Sofia purchased a new car in 2007 for$34,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $16,200 in the year 2014, then what would be the predicted value of the car in the year 2021, to the nearest dollar?

Answers

Answer 1

Answer:

$7,718

Step-by-step explanation:

Given that :

Cost of car in 2007 = $34000

Cost of car in 2014 = $16200

Predicted value of car in 2021

Lets obtain the percentage Depreciation (d) :

Worth (A) of car in 2014 = $16200

Time (t) = 2014 - 2007 = 7 years

Initial cost (I) = price in 2007

A = I(1 - d/100)^7

16200 = 34000( 1 - d/100)^7

16200 = 34000(1 - 0.01d)^7

(16200/34000)^1/7= 1 - 0.01d

0.8995 = 1 - 0.01d

0.01d = 1 - 0.8995

d = 0.1005 /0.01

d = 10.05

Value of car in year 2021:

t = 2021 - 2007 = 14 years

A = I(1 - 10.05/100)^14

A = 34000(1 - 0.1005)^14

A = 34000(0.8995)^14

A = 34000 * 0.2269950

A =7717.83100

Approximate worth = $7718

Answer 2

Answer: 7719

Step-by-step explanation:


Related Questions

If the converse statement, “If practice is cancelled, then I will be home for dinner” is true, which other statement must also be true?

A.) If I will be home for dinner, the practice is cancelled.
B.) If I will not be home for dinner, then practice is cancelled.
C.) If I will be home for dinner, then practice is not cancelled.
D.) If I will not be home for dinner, then practice is not cancelled.

Answers

Answer:

D.) If I will not be home for dinner, then practice is not cancelled.

Step-by-step explanation:

Answer:

D.) If I will not be home for dinner, then practice is not cancelled.

Step-by-step explanation:

how many 1/4 pound bags of candy can be made from box containing 12 1/2 POUNDS

Answers

Answer:

50

Step-by-step explanation:

12.5*4=50

Can someone help me?

Answers

Angle ACB is congruent to angle ACI so that would be option A
:)

will mark BRAINLIESTT

Answers

Answer:

2.5

Step-by-step explanation:

16-13.50

Answer:

Muffins: $1.50

Bagels: $1.00

Step-by-step explanation:

Ight, so this is a system of equation. Let's find the variables first.

m = amount of muffins

b = amount of bagels

4b + 8m = 16

6b + 5m = 13.50

Any questions let me know! Hope this helps and have a great day!

Please write an addition statement that is equivalent to 49 ÷ -7

Answers

Answer:

84 ÷ -12 = -7

21 ÷ -3 = -7

Step-by-step explanation:

49 ÷ -7 = -7

Means that __ ÷ __ must equal -7

There are many options, here are a few:

84 ÷ -12 = -7

or -84 ÷ 12 = -7

21 ÷ -3 = -7 etc

The wholesale price of a flower arrangement was $60 and the flowers were marked up 30%.

Finish the diagram to find the retail price.

100 percent is a 60 dollars wholesale price, 30 percent markup is a, and retail price is b.

Answers

Step-by-step explanation:

I couldn't put this full page.

Thankfully I found the answer

Answer:

A would be 18$ and B would be 78$

Step-by-step explanation:

i took this on edge

hope this helps <3

bye

(PLEASE ANSWER!) Two distinct lines, L and M, are each perpendicular to the same line N. What is the measure of the angle where line L meets line N? What is the measure of the angle where line M meets line N?

Answers

Answer:

90 and 90

Step-by-step explanation:

If they are perpendicular it means they cross at a 90 degree angle so since both L and M are perpendicular to N both the answers would be 90

Hope This Helps :)

The measure of the angle where line L meets line N is 90° ;

and the measure of the angle where line M meets line N is 90°.

What are perpendicular lines?

In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Now it is given that,

Two distinct lines, L and M, are each perpendicular to the same line N.

Line L is perpendicular to line N.

Since angle between two perpendicular lines =  90°.

