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andriy [413]
2 years ago
11

The answer is not 1465.5. Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings ac

count. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by -$2,931 from payments made on her car loan. What is the change is Ms. Thomas' savings account balance each month due to her car payment?
Mathematics
1 answer:
Andrew [12]2 years ago
4 0

Answer:

$244.25

Step-by-step explanation:

First, the question is asking what the change in her savings account balance is each month. So, you know that you are looking for the amount that is lost each month. When it says that at the end of the year, she has payed $2,931 , what is implied is that she has spent that much over 12 months. So all that is needed to do is divide her balance change over the year by 12 to find the monthly balance change.

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7 0
2 years ago
Answer and how to do it
ollegr [7]

Answer:

(x - 9)^2 + y^2 = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

You are given

x^2 + y^2 - 18x + 45 = 0

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

x^2 - 18x + y^2 = -45

Now we need to complete the square for x.

x^2 - 18x ~~~~~~+ y^2 = -45

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

x^2 - 18x + 81 + y^2 = -45 + 81

(x - 9)^2 + y^2 = 36

Answer: (x - 9)^2 + y^2 = 36

6 0
3 years ago
Find the quotient of `(2i(4+5i)(4-5i))/(4+i)`, and express it in the simplest form.
DIA [1.3K]

Answer:

(328i + 82)  /  17

Step-by-step explanation:

`(2i(4+5i)(4-5i))/(4+i)

= (2i(16 - 25i^2)) / (4 + i)

= (2i( 16 + 25) )) / (4 + 1)        [Note:- i^2 = -1]

=  82i / (4 + i)

= 82i(4 - i) / (4 + i)(4 - 1)

= 328i  + 82 /   (16 - i^2)

= (328i + 82)  /  17

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3 years ago
Which expression would be easier to simplify if you used the associative
user100 [1]

Answer:

A

Step-by-step explanation:

50 plus 50 is the easiest number to add so in the associative property you put the easiest problem in parentheses so you can do it first like answer A is

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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