A car with an initial cost of $33,000 is decreasing in value at a rate of 7% each year. Write the exponential decay function to determine when the value of the car will be $15,000 to the nearest year

Answers

Answer 1

Answer:

n= 11.65 years

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $33,000

Future Value (FV)= $15,000

Decrease rate (d)= 7%

To calculate the number of years it will take to reach $15,000; we need to use the following formula:

n= ln(FV/PV) / ln(1+d)  

n= ln(15,000/33,000) / ln(1.07)

n= 11.65 years


Related Questions

Solve for x. please i need know

Answers

Answer:

x = 18

Step-by-step explanation:

Vertically opposite angles are equal.

x + x + x + 90 = 144

         3x + 90 = 144  

Subtract  90 from both sides

                 3x = 144 - 90

                 3x = 54

Divide both sides by 3

                   x = 54/3

x = 18

The world famous gambler from Philadelphia, Senor Rick, proposes the following game of chance. You roll a fair die. If you roll a 1, then Senor Rick pays you $25. If you roll a 2, Senor Rick pays you $5. If you roll a 3, you win nothing. If you roll a 4 or 5, you must pay Senor Rick $10, and if you roll a 6, you must pay Senor Rick $15. Is Senor Rick loco for proposing such a game? Explain.

Answers

Answer:

You lose $0.833 while Rick gains $0.833, and so Rick is not Loco

Step-by-step explanation:

There are six numbers on a dice. Thus, probability of rolling exactly one number = 1/6

Probability of rolling two is 2/6.

Rolling a 1 pays $25, and probability = 1/6

Rolling a 2 pays $5,and probability = 1/6

Rolling a 3 pays $0, and probability = 1/6

Rolling a 4 or 5 pays -$10, and probability = 2/6

Rolling a 6 pays -$15, and probability = 1/6

Thus,lets calculate the expected value;

EV = (25 × 1/6) + (5 × 1/6) + (0 × 1/6) + (-10 × 2/6) + (-15 × 1/6)

EV = - $0.833

This means you lose $0.833 while Rick gains $0.833, and so Rick is not Loco.

Which statement is true?
Question 19 options:

A)

|–3| = 3 and –|–4| = –4

B)

|–3| = 3 and –|4| = 4

C)

–|3| = 3 and |4| = 4

D)

|–3| = 3 and |–4| = –4

Answers

Answer:

the first one is true and not sure 100% that the others are false all

A carpet costs $5 per square meter
and underlay costs $3 per square
meter. A bedroom measures 7m by
8m. How much will it cost to carpet
and underlay the entire room?



Y’all help me

Answers

Answer:

448

Step-by-step explanation:

Fig. A shows a paper cup in the shape of an inverted right circular cone. Its base radius is 4 cm and its slant height is 8.5 cm.

(a) Find the capacity of the paper cup.

(b) The paper cup is cut along PQ to form the sector in Fig. B. Find
(i) the area of the sector,
(ii) the angle of the sector.

(a)
Height of the cup
= [tex]\sqrt{ {8.5}^{2} - {4}^{2} }[/tex]
= 7.5 cm
The capacity of the cup
= [tex] \frac{1}{3} \times \pi \times {4}^{2} \times 7.5[/tex]
= 126 cm³ (cor. to 3 sig. fig.)

(b)(i)
The area of the sector
= [tex]\pi \times 4 \times 8.5[/tex]
= 107 cm² (cor. to 3 sig. fig.)

Can you help me for (b)(ii)?​

Answers

9514 1404 393

Answer:

  16π/17 radians ≈ 169.41°

Step-by-step explanation:

The arc length of the sector is the circumference of the cone:

  C = 2πr = 2π(4 cm) = 8π cm

The angle and arc length are related by ...

  s = rθ . . . . . θ in radians

  8π cm = (8.5 cm)θ

  θ = 8π/8.5 = 16π/17 . . . . radians

bii) The angle of the sector is 16π/17 radians ≈ 169.41°.

Answer:

169° (3sf)

Step-by-step explanation:

the area of a circle multiplied by the angle over 360 gives you ans.

x/360 × π × r²=34π -> ur ans frm part i

x × π(8.5²)=12240π

x × 72.25=12240

x=169.41°

show all steps solving this 2x^2=13x+7

Answers

Answer:

x = -1/2, 7

Step-by-step explanation:

2x^2 = 13x + 7

bring everything to one side: 2x^2 - 13x - 7 = 0

factor it out: 2x1 = 2 and -7x1 = -7.