So, angle between line L and line N = 90°

Similarly, Line M is also perpendicular to line N.

Therefore, angle between line M and line N = 90°

Thus, The measure of the angle where line L meets line N is 90° ;

and the measure of the angle where line M meets line N is 90°.

To learn more about angles :

https://brainly.com/question/13524681

#SPJ6

Find the slope between these two points:



(-5,3) and (4,6)

Answers

Answer:

1/3

Step-by-step explanation:



[tex] {x}^{4} - 6 {x}^{3} + 22 {x}^{2} - 48x + 40[/tex]
find the zeros​

Answers

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

Cecily’s teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart shows the scrolls picked by Cecily and her friends. Name Paper Scroll( Cecily A scroll labeled 6.7. Marty A scroll labeled negative 37. Jon A scroll labeled StartFraction 7 Over 9 EndFraction Fiona A scroll labeled 3 and one-third).

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

"Mr. Mollica's bank automatically deducts a $4 monthly maintenance fee from his savings account. Write a multiplication expression to represent the maintenance fees for one year. Then find the product"
-I don't understand this math problem ​

Answers

9514 1404 393

Answer:

  $4(12)

  $48

Step-by-step explanation:

The problem is telling you fees are $4 per month. It is asking the amount of fees for a year.

You find the yearly amount by multiplying the monthly amount by the number of months in a year:

  (fees for year) = (fee for month)×(number of months in a year)

All it is asking for is the product expression:

  $4 × 12

__

And for the product:

  $48

PLEASE HELP !!!!!!!!!! WILL FOLLOW


what fraction of girls neither have blue or brown eyes​

Answers

Answer:

1/12

Step-by-step explanation:

2/3=8/12

2x4=8

3x4=12

1/4=3/12

1x3=3

4x3=12

8/12+3/12=11/12

1-11/12= 1/12

2x+8=-6x-(-16)
what is x

Answers

Answer:

1

Step-by-step explanation:

2x + 8 = -6x -(-16)

2x + 8 = -6x + 16

8x = 8

x = 1

Plz help me pls I need help fast

Answers

where’s the question

five more than 3 times a number

Answers

Answer:

3x+5

Step-by-step explanation:

Let number =X

So

Five more than 3 times a number

3x+5

it is 3x+5 ! hope this helps love have a great day

Suppose a box contains 3 defective light bulbs and 9 good bulbs. Three bulbs are chosen from the box without
replacement. What is the probability that at least one of the bulbs drawn is defective?

Answers

Answer:

1/4

Step-by-step explanation:

3+9=12

12/3=4

1. 3(6a); for a=3
2. 5d(4); for d=-2​

Answers

Answer:

Step-by-step explanation:

1. Solution for 3(6a)a=3 equation:

Simplifying

3(6a) * a = 3

Remove parenthesis around (6a)

3 * 6a * a = 3

Multiply 3 * 6

18a * a = 3

Multiply a * a

18a2 = 3

Solving

18a2 = 3

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Divide each side by '18'.

a2 = 0.1666666667

Simplifying

a2 = 0.1666666667

Take the square root of each side:

a = {-0.408248291, 0.408248291}

2.Solution for 5d(4)d=-2 equation:

Simplifying

5d(4) * d = -2

Reorder the terms for easier multiplication:

5 * 4d * d = -2

Multiply 5 * 4

20d * d = -2

Multiply d * d

20d2 = -2

Solving

20d2 = -2

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Divide each side by '20'.

d2 = -0.1

Simplifying

d2 = -0.1

Reorder the terms:

0.1 + d2 = -0.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0

0.1 + d2 = 0.0

Angie paid $66.50 for 3.5 yards of fabric. What is the price of 1 yard of fabric?

Answers

Answer:

$19

Step-by-step explanation:

First you need to make a equation out of given information and this will be easiest to solve as an equation.

