Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?

Answers

Answer 1

Given:

The initial value of the car = $75,700

Decreasing rate = 4.3%

To find:

The value of r in the exponential DECAY formula.

Solution:

The exponential decay formula is:

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value, r is the rate of decay on decimal and t is the time period.

The initial value of the car is $75,700 and its value decreases 4.3% annually. So,

[tex]a=75,700[/tex]

[tex]r=\dfrac{4.3}{100}[/tex]

[tex]r=0.043[/tex]

The required exponential decay formula is:

[tex]y=75,700(1-0.043)^t[/tex]

Therefore, the value of r in the exponential decay formula is 0.043.


Related Questions

a pizza has a radius of 2.5 feet what is the circumference of the pizza

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Should be 5pie formula for circumference of a circle is 2 pie R so we just plus in 2.5 for the radias.

Choose the student who combined like terms correctly to write an equivalent expression. 5 + C + C + C -4. Melvin's work Sabrina's work Sudesha's work Zisel's work 5 + C + C + C - 4 5 + C + C + C-4 O 5 + C + C + C - 4 5+ C + C + C - 4 = 90 = 30 +1 = 4c = c + 1 ​

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Answer:

Sabrinas work

Step-by-step explanation:

5+c+c+c-4

5+3c-4

=3c+1

Search up:CNN 10 April 9th 2021
Watch the video give me 10 facts

Side note: Please don’t waste my time I have stuff to do

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Answer:

Jeff Bezos, is Amazon's founder, who's one of the richest people in the world.

The federal government won't require everyone to get vaccinated.

The federal government also won't required everyone in america to carry a passport.

New York recently because the first state to have a cov id passport.

Florida banned the co vid passport.

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Theatres are requiring a passport for the vaccine, due to wanting to fill the audience.

Heinz makes more ketchup than anyone

12 billions ketchup packets will be made this year from h einz, which is enough to reach the moon and back.

astronauts had a lot of ketchup in space

1 hundred and forty miles per hour is reached on the fasted roller coaster according to genius world records.

Step-by-step explanation:

Hope this helps! Plz mark as brainliest!

please help me!!!!!!

Answers

Answer:

(2)

Step-by-step explanation:

mean: (13+15+17+17+17+20+27)/7=18

median: 17

mode: 17

Will give Brainliest please help!!!!!!!!!!!!!!

Answers

Answer:

4⁷

Step-by-step explanation:

Rule of exponents is:

aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾

4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷

Answer:

Step-by-step explanation:

If it's what i think it is, it's answer with letter ABecause main part if same, you just write it again and  exhibitors get collected5+2= 7. I hope i helped you!

fruits are packed in boxes each weighing 2 kg 500 g .how many such boxes can be n loaded kn a van.which can not carry beyond 250kg?​

Answers

Answer:

18

Step-by-step explanation:

Just divided

Please Brainliest me

find the area of the figure drawn on the coordinate plane below​

Answers

Answer:

-24

Step-by-step explanation:

I need help!!! Please Help me

Answers

Answer:

x=-40,0

y=0,15

Step-by-step explanation:

intercepts are points where the graph cuts the axes

Answer:

(- 40, 0 ) and (0, 15 )

Step-by-step explanation:

The x- intercept is the point on the x- axis where the line crosses, then

x- intercept = (- 40, 0 )

The y- intercept is the pont on the y- axis where the line crosses, then

y- intercept = (0, 15 )

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?

Answers

Answer:

Winston would need to sell 14 more hot dogs to earn a total $175

Step-by-step explanation:

Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

119.816

Step-by-step explanation:

Given the data :

123.6, 225.1, 324.8, 422.9, 524.2

Mean absolute deviation (MAD) :

Σ|x - m| / n

m = mean = ΣX / n

n = same size = 5

m = 1620.6 / 5 = 324.12|

[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5

= 119.816

simplify (3x^2 y^5)^4

Answers

Answer:

Step-by-step explanation:

Equation is below

Step 1

(3x^2 y^5)^4  

Step 2

(3x^2 y^5)^4  Simplify

81x^8y^20

Step 3

81x^8y^20  check

Answer

81x^8y^20

Hope this helped

HELP ME WITH THIS PLEASE.
THANKS LOVE U GUYS SO MUCH.

Answers

Answer:

48.

Step-by-step explanation:

1). <C = 74 because it forms a supplemetary angle 180- 106 = 74.

2). We know that the sum of all the angles in a triangle is 180 so we need to add them.

3). 4y + 3y +22 + 74= 180

4). simplify 7y +96=180

5). isolate y so we must subtract 96 from either side.

6). 7y= 84 now divide by 7 on each side. 84/7 = 12.

7). Now we know y = 12 and that angle A is equal to 4y.

8). <A = 4(12) now distrubute

9). <A= 48 degrees

GOD, BLESS!!!

The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What are the mean and standard deviation of the number of universal donors among the 6 people? b) What is the probability that there are exactly three universal donors?

