The average monthly cost of basic cable TV was $9.73 in 1985 and has increased by about $1.35 each year since then. Let t be the number of years since 1985.
1. Use function notation to write an equation giving the monthly cost of basic cable TV as a function of t.
f(t)=____t+____
2. Using the function from above what is the average monthly cost of basic cable TV for this year?
3. Using the function from 1, what year was the average monthly cost of basic cable TV $23.23?​

Answers

Answer 1

Answer:

$50.23

Step-by-step explanation:

f(t)=1.35(t)+9.73

First I found out how many years are after 1985 so you would do 2020-1985 which equals 30.

I plug it in for t.

f(t)=1.35(30)+9.73

Then you multiply 1.35 and 30 which would leave us with.

f(t)=40.5+9.73

Add them and you get $50.23


Related Questions

Please help please help

Answers

Answer:

b

Step-by-step explanation:

cause if you divided 5 by 4 you'd get 1.25 then times that by 8 it'll give you 10 thus the answer is b

pleaseeeeeeeeeeeeeeeeeeeeee help me i'm begging you so the questions is what is the multiplicative of 5 and 10-5k

Answers

Answer:

1/5 and -k/5+2

Step-by-step explanation:

inverse of 5= 1/5

swap the variables: y=10−5k becomes k=10−5y

Now, solve the equation k=10−5y

for y

y=−k/5+2

You recently discovered that your job provides a 25% matching towards your retirement.
If you deposit $300 each month into a retirement account with an APR of 8.99%, what
would you type in Excel to find the balance after 30 years?

Answers

Answer:

What is typed in the attached Excel file is =FV(B4,B5,-B3,0,0).

Step-by-step explanation:

Note: See the attached excel file for the calculation of future value of an ordinary annuity.

Since we want to find the balance after 30 years, the function in the Excel is the FV function which is used to calculate the future value (FV) of an ordinary annuity as follows:

=FV(rate,nper,-pmt,0,0) …………………… (1)

rate = Monthly interest rate = APR / 12 = 8.99% / 12 = 0.0899 / 12 = 0.00749166666666667. Note: This is typed in cell B4 in attached excel file.

nper = periods = number of months = 30 years * 12 months = 360. Note: This is typed in cell B5 in attached excel file.

pmt = monthly payment = $300. Note: This is typed in cell B3 in the attached excel file. And also typed as a negative value in cell B7, i.e. as -B3.

pv = present value = 0. Note: This is the first 0 typed in cell B7 in the attached excel file.

type 0 = 0 this is typed to indicate that deposit is made at end of period as a regular or ordinary annuity. This is the second 0 typed in cell B7 in the attached excel file.

Based on the above, the FV function in equation (1) above is converted to the following which is typed in the attached Excel file to find the balance after 30 years:

=FV(B4,B5,-B3,0,0)

The above then gives a future value of $548,080.11 which is  the balance after 30 years.

Which equation represents the line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5?

Answers

Answer:

y = 2x - 13

Step-by-step explanation:

Equation of a line is y = mx + c, m is the gradient and c is the intercept

The line passes through points 4 and -5, x is 4 and y is -5

-5 = 4m + c

When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1

x + 2y = 5

2y = -x + 5

y = (-1/2 * x) + 5

therefore m = -1/2

m1 * m2 = -1

m * -1/2 = -1

-m = -2 , therefore m = 2

-5 = 4 * 2 + c

c = -5 - 8, which is -13

Therefore the equation for the line is

y = 2x - 13

Please help!! Time is almost up and I’m having trouble with this question. Giving 20 points

Answers

It’s the third one for this question

Please help! BRAINLIEST to correct answer!!!

Answers

Answer:

−3x⋅(x+6)⋅(x−8)

Step-by-step explanation:

hp this helps

Evaluate the Expression: 8r - 4w - 9 when r = 7 and w = 4

Answers

Answer:

= 31

Step-by-step explanation:

So first plug in the numbers 8(7) - 4(4) - 16

then solve

56 - 16 - 9 = 31

Answer:

31

Step-by-step explanation:

8r - 4w - 9 when r = 7 and w = 4.

~Substitute

8(7) - 4(4) - 9

~Simplify

56 - 16 - 9

~Subtract

40 - 9

~Subtract

31

Best of Luck!

I NEED HELP WITH THIS MATH PROBLEM!!!

