Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points)

Number of years 1 2 3
Option 1 (amount in dollars) 1100,1210,1331
Option 2 (amount in dollars) 1100 ,1200,1300

9514 1404 393

Explanation:

Here are the reasons:

Answer:

Pythagorean Theorum

Step-by-step explanation:

a^2*b^2= c^2

Answer:

Lines e & f are parallel to eachother and lines g & h are parallel to eachother

Step-by-step explanation:

Parallel lines never intersect.

Answer:

$32

Step-by-step explanation:

Since the question says that all the apples were sold for a total of $160, this means that you have to add the additional basket of the friend's to Olivia's. Since Olivia has 4 baskets of apples and her friend has 1, 4+1=5. Since you're trying to find the unit price for 1 basket, you take the total of $160 and divide it by 5 to find how much each basket of apples costed. Since 160/5 is 32, $32 is your answer.

Answer:

The posters cost $52.07.

Step-by-step explanation:

First, you have to calculate the cost of the 20 posters by multiplying the price per poster for the quantity:

$2.89*20=$57.8

Then, you have to calculate the 15% discount by multiplying the cost for 15% and subtracting that amount from the cost:

$57.8*15%=$8.67

$57.8-$8.67=$49.13

Finally, you have to calculate the 6% of $49.13 and add the result to that amount:

$49.13*6%=$2.94

$49.13+$2.94=$52.07

According to this, the answer is that the posters cost $52.07.

Answer:B

Explanation Samuel earn per hour = 5 hrs

Commission = 65%

Samuel total earning for a day = 6 hrs

Now,

5(65)+6y

Answer:

Step-by-step explanation:

From the figure attached,

ΔDEF is the image triangle formed by the sequence of transformations of ΔABC.

Step -1

ΔABC is reflected across line BC to get the inverted form of ΔA'B'C' (As shown in the image attached)

Step -2

Further ΔA'B'C' is translated by 4 units to the right to get the image ΔA"B"C".

Step - 3

Further ΔA"B"C" is translated 1 unit down to get the image ΔDEF.

Answer:

C.(2,1,0)

Step-by-step explanation:

on edg

The solution to the following system is [tex](2,1,0)[/tex].

Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.

We have,

[tex]3x+3y+6z=9[/tex]    [tex](i)[/tex]

[tex]x+3y+2z=5[/tex]    [tex](ii)[/tex]

[tex]3x+12y+12z=18[/tex]  [tex](iii)[/tex]

To find the solution to the above give algebraic equations,

We have to find values of [tex]x,y,z[/tex].

So,

We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],

[tex]3x+3y+6(0)=9[/tex]

[tex]3x+3y=9[/tex]    [tex](iv)[/tex]

Now,

We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],

[tex]x+3y+2(0)=5[/tex]

[tex]x+3y=5[/tex]  

[tex]x=5-3y[/tex]    [tex](v)[/tex]

Using equation [tex](iv)[/tex] & [tex](v)[/tex],

We get,

[tex]3(5-3y) +3y=9[/tex]

[tex]15-9y+3y=9[/tex]

[tex]-6y=-6[/tex]

[tex]y=1[/tex],

Now we have value of  [tex]y=1[/tex], putting this value in equation  [tex](v)[/tex],

[tex]x=5-3(1)[/tex]

[tex]x=2[/tex],

Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.

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Answer:

(0, 4)

x = 0

y = 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

12x - 5y = -20

y = x + 4

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

Quadratic polynomial can be factored using the transformation ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

), where x  

1

​  

 and x  

2

​  

 are the solutions of the quadratic equation ax  

2

+bx+c=0.

−x  

2

−3x+5=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

​  

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=  

2(−1)

−(−3)±  

(−3)  

2

−4(−1)×5

​  

​  

Square −3.

x=  

2(−1)

−(−3)±  

9−4(−1)×5

​  

​  

Multiply −4 times −1.

x=  

2(−1)

−(−3)±  

9+4×5

​  

​  

Multiply 4 times 5.

x=  

2(−1)

−(−3)±  

9+20

​  

​  

Add 9 to 20.

x=  

2(−1)

−(−3)±  

29

​  

​  

The opposite of −3 is 3.

x=  

2(−1)

3±  

29

​  

​  

Multiply 2 times −1.

x=  

−2

3±  

29

​  

​  

Now solve the equation x=  

−2

3±  

29

​  

​  

 when ± is plus. Add 3 to  

29

​  

.

x=  

−2

29

​  

+3

​  

Divide 3+  

29

​  

 by −2.

x=  

2

−  

29

​  

−3

​  

Now solve the equation x=  

−2

3±  

29

​  

​  

 when ± is minus. Subtract  

29

​  

 from 3.

x=  

−2

3−  

29

​  

​  

Divide 3−  

29

​  

 by −2.

x=  

2

29

​  

−3

​  

Factor the original expression using ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

). Substitute  

2

−3−  

29

​  

​  

 for x  

1

​  

 and  

2

−3+  

29

​  

​  

 for x  

2

​  

.

−x  

2

−3x+5=−(x−  

2

−  

29

​  

−3

​  

)(x−  

2

29

​  

−3

​  

)

EVALUATE

5−3x−x  

2Quadratic polynomial can be factored using the transformation ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

), where x  

1

​  

 and x  

2

​  

 are the solutions of the quadratic equation ax  

2

+bx+c=0.

