5. Consider the contexts the follow.
a. Create a table for each context.
b. Graph the data in each table.
c. Determine a recursive rule then an explicit equation that fits each context.

Context D: The Rowing Team is selling cookies for $1 each. A friend is selling the cookies and allows you to pay later for cookies you buy beyond the $3 you have in your pocket. How much will you pay your friend if you buy C cookies? (Negative dollars are dollars you pay your friend after the sale).

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

Complete the square for x and for y.

complete for x

x^2 + 2x + (2/2)^2

(x + 1)^2

Complete square for y

y^2 + 10y + (10/2)^2

(y + 5)^2

Now put these two together

(x + 1)^2 + (y + 5)^2 = 15 + (10/2)^2 + (2/2)^2

(x + 1)^2 + (y + 5)^2 = 15 + 25 + 1

(x + 1)^2 + (y + 5)^2 = 41

Answer

Center: (-1,-5)

radius: (sqrt(41) = 6.403

Answer:

How much of a head start in miles did Mr. Smith have?

+d%5B1%5D+=+60%2A4+

+d%5B1%5D+=+240+ mi

------------------

Start a stopwatch when Mrs. Smith leaves. Let +t+

= the time on the stopwatch in hrs when Mrs. Smith

catches up with Mr. Smith.

Let +d+ = the distance in miles that Mrs. Smith

travels until she overtakes Mr. Smith

------------------

Mr. Smith's equation:

(1) +d+-+240+=+60t+

Mrs. Smith's equation:

(2) +d+=+80t+

-------------------

Substitute (2) into (1)

(1) +80t+-+240+=+60t+

(1) +20t+=+240+

(1) +t+=+12+

Mrs. Smith overtakes Mr. Smith in 12 hrs

-------------------

check:

(2) +d+=+80t+

(2) +d+=+80%2A12+

(2) +d+=+960+ mi

and

(1) +d+-+240+=+60t+

(1) +d+-+240+=+60%2A12+

(1) +d+=+240+%2B+720+

(1) +d+=+960+ mi

9514 1404 393

Answer:

  $6903.47

Step-by-step explanation:

The principal due when there are 6 payments left can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where principal P is earning annual interest r compounded n times per year for t years. A is the payment in each of the n time periods.

Using the given information, you have ...

  $1220 = P(0.034/2)/(1 -(1 +0.034/2)^(-2(3))) = 0.1767226P

Then the principal P due at the time of interest is ...

  P = $1220/0.1757226 ≈ $6903.47

The balance 3 years from the end of the loan is $6903.47.

9514 1404 393

Answer:

  288 cm²

Step-by-step explanation:

The figure decomposes into two rectangles and a triangle.

It is helpful to realize the overall horizontal length of the figure is 16+10+6 = 32 cm. That means the triangle at lower left has a width of 32-13 = 19 cm. Of course the bottom rectangle has a width of 10+6 = 16 cm.

The upper rectangle has an area of ...

  A = LW = (6 cm)(4 cm) = 24 cm²

The lower rectangle has an area of ...

  A = LW = (16 cm)(7 cm) = 112 cm²

The triangle has an area of ...

  A = 1/2bh = 1/2(19 cm)(16 cm) = 152 cm²

__

Then the total area of the figure is ...

  24 cm² +112 cm² +152 cm² = 288 cm²

Answer:

276

Step-by-step explanation:

that's the correct answer

Answer:<3

Step-by-step explanation: 280 is right on acellus

Answer:

B. 21,704 cubic feet

Step-by-step explanation:

Hope this helped

Answer:

v= -4i-j

Step-by-step explanation:

we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.

9514 1404 393

Answer:

  28.1°

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(H) = 8/17

  H = arcsin(8/17)

  H ≈ 28.1°

Answer:

x is 600 and y is 128:

so the answer is 472!

Answer:

x10

y35

or

xxxxxxxxxx yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

Answer:

the numbers who's difference is 16 and the product is 720 is

36 &20

Explanation:

to finding numbers you have to express the equation in a quadratic equation then Factor it.

since the two numbers have a difference of 16 you can say that the first number is x and the second number is x -16 then their product is 720.

x(x-16)=720

x²-16x=720

x²-16x-720=0

(x-36)(x+20)

there are two possible value of x but since you are looking for the positive value of x, choose the positive value of x the first number is 20.