Answers

Answer:

[tex]Mean = 0.36[/tex]

[tex]SD = 0.5817[/tex]

[tex]P(x=3) = 0.003588[/tex]

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

[tex]P(A) = 0.06[/tex]

[tex]n = 6[/tex]

Solving (a): Mean and Standard deviation.

The mean is:

[tex]Mean = np[/tex]

[tex]Mean = 6 * 0.06[/tex]

[tex]Mean = 0.36[/tex]

The standard deviation is:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]

[tex]SD = \sqrt{0.3384}[/tex]

[tex]SD = 0.5817[/tex]

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]

So, we have:

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 0.003588[/tex]

1/3(6z+7.2)=0.5(8z+2)-0.4
A z=0.8
B z=0.9
C z=2.8
D z=3.6
please help

Answers

Answer:

B  z = 0.9

Step-by-step explanation:

1/3(6z + 7.2) = 0.5(8z + 2) - 0.4

Multiply both sides by 6.

12z + 14.4 = 24z + 6 - 2.4

-12z = -10.8

z = 0.9

A computer game company conducts a survey of random sample of customers to determine their favorite type of game. The results of the survey are shown below based on the survey results how many customers are expected to prefer fantasy games out of the 1,000 customers?

Answers

Answer:

1.6% of customers

Step-by-step explanation:

Using the graph as your guide, complete the following statement.
The discriminant of the function is

Answers

Answer:

Positive

Step-by-step explanation:

Both of the roots are real numbers so that means the discrimnat is greater than zero or positive.

If f(x)=x2, which equation represents function g?

A. g(x)=1/3f(x)
B. g(x)=3f(x)
C. g(x)=f(1/3x)
D. g(x)=f(3x)

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I think it’s a because look at your graph if you look closely you can see that the red line is a v and u calculate your dots

solve the equation to find the value of x:

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Answers

Answer = 2.5
5 divided by 2 is 2.5

Find x and y ( please explain )​

Answers

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

PLEASE I NEED HELP FAST! Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU ? If so, show how to find the length. If not, explain why not

Answers

Answer:

ummm there is no picture showing for me

Step-by-step explanation:

HELP ASAP!!!!!! AND NO LINKS!!! The Utah Bees discounts tickets 30% for students 14 or younger. If adult tickets cost $23, how much will a student ticket cost after being discounted? Round to the nearest cent if necessary.

Answers

Answer:

$6.90

Step-by-step explanation:

30/100 = x/23

100x = 690

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Multiply polynomials

Answers

Step-by-step explanation:

[tex] {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} [/tex]

hope it helps

[tex] \huge \frak \green{question}[/tex]

Multiply the polynomials :-

x² ( 5x³ - 2x³ + 15)

[tex] \huge \frak \green{solution}[/tex]

→ x² ( 5x³ - 2x³ + 15)

→ x² × (3x³ + 15)

→ 3x² + 15x²

This can be further solved as :-

3x² + 15x²

→ 18x²

[tex] \huge \frak \red{answer}[/tex]

18x²

7-4 pls help pleasssssssssssssssse

Answers

Answer:

for what subject?

geometry

trig

algebra

Answer:

I think it's 3 but maybe ask your teacher to check :o

Step-by-step explanation:

I'll mark you brainliest if you help me with my previous math questions.​

Answers

Answer:

ok

Step-by-step explanation:


what is the equation of the following line please help if u can

Answers

Answer:

B I believe

Step-by-step explanation:

every time the line hits a point you go up 1 and over 4


Chen and Dave divide £350 in the ratio 3:4
ed
Work out how much money Dave gets

Answers

Answer:

£200

Step-by-step explanation:

Sum the parts of the ratio, 3 + 4 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of the ratio , then

4 parts = 4 × £50 = £200 ← amount Dave gets

PLEASE HELPPPPPP URGENT

Answers

Answer:

B

Step-by-step explanation:

CD matches with ST on the shapes.

I HELP NEED ASAP PLZ HELP ME

Answers

Step-by-step explanation:

hope it helps.........

Answer:

The answer is 6.

Step-by-step explanation:

All you need to do is turn 33 and 44 into a fraction ([tex]\frac{33}{44}[/tex]). Then you need to simplify it and it's simplest form is [tex]\frac{3}{4}[/tex]. then you up the fraction to [tex]\frac{6}{8}[/tex] and that's your answer.

rename the mixed number as an improper faction

a. 3/5
b. 12/5
c. 2/6
d 7/5

Answers

Answer:

no

Step-by-step explanation:

The length and breadth of a rectangular ground is 30 m and 20 m respectively.A boy moves around the ground 5 times early morning everyday.Find the distance covered by him?​

Answers

Answer:

500m

Step-by-step explanation:

a rectangle has 4 sides, so 30=60 and 20=40

60x5=300

40x5=200

300+200=500

500m

reason of 500

The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.

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