−x  

2

−3x+5=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

​  

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=  

2(−1)

−(−3)±  

(−3)  

2

−4(−1)×5

​  

​  

Square −3.

x=  

2(−1)

−(−3)±  

9−4(−1)×5

​  

​  

Multiply −4 times −1.

x=  

2(−1)

−(−3)±  

9+4×5

​  

​  

Multiply 4 times 5.

x=  

2(−1)

−(−3)±  

9+20

​  

​  

Add 9 to 20.

x=  

2(−1)

−(−3)±  

29

​  

​  

The opposite of −3 is 3.

x=  

2(−1)

3±  

29

​  

​  

Multiply 2 times −1.

x=  

−2

3±  

29

​  

​  

Now solve the equation x=  

−2

3±  

29

​  

​  

 when ± is plus. Add 3 to  

29

​  

.

x=  

−2

29

​  

+3

​  

Divide 3+  

29

​  

 by −2.

x=  

2

−  

29

​  

−3

​  

Now solve the equation x=  

−2

3±  

29

​  

​  

 when ± is minus. Subtract  

29

​  

 from 3.

x=  

−2

3−  

29

​  

​  

Divide 3−  

29

​  

 by −2.

x=  

2

29

​  

−3

​  

Factor the original expression using ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

). Substitute  

2

−3−  

29

​  

​  

 for x  

1

​  

 and  

2

−3+  

29

​  

​  

 for x  

2

​  

.

−x  

2

−3x+5=−(x−  

2

−  

29

​  

−3

​  

)(x−  

2

29

​  

−3

​  

)

EVALUATE

5−3x−x  

2

Step-by-step explanation:

Answer:

C. Square root of x = -5

Step-by-step explanation:

Answer: c [tex]\sqrt{x} =-5[/tex]

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

271 boxes

Step-by-step explanation:

Answer:

3 crates are required for 3258 cookies

Step-by-step explanation:

since the boxes can have 12 cookies each

number of boxes = number of cookies / number of cookies per box

number of boxes = 3,258 cookies / 12 cookies/box = 271.5 boxes = 272 boxes (271 completely filled and one halfway filled)

since each crate can hold 100 boxes

number of crates = number of boxes / number of boxes per crate

number of crates = 272 boxes/ 100 boxes/crate = 2,72 crates = 3 crates (2 completely filled and one 72% filled)

therefore the number of required crates for 3258 cookies is 3

Step-by-step explanation:hope i helped you

Answer:

A is a function

Step-by-step explanation:

Hope the image helps.

Answer:

21

Step-by-step explanation:

[tex]f(x)=3x+6 \\ \\ plug \: x = 5 \\ \\ f(5)=3(5)+6 \\ \\ f(5)=15+6 \\ \\ f(5)=21[/tex]

Answer:

I am sorry but is the last time I can help you!

I wish you all the best!

Answer:

[tex]m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 0)

Point (-3, 4)

Step 2: Find slope m

Answer: i see you got the answer already, but I was wondering if you could give me brainliest to help me level up. I would really appreciate it.

Step-by-step explanation:

Step-by-step explanation:

i got about 0.62

I'm so sorry if it isn't right tho

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

me too

Answer:

1 right triangle and isosceles

2 acute triangle and scalene

3 equiangular triangle and equilateral

4 acute triangle and isosceles

5 obtuse triangle and isosceles

6 obtuse and scalene

7 equiangular triangle and equilateral

8 right triangle and isosceles

I'm not sure about the bottom part since I can't really see sorry.

Step-by-step explanation:

acute - when a angle is less than 90 degrees

Obtuse - when an angle is more than 90 degrees

Right - when angle is at 90 degrees also it will have a square in the triangle to let you know that it 90 degrees/right angle.

Scalene triangle - when side have an uneven length.

isosceles triangle - when two side are equals.

equilateral - when all sides are equal.

equiangular -  have all equal angles

Answer:

[tex]y = -\frac{10}{3}x -23[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-9,7)[/tex]

[tex](x_2,y_2) = (-6,-3)[/tex]

Required

Determine the line equation

We start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-9,7)[/tex]

[tex](x_2,y_2) = (-6,-3)[/tex]

So, we have:

[tex]m = \frac{-3- 7}{-6 - (-9)}[/tex]

[tex]m = \frac{-3- 7}{-6 +9}[/tex]

[tex]m = \frac{-10}{3}[/tex]

[tex]m = -\frac{10}{3}[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex] ---- Point slope form of an equation

Where:

[tex]m = -\frac{10}{3}[/tex]

[tex](x_1,y_1) = (-9,7)[/tex]

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

[tex]y - 7 = -\frac{10}{3}(x - (-9))[/tex]

[tex]y - 7 = -\frac{10}{3}(x +9)[/tex]

Open bracket:

[tex]y - 7 = -\frac{10}{3}x -\frac{10}{3}*9[/tex]

[tex]y - 7 = -\frac{10}{3}x -10*3[/tex]

[tex]y - 7 = -\frac{10}{3}x -30[/tex]

Collect Like Terms

[tex]y = -\frac{10}{3}x -30 + 7[/tex]

[tex]y = -\frac{10}{3}x -23[/tex]

Hence:

The equation is: [tex]y = -\frac{10}{3}x -23[/tex]

Answer:

y=-10/3x-23

Step-by-step explanation:

Answer:

25 cm

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

c^2 = 625

c = 25

Answer: 25 cm

Answer:

c = 17 chapters left

d= im going to say 6

Answer:

C.

29 + 12 = 41

D.

2 : 3

(add 7)

? : 10

9 : 10

Step-by-step explanation:

Your answer for C. is 41 chapters.

Your answer for D. is 9 cartons of milk in 10 seconds.

9514 1404 393

Answer:

Step-by-step explanation:

You can read f(0) = 3/2 from the table. The slope is 1/2, so f(4) will be 1 more than f(2): f(4) = 7/2.