Faith purchased a new car in 1998 for $32,900. the value of the car has been depreciating exponentially at a constant rate. if the value of the car was $19,900 in the year 2003, then what would be the predicted value of the car in the year 2007, to the nearest dollar?

Answers

Answer 1

The predicted value of the car in the year 2007 is 13310

Given the purchased value of new car in 1998 is  $ 32,900

The value of car was $ 19,900 in the year 2003

We need to find the value of the car in the year 2007

Let the predicted value be x

The exponentially constant rate in 2003

32900*x^5 = $19900 (∵ x^5 = 5 years difference that is 1998 to 2003 )

Now In year 2007

2007 = 32900*x^9

x = 0.9043

The predicted value of the car is 0.09043

But we want the predicted value in 2007

Therefore ,

In 2007 ≈ x = 13310.02

Rounding off to the nearest dollar is $13310

Therefore the predicted value of the car in 2007 is $13310

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Related Questions

which of the following equations uses the commutative property of addition to rewrite 1/4 + 2/5?

a) 1/4 + 2/5= 5/20 + 8/20
b) 2/5 + 1/4= 13/20
c) 13/20 - 2/5= 1/4
d) 2/4 + 1/5= 14/20​

Answers

Answer:

B)

Step-by-step explanation:

Hope that helps!

The equation in option (b), 2/5 + 1/4 = 13/20, uses the commutative property of addition to rewriting 1/4 +2/5.

What is the commutative property of addition?

The sum of two or more integers remains the same regardless of how they are grouped, according to the commutative property of addition.

The given expression is 1/4 + 2/5.

Simplify the expression as follows:
1/4 + 2/5

= (5 + 8)/20

= 13/20

Hence, it follows 1/4 + 2/5 = 13/20.

Now, using the commutative property of addition, the equation can be written as:

2/5 + 1/4 = 13/20

Hence, the equation in option (b), 2/5 + 1/4 = 13/20, uses the commutative property of addition to rewriting 1/4 +2/5.

Learn more about the commutative property of addition:

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Spencer had a sack filled with 65 9/10 pounds of cement. He removed some of the cement from the sack and put it into three buckets. He put 8 1/10 pounds of cement in each bucket. Spencer says he has about 42 pounds of cement left in the sack. Is his statement reasonable?

Answers

Answer:

No the statement isnt reasonable

Step-by-step explanation:

True or False? If one of the angles of a triangle is obtuse, then the triangle is obtuse.

Answers

Answer:

True

Step-by-step explanation:

Image result for True or False? If one of the angles of a triangle is obtuse, then the triangle is obtuse.

In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees. ... Hence, if one angle of the triangle is obtuse, then the other two angles with always be acute.

Answer:

True, as long as the other angles are acute !!

Step-by-step explanation:

I hope this helps !! :D

=. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
per week. Priya starts with $30 in her savings account and adds $15 each week.
After three weeks, who has more money in their savings account? Explain how you know.
a.

Answers

Answer:

diego. 80+(5x3)= 95

it isn't priya because 30+(5x3)=45

The length of a rectangle exceeds the breadth by 8 cm. Find the area of the rectangle, if its perimeter is 180 cm

Answers

Answer:

2009cm^2

Step-by-step explanation:

Given data

let the length be L

and the width be w

so

w= x

L=x+8

P= 180cm

P= 2L+2W

180= 2(x+8)+2(x)

180= 2x+16+2x

collect like terms

180= 4x+16

180-16= 4x

164= 4x

x= 164/4

x=41

W= 41cm

L= 41+8

L= 49cm

A= L*W

A=49*41

A=2009cm^2

Hence the area is 2009cm^2

I NEED HELP AGAIN 4.0

Answers

Answer:

Move the dot at the axis one to the left and one down move the other dot to (7,0)

Step-by-step explanation:

Find the dot at the origin (0,0)

Move it to (-1,-1) which is one unit to the left and one unit down.

