Activity
Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account. What is the net change in her bank account balance after each monthly payment? Complete the steps below to solve this problem and others like it.
Part B
Which rational number represents the number of months that Callie has to pay off the bill? What does the sign on the number mean?

Part C
Write an expression to represent the net change to Callie’s account balance each month.


Part D
Simplify the expression in part C to find the net change to Callie’s account balance each month.
Part E
After paying the car service center in full, Callie realizes that she should start saving money each month for her future. She decides to invest the same monthly amount that she was paying the service center in a retirement fund. If she invests in the retirement fund for one year, what will the net change in her account balance be during that time

Part F
What is the sign of the net change in part E? Why does the sign make sense in this situation?

Answers

Answer 1

Part A The net change to Callie’s bank account is -$416.48. The negative sign indicates money leaving Callie’s account.

Part B Callie has 4 months to pay off the bill. The rational number is +4. The sign is positive because it represents a quantity of something, in this case, months.

Part C The amount of the bill, -$416.48, will be deducted from Callie’s account in equal amounts over 4 months. So, the expression representing the net change in her account balance each month is -416.48/4 .

Part D -416.48/4=104.12

Part E The monthly withdrawal from Callie’s account continues to be -$104.12. After 1 year (12 months), the net change to her account balance will be -$104.12 × 12 = -$1,249.44.

Answer 2

Answer:

part a)

ANSWER: The net change to Callie’s bank account is -$416.48. The negative sign indicates money leaving Callie’s account.

part b)

ANSWER: Callie has 4 months to pay off the bill. The rational number is +4. The sign is positive because it represents a quantity of something, in this case, months.

part c)


ANSWER: The amount of the bill, -$416.48, will be deducted from Callie’s account in equal amounts over 4 months. So, the expression representing the net change in her account balance each month is -416.48/4 .

part d)

ANSWER: -416.48 / 4= -$104.12

part e)

ANSWER: The monthly withdrawal from Callie’s account continues to be -$104.12. After 1 year (12 months), the net change to her account balance will be -$104.12 × 12 = -$1,249.44.

part f)

ANSWER: The net change is -$1,249.44. The sign is negative because it represents money leaving, or being deducted from, Callie’s bank account.



Related Questions

Complete the steps to solve the equation.
1/5t + 2 - ____ = 17 - _____
1/5t=______
_____ * 1/5t =______

t=_______

Answers

blank 1 and 2: 2
blank 3: 17
blank 4: 5
blank 5: 5 (17)
blank 6: 85

The complete steps are;

⇒ 1/5t + 2 - 2 = 17 - 2

⇒ 1/5t = 15

⇒ 5 * 1/5t = 5 * 15

⇒ t = 75

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or variable raised to the power one.

We have to given some steps of equation.

Now, The complete steps to solve the equation are;

1/5t + 2 - ____ = 17 - _____

Subtract 2 from both sides;

⇒ 1/5t + 2 - 2 = 17 - 2

1/5t = 15

Multiply 5 in both sides;

5 * 1/5t = 5 * 15

⇒ t = 75

So, The complete steps are;

⇒ 1/5t + 2 - 2 = 17 - 2

⇒ 1/5t = 15

⇒ 5 * 1/5t = 5 * 15

⇒ t = 75

Learn more about the linear expression visit:

https://brainly.com/question/26260688

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Solve using GCF
1. 3y-24
2. 6+16k
3. 20z-8
4. 1/3b-1/3
5. 2.2x+4.4

ASAP! Pls and thank you

Answers

Answer:

The answer is -5z - 6

theses are SOOOOO difficult 10 points if right

Answers

graph it like this:
This is it hope it helps

58+0=58 is the property of what?

Answers

Its additive identity. Additive identity means that if you add zero to any number, the number will stay the number itself only.
Addiction because it’s adding

Identify if the problem is a commutative property, distrudited property, associative property, or an identity property

3 + (5 + 7) = (3 + 5) + 7

(3)[5(7)] = (3)[7(5)]

5 + 0 = 5

Answers

Answer:

associative, associative, identity

Step-by-step explanation:

pretty simple, no explanation

Help if you can thank you

Answers

Both of them are 6 units

At a butcher​ shop, Karl bought 7 13/20 lb of beef and some pork. He left with 14 19/25 lb of meat. Express the number of pounds of pork be bought using a decimal.

