr(X¯−μ>2)

Pr

(

X

¯

−

μ

>

2

)

, which is Pr(Z>2τ)

Pr

(

Z

>

2

τ

)

, where Z

Z

is standard normal.

Answer:

Step-by-step explanation:

Remark

You need 2 facts.

That means you can use the Pythagorean Theorem.

If one side of a square is a then the 1 after it is a as well.

Formula

Givens

Solution

Perimeter

P = 4s

You don't need the area. The answer is D

Area

For a square with a diagonal length of 11in, the side length is 11√2/2. The area of the square is then 60.5 square inches and the perimeter is 22√2 inches.

To find the perimeter and area of a square with a given diagonal length, we need to firstly understand the relation between the diagonal and sides of the square. A square's diagonal divides it into two equal right triangles, and according to Pythagoras' theorem, the diagonal, being the hypotenuse in these right triangles, is equal to the square root of the sum of the squares of the sides. But since all sides of a square are equal, let's say the side length is 'a', then the diagonal would be 'a√2'.

Given that the diagonal length is 11in, we then have:

11 = a√2 or a = 11/√2

It's common to rationalize the denominator which gives: a = 11√2/2

Area of a square is a², therefore, Area = (11√2/2)² = 121/2 = 60.5 square inches.

The Perimeter of a square is 4a, therefore, Perimeter = 4 * (11√2/2) = 22√2 inches.

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[tex]\sin^2q+\cos^2q=1\to \cos^2q=1-\sin^2q\to\cos q=\pm\sqrt{1-\sin^2q}\\\\q\ \text{terminates in the fourth quadrant, therefore}\ \cos q > 0.\\\\\sin q=-\dfrac{3}{5}\to\cos q=\sqrt{1-\left(-\dfrac{3}{5}\right)^2}\\\\\cos q=\sqrt{1-\dfrac{9}{25}}\\\\\cos q=\sqrt{\dfrac{25}{25}-\dfrac{9}{25}}\\\\\cos q=\sqrt{\dfrac{16}{25}}\\\\\cos q=\dfrac{4}{5}[/tex]

[tex]\tan q=\dfrac{\sin q}{\cos q}\\\\\sin2q=2\sin q\cos q\\\\\cos2q=\cos^2q-\sin^2q\\\\\text{therefore}\\\\\tan2q=\dfrac{\sin2q}{\cos2q}=\dfrac{2\sin q\cos q}{\cos^2q-\sin^2q}\\\\\text{substitute}\\\\\tan2q=\dfrac{2\left(-\dfrac{3}{5}\right)\left(\dfrac{4}{5}\right)}{\left(\dfrac{4}{5}\right)^2-\left(-\dfrac{3}{5}\right)^2}=\dfrac{-\dfrac{24}{25}}{\dfrac{16}{25}-\dfrac{9}{25}}=\dfrac{-\dfrac{24}{25}}{\dfrac{7}{25}}=-\dfrac{24}{25}\cdot\dfrac{25}{7}=-\dfrac{24}{7}[/tex]

[tex]Answer:\ \boxed{B:\ -\dfrac{24}{7}}[/tex]

The exact value of tan 2θ will be –24/7. Then the correct option is B.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

If sin θ = -3/5.

Then the value of cos θ will be

cos² θ = 1 – sin² θ

cos² θ = 1 – (-3/5)²

cos² θ = 1 – 9/25

cos² θ = 16/25

 cos θ = 4/5

Then the value of tan 2θ will be

[tex]\tan 2\theta = \dfrac{\sin 2\theta }{ \cos 2\theta}\\\\\\\tan 2\theta = \dfrac{2 \sin \theta \cos \theta }{ \cos^2 \theta - \sin ^2 \theta}\\\\\\\tan 2\theta = \dfrac{2 * \frac{-3}{5} * \frac{4}{5} }{( \frac{4}{5})^2 - ( \frac{-3}{5}) ^2 }[/tex]

Simplify the equation, we have

tan 2θ = (–24/25) / (7/25)

tan 2θ = –24/7

Then the correct option is B.

More about the trigonometry link is given below.

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Answer:

Option a is correct.

Exponential functions exhibit exponential growth (or decay) which mean the graph will rise or fall more dramatically than a polynomial graph

Step-by-step explanation:

An exponential function is in the form of [tex]y =ab^x[/tex] where a≠0  is a y-intercepts and  b is a positive number other than 1, multiplier this base is constant  , x  is the independent variable  and y is the dependent variable.

Exponential growth:

Exponential decay:

therefore, the graph will rise or fall more dramatically than a polynomial graph