Select other dot and place it at (7,0)

Click submit

2(1/2z+ 4)- 0.5

what could this be re written as?

a. z-3.5
b. z+7.5
c. z+8.5
d. 2z+3.5

Answers

B
First simplify whatever is in the parenthesis, do 2 times 1/2 and 2*8, which equates to z+8-0.5. Simplify further by subtracting 0.5 from 8 and you get z+7.5

Answer:

B. z+7.5 is the answer I chose


Evaluate y + (x2 + y) when x = 0.4, y = 3, z =

Answers

Answer:

6.16 is the answer

Step-by-step explanation:

3 + (.4^2 + 3)

3 + 3.16

6.16

Guys help please I need this done in like 5-10 mins I will mark u brainliest please

Answers

Answer:

HI

Step-by-step explanation:

U got this (:

Answer:

1/4

Step-by-step explanation:

rise=y        it takes him 4 minutes to run 1 km   so rise over run would be  1//4

run=x

and him running 1 minute is half a meter

or do you need slope fomula

this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest

In Geometry, which kind of reasoning is used in proving theorems? Inductive or Deductive Reasoning? Why?

Answers

Answer:  

Inductive

Step-by-step explanation:

Because our conclusion is based on facts, the conclusions reached by deductive reasoning are correct and valid.

(5x^2-4X + 7) - (4x + 2)

Answers

5x’2-4x+7-4x-2
We add the two 4
5x’2-8x+7-2
5x’2-8x+5
The answer is
5x’2 -8x +5

PLS HELP WILL MARK BRAINLIEST !!!!!!

Which of the following variables is most commonly graphed on a line graph?
distance
time
speed
size

Answers

Answer:

If these are answer choices, i believe the correct answer is B, time.

Step-by-step explanation:

Answer:

It's Time

Step-by-step explanation:

A running race follows a triangular course. The first leg of the race is in a straight line, covering 4.4km. Runners turn an angle of 79 deg for the second leg, and then turn again 77 deg to head back to the start line to finish the race. What is the length of the entire race, to the nearest tenth of a kilometer?

Answers

Answer:

The length of the entire race is 9,5km

Step-by-step explanation:

Required

Determine the length of the race.

To aid my explanation, I have added an attachment which shows the triangular course.

From the attachment, we have:

A as the starting point and the following measurement;

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]

[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]

[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]

[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]

[tex]\angle A = 77^{\circ}[/tex]

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 92^{\circ[/tex]

[tex]c = 4.4km[/tex]

Apply sine rule

[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Split to solve for a and b

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Make a the subject

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]a = 4.403 * sin(77^{\circ})[/tex]

[tex]a = 4.403 * 0.9744[/tex]

[tex]a = 4.3km[/tex]

Make b the subject

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

[tex]b = 4.403 * sin(11^{\circ})[/tex]

[tex]b = 4.403 * 0.1908[/tex]

[tex]b = 0.8km[/tex]

The length of the race is:

[tex]Length = a + b + c[/tex]

[tex]Length = 4.3km + 0.8km + 4.4km[/tex]

[tex]Length = 9.5km[/tex]

2x2– 21x = 11 what would the x be

Answers

Answer:

x = -1/3

Step-by-step explanation:

The X would be -1.7

Find the area of the triangle... HURRRY PLZ HELP HELP HELP. ILL MARK BRAINLYIST THINGY

Answers

Answer:

38.25

Step-by-step explanation:

A = 1/2(8.5)(9)

Answer:

[tex]38.25 mm^{2}[/tex]

Step-by-step explanation:

Area of a triangle = 1/2bh

b = 8.5

h = 9

1/2(8.5)(9) = 38.25

On a map the distance between Juneau and Fairbanks is 5 inches. The approximate distance is 625 miles. The distance between Denver and Fairbanks is 19.5 inches on the same map. What is the approximate distance from Denver to Fairbanks to the nearest mile?

