Ross has $750 in a bank account that earns 9% in annual interest. Select an equation that represents this scenario.

PLS HELP

The future value of the annuity after the end of 5 years is $552.56.

Given that, r =5%= 0.05, 5 years  = 5 yearly payments, so n = 5, and P = $100.

The formula to find the annuity formula [tex]FV=\frac{P \times ((1+r)^{n}-1 )}{r}[/tex].

Now, [tex]FV=\frac{100 \times ((1+0.05)^{5}-1 )}{0.05}[/tex]

⇒FV = 100 × 55.256

⇒FV = $552.56

Therefore, the future value of the annuity after the end of 5 years is $552.56.

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Answer:

x-intercepts:  (-1, 0) and (2, 0)

x-intercept:  (-3, 0)

Step-by-step explanation:

Given quadratic function:

[tex]f(x)=-4x^2+4x+8[/tex]

The x-intercepts of a quadratic function are the points at which the curve crosses the x-axis ⇒ when y = 0

Therefore, to find the x-intercepts of the given function, set the function to zero:

[tex]\implies -4x^2+4x+8=0[/tex]

Factor out -4:

[tex]\implies -4(x^2-x-2)=0[/tex]

Divide both sides by -4

[tex]\implies x^2-x-2=0[/tex]

Rewrite the middle term as -2x + x:

[tex]\implies x^2-2x+x-2=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x-2)+1(x-2)=0[/tex]

Factor out the common term (x - 2):

[tex]\implies (x+1)(x-2)=0[/tex]

Zero Product Property:  If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

[tex]\begin{aligned}(x+1) & = 0 & \quad \textsf{ or } \quad \quad (x-2) & = 0\\\implies x & = -1 & \implies x & = 2\end{aligned}[/tex]

Therefore, the x-intercepts are (-1, 0) and (2, 0).

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Given quadratic equation:

[tex]-9 = x^2 + 6x[/tex]

Add 9 to both sides:

[tex]\implies x^2+6x+9=0[/tex]

Rewrite the middle term as 3x + 3x:

[tex]\implies x^2+3x+3x+9[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x+3)+3(x+3)=0[/tex]

Factor out the common term (x + 3):

[tex]\implies (x+3)(x+3)=0[/tex]

[tex]\implies (x+3)^2=0[/tex]

Square root both sides:

[tex]\implies (x+3)=0[/tex]

Solve for x:

[tex]\implies x=-3[/tex]

Therefore, the x-intercept is (-3, 0).

As the function has a repeated factor (multiplicity of two), the curve will touch the x-axis at (-3, 0) and bounce off.  

Answer:

E.  16y

Step-by-step explanation:

Given equation:

5(x - 6y) = 50y

Expand the brackets using
Distributive Property for subtraction:  a(b - c) = ab - ac

⇒ 5 · x - 5 · 6y = 50y

⇒ 5x - 30y = 50y

Add 30y to both sides:

⇒ 5x - 30y + 30y = 50y + 30y

⇒ 5x = 80y

Divide both sides by 5:

⇒ 5x ÷ 5 = 80y ÷ 5

⇒ x = 16y

Answer:

100

Step-by-step explanation:

10^2 is 100 therefore it is 100

In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.

a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.

b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.

c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.

d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.

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Answer:

Your $19,513 loan has 60 monthly payments of $366.00 at 4.75%.

If you make all of your payments on this loan, and do not prepay any of the principal, the total interest for this loan is $2,447.26.

Step-by-step explanation:Loan Summary

Total payments $21,960.26

Total interest paid $2,447.26

Loan amount $19,513

Monthly payment $366.00

Interest rate 4.75%

Term 60 monthly payments

Using Pythagoras theorem,  we know that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

Therefore,

c²= a²+ b²

where

Therefore,

3² + 4² = 5²

Hence,

Knowing that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle

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Answer:

B. 30

Step-by-step explanation:

3x + 2x + x = 180 (angle sum of a triangle is 180)

6x = 180

x = 30

Answer:

B. 30

Step-by-step explanation:

3x + 2x + x = 180

             6x = 180

               x = 180/6

               x = 30

From the given options A and option D are the possible equations will be;

                x² + (y – 3)² = 36

      or,      x² + (y + 8)² = 36

A circle is a round 2-dimensional shape. It is a closed shape with a distance from center to circumference termed as radius 'r' and distance from one point on the circumference to another point passing through center termed as diameter 'd'.

Here, General equation of circle

   (x - a)² + (y - b)² = r²

where, (a, b) are the coordinates of center

           and r is the radius of circle.

Now, given data; Diameter = 12 units

                                 Radius  = 6 units

center lies on y-axis so coordinates will be (0, b)

   Equation of given circle

                    x² + (y - b)² = 6²

                     x² + (y - b) = 36

where, b may be any value on y-axis.

Thus, from the given options A and option D are the possible equations will be;

                x² + (y – 3)² = 36

      or,      x² + (y + 8)² = 36

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The errors Emma made are

From the question, we are to determine the errors that Emma made

The given statement is

"The quotient of six and a number, x, is the same as negative two times the difference of x and 4.5"

"The quotient of six and a number, x", can be expressed as

6/x

"Two times the difference of x and 4.5", can be expressed as

2(x - 4.5)

Hence, the errors Emma made are

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There are 8,709,120 ways to arrange the people around the table

The given parameters are:

People = 13

Actors = 9

If the actors must seat together, then the actors must be grouped as 1.

