MATHEMATICS MIDDLE SCHOOL

Pat bought a boat for $37,000 in 2001. In 2006 the boat was worth $27,000. If the boat depreciation is linear, how much will the boat be worth in 2009? A) $27,000
B) $22,000
C) $21,000
D) $20,000

Answers

Answer 1
Answer:

Answer: C) $21,000

Step-by-step explanation:

Given : Pat bought a boat for $37,000 in 2001. In 2006 the boat was worth $27,000.

If the boat depreciation is linear, then the amount by which the value of boat depreciates must be constant.

Let x be the constant depreciation in the value of boat per year.

Then , the value of boat (in dollars) after n years from 2001 is given by :-

V=37,000-nx                (1)

For year 2006 , n=5 and V = 27000

Then , 27000=37,000-5x

i.e.  5x=37,000-27000

i.e.  5x=10,000

i.e.  x=2,000

Thus , the constant amount of depreciation in the value of boat per year. = $2000

Now for year 2009 , put in n=8 and x= 2000 in (1), we get

V=37,000-(8)(2000)=37000-16000=21000      

Hence, the value of boat  in 2009 = $21,000
Answer 2
Answer: the answer is C) $21,000

hope this helps

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A. isosceles and acute

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the answer is B isosceles and obtuse

Name all sets of numbers for 7.2

Answers


That's a verrrrrry interesting number ! 
It belongs to an infinite number of sets,
and I'm pretty busy right now.

Here are just a few of them:

-- real numbers
-- rational numbers
-- positive numbers
-- mixed numbers
-- multiples of  0.1
-- multiples of  0.2
-- multiples of  0.3
-- multiples of  0.4
-- multiples of  0.6
-- multiples of  0.8
-- multiples of  0.9
-- multiples of  1.2
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-- numbers less than  7.22
-- numbers less than  7.23
.
.
etc.

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Solve the system using any method.
y = 3x + 2
y = 7x - 10

Answers

Answer:

x=3

y=11

Step-by-step explanation:

y = 3x + 2   equation 1

y = 7x - 10   equation 2

using equation 1 in equation 2 we have:

3x + 2   = 7x - 10

2=7x - 3x -10

2 = 4x -10

2+10 = 4x

12= 4x

12/4 = x

we have:

x= 3

using equation 1:

y = 3x + 2

y= 3(3)+2

y=9+2

y=11

What does 'n' equal?

(3n-7)/6 = (2n+5)/3

Answers

I think it is n = -17 (3n-7)/6 = (2n+5)/3 (3n-7) * (3) = (2n+5) * (6) 9n - 21 = 12n + 30 9n- 21 - 12n = 12n + 30 - 12n -3n - 21 = 30 -3n - 21 + 21 = 30 + 21 -3n = 51 -3n/-3 = 51/-3 n= -17

Four years ago Hakim borrowed 275$ to help pay for tires. He agreed to pay interest to pay at a simple annual interest rate by 4%. how much did Hakim owe at the end of four years? A. 286$
B. 319$
C. 715$
D. 1375$

Answers

Simple interest is I = prt
I=275(.04)(4)
I= $44
$285+$44=$319
Letter B

Answer:

$319

Step-by-step explanation:

Which equation can we use to find the length of the side labeled x?
What is the value of x?

Answers

Answer:

option d

d ---- sin30 =5/x

Answer:

D. sin 30° = 5/x

Step-by-step explanation:

recall that for a right triange, considering one of the acute angles θ

sin θ = length of opposite side / length of hypotenuse

from the picture, we can see that

θ = 30°, length of opposite site = 5 and length of hypotenuse = x

substituting this into the above equation

sin 30° = 5/x
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