A new car is purchased for 23900 dollars. The value of the car depreciates at 9.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 6000 dollars?

Answers

Answer 1

9514 1404 393

Answer:

  14.2 years

Step-by-step explanation:

The value is described by the exponential function ...

  y = (initial value)·(decay factor)^x

where y is the value after x years.

The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...

  6000 = 23900·0.9075^x

  6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900

  log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms

  x = log(6000/23900)/log(0.9075) ≈ 14.2396

It will be about 14.2 years until the value of the car is $6000.

A New Car Is Purchased For 23900 Dollars. The Value Of The Car Depreciates At 9.25% Per Year. To The
Answer 2

Answer:

14.2

Step-by-step explanation:


Related Questions

An animal shelter has a ratio of cats to dogs that is 9 to 7. If the shelter has 18 cats, how many dogs would it have?

Answers

Answer: 14 dogs

Step-by-step explanation:

Given

The ratio of cats to dogs is 9:7

The shelter has 18 cats

Suppose shelter has x dogs

[tex]\Rightarrow \dfrac{9}{7}=\dfrac{18}{x}\\\\\Rightarrow x=\dfrac{18\times 7}{9}=14\ \text{dogs}[/tex]

What is the value of x?

Answers

Answer:

x=12

Step-by-step explanation:

All of the arcs have central angles.

Arc UR central angle is 10x.Arc RS central angle is x+61Arc ST central angle is x+63Arc TU central angle is x+80.

Since an arc's central angle measure equal the arc measure,

Arc UR measure 10xArc RS measure x+61Arc ST measure x+63Arc TU measure x+80

A circle measures 360 degrees so all the arcs added up will equal 360

[tex]10x + x + 61 + x + 63 + x + 80 = 360[/tex]

[tex]13x + 204 = 360[/tex]

[tex]13x = 156[/tex]

[tex]x = 12[/tex]

Please solve! 20 points!

Answers

The volume of figure A is 18 cu ft

Hope this is right for y’a :)

While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off
coupon. Which statement correctly summarizes her savings?

Answers

It seems most likely that ...

... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction

_____

In the real world, it seems probable that Samantha will be offered the choice of using the coupon or the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.

The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.

Answer:

The answer is B. (Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction.)

Step-by-step explanation:

I just took the test! Gl<3

(ख) अर्धव्यास 'a' भएको वृत्तको परिधि निकाल्ने सूत्र लेख । Write
down the formula for finding the circumference of a
circle with radius 'a'.
( (Ans: 2tta)
ATT
10pmलालाटा
AT​

Answers

Answer:

i cant undersand!

Step-by-step explanation:

Alexa wants to purchase some new supplies for making jewelry

Answers

Answer:

B A A

Step-by-step explanation:

Need help Pls answer if you know.....

Nancy wants to be a bird seed mix in her birdfeeder. The mix is 30% wild bird seed and 70% sunflower seeds. Her bird feeder can hold 12 cups of bird seed. How much wild bird seed does she need to fill the birdfeeder?

Answers

Answer:

3.6 cups of wild bird seed

Step-by-step explanation:

30% x 12 cups

12 * .3

= 3.6

Identify the pair of congruent corresponding angles and the corresponding sides.

Answers

angle m, angle n, angle p, mn, pn, pm

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 3 to the power 6/5


The expression above can also be written in the form c√a^b.
For this expression, a = , b = , and c =
.

Answers

Answer:

For this expression, a = 3, b = 6, and c = 5.

Step-by-step explanation:

For the given expression, a = 3, b = 6, and c = 5.

We have given that,

Type the correct answer in each box. Use numerals instead of words. If necessary, use for the fraction bar(s). 3 to the power 6/5.

The expression above can also be written in the form c√a^b.

We have to determine the,

For this expression, a = , b = , and c =

What is the expression?

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols. The expression consists of unknown variables.

For this expression, a = 3, b = 6, and c = 5.

To learn more about the expression visit:

https://brainly.com/question/9752655

#SPJ2

Factor the polynomial: x^5 - x^9

Select one:
a. x^5(x^4 - x)
b. x^5(1 - 4x)
c. x^5(1 - x^4)
d. x^5(x^4 - 4x)

Answers

x^5(x^2+1)(x+1)(-x+1)

1. Find the mean, median, and mode of each set of numbers.
a) 13 kg, 71 kg, 95 kg, 62 kg, 29 kg, 25 kg, 31 kg, 40 kg

Answers

Mean is 45.75

add them up and divide by the number of numbers there are

There is no mode

that means most occurring

Median is 35.5

add them up Least to greatest the one or two in the middle take the two add them and divide by 2

10.
Find the slope of the line.

A. 3

B. [tex]-\frac{1}{3}[/tex]

C. –3

D. [tex]\frac{1}{3}[/tex]

Answers

Answer:

The slope of the line 3.

