Maya purchased a boat for $18,340. It's value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?

Answers

Answer 1

The worth of the boat of Maya which goes for 15% deprication this year at the end of the first year of purchase, with the considered purchase price, is $15,589

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Deprecated price = Initial price- amount of deprication

We have:

Initial price = $18,340

And the amount of deprication = 15% of $18,340

= [tex]\dfrac{18340}{100} \times 15 = 2751 \: \rm dollars[/tex]

(as deprication on first year was by 15% of the original price, and we want to know the deprication for the first year only)

Thus, we get:

Depricated price of Maya's boat = $18,340 - $2,751 = $15,589

Thus, the worth of the boat of Maya which goes for 15% deprication this year at the end of the first year of purchase, with the considered purchase price, is $15,589

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Related Questions

Pendulum A is 20 cm long and has a 5 g mass on it. Pendulum B is 30 cm long and has a 10 g mass on it. Which one has a faster period?

Answers

The formula for the period T of a pendulum is T = 2π Square root of√L/g, where L is the length of the pendulum and g is the acceleration due to gravity.

Slope-intercept form that passes through (9, 3) and has a slope of -

Answers

Step-by-step explanation:

Let m and c be the slope and y-intercept respectively,

(y-3)/(x-9) = m

y-3 = mx-9m

y= mx - 9m+3

y = mx + 3(1-3m)

The market sells 1 dozen bagels
for $7.00. The bagel shop sells
bagels for $0.60 each. Which is
the better buy?

Answers

Answer:

market

Step-by-step explanation:

Market

1 dozen bagels = 12 bagels

⇒ Cost per bagel = $7.00 ÷ 12 = $0.58 (nearest cent)

Bagel shop

Cost per bagel = $0.60

As $0.58 < $0.60 the market is a better buy

There are 62 seats on a train. 31 of the seats are empty. What percentage of the seats on the train are empty?

Answers

Answer:

50%

Step-by-step explanation:

31/62 of the train seats are empty,meaning there is 50%

What is x .
ABC~ DEF

Answers

Answer:

Dado, △ABC∼△DEF

Por lo tanto

A.C

Así que

2x−1

3x+9

2x+2

Ahora tomando

2x−1

tenemos

2x−1

o 4x−2=18 o x=5

Por lo tanto, AB=2×5−1=9,

BC=2×5+2=12,CA=3×5=15,

DE=18,EF=3×5+9=24

y FD=6×5=30

Por lo tanto

AB = 9 cm, BC = 12 cm, CA = 15 cm, DE = 18 cm, EF = 24 cm y FD = 30 cm

16/x 45/3 find the value of x round to the nearest tenth

Answers

Answer:

x would be equal to 1.1

Step-by-step explanation:

Step 1: Determine the value of x

I assume that the equation looks like this: 16/x = 45/3

Therefore, using the cross multiply method we can do (16*3) = (x*45)

This will give us 48 = 45x

Then we divide both sides by 45 so we can isolate x by itself

45x/45 = 48/45

x = 1.0667

Then we round to the nearest tenth

x = 1.0667

x = 1.1

Answer: x would be equal to 1.1

Answer:

x = 16/15, or (to the nearest tenth) x = 1.1

Step-by-step explanation:

Note: there must be an " = " sign between the two fractions:

16 45

------- = -------

x 3

Also note that 45/3 reduces to 15: 16/x = 15

Multiplying both sides by x yields 16 = 15x, so that x must be x = 16/15 = 1.1

Find the perimeter of a triangle with sides 11 inches and 5 inches and 13 inches x

Answers

Answer:

Step-by-step explanation:

Perimeter of a triangle is the total of sides a+b+c
11+5+13=29

Find the value of x in the figure.

Answers

The value of the missing variable x in the diagram is; 4

How to find the side length of a similar triangle?

In mathematics, two triangles are said to be similar provided that they have the same ratio of corresponding sides and equal pair of corresponding angles.

Now, from the given image, we can see that DE bisects AC into 2 equal parts and by virtue of the concept of similar triangles, we can say that;

DE/BC = 1/2

We are given;

DE = x + 1

BC = 4x - 6

Thus;

(x + 1)/(4x - 6) = 1/2

Cross multiply to get;

2x + 2 = 4x - 6

4x - 2x = 6 + 2

2x = 8

x = 4

That value of x is the missing value required in conclusion.

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plot the points on the coordinate plane and answer the questions k (11,...),L(....,11), and M(40,....) are on that line, too what are the missing coordinates

Answers

The missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).

Plotting the points on the coordinate planes

The points can be plotted on coordinate planes as shown below in the graph uploaded.

The missing coordinates are determined as follows;

k (11, 0)L (0, 11)M (40, 40)

Thus, the missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).

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Find the length of the missing side of the right triangle.

