Sammy has an annuity that pays him $9600 at the beginning of each year. Assume the economy will grow at a rate of 3.1% annually. What is
the value of the annuity if he received it now instead of over a period of 10 years? (2 points)
a $78,044.65
ь $80,651.16
c $81,075.98
d $83,999.29

Answer:

Step-by-step explanation:

Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144

The height of the body on the ground occurs at when f(x) = 0

0 =-16x^2+144

16x^2 = 144

x^2 = 144/16

x^2 = 9

x = 3

The ball reached the ground after 3 secs

The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;

Domain =(-\infty, infty)

The domain of the function is required.

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The function is

[tex]f(x)=-16x^2+144[/tex]

The y intercept of the function is

[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]

[tex](0,144)[/tex]

The y intercept is the maximum height here.

The x intercepts are the points where the object is on the ground.

They are

[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]

[tex](3,0),(-3,0)[/tex]

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The graph of the figure is attached.

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Answer:

Step-by-step explanation:

Reflection over x-axis results in coordinate change as follows:

Given points:

The image of AB will have coordinates:

Correct choice is 1.

Answer:

(-3,2) and (-1,2)

Step-by-step explanation: I took the test already and got this correct crazy to find  this question 2 days later.

Answer:

A) 12.5 per hour. Slope: y = 12.5x

B)500x or Next - Now = 500x = 1,360

C) y = 12.5 + 360

Step-by-step explanation:

A) 360 in account, 40 hour then she has 860.

Find the unit amount so to find how much she gets per hour you have to find the unit amount.

Since she had a total of 860 but she already had 360, subtract 860 - 360 = 500. Now divide by 40: 500/40 = 12.5. (that's how much she gets per hour.)

B) Next , Now

Next she will make 500 every 40 hours so after that she'll have 1.360 in her account.

Equation: Next,Now

So it's the rate of change which will be 500 per 40 hours. so the rate of change is 500x

C) equation:

Rate of change 12.5 per hour

Y- intercept is 360 since that's what she had in her account so,

y = 12.5x + 360

Answer:

f(x)=xf(x)=x ,  g(x)=2xg(x)=2x

f(x)=5f(x)=5 ,  g(x)=xg(x)=x

Step-by-step explanation:

not sure but still,

Answer:

34.56

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

y = -2

Step-by-step explanation:

First step: simplify the equation. 12y + 72 = 48

Second step: Combine like terms: 12y = -24

Final step: Use division property of equality: y = -2

ANSWER: y = -2

Hope this helped,

Philip

Brainliest always appreciated! <3

Answer:

2x^2 - 2x + 5

Step-by-step explanation:

so the south side is the bottom of the rectangle

you just add all the expressions given on the bottom which are

5x +2 , x^2 - 9 , x^2 - 7x + 12

so add 5x +2 + x^2 - 9 + x^2 - 7x + 12

add like terms and you get

2x^2 - 2x + 5

I hope that makes sense :)

Answer:

A = 25 ft²

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Define

x = 5 ft

Step 2: Find Area

Answer:

125.7cm²

Step-by-step explanation:

Given parameters:

Slant height, L = 6cm

Base radius  = 4cm

Unknown:

Total surface area = ?

Solution:

To find the total surface area, we use the expression;

      Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL  

Now insert the parameters and solve

   Surface area = [tex]\pi[/tex]r(r + L )

    Surface area  =  [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10  = 125.7cm²

Answer:

x = 25

Step-by-step explanation:

15.2 * 0.25 - 48.51 ÷ 14.7 = 76/5 * 1/4 - 3.3 = 3.8 - 3.3 = 0.5

(13/44 - 2/11 - 5/66 ÷ 2 1/2) * 1 1/5 = (13/44 - 8/44 - 5/66 * 2/5) * 6/5 =           (15/132 - 4/132) * 6/5 = 11/132 * 6/5 = 1/12 * 6/5 = 1/10

3.2 + 0.8 * (5 1/2 - 3.25) = 3.2 + 4/5 * (22/4 - 13/4) = 3.2 + 9/5 = 3.2 + 2.8 = 5

So after doing all this simplifying and stuff we get 0.5/x = 0.1/5. Using the butterfly method the result is 0.1x = 2.5, multiply both sides by 10 and you get x = 25!! Yayy lol

Answer: d = 1/4

Step-by-step explanation:

−16(d+1)=−20

Step 1: Simplify both sides of the equation.

−16(d+1)=−20

(−16)(d)+(−16)(1)=−20(Distribute)

−16d+−16=−20

−16d−16=−20

Step 2: Add 16 to both sides.

