The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 24 minutes of calls is $21.64, and the remaining credit after 35 minutes of calls is $20.10. What is the remaining credit after 45 minutes of calls?

Answers

Answer 1

Answer:

The remaining credit after 45 minutes of calls is $18.70

Step-by-step explanation:

Here, we have a linear model to work with

Let us have the coordinates as follows;

(time calling time, credit remaining)

So we have two points as follows;

(24,21.64) and (35,20.10)

The slope will be;

(20.1-21.64)/(35-24) = -1.54/11 = -0.14

So the equation looks like;

y = -0.14x + c

To get the y-intercept, we simply substitute a point

Let us use (35,20.10)

20.10 = -0.14(35) + c

c = 20.10 + 4.9

c = 25

So the full equation is;

y = -0.14x + 25

So for 45 minutes, simply substitute 45 for x

We have this as:

y = -0.14(45) + 25

y = -6.3 + 25 = $18.70


Related Questions

Leyla will roll a number cube 1-4 and flip a coin. The coin can land on heads or tails. If Leyla rolls the number cube once and flips the coin once, which list contains only the outcomes in which the number cube land on a number greater than 3?

Answers

Answer:

[tex]Outcome = \{4H,4T\}[/tex]

Step-by-step explanation:

Given

A roll of cube numbered 1 - 4

A flip of coin

Required

Determine the possible outcomes for a number greater than 3

First, we list the sample space of the coin:

[tex]Sample\ Space = \{1,2,3,4\}[/tex]

Next, we list outcomes greater than 3

[tex]S = \{3\}[/tex]

Next, we list out the sample space (C) of a flip of coin:

[tex]C = \{H,T\}[/tex]

Where

[tex]H = Head\\T = Tail[/tex]

So, the possible outcome for a number greater than 3 is:

[tex]Outcome = \{4\} + \{H,T\}[/tex]

[tex]Outcome = \{4H,4T\}[/tex]

a^5b^3/a^3 = b^11


Help

Answers

Answer:

what are you trying to solve?

you ok need to be like mmm you eabgshdhsjdjidjd

what two numbers add up to be 116.5

Answers

Answer:

58.25

Step-by-step explanation:

116.5 / 2

= 58.25

Hope this helps!!

58.25+58.25

Those are the two numbers that add up to that number (116.5)

Btw there are also MULTIPLE numbers that add up to 116.5, I'm just putting the one that makes the most sense.

(。ŏ﹏ŏ)

Miri

5x10^5+2x10^4+8x10^2

Answers

Answer:

52800

Step-by-step explanation:

Answer:

520800

Step-by-step explanation:

ive done this on.

What equation do you use to find the principle (like interest principle time and rate)

Answers

Answer:

Use this simple interest calculator to find A, the Final Investment Value, using the simple interest formula: A = P(1 + rt) where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.

Step-by-step explanation:

PRINCIPLE= (100* interest)/(rate*time)
Therefore, PRINCIPLE (p)=$2000

solve for both x and y in the following diagram , i’m confused

Answers

Answer:

HII

Step-by-step explanation:

X= 40

a frame for mrs. nunez's class picture has an area of 93.5 square inches. the length of the frame measures 8 1/2 inches. what must be the width of the frame?

Answers

Answer:

Step-by-step explanation:

length times width = area

so you have 8.5w=93.5

divide 8.5 on both sides to get your answer

w= 11

so your width must be 11 inches

2) What is the length of BD and BC in the diagram below?
D(14.14)
C(11.10)
B (5.2)

please help me

Answers

Answer:

BC is 10 unit

BD is 15 units

Step-by-step explanation:

Here, given the end points of the line segments, we want to calculate BD and DC

Mathematically, the distance between two points can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

For BD, we have the following

D = √(14-5)^2 + (14-2)^2

D = √(9)^2 + 12^2

D = √81 + 144

D = √(225)

Distance BD is 15 units

For BC, we have the following

D = √(11-5)^2 + (10-2)^2

D = √(6)^2 + 8^2

D = √100

D = 10

Which expression in scientific notation is equivalent to (6×10^4)(3×10^5)

A 1.8×10^10
B 1.8×10^20
C 9×10^9
D 9×10^20

Answers

Answer: A) 1.8*10^10

Step-by-step explanation:

Multiply the constants together, and multiply the multiples of 10 together.

6*3 = 18

10^4 * 10^5 = 10^9

which gives you 18 * 10^9, but that isn't in scientific notation, because 18 isn't a number between 1 and 10

so you get 18 * 10 ^9

which is equal to 1.8*10^10

Hope this helps!

Answer:

A

Step-by-step explanation:

On a rectangular hyperbola, if one point is (2, 3) and y varies inversely to x, find y when x is 6.