Step-by-step explanation:

The line is going through 3.  Although it is not -3, because if the line is sloping upward from left to right, then the slope is positive (+). If the line is sloping downward from left to right, the slope is negative (-).

Answer:    The answer is either letter A or letter D

0

Hint 1: Find the direction cosines of AB and BC. Then take their dot product. This will give the cosine of the angle between AB and BC.

Hint 2: The Direction Cosines of PQ, P(x1,y1,z1) and Q(x2,y2,z2), are (±x2−x1(x2−x1)2+(y2−y1)2+(z2−z1)2√,±y2−y1(x2−x1)2+(y2−y1)2+(z2−z1)2√,±z2−z1(x2−x1)2+(y2−y1)2+(z2−z1)2√)

Edit: The Dot Product works iff the lines intersect.

B is the intersect point , doesn't matter if it's in 2D or 3D – Ali Apr 28 '18 at 5:52

0

Lines in dimension three do not have to intersect. We find their direction vectors to see if they are parallel.

Note that

AB→=<x2−x1,y2−y1,z2−z1>

and

BC→=<x3−x2,y3−y2,z3−z2>

These vectors are the direction vectors are your lines.

The dot product

AB→.BC→

along with the norms of these vectors determine the angle between the lines if they intersect at all.

cosθ=AB→.BC→||AB||.||BC||

Step-by-step explanation:    This is for the picture

Center:  (0, 0)

Width:  10

Angle:  0 rad

Height:  6.8

Opacity:  1

Which of these equations has no solution?
A. m = 0
B. m = m
C. 2m + 1 = m – 2
D. m + 4 = m – 4

Answers

Answer:

The answer is D on edge

Answer:

Yeah it's D.

Step-by-step explanation:

The person above me is right.

HELP?!!!!!!!!!!! I need help

Answers

i’m pretty sure it’s B
B because the use of the semi colon eliminates a lot of unnecessary “ands” in the sentence, making it the most compact and concise.

(not an expert btw, just tryna help)

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 620 babies were​ born, and 341 of them were girls. Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born. Based on the​ result, does the method appear to be​ effective?

Answers

Answer:

Based on the confidence interval, the method appears to not bring expected results

Step-by-step explanation:

The given parameters are;

The number of babies in the study, n = 620 babies

The number of girls in the study sample = 341 girls

The proportion of girls in the study sample, [tex]\hat p[/tex] = 341/620 = 0.55

At 99% confidence level, we have the critical z = 2.576;

The confidence interval is given by the following formula;

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]

Plugging in the values of the variables, we get;

[tex]CI=0.55\pm 2.576\times \sqrt{\dfrac{0.55 \times (1-0.55)}{620}} \approx 0.55 \ \pm 5.14680 \times 10^{-2}[/tex]

Therefore, 0.498532 < p < 0.601468

Based on the result of the confidence interval, we can be 99% sure that the true mean is between 0.498532 and 0.601468, therefore, given that the range includes a true mean of 0.5 or 50% probability of conceiving a girl, which is the percentage predicted by genetics, the method appears ineffective

Parallel Lines

How do you know two lines are parallel?

Determine if any of the sets of lines are parallel. Justify your answer.
Line a passes through (-2, 4) and (3, 14).
Line b passes through (7, 2) and (-1, 3).
Line c passes through (3, 1) and (0, -5).

Line a: y= -13x+4
Line b: 3x-y=7
Line c: 6x + 2y = 12

Write the equation of the line parallel to x+4y = 6 that passes through the point (4, -8).

Answers

How do you know two lines are parallel?:

if the lines were to continue forever they would NEVER EVER touch they would just go STRAIGHT like train tracks

Your friend incorrectly factors the expression 15x - 20xy as 5x (3 - 4xy). What error did your friend likely make?

A. Your friend did not factor the variable from the second term.

B. Your friend did not have the correct operation inside the parentheses.

C. Your friend did not factor the variable from the first term.

D. Your friend did not simplify the terms inside the parentheses.

Answers

Answer:

A. Your friend did not factor the variable from the second term.

Step-by-step explanation:

15x - 20xy

Your friend was correct in factoring out 5x. However, when you factor out a component from an expression, you have to change each component in the expression.

This means that factoring out 5x will result in: 5x(3 - 4y).