To find the second number

x-16=20

x=20+16

x=36

the second number is 36

Now to check

36-20=16

20*36=720

Answer:

3x4

Step-by-step explanation:

You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12

Answer:

4in²

Step-by-step explanation:

area of rectangle = l x b = 4 x 1 = 4in²

Answer:

4 in²

Step-by-step explanation:

4x1 is 4 so the answer is 4

Answer:

This triangle is an isosceles acute

Step-by-step explanation:

First lets define each classification

scalene - no equal sides

isosceles - two equal sides

equilateral - all equal sides

acute - all angles have a measure of less than 90 degrees

right - has a right angle (90 degree angle)

obtuse - has an angle that has a measure of more than 90 degrees

Now lets classify

The triangle has two equal sides (indicated by the little line on the top and bottom side) therefore it is an isosceles triangle

We know its an acute triangle because the one angle given is not a right angle nor a obtuse angle meaning that the other two angles are going to have  a measure of less than 90 degrees

So we can conclude that this is an isosceles acute triangle

Answer:

50

Step-by-step explanation:

Answer:

4 ndays

Step-by-step explanation:

Answer:

74.7

Step-by-step explanation:

Answer:

x= hotdogs

y=tacos

Step-by-step explanation:

(3.50)x+ 3x + 4y= 63

Answer:

x = 18

Step-by-step explanation:

Sum of exterior angles of any polygon = 360

2x + 2x + 3x + 4x + 4x + 5x = 360

20x = 360    {Divide both sides by 20}

x = 360/20

x = 18

Answer: I dont know im sorry

Step-by-step explanation:

Answer:

330 the volume of building

Answer: x= -2/7, y = 10/7

Step-by-step explanation: 1) 2x +6y = 8 and 2) 3x + 2y = 2

Multiply equation 2) by -3 and you get -9x -6y = -6.

Add together and sum is -7x = 2 and x= -2/7 then insert to eat, 2) value of x:

3·(-2/7) +2y = 2 and 2y = 2+ 6/7 2y = 20/7 and y = 10/7

Answer:

2.5 years

Step-by-step explanation:

I = 200     T=200/4000 0.2  = 2.5 years

P= 4000

R = 2%  0.2

T = ?  

Answer:

2. d) (x-1)²+(y+5)²=128

3.c) (x-3)²+(y+2)²=841

Step-by-step explanation:

Answer:

because it helps you feel happieness and your not feeling it

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

7!/ 4! 3! = (7 ·6 ·5) ÷ (3 · 2) = 7x5 = 35

Answer:

x+3

Step-by-step explanation:

[tex]\huge{\mathbb{\tt {ANSWER↓}}}[/tex]

Factor the numerator and denominator and cancel the common factors.

[tex]\color{green}{\tt {x+3}}[/tex]

[tex]\huge{{\tt { STEPS↓}}}[/tex]

[tex] {x}^{2} + 9x \: + 18 \\ x + 6[/tex]

[tex]\color{red}{\tt { FACTOR \: x² + 9x +18: ( x+3)(x+6)}}[/tex]

[tex]\color{purple}{\tt { (x+3)(x+6)}}[/tex]

[tex]\color{purple}{\tt { x+6}}[/tex]

[tex]\color{black}{\tt{Cancel \: the \: common \: factor:}} \: \color{blue}{\tt( x+6)}[/tex]

[tex]\color{green}{\tt{ x+3}}[/tex]

#CarryOnLearning

#LetsEnjoyTheSummer

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]

The construction cost now is:

[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]

Now, to determine the minimum cost:

[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]

[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]

Now;

[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]

[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]

Answer:

Lin's needs 12 sheets to make all cupcakes.

Step-by-step explanation:

To find the answer we will divide 192 by 16, and we get 12.  Therefore, 12 is our answer.

Answer: I think the answer is 12 I'm sorry if its wrong