The 9 actors can be arranged in 9! ways

Now, we have 1 group + 4 individuals.

This equals 5 people (in theory)

The 5 people can be arranged in 5! ways

So, the number of ways is

Ways= 9! * 5!

Evaluate

Ways = 8,709,120

Hence, there are 8,709,120 ways to arrange the people around the table

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Answer:

b

Step-by-step explanation:

15/8

The inverse of the function f(x) = 2x + 5 is; f⁻¹(x) = (x - 5)/2

An inverse function in mathematics is function which reverses the another function.

We want to find the inverse of the function; f(x) = 2x + 5

Thus;

Step 1; y = 2x + 5

Step 2; Subtract 5 from both sides to get;

y - 5 = 2x

Step 3;  Since we want to find the inverse of f(x), then we now have;

x - 5 = 2y

Step 4: Divide both sides by 2 to get;

(x - 5)/2 = y

Step 5; Thus, we have;

f⁻¹(x) = (x - 5)/2

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Answer: -2

Step-by-step explanation:

When x = 0, y = -2.

So, f(0) = -2.

Answer:

I don't know how to answer this, sorry!

Step-by-step explanation:

.

Aplicando el concepto de precio unitario, concluimos que Julio debe pagar 8.70 soles peruanos por la producción de 29 fotocopias de los apuntes de un compañero.

En esta situación, Julio debe pagar por 29 fotocopias de los apuntes de un  compañero suyo. El monto a pagar es el producto del número de copias y el coste unitario de cada fotocopia, es decir:

x = (0.30 PEN) · (29)

x = 8.70 PEN

Aplicando el concepto de precio unitario, concluimos que Julio debe pagar 8.70 soles peruanos por la producción de 29 fotocopias de los apuntes de un compañero.

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Answer:

D

Step-by-step explanation:

Converting percent to decimal : 2.2/100 = 0.022

Finding 2.2$ of $75k : 75,000 x 0.022 = $1,650 (also the increase in one year)

Finding how much it was worth after 11 years :

(75,000 x 0.022) x 11 = $18,150 or 1,650 x 11 = $18,150

Now add the product to the regular amount to find out the answer:

75,000 + 18,150 = $93,150 (which is how much it increased after 11 years)

Answer:

7720 mm²

Step-by-step explanation:

area = 2 × 80 mm × 40 mm + 2 × 80 mm × 5.5 mm + 2 × 40 mm × 5.5 mm

area = 7720 mm²

Answer:

2,734,500

Step-by-step explanation:

27,345 × 113 - 27,345 × 13 ← factor out 27,345 from each term

= 27,345(113 - 13)

= 27,345 × 100

= 2,734,500

Answer:

236,181+150,486=386,667

Answer:

75

Step-by-step explanation:

Since they sold 75% of the raffle tickets and the total is 100 raffle tickets, you simply need to find 75% of 100. To find x% of a, you simply convert x% to a decimal by dividing by 100 and then multiplying it by a. So the general formula to find x% of a would be: [tex]a*\frac{x}{100}[/tex]. In this case a=100, and x=75. So you have the equation: [tex]100*\frac{75}{100} = \frac{100 * 75}{100}=\frac{75}{1} = 75[/tex]

Answer: 75 tickets

Step-by-step explanation:

- percentages are out of 100, they are a rate, number, or amount in each hundred

- for example, (10/100) x 100 (because it’s out of 100) = 10%
- or it could be (6/40) x 100 (because it’s out of 100) = 15%

- so because they started with 100 tickets, it’s just (75/100) x 100 =75

hope this helps :)

Answer: Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

The last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.

A few fundamental principles apply to density curves:

Following the rules above, we can see from graph B that the curve is above the horizontal axis. That shows that the probabilities are positive which is a necessity. Moreover, the area under the curve must also be 1. That is also satisfied.

Hence, the last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.

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Question 14

As we approaching from the negative side, [tex]|x-3|=3-x[/tex].

So, we have [tex]\lim_{x \to 3^{-}}=\frac{3-x}{x-3}=\frac{-(x-3)}{x-3}=\boxed{-1}[/tex]

and thus the limit exists at x=3.

Question 15

For the top part of the function, [tex](9-9)^{2}=0[/tex]

For the bottom part of the function, [tex]9-9=0[/tex]

As both one-sided limits are equal, L = 0, and thus the limit exists at x=9.

The ratios for the surface area, volume and width respectively are:

Ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

In this exercise, we are given the scale factor for this canoe is 3:14. Thus, the ratio of the surface area of the canoe model to the surface area of the original model would squared as follows:

Ratio of SA = 3²/14²

Ratio of SA = 9/196

Ratio of SA = 9:196.

For the volume, we would take the cube:

Ratio of V = 3³/14³

Ratio of V = 27/2,744

Ratio of V = 27:2,744.

For the width, we have:

Ratio of W = 3/14

Ratio of W = 3:14.

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Answer:

Step-by-step explanation:

y = mx + b is the formula to figure out your question

Now, the equation ( y = 28x + 8)

Already shows the m and b

m = 28

b = 8

Hope this helps! :)

If not ask me in the comments about your question and I’ll answer

Answer:

x>=2 so B

Hope this helps :)