Therefore, your answer is:

A. Your friend did not factor the variable from the second term.

Hope this helps!

Lisa wants to buy a snowboard that is on sale for 30% off the original price of $180. If the sales tax in Lisa's state is 6%, how much will Lisa pay for the snowboard?

Answers

Answer:

$133.56

Step-by-step explanation:

Multiply 180 and .3 and then subtract that number with 180

you should then get 126

multiply 126 by .06 you should get 7.56

Finally add 126 and 7.56 you should get your final price of 133.56

A statement that contains = to compare two expressions is a

Answers

Answer:

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement. To achieve our goal, we use two principles of equality, the addition principle and the multiplication principle.

Find the area of each shaded region in each figure.

Answers

Answer:

Step-by-step explanation:

Area of Yellow Rectangle

Area = L * W

Area = 25 * 11

Area = 275

Area of Parallelogram

Area = Base * height

Area = 12 * 4

Area = 48

Area of shaded area

Area = rectangle - Parallelogram

Area = 275 - 48 = 227 square feet

Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble?

Answers

Answer:

120

Step-by-step explanation:

Blue marbles = 2

Red marbles = 3

Total marbles = 2 + 3 = 5

If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :

P(drawing a blue marble) = number of blue marbles / total number of marbles

= 2 /5 = 0.4

Predicted number of times blue is drawn in 300 selections :

300 * 0.4 = 120

Approximately 120 times

Me he gastado, primero, la mitad de lo que llevaba, despues, la mitad de lo que me quedaba. Que fraccion del total me he gastado

Answers

Answer:

Me ha quedado una cuarta parte de la cantidad inicial, es decir, me he gastado tres cuartas partes de la cantidad inicial comprando crustácea importada en la pescadería y marisquería.

Step-by-step explanation:

Asumamos que hacemos la compra en una pescadería y marisquería. Si la razón inicial equivale a 1, gasta inicialmente la mitad de la razón inicial, luego gasta la mitad de la razón resultante. El gasto se entiende como una forma de sustracción mientras que la sucesión como una multiplicación. Por consiguiente, tenemos el siguiente producto:

[tex]c = \left(1-\frac{1}{2} \right)\cdot \left(1-\frac{1}{2} \right)\cdot c_{o}[/tex]

[tex]c = \frac{1}{4}\cdot c_{o}[/tex]

Donde [tex]c_{o}[/tex] es la cantidad inicial.

Me ha quedado una cuarta parte de la cantidad inicial, es decir, me he gastado tres cuartas partes de la cantidad inicial comprando crustácea importada en la pescadería y marisquería.

can someone please help I’m trying to get my grades up it’ll be greatly appreciated

Answers

Answer:

A. 4

B. 8

Step-by-step explanation:

Product Rule states: keep the base the same and do this to the exponents. Your
A). answer
B). multiply
C). subtract​

Answers

Answer: B multiply

Step-by-step explanation:

A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.

Answers

Answer:

73.67

Step-by-step explanation:

Complete the Square
x2 + 10x +

Answers

Answer:

( + 10)

Hope this helps you out

find the missing side lengths and it's converse​

Answers

Answer:

x  ≈ 10.7 ft.

Step-by-step explanation:

Given triangle in the picture is a right triangle.

By applying Pythagoras Theorem in this triangle.

(Hypotenuse)² = (Leg 1)² + (Leg2)²

(14)² = x² + 9²

x² = (14)² - 9²

[tex]x=\sqrt{196-81}[/tex]

[tex]x=\sqrt{115}[/tex]

x = 10.72

x  ≈ 10.7 ft.

Rewrite the following without an exponent.
(8/5) -1

Answers

Answer:

5/8.

Step-by-step explanation:

a^-1 = 1/a

So here we have:

(8/5)^-1

= 1/ (8/5)= 5/8.

Evaluate
( 2/10 ) ^3

1. 1/5
2. 6/30
3. 8/1,000

Answers

Answer:

3. 8/1,000

( I hope this was helpful) >;D

Where would you place 5/8?
A.) integers, rational numbers, and real numbers
B.) Irrational numbers, real numbers
c.) whole numbers, integers, rational numbers, real numbers
D.) rational numbers, real numbers

Answers

Answer:

Option D

Step-by-step explanation:

Fractions are considered to be rational numbers because they are decimals that can be written as a fraction and since it's already wrote as a fraction but can be converted back to a decimal it is a rational number. The fraction is considered to be a real number because all rational numbers are real numbers and since we just proved that 5/8 is a rational number it is therefore a real number. Which means your answer is option D or "rational numbers, real numbers."

Hope this helps.

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