The credit remaining on a phone card (in dollars) is a liner function of the total calling time made with the card (in minutes) the remaining credit after 30 minutes of calls is $15.20 of the remaining credit after 46 minutes of the call is $12.64 what is the remaining credit after 54 minutes of calls?

Answers

Answer 1

Answer:

$11.36 (11 dollars and 36 cents).

Step-by-step explanation:

This scenario can be written as the linear equation: y = -$0.16x + $20 Where y is the remaining credit, and x is the minutes spend calling.

To find the remaining credit after 54 minutes,

substitute 54 for x and simplify.

So y = -$0.16(54) + $19.60 = -$8.64 + $20.00 =

$20.00 - $8.64 = $11.36.

_________________________

If you want to solve this problem from scratch, first find the constant rate of money by subtracting 30 minutes (time) over $15.20(total) by 46 minutes over $12.64(total).

Just subtract across, and simplify to get the rate, and then apply that rate between the missing total of 54 minutes and the total of $12.64 dollars for 46 minutes. This is because rate = change quantity/change in time. If that rate is constant as it is in this relationship where the quantity is the amount of anything that is dependent on something, in this case it's money.

So subtract (find the difference) to find the pattern of change between these values in respect to time.

15.20/ 30 - 12.64 / 46 = 2.56 / -16 = 1.28 / -8 = 0.64 / -4 = 0.32 / -2 = 0.16 / -1 = -0.16 [This is the rate decrease in money every minute of a call being made or decrease in remaining credit every minute ].

Now since we know the rate, we can solve the missing factor of the problem by multiplying the rate by the change in time to get the change in quantity.

So : 54 - 46 = 8. 8 × 0.16 = 1.28 [This is the change in quantity from 46 to 54 minutes of calling ].

Therefore, $12.64 [remaining credit from 46 minutes ] - $1.28 [the change of credit from 46 minutes to 54] = $11.36 [remaining credit from 54 minutes].

Also in general, Rate = dependent variable / independent variable.


Related Questions

What is the approximate length, in centimeters, of the diagonal from point A to point B in the right rectangular prism shown? Round your answer to the nearest whole centimeter.

A.8
B.9
C.10
D.11

Answers

Answer:

11

Step-by-step explanation:

First, find the diagonal along the base of the prism. Let B be the diagonal along the base.

8^(2)+6^(2)=b^(2)

64+36=b^(2)

100=b^(2)

10=b

Then let d be the diagonal from point A to point B

b^(2)+5^(2)=d^(2)

10^(2)+5^(2)=d^(2)

100+25=d^(2)

125=d^(2)

\sqrt(125)=d

11=d

Next time make sure to include a picture! This way we know were answering the correct problem :)

Which one of the following is NOT equal to the others?


30%

0.3

3/10

0.03

Answers

Answer:

.03

Step-by-step explanation:

.03 would be 3% where all the others are 30% hope this helped!

Answer:

0.03

Step-by-step explanation:

30%, 3/10, and 0.3 are all equal to 30. 0.03 is equal to 3.

Solve for the missing side.
4)
12 mi
X
15 mi

Answers

The equation is a^2 + b^2 = c^2 and the long slanted side is always c so
12 + b^2 = 15
So using the equation a^2 + b^2 = c^2 and the transverse property the answer is 1.732

Please help me out!!!!! I really need it!​

Answers

Answer:

[tex]\frac{1}{2^5}[/tex]

Step-by-step explanation:

The flu is starting to hit Weston. Currently, there are 380 people infected, and that number is growing at a rate of 15% per day. Overall, how many people will have gotten the flu in 7 days? If necessary, round your answer to the nearest whole number.

Answers

Answer:

1011 or 1010, depending on how you round. (I got 1011)

Explanation:

we need to calculate 15% of the non-constant x seven times.

x starts as 380.

15%=0.15

15% of x seven times:

380*0.15=57,

380+57=437;

437*0.15= 65.55,

437+65.55= 502.55;

502.55*0.15=75.38,

502.55+75.38=577.93;

577.93*0.15=86.69,

577.93+86.69=664.62;

664.62*0.15=99.69,

664.62+99.69=764.31;

764.31*0.15=114.65,

764.31+114.65=878.96;

878.96*0.15=131.84

878.96+131.84= 1011

Solve for x to the nearest degree.

