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andriy [413]
3 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]3 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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Andrei [34K]

Answer:

(a) y = 0.025x+15

(b) 18.5 minutes

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Step-by-step explanation:

Given

290\ minutes = \$22.25

360\ minutes = \$24.00

Solving (a): Determine the linear equation

First, we need to calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

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Multiply through by 100

m = \frac{1.75 * 100}{70 * 100}

m = \frac{175}{7000}

Next, is to calculate the equation of the line using:

y - y_1 = m(x - x_1)

Recall that:

(x_1,y_1) = (290,22.25)

m = \frac{175}{7000}

y - 22.25 = \frac{175}{7000}(x - 290)

y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290

y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}

Add 22.25 to both sides

y = \frac{175x}{7000} - \frac{5075}{700}  + 22.25

y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}

y = \frac{175x}{7000} + \frac{10500}{700}

y = 0.025x+15

(b) Solve for y when x = 140

y = 0.025x+15

Substitute 140 for x

y = 0.025 * 140 + 15

y = 3.5 + 15

y = 18.5

(c) Solve for x when y = 26.25

y = 0.025x+15

Substitute 26.25 for y

26.25 = 0.025x + 15

Solve for 0.025x

0.025x = 26.26 - 15

0.025x = 11.26

Solve for x

x = 11.26/0.025

x = 450.4\ minutes

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Use:

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