Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous year. Write an exponential function that models the value in dollars of the boat x years after Marcus's purchase.

Answers

Answer 1

Answer: [tex]56,900\left( 0.919\right)^x[/tex]

Step-by-step explanation:

Given

Marcos purchased a sailboat for [tex]\$56,900[/tex]

Each year the boat will decrease in value by [tex]8.1\%[/tex]

After 1 year it is

[tex]\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\[/tex]

after another year it becomes

[tex]\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2[/tex]

After [tex]x[/tex] years it is

[tex]\Rightarrow 56,900\left( 1-0.081\right)^x[/tex]

[tex]\Rightarrow 56,900\left( 0.919\right)^x[/tex]


Related Questions

Construct a street that has an x-intercept of 6 and a slope of 4. what is the y-intercept?

Answers

Answer: CAN U MARK BRAINLIST!!!!! You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster.

Given two points (x1, y1) and (x2, y2), the formula for the slope of the straight line going through these two points is:

\small{ m = \dfrac{y_1 - y_2}{x_1 - x_2} }m=  

x  

1

​  

−x  

2

​  

 

y  

1

​  

−y  

2

​  

 

​  

 

 

MathHelp.com

Using Slope and Y-Intercept to Graph Lines on MathHelp.com

Slope-Intercept Form

...where the subscripts merely indicate that we have a "first" point (whose coordinates are subscripted with a "1") and a "second" point (whose coordinates are subscripted with a "2"); that is, the subscripts indicate nothing more than the fact that we have two points that we're working with. Note that which point we pick as the "first" point is irrelevant; if we pick the other point to be "first", the subtractions will be reversed, but we'll still get the exact same value for the slope:

\small{ m = \dfrac{y_2 - y_1}{x_2 - x_1} }m=  

x  

2

​  

−x  

1

​  

 

y  

2

​  

PLZ HELPPPPPPPPPP!!!!​

Answers

Answer:

110.94

Step-by-step explanation:

Surface area is the area of each side of the shape added together. So in this situation, it would be the area of a side, multiplied by 6, because a square has six sides.

To find the area, it's length x width. You're given the length and width, which both are 4.3 mm.

4.3 x 4.3 = 18.49

With this new number, you're gonna multiply it by 6. And the total will be 110.94 mm. :)

If k = 2, what is the value of k3 - (k-10)+4k ?

Answers

Answer:

24

Step-by-step explanation:

The given expression is k^3 - (10-k) +4k

Substitute the numerical value of k=2 in the above expression

2^3-(2-10)+4*2=8+8+8=24

The value of the given expression is 24

Answer:

24

Step-by-step explanation:

k³ - (k - 10) + 4k

= 2³ - (2 - 10) + 4(2)

= 8 - (-8) + 8

= 16 + 8

= 24

A rectangular cardboard is 8cm long and 6cm wide. what is the least number of beads you can arrange on the board such that they are at least two of the beads that are less than √10cm apart?

Answers

Answer:

ixbhjshvshsbsjsbjssvisjywysuysrywuwyduysuuehehudh

How many unit fraction cubes fit into the first layer of the rectangular prism?

Answers

Answer:

33 cubes

Step-by-step explanation:

The first layer is 5 1/2 x 3 = 16 1/2

Since each cube we're using to fill it is 1/2 unit long/wide, it's easiest to convert 16 1/2 into halves...16 = 32 halves + 1/2 = 33

is it possible to construct a triangle with the given lengths? 17, 37, 53

Answers

Answer:

Yes

Step-by-step explanation:

In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:

[tex]17+37>53,\\54>53,\\\text{True}\:\checkmark[/tex]

Which equation can be used to find 42x51?

Answers

Answer:

(40 x 50) + (2 x 1) = 2,000 + 2

Step-by-step explanation:

Please show work thank you

Answers

Answer:

x = -10, x = -6

Step-by-step explanation:

[tex]x^2+16x+60\\(x+10)(x+6)=0\\x=-10,x=-6[/tex]

A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft

Answers

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

Mrs. Lia has 17 pounds of modeling clay. She divides the clay into 1/2 pound blocks. If Mrs. Lia puts aside2 if the blocks and gives the rest to the students in her art class, how many 1/2 pound blocks of clay does Mrs. Lia give to her class?

Answers

Answer:

6

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

PLEASE SOMEONE HELP ME??!! i really need it!! thank you!!


A 45°-45°-90° triangle has a hypotenuse that is 162–√ cm long. Each leg of the triangle is ___ cm long

Answers

Answer: a= 9 cm , b=9cm (if I got hypotenuse right if not follow same procedure with the correct value. I couldn’t tell what it said in your question)

Step by step solution: See photo

The sum of 2 numbers is 21.
The second number is 6 times the first number.
Work out the two numbers.

Answers

Answer:

both numbers are 18 and 3

Step-by-step explanation:

Answer:

3 and 18.

Step-by-step explanation:

Let the numbers be x and 21-x, then:

21-x = 6x

6x = 21 - x

7x = 21

x = 3

The 2 numbers are 3 and 18.

1/3 of 3/5= ____?
pls i need help lol

Answers

1/5
all u have to do is multiply them together

Answer:

[tex]\frac{1}{5}[/tex] or 0.2

Step-by-step explanation:

Multiply 1/3 times 3/5

To multiply fractions, multiply numerators by numerators, and denominators by denomintors.

1 x 3 = 3

3 x 5 = 15

So, you get 3/15 = 1/5

504 divided by 83 please help

Answers

Answer:

6.07

Step-by-step explanation:

Answer:

6.072289157

(6.07 rounded up)

Hope this helps!

