A boat costs $92,000.00 and depreciates in value by 15% per year. How much will the boat be worth after 10 years?

Answers

Answer 1

Answer:

$18,112.45 (nearest cent)

Step-by-step explanation:

Let y = value of the boat

Let x = the number of years

If the boat depreciates in value by 15% each year, then each year that goes by, it is worth 85% of the previous year's value (since 100 - 15 = 85)

85% = 85/100 = 0.85

Therefore, the equation is:  [tex]y = 92000 \times 0.85^x[/tex]

So, when x = 10:

[tex]\implies y = 92000 \times 0.85^{10}=18112.45[/tex]


Related Questions

Mike wrote down a number on a piece of paper and hid it from his friends. He rounded his number to different places and his friends had to guess what the number was.

First, Mike rounded his number to the nearest ten.
Then, he rounded his number to the nearest hundred.
Last, he rounded his number to the nearest thousand.
All three times, the rounded number had the same value.
Which of these could be his number?

145,998
7,002
4,506
26,991
12,497

Answers

Answer: 145,998, 7,000, and 25,991

My guess :))

Step-by-step explanation:

145,998  7,002  4,506  26,991   12,497

First, Mike rounded his number to the nearest ten

146,000  7,000  4,510   27,000   12,500

Then, he rounded his number to the nearest hundred.

146,000  7,000  4,500  27,000   12,500

Last, he rounded his number to the nearest thousand.

146,000  7,000  5,000  27,000   12,000

Angle C and angle D are supplementary. If the measure of angle D is 84 degrees, what is the measure
of angle C?

Answers

Suplementary is angles add up to 180 degrees

C=180-D

C=180-84

C=96 degrees

Hope this helped :)

What is the volume of the cone in terms of pi 6 inch and 2 inch?

Answers

Answer:

πr2h

3

Step-by-step explanation:

pls help 90points ty!

Answers

Answer: the last option x=-1 and y=1

Explanation: brainliest ?

Answer: C

Step-by-step explanation:

Y=2x
Y=3x-10

What is the solution to the system of equations

Enter your solution as an ordered pair ( , )

Answers

[tex]\large \bf\blue{\bigstar\boxed{\pink{\frak{Solution}}}} \blue{ \bf\longmapsto}[/tex]

Y=2x. . . . (1)Y=3x-10. . . . (2)

put value of y in 1 eq in 2 eq

y= 3x - 102x = 3x - 10x = 10

Put value of x in 1 eq

y = 2xy = 2 × 10y = 20

Pair formed

(x , y) = (10,20)

The solution to the system of equations will be (x, y) = (10,20).

What is the equation?

In a mathematical equation, two expressions—which may or may not include variables or integers—are declared to be equal. The main motivations for the development of mathematics have been attempts to methodically address the underlying issues with equations.

It is given that, the equations are y=2x and y=3x-10.

Y=2x. . . . (1)

Y=3x-10. . . . (2)

put the value of y in 1 eq in 2 eq in order to find the value of x.

y= 3x - 10

2x = 3x - 10

x = 10

Put the value of x in 1 eq in order to get the value of y,

y = 2x

y = 2 × 10

y = 20

Pair formed

(x , y) = (10,20)

Thus, the solution to the system of equations will be (x, y) = (10,20).

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

What is 3*ln(5)? Expanded and get the exact answer.

Answers

Answer:

  ln(125) ≈ 4.828314

Step-by-step explanation:

The relevant log relation is ...

  log(a^b) = b·log(a)

__

This means your expression is equivalent to ...

  3·ln(5) = ln(5^3) = ln(125) ≈ 4.828314

__

The "exact" answer is ln(125).

plz help guys! i will mark brainlyest

Answers

Answer:

Area is  220 cm²

Step-by-step explanation:

Firstly divide the polygon into  rectangle and triangle

For rectangle  area

 Area = A  =  L × W = 11 × 18 = 198 cm²

For triangle

Area =  A =  1/2 bh = 1/2 × (15-11) × (18-7) = 1/2 × 4 ×11 = 44/2 = 22 cm²

Add them

     198 + 22 = 220cm²

Mark brainliest if you understand

Which of the following rational functions is graphed below?

Answers

Answer:

letter A that's the answer

the other person is wrong the answer is C

Determine the area of the composite figure.

Answers

Answer:

Area = 142.5 square inches

Step-by-step explanation:

So your shape is kind of a little house. The bottom part is a rectangle 9 × 9.5. The area of the rectangle is

Area = length×width

= 9 × 9.5

= 85.5

The "roof" of the little house is a triangle. The area of a triangle is 1/2×base×height

Now, the base of the "roof" is the same as the floor of the house, 9.5 inches.

The height of the whole thing is 21 inches. If we take away the rectangle's wall-height, we'll get the height of the "roof".