Answers

Answer:

b=8

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 =c^2 where a and b are the legs and c is the hypotenuse

6^2 + b^2 = 10^2

36+b^2 = 100

Subtract 36 from each side

b^2 = 100-36

b^2 = 64

Take the square root of each side

sqrt(b^2) = sqrt(64)

b = 8

I NEED HELP WITH PERCENT PROBLEM

Answers

Answer:

76$

Step-by-step explanation:

114=.6y; y= original price

y=190, original price

190-114=76

3x-4=8 what does X equal to?

Answers

Hey there,

Solve the equation:

Answer :

x = 4 ✅

Explanations :

3x - 4 = 8

>> Add 4 to both sides :

3x - 4 + 4 = 8 + 4

3x = 12

>> Divide both sides by 3 :

3x/3 = 12/3

Therefore, your answer is x = 4

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Answer:

x = 4

Step-by-step explanation:

Given equation:

3x - 4 = 8

To determine the value of "x", we need to isolate the "x" variable and it's coefficient. This can be done by adding 4 to both sides of the equation.

⇒ 3x - 4 + 4 = 8 + 4⇒ 3x = 12

The next step in determining the "x" variable is to isolate the coefficient from the "x" variable. This can be done by dividing 3 both sides of the equation.

⇒ 3x/3 = 12/3⇒ x = 4

Therefore, the solution (x) is 4.

can someone help me with this? please

Answers

Answer:

14.4 feet

Step-by-step explanation:

A Ferris wheel contains 16 cars evenly spaced on a circle with a radius of 20 feet. What is the distance between any two cars on the Ferris wheel?

Answers

Answer:

230.4

feet

Explanation:

arc length

circumference

fraction of circle

165

360

165

360

230.4

feet to nearest tenth

Answer:

Step-by-step explanation:

the answer is 22.5 but rounded to the nearest whole which is 23

In the problem 7/10 – 3/4, what is the LCM you can use as the denominator in both fractions?

Answers

1 ) Multiply the largest number (10) by 1.

Can the smallest (4) go into this number evenly?

10 x 1 = 10

10/4 = 2.5 ❌

2 ) Now multiply the largest number by 2.

Can the smallest go into this number evenly?

10 x 2 = 20

20/4 = 5 ✅

The LCD is 20

BRAINLIEST please if this helped!

Your car was worth $50,000 when you bought it. It depreciates in value by 1.6% continuously. How much is your car worth in 5 years? ( round to the nearest cent (2 decimal places) )

Answers

Answer:

[tex]5 {6y6494y5y5yx \sqrt[454x54 {149 { \\ \\ }^{ \\ } }^{2} ]{?} }^{?} [/tex]

find an equation of the line through the given points. give the final answer in slope-intercept form (-2,2) (4,-1)

Answers

to get the equation of any straight line, we simply need two points off of it, let's use the points in the picture below.

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}}\implies \cfrac{-3}{4+2}\implies \cfrac{-3}{6}\implies -\cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-2 = -\cfrac{1}{2}(x+2)\implies y-2=-\cfrac{1}{2}x-1\implies y=-\cfrac{1}{2}x+1[/tex]

Cheryl and her sister Diane walk to school along the same route. Cheryl walks at an average of
80 steps per min while Diane walks at an average of 90 steps per min. Cheryl takes steps
of 81 cm each. She takes 12 min to walk to school.
a) What is the distance between their house and the school (Give your answer in metres) ?

metres
b) If each of Diane's steps in 72 cm, how long does Diane take to walk to school?

minutes
c) If Diane takes 16 min to walk to school, how long is each of her steps?

Answers

The distance between their house and the school from the information given will be 777.60 meters.

How to calculate the distance?

The distance between their house and the school will be:

= 80 × 81 × 12

= 77760cm

= 777.60 meters.

When Diane takes 16 min to walk to school, the length of her steps will be:

= 77760/(16 × 90)

= 54 cm

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3 of 8
If x = -8 and y = 4, evaluate the
-
following expressions:
i) (4y)² - (2x)²=
ii) 4y²– 2x²=

Answers

Answer:

Step-by-step explanation:

i) (4*4)^2-(2(-8))^2=256-(16)^2=256-256=0

ii) (4*16)-2*(-8)^2=64- 2(16)= 64-32=32

Find the measure of angle x in the figure below:

A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 56 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 51 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 72 degrees. The interior angle on the left is labeled as x.

35°
47°
73°
78°

Answers

Answer:

I took the Test it is 72

Please help around 60 points

Answers

Answer:

i don't know do you play any games

what is the exact value of tan(19pi/12)

Answers

Answer:

the answer is -2-√3

Step-by-step explanation:

[tex] \tan( \frac{19\pi}{12} ) \\ \tan( \frac{19 \times 180}{12} ) \:\:we \: know \: that \: \pi = 180 \\ \\ \tan(285) \\ = - 2 - \sqrt{3} [/tex]

Can anyone tell me the standard form of this parabola equation?
4y^2-x-24y+30=0

And this Circle equation in standard form.
2x^2+2y^2-18x-10y+7=0

Answers

Answer:

[tex]x=4y^2-24y+30[/tex]

