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

If 13 berries cost $2.60 and 17 berries cost $3.06, which has the better rate?

Answers

17 berries cost 3.06
for the first option, you would divide 2.60 by 13 to find the rate for each berry and you would get 0.2, then you would divide the second option to where you get 0.18. as you can tell, your answer would be 17 berries for $3.06 :)

Beverly received a $100 gift card to Dutch Brothers for her birthday. She spends 18 dollars every
4 weeks on coffee. Write an equation that represents her situation.

Answers

Answer:

100 - 18p / 4

Step-by-step explanation:

Your soccer team is holding a silent auction dinner as a fundraiser to pay for the team uniforms. The list shows all the expenses for the silent auction.

A tablet that costs $280
Soccer tickets that cost $100
A gift card that costs $20
The cost of the food is $400
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of the prizes and food

Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.

Answers

The correct answer is $900

can i get help right answer gets brainlyest

Answers

Answer:  The slope is 6.

Step-by-step explanation:

One way to see the slope is to look at the graph and find places where the graphed line crosses the corners formed by the grid lines. Then count the number from top to bottom and divide that number by the number of blocks left to right  (IF the scale is the same for both the x-axis and y-axis!) Then divide up-down number by left-right number. If it is the same, the slope is 1.

Here the line crosses the y axis at -1 exactly: (0, -1) The next place where it crosses the corner exactly is at (1, 5). Counting blocks:  6 from top to bottom, only 1 left to right  6/1

Or do it with the numbers: Find the difference in y-values, them divide by the difference in x-values, Using Coordinates (0,-1) and (1,5)  the difference in y-values is 5-(-1) = 5+1 = 6 The difference in x-values is 1 - 0 = 1   6÷1 = 6

Figure out these Writing Proportions Please!

Answers

I’m pretty sure the answer is B! :)

Answer:

B

Step-by-step explanation:

Simplify the expression.
6(x+4)+1

Answers

Answer:

6 times x would be 6x and 6 times 4 is 24. the one is added on so it would 6x + 25. hope this helped

Can someone help me with both?

Answers

Answer:

Part 1:

Perimeter = 24

Area = 36

Part 2:

How much fence to buy = P

How much wallpaper to use on a wall = A

How much border for a bulletin board is needed = P

How much water a fish tank can hold = V

Which expression is equivalent to 24 ⋅ 2−7?

1 over 2 to the power 11
1 over 2 to the power 3
23
211

Answers

Answer:

211

Step-by-step explanation:

The answer is 211 . Hope that helps:)

I will give brainliest, due by tonight:

Weights of different sandwiches in two lengths are shown on the table.

Weight of Sandwiches by Length of Roll

6-inch Roll 12-Inch Roll

3

Cheese sandwich

e

Chicken salad sandwich

3

Ib

4

1

Egg salad sandwich

Ib

Vegetable sandwich

Which sandwich's weight is proportional to its length?

O cheese sandwich

O

chicken salad sandwich

o egg salad sandwich

o vegetable sandwich

Answers

Answer:

answer is d

Step-by-step explanation:

i did the quiz

The answer is D, hope that helps!

Eeeeeeeeeeeeee please hurry qwq

Answers

first drop down: 2

second drop down: 12

third drop down: 5

fourth drop down: 1 1/5 (one and one fifth)

Answer:

1.) 2

2.) 6

3.) 5

4.) 1 1/5

A biker traveled 24 miles in 6 hours. A unit rate to describe this would be 4 miles per hour. What is another unit rate in this situation? (4 points)

Group of answer choices

1 over 4 mile per hour

1 mile per hour

4 hours per mile

1 over 4 hour per mile

Answers

Answer:1 over 4 mile per hour

Step-by-step explanation:

1 over 4 mile per hour

can someone help me i will give 100 points and brinliest

Answers

Answer:

its 100 and 63

Step-by-step explanation:

Identify the property being demonstrated for each expression.

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

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

5 + 0 = 5

Answers

Answer:

3+5+7

?

=

3+5+7

15=15

True

Step-by-step explanation:

3+ 12 = 8 + 7


12— 5+7
8— 3+5

. Write this relationship as a ratio, with millimetres as units. 4 mm to 8 cm. (Reduce your answer. Express your answer using a colon. Leave spaces between the numbers and units and the colon. eg. 1 cm : 1 cm)

Answers

Answer:

1 mm : 20 mm

Step-by-step explanation:

The ratio of this is 1mm:20mm

PLS!!!! HURRY!!!!!!!!!!!

Answers

What do you call a sleeping dinosaur ....


A Dino-snore

A cylindrical water tank is being filled with a hose. The depth of the water increases by 114 ft per hour.

How many hours will it take for the water level in the tank to be 312 ft deep?

Enter your answer as a mixed number in simplest form

Answers

Answer: 2 / 4/7

Step by step explanation :
In my test

Isabelle takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ride the bus. How many times would she have to take the bus for the cost to be the same?

Answers

y = total cost

x = amount of times she takes the bus

Let's create two equations to model the data in the problem above.

y = $2.50x

y = $1x + $15

Now, let's set them equal to each other and solve for x.