Roof height= 21 - 9

= 12 inches

Area_roof

=1/2 × base × height

=1/2 × 9.5 × 12

= 57 square inches

Total area is bottom plus roof (the rectangle and the triangle)

Total Area

= 85.5 + 57

= 142.5 sq in

PLS HELP ILL GIVE BRANLIEST TO FIRST RIGHT ANSWER. pls im tired of this no one is answering my questions 90 big points up for this

Answers

Answer:

the value of x is 30* hope this helps. :)

Step-by-step explanation:

A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean amount eaten by the 10 dogs is 14 oz. The sum of squared deviations is 220. What is the variance for this data set

Answers

Using statistical concepts, it is found that the variance for this data set is of 22 oz squared.

What are the mean and the variance of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.

From the second bullet point, the variance can also be interpreted as the sum of squared deviations divided by the sample size.

In this problem, the sum of squared deviations is 220 and the sample size is 10, hence, the variance for this data set is of 22 oz squared.

You can learn more about the mean and the variance of a data-set at https://brainly.com/question/18087235

How many terms of the sequence 10,12,14 will add up to 190

Answers

Answer:

required value is n = 10

Step-by-step explanation:

by ingnoring the negative value n = -14

The questions below will help you keep track of key concepta from this lessons study activity.
Use the study page numbers listed to help you fl in the blanks or solve the problems.
1) Practice: Organizing Information
Complete the table to show what you know and want to find, related to the problem below.
Amy's monthly rent is one-fourth of her monthly income. If her monthly rent is $1,200, how much is
her monthly income?
Know
Want to know
2) Practice: Summarizing
Write an equation that may be used to solve the problem below, and then solve the equation.
Amy's monthly rent is one-fourth of her monthly income. If her monthly rent is $1200, how much is
her monthly income?

Answers

Step-by-step explanation:

Give entry slips/entrance tickets.

Grade, out loud and with the whole class, homework from the previous lesson.

Ask brief review questions.

Make adjustments.

Eye contact and proximity.

“Stoplight”

“1, 2, 3”

The function G is defined by the following rule. g(X)= 4x+4
complete the function table
-3,0,1,2,5

Answers

Answer:

g(-3)=4(-3)+4

= -8

g(0)= 4(0)+4

=4

g(1)= 4(1)+4

=8

g(2)=4(2)+4

=12

g(5)=4(5)+4

=24

Help math math math math

Answers

Hi there! I am here to help you!

Please remember that perpendicular lines have slopes that are opposite reciprocals.This means we take a number, flop it over, and change its sign.Here, we have[tex]\displaystyle-\frac{1}{5}[/tex]First, flop it over:[tex]\rm{-5[/tex]Change its sign:5Thus, the slope of the line perpendicular to the given line is 5.Now, what is the equation of the line?We have the slope of the line and a point that it intersects.So, we can write the equation in Point-Slope Form:y-y1=m(x-x1)y-1=5(x-(-5)y-1=5(x+5)y-1=5x+25y=5x+25+1y=5x+26

Answer:

y=5x+26

Hope you find it helpful.

~Nature~

Enjoy your day! :)

Answer:

The answer is y=5x+26

In a race you walked 9 5/6 miles and ran 1 1/3 miles.
How much further did you walk than run?
Do not reduce your answer to lowest terms.

Answers

Answer:

23/6 or 3 5/6

Step-by-step explanation:

Well, here you just have to subtract and think about the question.

Walk = 9 5/6

Run = 1 1/3

9 5/6 - 1 1 /3 = 23/6

23/6 = 3 5/6

please help if u can thank you:)​

Answers

It's number three because the two triangle are congruent (aas),

So, Angle CED would equal ACB, and ACB is 180-70-p, which is also

110-p

-Hunter

Help plsssssssssssss

Answers

Answer:

5. a) 2.140 + 1.725 = 3.865

b) 29.99 + 1.42 = 31.41

c) 6.157 - 1.009 = 5.148

6) 7.4 - 0.0022 = 7.2978 ✅

7.39 - 0.0012 = 7.3888

7. 140minutes / 2 hours and 20 minutes

can you please help me answer this question...?

Answers

Answer: B) The coordinate of L is (3,-2).

Step-by-step explanation:

Given that L is the midpoint of JK, we can apply the following equation to obtain the coordinates of point L:

L=(5+1/2, 3-7/2)

As a result of resolving this, we obtain

L=(6/2, -4/2)

L=(3,-2)


Therefore the answer is (3,-2)

Chad has a part-time job at Softy's Ice Cream Shop, where he makes $12.50 per hour. If Chad works 13.5 hours this week, how much money will he earn?

Answers

Answer:

He can make $ 168.75 per week.

Step-by-step explanation:

1hr =$ 12.50

For 13.5 hrs,

12.5*13.5

= 168.75

Use intercepts to graph the linear equation -4x+3y=-30 .