Answers

Answer:

The answer for this question is 2,437.5 or rounded 2,438.

Step-by-step explanation:

5 goes into 19.5, 3.9 times to get that take 19.5÷5 to get 3.9. Then take 625×3.9 to get the total of 2,437.5 miles for your answer.

Answer:

Step-by-step explanation:

jhghgjhjgjjhgghghghgbhbjhbhvgjhgygyguygygyugglygygluyglygyggylgyugyygygygygygugyggyghjghgkygkhghgjkghhgghgghgggghghhghghghghghhgghghghghghghghgghghghghjhgjggjghghjgggghhhghggjkgkjghjjghkghjkggkghjggkhghgkhghkjghjghghjkgjhkgjhhjghgkhghgkjghjgjkhhjhhghgkjgghjj.

What is 5n = 185 what’s the n=__?
249 = 3y y=__?
-6w = 354 w=__?

Answers

1. n = 37

isolate n by dividing both sides by 5

2. y = 83

isolate y by dividing both sides by 3

3. w = -118

isolate w by dividing both sides by -6

15. Which of the following systems represent the graph shown?

A) 2x + 3y < 6
-x + y > -4

B) 2x + 3y _> 6
-x + y _> -4

C) x + y >_ 4
2x - 3y <_ 6

D) x + y > 4
2x - 3y < 6

Answers

A) it my lucky letter you got this

I need help please):

Answers

Answer:

7) x = 5

8) x = 10

Step-by-step explanation:

7) 2x-3=x+2

x=5

8) 4x=2x+20

2x=20

x=10

can anyone help with this???

Answers

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?

Answers

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

Please help due today

Answers

Answer:

14 miles

Step-by-step explanation:

3 + 4 + 3 + 4 = 14

Two parallel lines are cut by a transversa

Answers

What is the question?

evaluate the following expression 10x(-9+(-6))

Answers

Answer:

-150x

Step-by-step explanation:

math help please (question 2)

Answers

x>_0 y>_-4 your domain is the opposite of whats inside of the radical, in this case it’s zero but if the number was -5 you would say x>_ 5. Your range is whatever number is in the back, which is negative 4. But you have to pay attention, if there is a negative before the radical your range will be y<_ the number. But here, there isn’t a negative sign in the front of the radical so it’s just y>_ -4.

PLEASE HELP I WILL GIVE BRAINALIST!!!!

AB contains points (4, 2) and (−1, −8). What is the equation of the line parallel to AB that contains point (0, 5)?

Answers

9514 1404 393

Answer:

  y = 2x +5

Step-by-step explanation:

We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -2)/(-1 -4) = -10/-5 = 2

__

  y -y1 = m(x -x1) . .  point-slope form of equation for a line

  y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)

  y = 2x +5 . . . . . . . rearrange to slope-intercept form

Do the ratios 20/10 and 4/2 form a proportion? Yes or no

Answers

Answer:yes

Step-by-step explanation:they are equal

Other option
B: 74.9
C: 15.1
D: 15.7

Answers

Step-by-step explanation:

cosine of B = adjacent/hypot

to find hypotenuse use a^2+b^2 = c^2

which is 5 (it's a 3,4,5 triangle so it's easy)

Cosine B= 4/5

HELP ME IT WOULD MEAN A LOT​

Answers

Answer:

123

Step-by-step explanation:

72+51=123

123 - 72 = 51

Answer:

72+51=123

123 - 72 = 51

Step-by-step explanation:

You guessed the height of the building to be 23 feet, but it was actually 35 feet. What was your percent error? Round to the nearest WHOLE percent
please round to WHOLE

Answers

The percent error is 34.28 %.
Hope this helps! Be safe out there.

Answer:

34%

Step-by-step explanation:

35 - 23 = 12, so the guess is off by 12/35.

To find the percentage, divide 12 by 35, which is approximately 34%.

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