3.5      $66.50

1               x

-----------------------

3.5:1=66.50:x

3.5x=66.50/:3.5

x=19

On the right side you put one information(in this case number of yards) and on the left other information(cost) and you make proportion from up to down and solve for x.

Find the slope of the line through the points (−3, 1) and (−1, 5)
PLZZZ HELPPPP

Answers

Answer:

2

Step-by-step explanation:

We can find the slope using the formula

m = ( y2-y1)/(x2-x1)

   = ( 5-1)/( -1 - -3)

   = ( 5-1)/( -1+3)

   = 4/2

   = 2

Answer: 2

Step-by-step explanation:

( y2-y1)/(x2-x1)

  = ( 5-1)/( -1 - -3) =  ( 5-1)/( -1+3) = 4/2  = 2

so ive been trying to figure this out but i cant!

Answers

Answer:

This is a linear graph.

Step-by-step explanation:

Since the x values increase at a constant of 1. The y-values have a 1st difference of -4 which means the graph is linear.

i think it is y=-4x+-3

At Brunswick Elementary school, 2/5 of six-grade students have at least one pet. If school has 181 sixth graders, about how many sixth graders own pets?

Answers

Answer: 72.4

Step-by-step explanation:

Fraction of six-grade students that have at least one pet = 2/5

Number of sixth graders at Brunswick Elementary school = 181

The number of sixth graders that own own pets will be:

= 2/5 × 181

= 72.4

The sum of three consecutive numbers is 39. What is the smallest of these numbers?

Answers

Answer:

12

Step-by-step explanation:

Consecutive so we can make this function

(x)+(x+1)+(x+2)=39

3x+3=39

3x=36

x=12

What is the slope of this line

Answers

Answer:

3/4

Step-by-step explanation:

you start at the y-intercept or 1 and move 4 to the right, then 3 up.

Answer:

3/4 is the slope

Step-by-step explanation:

rise over run

go up 3 and over 4 to find where the line plots its next point

Hope this Helps :)

Can someone help me please
I’ll mark brainliest

The rate of change is $__mile

Answers

Answer:

28000 $

Step-by-step explanation:

hope enjoy your day

Answer:

.18

Step-by-step explanation:

Use slope formula

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

substitute the points given into formula

(8000,1400) and (18000,3200)

x1 y1 x2 y2

[tex] \frac{3200 - 1400}{18000 - 8000} [/tex]

solve and you get .18

What's your favorite color and why?
have to create graph for math class

Answers

Answer:

blue

Step-by-step explanation:

love the sky

Answer:

Pink

Step-by-step explanation:

Because it’s pretty and makes me feel at ease

Stretch y=6x by a factor of 3

Answers

Answer:

If my memory serves me correctly, then you just have to multiply the variable 3 by whatever number you are facorting it by, in this case 6 and 3.

So, the answer would be y = 18x

May I have brainliest please? :)

If Y (-7,-4) and (5,2), find the slope of a line perpendicular to YZ. Please help if you can

Answers

Answer:

-2

Step-by-step explanation:

The slop of YZ is 1/2. The slope perpendicular would be opposite, making it -2.

Answer:

- 2

Step-by-step explanation:

Calculate the slope m of YZ using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = Y(- 7, - 4) and (x₂, y₂ ) = Z(5, 2)

m = [tex]\frac{2+4}{5+7}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

What is the fraction in decimal form? 8/50 Enter your answer in the box. Please help​

Answers

Answer:

8/50 = 0.16

Step-by-step explanation:

Answer:

0.16

Step-by-step explanation:

Hope this helps have a nice day:)))

if anils hieght was 150cm and amans height was 100cm then the ratio of their heights would be​

Answers

Answer:

3/2 or 150%

Step-by-step explanation:

150:100 = 150/100 = 15/10 = 3/2

In other words, 150%

help me with this fast

Answers

Answer: delete this please

Answer:

For 60: 120

For 65: 115

For 55: 125

( I mean I could be wrong but thats what I got)

Step-by-step explanation:

Other Questions
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