A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?

Answers

Answer 1

Answer:

$6,765.35.

Step-by-step explanation:

Here we have to use the rate of depreciation, the initial value and the total time to find the final value with this formula

[tex]A=A_{0}(1-r)^{t}[/tex]

Where [tex]A[/tex] is the final value, [tex]A_{0}[/tex] is the initial value, [tex]r[/tex] is the rate of depreciation and [tex]t[/tex] is the time.

Replacing all values, we have

[tex]A=20300(1-0.0875)^{12}[/tex]

[tex]A=6765.35[/tex]

Therefore, after 12 years the car will value $6,765.35.


Related Questions

Factor completely.

​ 40t−16 ​

Enter your answer in the boxes.

Answers

8(5t-2)
8 can go into 40  and 16.
40t/8 is 5t and 16/8 is 2
I hope this helped

The expression 40t - 16 is factored completely by first identifying the greatest common factor, which is 8, then factoring it out to get the result 8(5t - 2).

To factor the expression 40t - 16 completely, we need to find the greatest common factor (GCF) of the terms. The GCF of 40t and 16 is 8. Therefore, we can factor out 8 from both terms:

40t - 16 = 8(5t) - 8(2) = 8(5t - 2)

So, the completely factored form of the expression 40t - 16 is 8(5t - 2).

1. (08.02)A pair of equations is shown below.
x + y = 5
y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
A. (2,5)
B. (5, 2)
C. (2, 3)
D. (3, 2)

Answers

Answer:

(2,3)

Step-by-step explanation:

Given : [tex]x + y = 5[/tex]

           [tex]y=\frac{x}{2}+2[/tex]

To find: what point do the lines representing the two equations intersect

Solution:

[tex]x + y = 5[/tex]

[tex]y=\frac{x}{2}+2[/tex]

Plot the lines on the graph

Green line denotes  [tex]x + y = 5[/tex]

Purple line denotes [tex]y=\frac{x}{2}+2[/tex]

So, Intersection point = (2,3)

Refer the attached figure

So, option C is true

Hence Intersection point is (2,3)

<1 and <2 are complementary angles. m <1=52 what is the measurement id <2?

I need answer ASAP!

Answers

Complementary angles are angles formed by the addition of two angles, which measure is 90 degrees.
Is given that angle one and angle two are complementary, in other words equal to 90 degrees. Also, is given that the measure of angle one is equal  52 degrees. For instance to find the measure of angle two, should be subtracted 52 out of 90.

m<1+m<2=90          Substitute the measure of angle one on the equation
   52+m<2=90          Subtract 52 in both sides
         m<2=38

The measure of angle two is equal 38 degrees. 



If 8 ties cost $128, how much do 15 ties cost?

Answers

Hey there! :D

Find the unit rate.

$128/8= 16

Multiply that by 15, since each tie cost $16.

15*16= 240

15 ties cost $240. 

I hope this helps!
~kaikers
The 15 ties should cost $80.

Anyone please help me please solving these maths problems not sure.Thanks.

Answers

Laura has 3 shells because is you make 12 ,12 over 1 (12/1) and add it to 1/4 it would be 12/4 and if you divide 12÷4 you would get 3.

There are 20 trees in a yard that each produced 1 gallon of syrup. If the syrup needs to be put into 3 gallon containers, how many containers are necessary to hold all of the syrup?

Answers

For this case we have that if 20 trees produce 1 gallon of syrup each, then we have 20 gallons of syrup.

We must find the number of containers for the 20 gallons, knowing that each container has a capacity of 3 gallons.

[tex]\frac {20} {3} = 6.67[/tex]

So, we need 7 containers.

Answer:

7 containers

The angle of elevation from a sailboat to the top of a 121-foot lighthouse on the shore measures 16 degree. How far is the sailboat from the lighthouse to the nearest foot?

Answers

About 422 feet.

Hope this helps!

Answer:

Step-by-step explanation:

Please help me out :)

Answers

The answer is 36.

