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Burka [1]
3 years ago
12

An automobile purchased for ​$18,000 is worth ​$2800 after 8 years. Assuming that the​ car's value depreciated steadily from yea

r to​ year, what was it worth at the end of the third​ year?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0
The car is loosing 1,900 each year so the worth of the car at the third year is $12,300
You might be interested in
1.
Diano4ka-milaya [45]
Part A)  x cannot be 1 or 0, because that would lead do division by 0.  If x=1, 1-1=0.  If x=0, then we have straight division by 0.

Part B)  x=2 or x=1.

Together they could clean the house in 3.75 hours.

Explanation:

Part A is explained with the answer.
Part B)
\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}
We will first multiply each term by (x-1) to cancel those denominators:
\frac{1}{x-1} \times \frac{x-1}{1}+\frac{2}{x} \times \frac{x-1}{1}=\frac{x}{x-1} \times \frac{x-1}{1}
\\
\\ \frac{x-1}{x-1}+\frac{2(x-1)}{x}=\frac{x(x-1)}{x-1}
\\
\\ 1+\frac{2(x-1)}{x}=x

Now we multiply everything by x to cancel that denominator:
1(x)+\frac{2(x-1)(x)}{x}=x(x)
\\
\\x+2(x-1)=x^2
\\
\\x+2*x-2*1=x^2
\\x+2x-2=x^2
\\3x-2=x^2

We want all of the variables to be on the same side of the equation, so subtract 3x from both sides:
3x-2-3x=x²-3x
-2=x²-3x

To solve quadratics, we set them equal to 0.  Add 2 to both sides to make this happen:
-2+2=x²-3x+2
0=x²-3x+2

To solve this by factoring, we want factors of 2 that sum to -3.  -2(-1)=2 and -2+-1=-3:
0=(x-2)(x-1)

The zero product property tells us that either x-2=0 or x-1=0; therefore x=2 or x=1.

Max cleans 1/10 of the house in an hour, since it takes him 10 hours to clean the whole house.  Maggie cleans 1/6 of the house in an hour, since it takes her 6 hours to clean the whole house.  Our equation is then:

1/10x+1/6x=1 (one whole, since it is one house; x is the number of hours)

Find a common denominator.  60 is the first thing that 10 and 6 both evenly divide into:
6/60x+10/60x=1
16/60x = 1

Divide both sides by 16/60:

16/60x ÷ 16/60 = 1 ÷ 16/60
x = 1/1 ÷ 16/60
x = 1/1 ×60/16
x = 60/16 = 3.75.
5 0
3 years ago
Read 2 more answers
AYO HELP ME WITH THIS!!!!
xeze [42]

Answer:

a taco is 1.25 and a drink is 0.95

Step-by-step explanation:

tacos = t

drinks = d

5t + 3d = 9.10

3t + d = 4.70

this is a simultaneous equation so times the first one by one and the second by 3 and then take them away from each other and solving to get

t = 1.25 and d=0.95

one drink is $0.95

one taco is $1.25

Hope this helps!!

4 0
3 years ago
James bought of a pound of dried cherries and of a pound of dried cranberries. How much dried fruit did he buy? [Write your answ
Mariana [72]

Answer:

2 pounds of dried fruit

Step-by-step explanation:

James bought of a pound of dried cherries and of a pound of dried cranberries. How much dried fruit did he buy? [Write your answer in simplest form.]

The total amount of dried fruit that he bought is calculated as:

1 pound of dried cherries + 1 pound of dried cranberries

= 2 pounds of dried fruit

Therefore, the total amount of dried fruit that James bought is 2 pounds of dried fruit.

3 0
3 years ago
I have $100 and I want to buy tshirt that cost $10 and sweatshirts that cost $20 how many tshirts and sweatshirts can I buy
jolli1 [7]

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What percent of 300 is 600​?
Galina-37 [17]
The answer is 200%.

( Take 600 divided by 300 )

7 0
4 years ago
Read 2 more answers
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