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3 years ago

5

Every month, Ms. Jones pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same am

ount on her car loan each month. At the end of the year, her savings account balance changed by −$3,702 from payments made on her car loan. Part A What is the change in Ms. Jones' savings account balance each month due to her car payment?

1 answer:

andriy [413]3 years ago

7 0

Answer:

- $308.50

Step-by-step explanation:

Given that :

Total change in savings account due to car loan payment = - $3702

Amount paid as car loan paynmet monthly is the same ;

Number of months in a year = 12

Change in saving account per month die to car loan payment :

Total change in account over a year / number of months on a year

= - $3702 / 12

= - $308.50

A monthly change of - $308.50 in savings account.

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Step-by-step explanation:

The picture of the question in the attached figure

step 1

In the right triangle ABD

Applying the Pythagorean Theorem

$x^2=y^2+(12-4)^2$

$x^2=y^2+64$

$y^2=x^2-64$ ----> equation A

step 2

In the right triangle BDC

Applying the Pythagorean Theorem

$z^2=y^2+4^2$

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step 3

In the right triangle ABC

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step 4

Equate equation A and equation B

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step 5

substitute equation D in equation C

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$y^2=48-16$

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$y=\sqrt{32}\ units$

$y=4\sqrt{2}\ units$

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