-7x2 = -14 and 1x1 = 1

-14 + 1 = -13, so these numbers work

you end up with (2x + 1)(x - 7) = 0

solve each section:

2x + 1 = 0                         x - 7 = 0

2x = -1                              x = 7

x = -1/2                              

Why do equivalent ratios form a straight line when graphed?

Answers

Answer:

The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edgen

Hailey saved up $357.45 in her Piggy Bank. She decided that she wanted to use $97.99 to buy Roller skates and $50.00 to buy the Glow In the Dark flashing wheels. How much money will Hailey have leftover?

Answers

Answer:

209.46

Step-by-step explanation:

subtract $357.45, $97.99, and $50 and

you'll get $209.46

Graph the following:

A) y=2|x|+3

B)y=2|x|+3

C)y=|2x-3|

D)y=|2x-6|

And find the zero points

Answers

Use math w*y to find these answers. It will be easier especially since it shows the graph

Plz help me. Giving branliest

Answers

Answer: im not sure about this but I’ll try

24 because if you look at the side that says 12mi And then look at the side withe the x where they are both standing which says 48 and 72 are really similar wand looks like they have the same distance so you can add 12 + 12 and is 24 miles

Step-by-step explanation:

It is 2.04 and 3.71 now subtract it

Is [tex]\pi /2[/tex] the same as [tex]0.5\pi[/tex] ?

Answers

Answer:

Step-by-step explanation:

π/2= 1.5707963267948966192313

0.5π = 1.5707963267948966192313

The correct answer is same

Answer:

yes both are same

both have same answer

hope it is helpful to you

(x+2)·2x + (x-1)^2= 2 ?

Answers

Answer:

x = 1/3, x = -1.

Step-by-step explanation:

2x(x + 2) + (x - 1)² = 2

Distribute the 2x into x + 2.

2x² + 4x + (x - 1)² = 2

Square (x - 1).

2x² + 4x + x² - x - x + 1 = 2

Combine terms.

2x² + x² + 4x - 2x + 1 = 2

Combine terms again.

3x² + 2x + 1 = 2

Subtract 2 from both sides.

3x² + 2x - 1 = 0

Factor.

(3x - 1)(x + 1) = 0.

Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.

3x - 1 = 0

Add 1 to both sides.

3x = 1

Divide by 3.

x = 1/3.

x + 1 = 0

Subtract 1 from both sides.

x = -1.

Answer:

3x^2+2x+1 primero lo multiplicas y lo que te de lo sumas y asi sacas 3x^2+2x+1

what expressions from the table are equivalent to that expression ?

Answers

Answer:

Step-by-step explanation:

11). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{3\times 2}{5\times 2}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{6}{10}}\times \sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{6}}\times\sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{10}}[/tex]

    = p

    Yes

12). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=\sqrt[5]{p^3} \times \sqrt[10]{p^4}[/tex]

     But, [tex]\sqrt[5]{p^3} \times \sqrt[10]{p^4}\neq \sqrt[3]{p^5}\times \sqrt[10]{p^4}[/tex]

     No

13). Since, [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=p[/tex]

   Simplify the given expression,

   [tex]\sqrt[10]{p^{\frac{23}{5}}}[/tex]

    [tex]\sqrt[10]{p^{\frac{23}{5}}} =p^{\frac{23}{50}}[/tex]

    No.

14). [tex]p^{\frac{12}{50}}=p^{\frac{6}{25}}\neq p[/tex]

    No.

15). [tex]p^{24}\neq p[/tex]

    No.

do the following conditions make a unique triangle more than one triangle or no triangle possible​

Answers

C no rectangle possible

Answer:

No triangle possible.

Step-by-step explanation:

3 + 6 < 10 so no triangle can be drawn with these lengths.

Choose equal less or greater

Answers

Answer:

C is greater

D is less

Step-by-step explanation:

Rotate 90° clockwise about the origin

E = (-3, 3)

F = (-2, -1)

D = (-2, 3)

C = (-1, 4)

Answers

Answer:

e

Step-by-step explanation:

Andy’s goal for the week is to run 19 miles. he ran 6.19 miles between monday and friday. he ran 3.1 miles on saturday. how many more miles should he run on sunday to meet his goal?