[tex](x-4.5)^2+(y-2.5)^2=23[/tex]

Step-by-step explanation:

Standard form of a sideways parabola: [tex]x=ay^2+by+c[/tex]

Given equation:

[tex]4y^2-x-24y+30=0[/tex]

Add x to both sides:

[tex]4y^2-24y+30=x[/tex]

[tex]\implies x=4y^2-24y+30[/tex]

--------------------------------------------------------------------------------------------

Standard form of circle equation

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a,b) is the center and r is the radius)

Given equation:

[tex]2x^2+2y^2-18x-10y+7=0[/tex]

Group like terms:

[tex]2x^2-18x+2y^2-10y+7=0[/tex]

Divide by 2:

[tex]x^2-9x+y^2-5y+3.5=0[/tex]

Factor by completing the square for each variable:

[tex](x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0[/tex]

Rearrange into standard form:

[tex](x-4.5)^2+(y-2.5)^2=23[/tex]

Therefore, the circle has a center at (4.5, 2.5) and a radius of √23

At the local aquarium, the average weight of the whale shark, the
aquarium's largest fish, is 25 tons. The average weight of the dolphin is
330 pounds. If there is 1 whale shark and 2 dolphins in one of the fish
tanks, how much do they weigh all together in pounds?

Answers

There are 2000 pounds in a ton, and and you will add 330 for each dolphin. Your equation should look like this 2000+330+330 or 2000+(330*2)
= 2660

what is the area of the figure

Answers

Answer:

112.5ft^2

Step-by-step explanation:

10 x 9 = 90

9 × 5 × .5 = 22.5

90 + 22.5 = 112.5

What’s the median for 28,30,30,30,30,31,31,31,31,31,31,31,31

Answers

Answer:

Step-by-step explanation:

The median is the number that we find in the middle of the data.

So if we have a sequence of {1,2,3}

Then 2 is the median

If we have a sequence of {1,2,3,4,5}

Then 3 is the median

We look in the middle of 28,30,30,30,30,31,31,31,31,31,31,31,31

and we find 31 in the middle.

Note:

If the middle is something with 2 terms in the middle like

1,2,3,4

Then the median is the average of the two middle terms which is

(2+3)/2 = 2.5

You measure 20 dogs' weights, and find they have a mean weight of 41 ounces. Assume the population standard deviation is 11.9 ounces. Based on this, what is the maximal margin of error associated with a 99% confidence interval for the true population mean dog weight.

Give your answer as a decimal, to two places

Answers

Answer:

(34.15, 47.85)

Step-by-step explanation:

[tex]n = (\frac{z*stddev}{ME} )^{2}[/tex]

stddev = 11.9

z = invNorm(

area = (1 + confidence interval)/2

mean = 0

stddev = 1

)

= invNorm(

0.995

)

≈ 2.576

n = 20

square root both sides

[tex]\sqrt{20} = 2.576 * 11.9 / ME[/tex]

multiply both sides by ME, divide both sides by √20 to isolate ME
ME = 2.576 * 11.9/√20

≈ 6.85

interval = mean ± ME
= (41-6.85, 41+6.85)

= (34.15, 47.85)

please help with this

Answers

Answer:

Step-by-step explanation:

This is pretty straight forward. Here are the answers verified:

A. Incorrect. Pretty much not even close to 2°. If it was, then it would've been a very small triangle.B. Incorrect. It is kind of close to it, but it is not 28°. Once again, it would've been small.C. Correct. Angle just about right to reach 62°.D. Incorrect. This triangle would've been kind of big. Though it is not 88°, it is not big.

Correct choice is C.

What is the slope-intercept equation for this line?
--1
y = [?]=x +
Enter the correct
symbol,+ or -.
-2
-3

Answers

Answer:

y = -1/2x - 2

Step-by-step explanation:

Slope Intercept form: y=mx+b

You need to find the slope and y-intercept.

(0,-2) is the y-intercept which is the point on the y-axis that is intersected by the linear equation which is our slope line.

Now, we need to find our slope.

*This line is a negative slope*

Starting at our y-intercept [ (0,-2) ] we need to go to a point where the line intersects.

The red dot on the coordinate plane clearly represents it.

(2,-3) is the red point in which we need to go down 1 and over 2 to get there.

So our slope should be -1 / 2

Lastly, write in slope-intercept form:
y = -1/2x - 2

If the sides of a triangle are 8 and 11 in units and the angle between them is 37 degrees, then the length of the third side is: Options :
A 6.1 B 6.4 C 6.7 D 6.9

Answers

The question is an illustration of the laws of cosine, the length of the third side is 6.7 units

How to determine the third side?

The measure of the third side is calculated using the following law of cosine

a^2 = b^2 + c^2 - 2bc * cos(A)

So, we have:

a^2 = 8^2 + 11^2 - 2 * 8 * 11 * cos(37)

Evaluate the expression

a^2 = 44.44

Take the square root of both sides

a = 6.7

Hence, the length of the third side is 6.7 units

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