−16d−16+16=−20+16

−16d=−4

Step 3: Divide both sides by -16.

-16d = -4

-16     -16

d = 1/4

Hope this helps :)

Answer:

d=1/4 or .25

Step-by-step explanation:

-16(d+1)=-20

-16d-16=-20

-16d=-20+16

-16d/-16=-4/-16

d= 1/4 or .25

The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost per cake = £54

15% of £54 = 0.15 x 54 = £8.1

Selling price = £54 + £8.1 = £62.1

Hence "The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1".

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Answer:

$20,232.75

Step-by-step explanation:

I hope it helped

Answer:

6x > 5x + 1

Step-by-step explanation:

6 times a number is 6x

is greater than is 6x >

than five time the number is 5x

plus one is 5x +1

all together it is 6x > 5x + 1

Answer: just to give person above brainliest.

Step-by-step explanation:

Answer:

25x

Step-by-step explanation:

Answer:it’s (2,5)

Step-by-step explanation:

it is proportional

cause it is trust me

Answer: it's proportional

Step-by-step explanation:

Answer:

D: 101, 135, 131, 99, 138, 136, 140

Step-by-step explanation:

edg2020 (do not get this confused with the question: "which set contains no outliers"

D

I got it right on the test

The point that is scored by Mabel will be 52 points.

Based on the information given, since Phoebe scored 10 points less on her math test than Nancy and scored 23 points, then Nancy will have:

= 10 + 23 = 33 points

Since Mabel scored 19 points more on her math test than Nancy, then, the point that is scored by Mabel will be:

= 33 + 19

= 52 points

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Answer:

Step-by-step explanation:

Given the relationship of the dogs weight ang its age modeled by the equation;

w = 6m+4

m represents its age in months, and;

w represents its weight in pounds

Given

w = 58pounds

Required

number of months m before the dog weigh 58pounds;

Substitute w = 58 into the function and get m as shown;

w = 6m + 4

58 = 6m + 4

subtract 4 from both sides

58-4 = 6m+4-4

54 = 6m

divide both sides by 6

54/6 = 6m/6

9 = m

m = 9

Hence it will take 9months before the dog will weigh 58 pounds

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Let : A = ( - 2 , - 6 ) & B = ( 3 , 9 )

[tex]d = distance \: \: between \: \: points \\ [/tex]

[tex]d = \sqrt{ ( \: {y(B) - y(A) } \: )^{2} + ( \: { x(B) - x(A) } \: )^{2} } \\ [/tex]

[tex]d = \sqrt{ ( \: {9 - ( - 6)} \: )^{2} + ( \: {3 - ( - 2)} \: )^{2} } \\ [/tex]

[tex]d = \sqrt{ ( \: {9 + 6} \: )^{2} + ( \: {3 + 2} \: )^{2} } \\ [/tex]

[tex]d = \sqrt{ {15}^{2} + {5}^{2} } [/tex]

[tex]d = \sqrt{225 + 25} [/tex]

[tex]d = \sqrt{250} [/tex]

[tex]d = \sqrt{25 \times 10} [/tex]

[tex]d = \sqrt{ {5}^{2} \times 10 } [/tex]

[tex]d = 5 \sqrt{10} [/tex]

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Thus Steve draws a line which has a length of 5√10 .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Question: Where is the y2? Please be more specific!

Answer:

56°

Step-by-step explanation:

The interior angles of a triangle add up to 180.

You would first set up the following problem:

91 + 33 + x = 180

You would now subtract 91 from both sides.

33 + x = 89

You would now subtract 33 from both sides.

x = 56

The value of x is 56 degrees.

Angle of triangle D is 56 degrees.

"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."

We have

Angle sum property of a triangle = [tex]180^{0}[/tex]

<B + <C + <D =  [tex]180^{0}[/tex]

⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]

⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]

⇒ [tex]x^{0}=56^{0}[/tex]

The value of x is 56 degrees.

Hence, angle of triangle D is 56 degrees.

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Answer:

23

Step-by-step explanation:

Answer:

[tex]\frac{x^{2} }{576y^4}[/tex]

Step-by-step explanation:

Anything to the power of 0 becomes the number 1

[tex]-3x^3\\2(36x^2y^2 )\\\\-x\\2*12y^2\\\\-x^2\\24^2y^2*^2\\\\x^2\\576y^4[/tex]

Answer:

B

Step-by-step explanation:

Equation of A is

y = 0.0105x

Equation of B is

y = 0.01

B is smaller than A