Answers

Answer:

9.71 miles

Step-by-step explanation:

total miles he ran = 6.19 + 3.1 = 9.29

Target = 19 miles

Goal for sunday = 19 - 9.29 = 9.71

Hey, would anyone know the answers/correct matchup to this? (USA test prep)

Answers

Answer:

there you go

Step-by-step explanation:

How many numbers are from k to n? (Including k and n.)

*Do not give me a wrong answer, as you may be blocked. Only answer if you know it!

Answers

Answer:

n - k + 1

Step-by-step explanation:

This is assuming (because you did not say) that n and k are integers and n is greater than k.

Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.

Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}

6. Which expression is equivalent to -21 + 28x?

Answers

Solution,
-28x^2+35x
take the common,
-7x(4x-5)
The answer is -7x(4x-5)
Here,
If we solve,
-7x(4x-5)
Then, the answer would be:
= -7x*4x+7x*5
= -28x^2+35x
Hope it helps
Good luck on your assignment

which value for s will make this equation true? s(11-s)=24

answer choices:
8
4
6
5

Answers

8 cause 88-64=24(you have to distribute)

Which statement describes values of x and y such that could be an irrational number?

A. The value of x is zero, and the value of y is an integer less than zero.

B. The value of x Is the square root of an integer, and the value of y is an Integer
greater than zero.

C. The value of x Is an Integer less than zero, and the value of y is an Integer greater than zero.

D. The value of x Is a square root that can be simplified to an Integer, and the value of y is an
Integer less than zero.

Answers

The answer is B

It's not A, C, or D, because they all are stated as integers, which cannot be irrational

A) Work out the size of angle x. B) Give reasons for your answer.

Answers

Answer:

X=105

reason beng corresponding angle

Answer:

75

Step-by-step explanation:

Please help! I will give brainlist!!

Answers

Answer:

31.5

Step-by-step explanation:

Assuming that the lowest point and the highest point on the Ferris wheel are opposite each other, the difference of height will be the distance between the two points, and thus, the distance across fo the Ferris wheel. Divide this value by (2) to find the radius of the strucutre.

75 - 12

= 63

63 / 2

= 31.5

The weight of 4 eggs is shown. Identify the constant of proportionality of total weight to number of
eggs.
The weight of 4 eggs is 188 g

Answers

Answer:

47g

Step-by-step explanation:

a dress is regulary price a $45 thedress is marked down 30 percent what is sale price of the dress

Answers

Answer:

$31.50

Step-by-step explanation:

So first thing, it's necessary to figure out what 30% of 45 is.

You can set this up as an algebraic expression or your can multiple 45 by 3/10 to find out what that 30% is.

The algebraic expression would be 30% of 45 is x.

Using one of these two options; we would discover that 30% of 45 is 13.5.

However, this is not the answer, yet.

The question is looking for the price of the dress after the 13.5 is taken away.

Therefore, you would subtract.

45 - 13.5 = 31.5

Sooooo... your answer is "The sale price of the dress is $31.50."

......help due in a minute

Answers

Answer:

The answer is ''C''

Hope this helps!! Have a great day! <3

Answer: D ( I really don’t have a good explanation for this question.)

Find the mean of the following numbers: 17, 17, 15, 16, 18

Answers

Answer:

Mean: 16.6 | Median: 17 | Mode: 17

Step-by-step explanation:

Jordan sold his used lawn tractor and accessories for $980. If he received nine times as much money for the lawn tractor as he did for the accessories, find how much money he received for the lawn tractor

Answers

Answer: [tex]\$882[/tex]

Step-by-step explanation:

Given

Jordan sold lawn tractor and accessories for [tex]\$980[/tex]

he receives 9 times more money for a tractor than for accessories

Suppose, he receives x amount for accessories

So, for tractor it is [tex]9x[/tex]

total amount is

[tex]\Rightarrow 9x+x=980\\\Rightarrow 10x=980\\\Rightarrow x=\$98[/tex]

He receives [tex]9x=\$882[/tex] for tractor

What would the answer to this question be?
A. 40°
B. 60°
C. 80°
D. 100°

Answers

Answer:

D. 100°

Step-by-step explanation:

A straight line is 180°. Add 50° and 30° (which is 80°) and subtract the total from 180°.

50 + 30 = 80

180 - 80 = 100

Answer:

These angles form a straight line, so they are supplementary angles.

We know that, supplementary angles form 180°.

[tex]50 + x + 30 = 180 \\ 50 + 30 + x = 180 \\ 80 + x = 180 \\ x = 180 - 80 \\ x = 100[/tex]

=> So, the missing angles is 100°

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