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I am not 100% sure but i think it is A.

Alonzo is going on a kayaking trip and needs to hire a guide. The cost of the guide is $55. He wants to give the guide a 10% tip. What is the total cost of the tour after tip is calculated?

Answers

Answer:

$60,50

p-by-step explanation:

10%de $ 55 é $5,50

55,00+$ 5,50 =  $60,50

Espero ter ajudado!!

WILL MARK BRAINLIEST IF GOTTEN RIGHT

Answers

Answer:

8

Step-by-step explanation:

hope this helps

Answer:

C. 3

Step-by-step explanation:

OP = √5²-4²=√25-16=√9= 3

pls help me besties ‼

Answers

Answer:

1 3 2

Step-by-step explanation:

OK BESTIE

Think About the Process In the​ diagram, m∠1=(117−y)°​, m∠2=25°​, and m∠3=(x+46)°. Write an equation to solve for x and an equation to solve for y. Find the values of x and y.

1

2

3

​(The figure is not shown to​ scale.)

Write an equation to solve for x and an equation to solve for y. Choose the correct answer below.

A.

25+x+46=90 and 117−y=90

B.

x+46=90 and 25+117−y=90

C.

25+x+46=90 and 117−y=180

D.

25+x+46=180 and 117−y=90

Answers

Answer:

A

Step-by-step explanation:

∠1 is a right angle

Right angles have a measure of 90°

If ∠1 = 117 - y

Then 117 - y = 90

∠2 and ∠3 create a right angle

Like stated previously right angles have measures of 90°

This means that ∠2 + ∠3 = 90

So if ∠2 = 25 and ∠3 = x + 46

Then 25 + x + 46 = 90

The equations created correspond with the answer choice A

Therefore A is the correct answer

Help please one question

Answers

X=6 and y=2 all you have to do is plug x that is given into the equation for y. After you have initially solved for y ,which is 2 , you plug that into the equation as well which them comes to the answer for x

Helpppp pls
Find AB.

Answers

AB = 15

Since both sides are the same you can match both of the equations and solve for X which in this case is 3. So 4 * 3 = 12 + 3 = 15 and 5 * 3 also is 15 which makes it true since they are the same triangle.

14
Select the correct answer.
Which equation matches the function shown in the graph?
2
1
0
21
les
3 x
NE
WET
-1
-2-
-3
ОА.
y = sin(x - 1) + 3
OB.y = 3sin( - )
OC. y = 3c03( - )
OD.
y = 3cos(+ + 7)

Answers

Y= 2 cos 3x d I answered this on my test Alr

the number of students in a school increase to 504 from 450 after the good results shown in the board exams .What is the percentage increase in the number of students​

Answers

Answer:

I looked it up and the first answer I got was 12% but I'm not too sure

no. increased by 504-450

=54 students

percentage increase=54×100/450

=5400/450

=12%

Step-by-step explanation:

Did i get it right?
if not what's the correct answer?
( could you also explain how you did it? You dont have too but it'd help me a lot next time i do this.. )

Answers

Yesssss you got it right boy

Mia is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:45 P.M. They want to spend 1 hour and 15 minutes at the Empire State Building, 2 hours and 30 minutes in Central Park, and 1 hour and 15 minutes in Times Square. What is the latest time Mia's family can start their tour in order to make it to dinner on time?​

Answers

Answer:

3:45pm

Step-by-step explanation:

the reason behind my answer is that in adding all the time they wanted to spend doing things around NYC it totaled 5 hours. 5 hours before 8:45pm is 3:45pm.

A plumber has been working at 4 customer sites. He has completed 1/4, 50%, 12.5%, 3/4 and of his work at the sites. Which list shows the work completed at the sites, in order from greatest to least? 1. 12.5%, 1/4, 50%, 3/4 2. 3/4, 50%, 1/4, 12.5% 3. 3/4, 12.5%, 1/4, 50% 4. 1/4, 50%, 3/4, 12.5%

Answers

Answer:

2. 3/4, 50%, 1/4, 12.5%

Step-by-step explanation:

Work completed at the 4 sites = 1/4, 50%, 12.5%, 3/4

1/4 = 0.25

50%

= 50/100

= 0.5

12.5%

= 12.5/100

= 0.125

3/4

= 0.75

in order from greatest to least?

3/4, 50%, 1/4, 12.5%

1. 12.5%, 1/4, 50%, 3/4

2. 3/4, 50%, 1/4, 12.5%

3. 3/4, 12.5%, 1/4, 50%

4. 1/4, 50%, 3/4, 12.5%

Someone help will mark brainlest and give alot of points please

Answers

i think it’s 5

because if you look at the picture it’s a little more than BC but a little less than BA

what are 3 ratios that are equivalent to 4/7 Help please

Answers

Answer:

8:14, 12:27, 40:70

Step-by-step explanation:

The diameter of a circle measures 22 cm. What is the circumference of the circle?
Use 3.14 for at, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:the circumference of a circle is found by multiplying the diameter by pi

Circumference = 22cm x 3.14 = 69.08 cm

Answer:

69.08 cm

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.

We also know we are using 3.14 for pi. Substitute it in for pi.

Multiply.

The circumference of the circle is 69.08 centimeters.

A triangle has sides 6 cm, 7 cm, and 10 cm. Is it a right triangle?

Answers

If we use the Pythagoras Theorem
If 10^2 = 7^2 + 6^2 then yes it’s a right triangle.

7^2 + 6^2= 85
10^2=100

They aren’t equal so it’s not a right triangle.
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