$2.50x = $1x + $15

Subtract $1x from both sides.

$1.50x = $15

Divide both sides by $1.50

x = 10

She would have to ride the bus 10 times for the cost to be equal.

Answer:

10 Trips

Step-by-step explanation:

Create 2 algebraic Equations, X is the number of trips and y is the total cost. y=2.5x, and y=x+15. Set them equal to eachother and solve for X.  2.5X=X+15. Subtract X from both sides to get 1.5X=15. Divide by 1.5 to get 10.  X=10, 10 Trips!

Adam can eat 3/8 of a pizza in 1/16 of a minute 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

Answer:

B

Step-by-step explanation:

Answer: C) 6 pizza per minute

Step-by-step explanation:

3/8 times 16 = 6

plz help me and plz show your work

Answers

Answer:

Step-by-step explanation:

The common difference, d, is 3, because the number of squares goes up by 3 each time.

d = 3

Number of squares in nth figure is:

a(n) = 4 + d(n - 1)

4 is the initial number of squares, d is how many it goes up each time, and we take n-1 because you need to account for the initial number of squares.

a(n) = 4 + d(n - 1)

For n = 200

a(n) = 4 + d(n - 1)

a(200) = 4 + 3(200-1)

a(200) = 4 + 3(199)

a(200) = 4 + 597

a(200) = 601

2 x 10^5 standard notation

Answers

Answer:

2x100000

Step-by-step explanation:

Answer:

200,000

Step-by-step explanation:

Following the mathematic PEMDAS rule (Parentheses, Exponents, Multiplication, Division, Subtraction) a rule where it gives the order in an algebraic expression/equation shall be completed. in this case, exponents first which equals 100,000 and that times 2 is doubled to 200,000.

Please help asap i need help and explain how do u count this without a ruler

Answers

Answer:

you would take your index finger and your thumb and put them toward the eraser and move your fingers and the answer is 9 or 13 if you needed help with that

Step-by-step explanation:

Answer:

13 cm

Step-by-step explanation:

The good news is that you don't need a ruler!

First, you see that the eraser is approximately 5 cm in length, so you must your mind to mentally picture the eraser beside it. You end up with 10 cm. Then, you see that there is more space left on the stick. You know that another complete eraser will not fill up that space. So, you must ask yourself: What is larger than 9 cm, but smaller than 15 cm? The answer is 13 cm!

help on tape diagrams

Answers

Answer:

n = 0.35

Step-by-step explanation:

0.35


1.75 divided by 5 equals 0.35

A conversion table indicates that 1 mile is 1.6 km. With this conversion rate, is the speed limit greater than or less than 65 mph? Explain.

Answers

greater because 1.6 is larger than 1

Answer:

higher than

Step-by-step explanation:

The speed limit is 110 km hour and there are 1.6 kilometers in a mile. This means that there are 110 ÷ 1.6 miles per hour:

110 km hour÷1.6 km mile=110÷1.6 miles hour.

We can find 110 ÷ 1.6 using long division and it is 68.75. So the speed limit  is higher than 65 mph

The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb. of small apples? It’s says show work

Answers

Answer:  4 apples in 1 lb

Step-by-step explanation:  There are twice as many small apples  as large apples, so multiply 2 × 84 = 168

to find apples per pound, divide the total number of apples, 168,  by the weight of the bushel: 42 lbs.

168 /42 = 4 apples/lb

The required number of small apples in one pound is 4.

Given that,
Each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb. of small apples, is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Large apples in 1 pound = 84 / 42 = 2
Now, according to the question,
Number of small apples = 2 (number of large apples)
Number of small apples = 2 (2)
Number of small apples = 4

Thus, the required number of small apples in one pound is 4.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Evaluate 3r³+5,when r=2

Answers

Answer:

29  

Step-by-step explanation:

Answer:

221

Step-by-step explanation:

r=2

32³+5=

3x2= 6

6³ +5

6x6x6 = 216

216 + 5 =221

Hope this helps please give me brainliest!

plz help and plz show work 10.

Answers

Answer: The answer is x=4

Step-by-step explanation:

1/2x+15=5+3x

subtract 5 from both sides and now you have 1/2x+10=3x

Subtract 1/2x from both sides, leaving you with 10=2.5x

then divide 2.5 from both sides. That leaves 4=x or x=4

The total cost for each health club will be the same after
nothing months.

Answers

Answer:

yes

Step-by-step explanation:

Yessir hdjdkfñgbdndjgkg

Make a function table for the rule n-3 using the input values of –5, –1, and 2. Then graph the functions.

Answers

Answer:

/

Step-by-step explanation:

Factor the expression : 13 x +10

1) 10x (13 x +1)
2)x ( 13 + 10)
3)13 x ( x +10)
4)Cannot be factored

Answers

Answer:

4

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Brandon's car used 15 gallons to travel 435 miles. At what rate does the car use gas,
miles per gallon?

Answers

Answer:

29 miles per gallon

Step-by-step explanation:

Take the miles and divide by the gallons

435/15

29 miles per gallon

ANSWER: 29 miles per gallon!
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