Answers

I think it’s 43 1/5 but I’m not sure

Can someone pls help me I will give u brainliest if you do
1. A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

a. Write an equation that describes all possible numbers of questions that may be on the test.

b. If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

Answers

Answer:

a. 2x+4y=100

b. 2 questions

Step-by-step explanation:

For a, you can write out hat equation, which can test if a specific combination will work, and once you have one variable, you can solve another

For b, you can plug 24 into the equation

2x+4(24)=100

2x+96=100

2x=4

x=2

How do you simplify 1497.384?

Answers

Answer:

1497.4

Step-by-step explanation:

It can be simplified in many ways
Thousands place: 1,000
Hundreds place: 1,500
Tens place: 1,500
Ones place: 1,497

Decimals places:

Tenths place: 1,497.4
Hundredths place: 1,497.48

Hope this helps :)

Johnny has 20 coins. They are nickels and dimes. If Johnny has $1.40, how many dimes does Johnny have?

Answers

Answer:

Step-by-step explanation:

I think you should subtract

Hope this helps you

Johnny would have 12 dimes. 12 times 10 = $1.20. Then, 8 nickels. 8 times 5 = $0.40.

So, Johnny would have 12 dimes and 8 nickels.

What is 45 x 78÷ 14 + 98

Answers

Answer:

Step-by-step explanation:

45*75=3510/14=250.71+98=348.7142857142857

A gardener has 27 pansies and 36 daisies. He plants an equal number of each type of flower in each row. What is the greatest possible number of pansies in each row?

Please help!

Answers

Answer:

3

Step-by-step explanation:

36 can go into 3

27 can go into 3

A bag of equally sized rhinestones weighs 16 ounces. Each rhinestone weighs 0.016 ounce.

If you have 2 bags of rhinestones, how many rhinestones do you have?

Answers

Answer:

2000

Step-by-step explanation:

16*2=32

32/0.016=2000

If A. is a negative rational number and B. is a positive rational number, which of the following must be true? Give an example for the statements that are true and a COUNTEREXAMPLE for the statements that are false.

A. a - b is a positive
____________________________________
B. b - a is a positive
____________________________________
C. b + (-a) is a negative
____________________________________
COUNTEREXAMPLE : its a theory HELP MEEEEE PLES

Answers

Answer:

B,b‒a is a positive.

Step-by-step explanation:

if a=‒x x=rational number

b=x

let's see these by examples

A,a‒b is a positive, ‒x‒x=‒2x (the answer is negative) so this is wrong

B,b‒a is a positive, x‒(‒x)=x+x=2x (the answer is positive)so this is correct answer

C,b+(‒a) is a negative,x+‒(‒x)=x‒(‒x)=x+x=2x(the answer is positive)so this is also wrong

i hope it helps you

At an amusement park, there are 6,912 moon shoes and 4,436 cactus plants. There are a total of 13,336 prizes. How many spaghetti hats are at the amusement park? Solve for the value of h on paper.


13,336 = 6,912 + 4,436 + h


There are _______spaghetti hats at the amusement park.

Answers

there are 1988 spaghetti hats at the amusement park

Answer:

1988 the true true (^3^♪

A carton of two dozen eggs includes three with cracks. How many eggs without cracks can be expected in six dozen eggs?

Answers

Answer:

63

Step-by-step explanation:

because 2 dozens is 24, and since there are three cracked eggs in two dozens, in six dozens, which is 72 eggs, since 24 times 3 is 72, we have to multiply 3 times 3, which is nine, so 9-72,which is 73.

The number of eggs without cracks can be expected in six dozen eggs will be 63.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A carton of two dozen eggs includes three with cracks.