Answers

Answer:

y = 1

Step-by-step explanation:

y is inversely proportion to x means that ,

y ∝ 1/x or ,

[tex]y\ \alpha\ \frac{1}{x}[/tex]

When we remove the proportionality sign we get,

[tex]y=k(\frac{1}{x})\\y=\frac{k}{x} \\[/tex]

now we know the point is (2 , 3) which means it corresponds to (x , y) which furthermore means y=3 when x=2,

so we insert these values and get the value of k.

[tex]y=\frac{k}{x} \\\\3=\frac{k}{2}\\\\6=k\\[/tex]

now the equation becomes,

[tex]y=\frac{6}{x}[/tex]

now we need to find y when x is 6 so just replace x with 6

[tex]y=\frac{6}{x}\\\\y=\frac{6}{6} \\\\y=1[/tex]

so we get the value of y is 1

URGENT PLS HELP ME! *GEOMETRY*

WILL MARK BRAINLIEST

Answers

Answer:

sorry just here for the points :(

Step-by-step explanation:

help me plzzzzzz PLZZZZZZZZ

Answers

Answer:

The answer would be B- 6s+48=258

Step-by-step explanation:

This is because she earns 6 points each time she goes so it would be 6*s, and she already has 48 points so thats where the +48 comes from

:)

Answer:

6s + 48 = 258

Step-by-step explanation:

6 points = every time shoppings = number of times Anita will have to shop6s = remaining points needed48 points = points earned so far258 = total needed pointsPut them together: 6s + 48 = 258

I hope this helps!

What is the common ratio between successive terms in the sequence 2,-4,-16,32,-64 .....

Answers

The answer is —2
Each number is multiplied by —2 to get the following number in the pattern

Hope this helps and good luck you can do thissss :)

Solve for z
−p⋅(51+z)=dz+84
z= (anwser)

Answers

Answer:

z=(84-p(51+z))/d

Step-by-step explanation:

An organized collection of best works is called a ________.

Sketch pad

Gateway notebook

Journal

Portfolio

Answers

The last choice, portfolio.

Find the slope of the line that contains these ordered pairs. (10, 8) and (-5, 8)

Answers

Answer:

0/15 = 0

Step-by-step explanation:

Use the formula: y2-y1 over x2-x1.

Hope this helps! :-)

In the number 11.278, the 7 is located in the _____ place. tenths thousandths hundredths ones
PLEASE HURRY
BRAiNLIST

Answers

It is located in the hundredths place

How many of you guys are wearing "Into The Night" by Bath & Body Works right now?​

Answers

not me in wearing toasted coconut snowball
10/10

Answer:

I am *oop*

Step-by-step explanation:

the shapes below are mathematically simillar ​

Answers

Answer:

6

Step-by-step explanation:

5(3m+n)?
What’s the answer? and please give me a step by step explanation I wanna understand it for the upcoming test!

Answers

Answer: 15m + 5n

Step-by-step explanation:

so, first off, we take the number outside of the parentheses and multiply it by everything that's inside of the parentheses.

(5)3m + 5(n)

then, we just multiply all of those together.

15m + 5n

Kevin has five less than twice the number of baseball caps Steph has. If Kevin has 13 baseball caps, how many baseball caps does Steph have?

Answers

Answer:

21

Step-by-step explanation:

13x2=26-5=21 so thats how I got the answer

In Mobius math
24/4x(2+7)

Answers

Answer:

x2=24−4x

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

24÷4 = 6

2+7 = 9 then multiply both together then it gives 54


What are the zeros of this function? HELP

Answers

The zeros of this function is when y = 0.
(x, 0) and (x,0)
Looking on the graph
It would be (3,0) and (6,0)
The solution is x = 3, x = 6

Answer:

answer is B

Step-by-step explanation:

(11y + 19) °
8x °
96 °

Answers

Answer:

lol 96

Step-by-step explanation:

Can someone check if I did this right

Answers

yea this looks correct :)

Isaiah bought a total of 22 pieces of candy. The tootsie rolls cost 3 cents each and
the jolly ranchers cost 5 cents each. If Isaiah spent a total of 90 cents, how many
JOLLY RANCHERS were purchased?
A) 11
B)8
C) 10
O 12
07

Answers

i think the anwser should be 12

You have five times as many quarters as nickels and the total of money is
$9.10. How many quarters and nickels do you have?

Answers

A lot who carries nickels

Plsssss helpppp meeeee!!!

Answers

Your answer to the question is b I’m pretty sure. I hope it helps:)!

Austin correctly answered 80% of the questions on the geography quiz. Liz answered 42 of the 50 questions correctly. compare their scores

Answers

Answer:

Liz got a higher score than Austin.

Step-by-step explanation:

Since 42 divided by 50 is 82, as a percentage is then 82%. Austin has a 80% which most likely means, if on the same quiz, that he got a 40 out of 50.

What is the mistake PLEASE HELP
3-(-2) -5
1 - 5
-4

Answers

Answer:

your answer would be 0

Step-by-step explanation:

3-(-2)-5

3+2-5

5-5

0

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