A 72
B 71
C 18
D 19

Answers

C18 dije djdjrjjrr disidiré djejurjrr eneiekjeje ewkkeksjeie amáñenme me
The answers 19 for this equation

Natasha has $1000 to open a checking account. She can maintain a monthly balance of $600. She also has a savings account at the same bank. Her employer offers direct deposit and she plans to use online bill paying. She writes about eight checks per month. She currently uses the ATM machines at several different banks. Natasha sometimes overdraws her account. Bank Account Terms and Conditions Bank Account terms and conditions. Bank A is best for Natasha. Natasha wants an account with the lowest fees. Which checking account would be best for Natasha? Account A Account B Account C Account D

Answers

A type of bank account that enables the users to deposit and withdraw money easily for routine transactions is called a checking account. Access to the money for the customers is easy.

Hence, Account A will be the best for Natasha.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, The minimum balance for the account is $500 and the rate of interest is 0.2% in the type A account. She has a saving account so the overdraw fee for her will be $0.

The ATM usage fee for account A is $0 and for other account types, the fee is charged as $3 or $2.50 per transaction.

The online bill payment service is free and $100 is required for opening the account the major advantage of this account is that the check-writing is unlimited.

Therefore, Option a. Account A is the best.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7


(12) - (23 +131) =
Express your answer in the form (a + bi),

Answers

Answer:

-142

Step-by-step explanation:

First solve parenthesis,

(12) - (23 +131) =

(12) -154

Finally subtract,

12-154

= -142

Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 3/4 feet long. ​ Each president's picture is 6 inches wide. If the pictures are placed side by side on either side of the window, how many pictures can he fit on this wall?

Answers

Answer:

8 pictures

Step-by-step explanation:

Given

[tex]Window = 5\frac{3}{4}ft[/tex]

[tex]Wall = 9.75ft[/tex]

[tex]Pictures = 6\ inches[/tex]

Required

Determine the number of pictures

First, we need to calculate the length of the available space

This is calculated by subtracting the width of the window from the width of the wall.

[tex]Space = Wall - Window[/tex]

[tex]Space = 9.75 - 5\frac{3}{4}[/tex]

Convert fraction to decimal

[tex]Space = 9.75 - 5.75[/tex]

[tex]Space = 4ft[/tex]

Since, the pictures are placed side by side.

This means that, there's no empty space between them.

Number of pictures is:

[tex]Number = \frac{Space}{Pictures}[/tex]

[tex]Number = \frac{4\ ft}{6\ in}[/tex]

Convert feet to inches

[tex]Number = \frac{4 * 12\ in}{6\ in}[/tex]

[tex]Number = \frac{48\ in}{6\ in}[/tex]

[tex]Number = \frac{48}{6}[/tex]

[tex]Number = 8[/tex]

Hence, 8 pictures can fit the wall

Answer:

8 pictures

Step-by-step explanation:

Please help it’s a very important test (Marking as brainliest if fast correct answer)

Answers

Answer: I believe it is D. Im sorry If I got you to fail

Answer:

B. 7/9 and 0.7

Step-by-step explanation:

Since 7 is inside the box that means 7 is being divided by 9 so 7/9, which eliminates C and D.

Since there are infinite more 0s in 7.000, there will be infinitely more 7s when you continue to try and divide. which means there must be a little line above the 7 in the 0.7, so the answer is B

I NEED A GOOD ANWSER
How many 6 inch photos will fit inside 48 inches?
(please write your answer and explain.

Answers

Answer:

8

Step-by-step explanation:

48/6 = 8

If this is what the question is asking.. just divide the space by the size of photos

Which of the following tables represents a linear function?
A
B
C
D

Answers

Answer:

d

Step-by-step explanation:

Answer:

daddychillejejejdidi

Find the value of the variable in the figure provided


PLEASE HELP ASAP

Answers

Answer:

x=17

Step-by-step explanation:

(5x-58)=(2x-7)  ->(because of cosine-rule)

3x=51

x=17

What should I choose

Answers

Answer:

Orange juice.

Step-by-step explanation:

It's the best thing ever it always gets u an A+ when you give it to your teachers

Answer:

variables

Step-by-step explanation:

Hope this helped, Have a Great Day!!

What is Three-fourths divided by one-sixth?

Answers

Answer:

18/4 or 9/2 or 4 1/2

Step-by-step explanation:

Answer:

9/2 or 4 1/2

Step-by-step explanation:

find the common denominator and divide across.

Callie solved this one-variable equation. When she was done, she tried to verify her answer, but found that it was wrong. Can you find her mistake? 1 2 (4k + 8) = 10 1. 2k + 16 = 10 2. 2k = −6 3. k = −3 What was Callie’s mistake? Callie should have added 10 to both sides in step 2. In step 1, when Callie distributed the One-half to the 8, she multiplied incorrectly. Callie divided by 2 instead of multiplying by 2 in step 3. Callie should have added 16 to both sides in step 2.