Answers

Answer:

72 degrees

Step-by-step explanation:

4x+6x=180

10x=180 combine like terms

10x/10=180/10

x=18

4(18) = 17

Help please !!!!! Thanks

Answers

Answer:

7) y = -2

8) x = 4

Step-by-step explanation:

Any straight horizontal/vertical line you find will be x= or y=. The vertical lines are always x= because they only touch the x axis. It's the opposite for horizontal lines. For example, on number 7, the line touches -2 on the y axis. That's why it's "y=-2". Same goes for 8. the line only touches 4.

I hope this helped and wasn't confusing!

4. To make te cups of hot chocolate, 4 tablespoons of cocoa mix
must be used. If a snack bar wants to make 36 cups of hot chocolate,
how much mix will they need?

Answers

Answer:

144

Step-by-step explanation:

You will multiply 4 tablespoons by the number of cups, that is how you get your answer.  ; )

Last month, Curtis bought a new mountain bike for $250. In a store advertisement, the mountain bike is on sale for $210. What is the percent of the decrease in the value of the mountain bike?

Answers

Answer:

16%

Step-by-step explanation:

say the percent decrease = x. Then

x/100 x 250 = 210.

x/2 x 5 = 210

x/2 = 210/5

x/2 = 42

x = 42 x 2

x = 84.....

BUT this is not the answer. We need 100-84=16 for the answer.

So the bike dropped 16%. Thank me later :)

If Curtis bought a new mountain bike for $250. In a store advertisement, the mountain bike is on sale for $210. Then 16%  of the decrease in the value of the mountain bike

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity

Given,

Curtis bought a new mountain bike for $250.

the mountain bike is on sale for $210.

We need to find the percent of the decrease in the value of the mountain bike.

Let the  percent decrease be x.

x/100 x 250 = 210.

5x/2= 210

Divide both sides by five

x/2 = 210/5

x by two equal to two ten by 5, we get x by two equal to forty two

x/2 = 42

Apply cross multiplication

x = 42 x 2

x = 84.

We need 100-84=16.

Hence 16  percent of the decrease in the value of the mountain bike

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

please help me i rlly need help

Answers

Answer:

3

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

1. Find the slope of the given line

The formula for finding the slope is:

[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]

Substitute in the values;

[tex]x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8[/tex]

[tex]\frac{8-5}{3-2}[/tex]

simplify;

[tex]\frac{3}{1}[/tex]

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

At a carnival, Tammy bought 9 packs of 17 tickets each. She has used 36 of the tickets so far. How many tickets does she have left?

㏒㏑⊂·_·⊃㏒㏑

Answers

117 tickets
You multiply the packs of tickets times the number of tickets per pack which will tell you how many tickets she has in total, 9*17=153 then subtract how many tickets she used from the total number of tickets. 153-36 then you will your answer

I need HELP, I'm just a dumb kid from Minnesota, I have no clue what to do...The line below has a slope of 2. Both points are on the same line. Find the values of a and b

Answers

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.

Step-by-step explanation:

Geometrically speaking, any line is represented by equation of the form:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

In addition, the slope is defined in terms of distinct known points. That is:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (2)

If we know that [tex](x_{1},y_{1})=(4,b)[/tex], [tex](x_{2}, y_{2}) = (a, 8)[/tex] and [tex]m = 2[/tex], then the slope is:

[tex]\frac{8-b}{a-4} = 2[/tex]

[tex]8-b = 2\cdot (a-4)[/tex]

[tex]8-b = 2\cdot a -8[/tex]

[tex]b = 16-2\cdot a[/tex]

There is more than one option. If we assume that [tex]a = 6[/tex], then [tex]b[/tex] is:

[tex]b = 16-2\cdot (6)[/tex]

[tex]b = 4[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.

Can y'all answer my question: 3d + 45 = 150

Answers

Answer:

d=35

Step-by-step explanation:

each chicken has 2 legs. how many legs are there in a group of 9 chickens? show how you decided

Answers

Answer:

18 legs

Step-by-step explanation:

2 legs 9 chickens.

2*9 which is 18.

Hope this helps ;D

Isidro wants to purchase a used scooter that costs $89.75. The sales tax is found by multiplying the price of the scooter by 0.08. Find the ​total amount​ of money Isidro will pay. Round to the nearest cent.

Answers

Answer:

96.93

Step-by-step explanation:

89,75+

What’s the slope intercept equation

Answers

Answer:

y=mx + b

Step-by-step explanation:

y= y intercept coordinate

m=slope=x coordinate

b = y intercept

1. What is the range? Write your answer like # (Don’t worry that it’s not the less than or equal sign)

Helppppppp

Answers

3y

Step-by-step explanation:

a number subtracted from the product of
four and the number.

