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RUDIKE [14]
3 years ago
13

Robert bought a car that was two years old for $23,300. After owning it for three years he sold it for $18,500. The car deprecia

tes linearly. Write an equation that represents this depreciation. Use the equation to estimate the value of the car when it is ten years old. How much does the car depreciate?
Mathematics
1 answer:
ycow [4]3 years ago
8 0

Answer:

23,000 = 3x + 18,500

Step-by-step explanation:

23000-18500=4500

x = 1500

15000 = 10x

23000-10000=13000

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Write the slope intercept form of a line through (6, -7) and parallel to y= x - 9
AveGali [126]

Answer:

y = x - 13

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 )

y = x - 9 ← is in slope- intercept form

with slope m = 1

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation of the parallel line

To find c substitute (6, - 7) into the partial equation

- 7 = 6 + c ⇒ c = - 7 - 6 = - 13

y = x - 13 ← equation of parallel line

7 0
4 years ago
The diagram below shows the rectangle PLUM.
Illusion [34]

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = \frac{36}{8}

AM = 4.5 units

Area of PLM = \frac{1}{2}(\text{Base})(\text{height})

                     = \frac{1}{2}(ML)(AP)

                     = \frac{1}{2}(8 + 4.5)(6)

                     = 12.5 × 3

                     = 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

3 0
3 years ago
The slope of the line whose equation is 3x - 2y = 4 is 2/3 3/2 -2
7nadin3 [17]

Answer:

3/2

Step-by-step explanation:

The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.

Therefore

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y=3/2x-2

Therefore, 3/2 represents the gradient/slope

6 0
3 years ago
A 16 oz bottle of fruit punch costs $2.40. A 24 oz. bottle of fruit punch costs $3.84. Which size costs less per ounce?
mart [117]
The 16 oz bottle costs less. One cent less, to be exact. I came up with this by dividing the total cost (2.40) by the size of the bottle (16). I came up with .15. I did the same with the other cost and size, coming up with .16.
6 0
4 years ago
3.) A box in the shape of a rectangular prism has a volume of 180 cm". The length is x cm, the
Karolina [17]

Answer:

48

Step-by-step explanation:

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4 0
4 years ago
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