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emmasim [6.3K]
3 years ago
15

1: A woman buys a car making a $3,000 down payment and then agrees to make 48 monthly payments of $360. What is the total cost o

f the car?
2: Last week a man worked 12 hours a day for 5 days. This week he worked 57 hours. How many hours did he work in all?

please show how you got your answer !!
Mathematics
2 answers:
katrin [286]3 years ago
7 0

Answer:

1. $20280

2. 117 h

Step-by-step explanation:

1.

to know the value of the car we have to add all the monthly payments with the $ 3000 that she paid at the beginning

x =  car value

x = $3000 + 48 * $360

x = $3000 + $17280

x = $20280

The total cost of the car is $20280

2.

To know how many hours I work in total we have to add the hours I work in each day 5 times with the 57 hours I work the following week

x =  hours that work in all

x = 5 * 12 + 57

x = 60 + 57

x = 117

work for 117 hours in all

timofeeve [1]3 years ago
5 0

Answer:

Step-by-step explanation:

1) the down payment made for the car is $3000.

She then agrees to make 48 monthly payments of $360. It means that the total monthly payments in 48 months is

48 × 360 = $17280

The total amount that she paid for the car is

17280 + 3000 = $20280

2) Last week a man worked 12 hours a day for 5 days. It means that the total number of hours he worked last week is

12 × 5 = 60 hours

This week, he worked 57 hours. It means that the total number of hours he worked is

60 + 57 = 117 hours

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write an equation in slope intercept form for the line that passes through the points (3,2) and(-9,6)
netineya [11]

Answer:

y = - \frac{1}{3} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 9, 6)

m = \frac{6-2}{-9-3} = \frac{4}{-12} = - \frac{1}{3}, hence

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 9, 6), then

6 = 3 + c ⇒ c = 6 - 3 = 3

y = - \frac{1}{3} x + 3 ← in slope- intercept form

4 0
3 years ago
The sales tax for an item was $24.50 and it cost $490 before tax.
Ymorist [56]

The sales tax rate is 5%.

Step-by-step explanation:

Given,

Sales tax for an item = $24.50

Cost of item before tax = $490

Sales tax rate = \frac{Sales\ tax}{Cost\ of\ item}*100\\

Sales\ tax\ rate=\frac{24.50}{490}*100\\\\Sales\ tax\ rate=\frac{2450}{490}\\\\Sales\ tax\ rate=5\%

The sales tax rate is 5%.

Keywords: sales tax, percentage

Learn more about percentages at:

  • brainly.com/question/2173995
  • brainly.com/question/2191048

#LearnwithBrainly

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Step-by-step explanation:

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Step-by-step explanation:

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Which number line represents the solution set for the given inequality x + 1 &lt; (or equal to) -3 OR -4x &lt; -8
vampirchik [111]

we are given inequalities as

x+1\leq -3

Subtract both sides by 1

x+1-1\leq -3-1

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so, we get interval as

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we can divide both sides by -4

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so, we get interval as

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now, we can combine them

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now, we can draw number line and locate this interval

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3 years ago
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