Answers

Answer:

x-(4+x)

Step-by-step explanation:

x is the number. and a number subtracted from the product of four and the number is basically saying x-(4+x)

5 people working for 6 hours per day they complete they task task in 16 days. How many days would it take 8 people if they working 4 hours per day at the same rate?

Answers

Answer:

Can complete a work in 12 days working 8 hours a day Q can complete the same work in 8 days working 10 hours a day if both p and q work together working 8 hours a day in how many days?

Step-by-step explanation:

Answer:

6 hours x 5 person sx 16 days = 480 hours to complete the work.

480/ ( 8person * 4hours) = 15days

Thank you and please rate me as brainliest as it will help me to level up

What’s the equation of a line that is perpendicular to -x +2y =4 and passes through the point (-2,1)

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

Given:

Equation of -x +2y =4

Point of (-2,1)

-x + 2y = 4

y = x/2 + 2 or y = 1/2x + 2

Which means the equation's slope is m = 1/2.

The slope of the perpendicular line is negative inverse which is m = -2.

Now we have an equation of y = -2x + a.

Use (-2, 1) to find a:

1 = (-2)(-2) + a

a = -3

y = - 2x - 3

If pand q vary inversely and pis 28 when Q is 29. determine q when p is equal to 14.

Answers

9514 1404 393

Answer:

  q = 58

Step-by-step explanation:

If the variation is inverse, when p is multiplied by 1/2, q will be multiplied by the inverse (reciprocal) of 1/2, which is 2/1 = 2.

When p = (1/2)(28), q = (2)(29) = 59

  q = 58

Complete the ordered pair for 4x - 5y = 23

Answers

Answer:

none of these

Step-by-step explanation:

Use the graph to answer the question.
What is the average rate of change from x = 3 to x
= 11?
0 -8
1
001-
1
8
08

Answers

Answer:

Negative 1/8 is the answer

what is 8 divided by 8 with a multitude of 53 degree angles

Answers

Answer:

1

Step-by-step explanation:

Please help I’m stuck on this question

Answers

Answer:

C. a => c

Step-by-step explanation:

       a                          b                           c                a => b          a => c (not C)

       0                          0                        0                    

       0                           0                        1                    

       0                          1                         0                    

        0                           1                         1                                          

        1                         0                          0                     F                  F

         1                        0                          1                      F                  

         1                        1                           0                                         F

          1                       1                          1

¬a                          b                           c                a => b          ¬a => c (not B)

       1                          0                        0                  F                  F

       1                           0                        1                  F  

       1                          1                         0                                       F

        1                           1                         1                                          

        0                         0                          0                                      

        0                        0                          1                                        

         0                        1                           0                                        

          0                       1                          1

a                          b                           c                a => b          c => a (not D)

       0                          0                        0                                        

       0                           0                        1                                            F

       0                          1                         0                    

        0                           1                         1                                           F

        1                         0                          0                     F                  

         1                        0                          1                      F                  

         1                        1                           0                                        

          1                       1                          1

¬a                          b                           ¬c                a => b          ¬a => ¬c

       1                          0                        1                                          

       1                           0                        0                                         F

       1                          1                         1                                      

        1                           1                         0                                        F

        0                         0                          1                 F                      

        0                        0                          0                 F                      

         0                        1                           1                                        

          0                       1                          0

answer: everything is false lol

Susan, Mariana y Emma cumplen años el mismo día. Al momento de partir la torta a Valentina le tocó 1/6 , a Camila 2/6 y a Emma 2/6 partes de la…

Answers

It would be la torta

Perform the indicated operation.


(4g²-9) ÷ (2g-3)

A. 2g-3

B. 2g+3

C. 2g+3 R 18​

Answers

Answer:

Solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3

Option B is correct.

Step-by-step explanation:

We need to solve [tex](4g^2-9) \div (2g-3)[/tex]

We know that [tex]a^2-b^2=(a-b)(a+b)[/tex]

So, [tex]4g^2-9[/tex] can be written as [tex](2g)^2-(3)^2[/tex]

So, using above formula we will get:

[tex]4g^2-9\\=(2g^2)-(3)^2 \\Using \ formula a^2-b^2 = (a-b)(a+b)\\=(2g-3)(2g+3)[/tex]

So, numerator will become

[tex]\frac{(2g-3)(2g+3)}{(2g-3)} \\Simplifying:\\=2g+3[/tex]

So, solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3

Option B is correct.

HELLLLP ASAP I NEED SOMEONE TO EXPLAIN PLEASE

Answers

Step-by-step explanation:

When it says you need to prove something

you need to place a statement about what you need to prove

and then a reason for why.

In this case

You need to prove that

Side AB is congruent (identical in form) to Side ED

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