Answers

Answer:

See below

Step-by-step explanation:

Y-intercept

-4x + 3y = -30

-4(0) + 3y = -30

3y = -30

y = -10

(0, -10)

X-intercept

-4x + 3y = -30

-4x + 3(0) = -30

-4x = -30

x = 15/2

x = 7.5

(7.5,0)

After plotting the intercepts, connect them with a line to get your equation

100 points if u can complete this whole page !!! Pls with an explanation

Answers

What type of math is this

How to find the area of a triangle when the height is not given ?​

Answers

Answer:

by using formula a+b+c .....

Answer:

Then use Hero's Formula

Step-by-step explanation:

Tina wants to get friendship bracelet for her 32 classmate she already had 5 bracelets she can buy more bracelets in packs of 4

Answers

She needs 7 more packs of bracelets

Martin Works at the Big and Tall store. He gets paid $8 per hour plus $1 for each sale he makes on socks. Graph the relationship between money earned and hours worked if Martin was only able to sell 16 pairs of socks

Answers

Answer:

Let x equal the number of hours worked.

a) ƒ(x) = 8x + 1(16)

b) The slope is 8

c) The -intercept represents the money earned

d) For every one hour you work, you will gain eight more dollars

e) Yes, this answer would make sense in the real world because it will show how much money you would make over a given number of hours

f) Take a look at the picture I illustrated below.

Step-by-step explanation:

Charlie is given a box of chocolates.
There are 12 milk chocolates, 8 dark chocolates and 6 white chocolates.
What is the probability that Charlie will pick a white chocolate?
Without replacing the chocolate, what is the probability that the next chocolate Charlie picks will be a milk
chocolate?

Answers

Answer:

probability of white chocolate is 0.0016=16 percent 26 percent is the probability of of him picking chocolate

I NEED HELP ASAP ON THIS!!!
Please help me on 4,5,6, and 7.

Answers

Answer:

4. m<3 = 120

5. m<4 = 13

6. m<2 = 70

7. m<1 = 115

Step-by-step explanation:

4. m<3 = 120, this is because it is the same as m<1 due to vertical (congruent) angles

5. m<4 = 13, this is because it is the same as m<2 due to vertical (congruent) angles

6. m<2 = 70, this is because m<2 and m<3 are supplementary (adding up to 180) so we would subtract 180 - 110 (aka m<3) = 70 (aka m<2)

7. m<1 = 115, this is because m<1 and m<4 are supplementary (adding up to 180) so we would subtract 180 - 65 (aka m<4) = 115 (aka m<1)

Which expressions are equivalent to 4d+6+2d

(Choice A) 2(3d+3)
(Choice B) 6(d+6)
(Choice C) (3d+3)+(3d+3)

Answers

Answer:

(Choice A) 2(3d+3) & (Choice C) (3d+3)+(3d+3)

Step-by-step explanation:

[tex]4D + 6 + 2D = 6D + 6 = 2(3D + 3)[/tex] <--- A is correct

[tex]4D + 6 + 2D = 6D + 6 = 6(D +1)[/tex] < --- B is NOT correct

[tex]4D + 6 + 2D = 6D + 6 = 3d + 3d + 3 + 3 = (3d + 3)+(3d +3)[/tex] by associative and commutative properties

   so C is correct

A and C are both correct.

Answer:

Choices A and C

Step-by-step explanation:

Start by simplifying the original expression.

4d+6+2d

Combine like terms

6d+6

Now, we can check each expression to see if it is equivalent to 6d+6

Choice A:

2(3d+3)

Distribute the 2

2(3d)+2(3)

6d+6 --> It is equivalent!

Choice B:

6(d+6)

Distribute the 6

6(d)+6(6)

6d+36 --> No, it is not equivalent

Choice C

(3d+3)+(3d+3)

The parentheses aren't necessary so we can take them out.

3d+3+3d+3

Combine like terms

6d+6 --> It is equivalent!

Kay started a chess club, and for a while she was the only member. She planned to have each member find two new members each month. By the end of the first month, she had found two new members. If her plan is carried out, how many members will the club have at the end of 6 months

Answers

Answer:

  127

Step-by-step explanation:

The sum of 7 terms of the series 1 +2 +4 +... with first term 1 and common ratio 2 is given by ...

  Sn = a1 × (r^n -1)/(r -1) . . . . . . first term a1, common ratio r

  S7 = 1 × (2^7 -1)/(2 -1) = (128 -1)/1 = 127

At the end of 6 months, the club will have 127 members.

1. What is one fourth of 116?




2. The deli made 105 bacon egg and cheese sandwiches and 123 turkey sandwiches.
Once the day was over, the deli workers noticed they sold one half of their sandwiches,
How many sandwiches did they sell?

Answers

1. 29


2. 114 deli sandwiches
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