Crack egg = 3 / (12 x 2)

Crack egg = 3 / 24

Crack egg = 1/8

The number of non-crack eggs is given as,

Non-crack egg = (24 - 3) / 24

Non-crack egg = 7/8

Then the total number of eggs in six dozen is given as,

Total egg = 12 x 6

Total egg = 72

Then the total number of non-crack eggs is given as,

Total non-crack eggs = 72 x 7 / 8

Total non-crack eggs = 63

The number of eggs without cracks can be expected in six dozen eggs will be 63.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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plz help ill give BRAINLIEST it for a test fast plz
Which of the following could be side lengths of a right triangle? Select all that apply.
a.3, 4, 5
b.5, 12, 13
c.7, 24, 25
d.6, 8, 12
e.2, 3, 5

Answers

Answer:

i believe it is C 7,24,25

Step-by-step explanation:

good luck

The answer is a.3,4,5

HELP! I DONT UNDERSTAND AND ITS DUE IN A BIT!!

Answers

Answer: It is a 90 Clockwise Degree Turn.

Step-by-step explanation:

From my knowledge, a 90-degree turn is a turn to the right.

So if you turn the "C" in the Y-axis 90 degrees you will get The "C" on the X-axis.

For Example: When you walk around a street you either turn 90 degree's to the right or 90-degrees to the left.

Hope this Helps!

90° clockwise around the origin :)

Adam can eat 3/8 of a pizza in 1/16 of a muinite complete the unit rate by setting up a complex fraction and simplifying Answers A) 1 pizza per minute B) 3 Pizza per minute C) 6 Pizza per minute D) 9 Pizza per minute Answer correctly and i will give away a giftcard

Answers

don’t trust me, but i think c i had this question last week but i don’t remember the answer

BRAINLIEST AND 20 POINTS

Answers

the answer is the third one :)

Answer:

The answer is the third one

Step-by-step explanation:

If you flip them over you will see that <CAB = <C'A'B.

Anyways, the actual letters are a dead giveaway.

simplify -4/3 divided by 2/-6

Answers

Answer:

59.8

Step-by-step explanation:

59.8 step by step explain is i did it on a peace of paper

in an experiment, the temperature of a solution is -7/8 °F. The temperature drops 1 1/2 °F. What is the temperature after the drop? What is the common denominator of -7/8 and
1 1/2

Answers

Answer:

8

Step-by-step explanation:

The answer is gonna be 8:

tape diagrams help please

Answers

Answer:

w+1.3=2.7 i think

Step-by-step explanation:

w + 1.3 = 2.7 or
2.7 = 1.3 + w

pls help me if you can i dont need the work shown just the answer

Answers

Answer:

B

Step-by-step explanation:

Your answer is b hope it helps

Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 +40. Her work is shown below.

Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

84 + 40 = 2 (42 + 20)

What statement best describes Sari’s error?
Sari did not use correct factors for 84 in the equation.
Sari did not use correct factors for 40 in the equation.
Sari did not use two equivalent expressions in the equation.
Sari did not use the greatest common factor in the equation.

Answers

Answer: Sari did not it’s the greatest common factor in the equation

Step-by-step explanation: the GCF is 4 because it’s the highest number they have in common

i agree. sara did not use the gcf

A horse walked 30 minutes for 3.5 km and another 30 minutes for 2.5 km. What was the horse's speed in hours

Answers

The speed of the horse would be 6km/h

Answer:

it is going at a constant speed 6 km/h

Step-by-step explanation:

3.5+2.5= 6 hours

it is going at a constanrtspeed

Write an expression for the sequence of operations described below.
raise 3 to the 10th power, then subtract r from the result
Do not simplify any part of the expression.

Answers

Answer:

3^10-r

Step-by-step explanation:

3^10-r is the correct answer without simplifying

Plz Need Help Fast, I will mark brainilest

Answers

The answer is 3 I think

Choose the correct word form of 187.023
1 x 100 + 8 x 10 + 7 x 1 + 2 x 0.01 +3 x 0.001
one hundred eighty-seven. twenty-three thousandths
one hundred eighty-seven and twenty-three thousandths
one eight seven twenty-three thousandths

Answers

One hundred eighty seven and twenty three thousandths

Katherine lives (1 x 100) + (2 x 1) + (8 x 1/10 ) + (4 x 1/100 ) miles away from her grandma. Which number represents the distance in base-ten numeral?
120.84
102.84
1.084
121.24

Answers

The answer is 102.84

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