Answers

Answer: it is B or number 2

Step-by-step explanation:

I just did it and got it right

Answer:

b

Step-by-step explanation:

solve the equation for w. x=w/a

Answers

Answer:

w=xa

Step-by-step explanation:

Rewrite the equation as w/a=x

w/a=x

Multiply both sides of the equation by a

w=x*(a)

Multiply x by a

w=xa

Hope this helped!

Tanyas baked goods took in 175$ To help raise money for the chorus club .Tanya need to spend 32$ for baking supplies write and evaluate and addition expression to find how much profit tanyas baked goods make ?

Answers

Step-by-step explanation:

6 I think that is the answer I hop you get it right

please help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=4+56+3+13

Solving the whole number parts

4+3=7

Solving the fraction parts

56+13=?

Find the LCD of 5/6 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 6

56+26=76

Simplifying the fraction part, 7/6,

76=116

Combining the whole and fraction parts

7+1+16=816

Solution by Formulas

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

296+103

Applying the fractions formula for addition,

=(29×3)+(10×6)6×3

=87+6018

=14718

Simplifying 147/18, the answer is

=816

What is -10 plus 9 ?

Answers

Answer:

-1

Step-by-step explanation:

-1 because -10 + 9 leaves u with one negative left

can 15/55 be simplified. and if so what would it be?​

Answers

Answer: [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

This number can definitely be simplified by five.

= [tex]\frac{15}{55}[/tex] ÷ [tex]\frac{5}{5}[/tex]

= [tex]\frac{3}{11}[/tex]

Hope this helps! :D

10 bags of chips and 8 soda cans cost $15.
5 bags of chips and 5 soda cans cost $8.
How much does a bag of chips cost? How much does a can of soda cost?

Answers

Answer:

One bag of chips costs $1.10

One can of soda costs $0.50

Step-by-step explanation:

1. Create a system of equations (b = bags of chips | s = soda)

10b + 8b = 15

5b + 5s = 8

2. Use the Elimination method by multiplying 5b+5s=8 by -2

10b + 8b = 15

-2(5b + 5s = 8)

=

10b + 8b = 15

- 10b - 10s = -16

(10b and -10b will cancel out, so you will only have s left)

=

-2s = -1

Divide by 2

Soda = 1/2, or $0.50

3. Plug in S (0.50) into an equation above and get B by itself

5b + 5(0.50) = 8

=

5b + 2.5 = 8

     - 2.5    -2.5

5b = 5.5

Bag of Chips = $1.10

The Smith family went out to dinner and received great service. They decided to
leave a 20% tip for their waitress. If their dinner bil totaled $90, how much was the
tip? Think You need to find what percent of what number? Show your work

Answers

Answer:

$75

Step-by-step explanation:

90=1.2x

90/1.2=x

75=x

Answer:

$75 :D

Step-by-step explanation:

90=1.2x 90/1.2=x 75=x

Sarah paid $27.50 for two T-shirts. Each T-shirt cost the same. Let an equal the cost of one new shirt. Create an equation that can be used to find the cost, in dollars, of an shirts. What is the cost of one shirt

Answers

Answer:

27.50/2 (27.50 divided by 2)

Step-by-step explanation:

Find the slope of (-1,2) and (3,4)?

Answers

(5,4) because when you divide

the equation for your question would be...

y = 0.5x + 2.5

I’ll give brainliest (plz asap)

Answers

Answer:

it's 3/10

Step-by-step explanation:

you would have to multiply all of those fraction so:

3/4 x 4/5 x 1/2=  3/10

i am so so sorry if i am wrong

Last year, the average cost of a computer was $730. This year, the cost has decreased by 10%. What is the average cost of a computer this year?

Answers

Answer:

657

Step-by-step explanation:

A gym’s membership in February was 8,700. Now in November, it is 6,400. Which represents the percent of change?

Answers

Answer:

26.4%

Step-by-step explanation:

change = 8700-6400 = 2300

%change = 2300/8700 *100

%change = 26.44%

Hello, it's me once again. :) I need helpppp.

Answers

Pretty sure it’s A :))))

HELP I WILL GIVE BRAINLIEST!

Answers

I’m pretty sure it’s B. If I’m right pls mark me brainliest I need the virtuoso mark. If I’m not right just delete my answer

Answer:

I think it's 41°

Step-by-step explanation:

Because the angle represents Tan, by using the inverse of tan and the formula of Opp/Adj, the answer will be 41.08 Which is 41°

I hope This helps! and make me brainliest as you said, PLEASE..

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