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?

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:

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.


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

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.

tape diagrams help please

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

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

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

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

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

5 + 0 = 5

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Do not simplify any part of the expression.

theses are SOOOOO difficult 10 points if right

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

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

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

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

t=_______

BRAINLIEST AND 20 POINTS

What is 45 x 78÷ 14 + 98

Plz Need Help Fast, I will mark brainilest

58+0=58 is the property of what?

simplify -4/3 divided by 2/-6

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

Help if you can thank you

How do you simplify 1497.384?

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

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.

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

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.

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

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

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?

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!

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?