You subtract or decrease the number by 8 every time.
The answer to your question is 36

What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2

Answers


one semi circles area =pi.r²/2

one semi circle area = pi.2²/2=2.pi

three semi circle area =3.2.pi =6.pi

square area = 4² =16

area of composite figure = 6.pi+16

Can someone help me making sure if my answers is right. Just need lil help. Thanks.

Answers

1. You are correct that each person gets 3/4 of a pizza. Be careful with your drawing. 2/4, 3/4, and 4/4 are very different from 1/4 #2, 1/4 #3, 1/4 #4.

2a. Correct

2b. You have shown the fraction shaded. The question asks for the fraction unshaded.

To motorists leave from the same point at the same time, one traveling east at 36 MPH and the other traveling west at 44 MPH. How many hours will it take for them to be 260 miles apart?

Answers

This is a very good question to know about. People who make tests really like it.

The way to solve it is to make the slower car stop and use the difference in speed = to the rate. then do it as an ordinary d = r*t problem.

The difference in speeds  is 44 - 36 = 8 miles/ hour.
d = 260 miles
r = 8 mph
t = ???

t = d/r
t = 260/8
t = 32.5 hours.

Thats 32 1/2 hours.

A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?

Answers

Answer: 48 pounds


Step-by-step explanation:

Given: A person who weighs 240 pounds burns 180 calories per mile of running.

There is a direct relation ship between the weight of the person and the calories burn.

If a person burns thirty-six calories by running one mile.

Let x be the weight of the person then

[tex]\frac{x}{36}=\frac{240}{180}\\\Rightarrow\ x=\frac{240\times36}{180}\\\Rightarrow\ x=48[/tex]

The weight of the person is 48 pounds.



The measure of an angle is 41 degrees. What is the measure of a complementary-angle?

Answers

Hey there! :D

Complementary angles are equal to 90 degrees.

90-41= 49

The compliment is 48 degrees.

I hope this helps!
~kaikers
Angles that are complementary means they add up to be 90º.
90 - 41 = 49
Therefore, the measurement of its complementary angle would be 49º
Hope this helps!

If the dimensions of the rectangle are doubled what is the area of the new rectangle.

Answers

double x + 3= 2x + 6. double four is 8. 8 * 2x + 6 = 16x + 48

A retail store marks up its OTC (over-the-counter) merchandise 50% based on acquisition cost. What's the retail price of an item that costs $2?

Answers

divide 2$ by .50% and that is the retail price

a tank contains 8000 liters of water. each day, half of the water in the tank is removed. how much water will be in the tank at the end of:
a. the 4th day?
b. the 8th day?

Answers

4th day = 500 liters
8th day 31.25 liters

On first day the tank had 8000 liters of water.

Half is removed so half of 8000 is 4000.

Subtracting 8000-4000 =4000

So at the end of first day 4000 liters of water is there.

Water in the tank at the end of second day:

Again half of 4000 is removed.

half of 4000 is 2000.

subtracting 4000-2000 =2000.

At the end of second day 2000 l of water is present in tank.

At the end of third day:

Again half of 2000 is removed.

half of 2000 is 1000.

subtracting 2000-1000 =1000.

At the end of third day 1000 l of water is present in tank.

At the end of fourth day:

Again half of 1000 is removed.

half of 1000 is 500.

subtracting 1000-500 =500.

At the end of fourth day 500 l of water is present in tank.

At the end of fifth day:

Again half of 500 is removed.

half of 500 is 250.

subtracting 500-250=250.

At the end of fifth day 250 l of water is present in tank.

At the end of sixth day:

Again half of 250 is removed.

half of 250 is 125.

subtracting 250 - 125 =125.

At the end of sixth day 125 l of water is present in tank.

At the end of seventh day:

Again half of 125 is removed.

half of 125 is 62.5.

subtracting 125-62.5 =62.5.

At the end of seventh day 62.5 l of water is present in tank.

At the end of eighth day:

Again half of 62.5 is removed.

half of 62.5 is 31.25

subtracting 62.5 - 31.25 =31.25.

At the end of eighth day 31.25 l of water is present in tank.

A field has a length of 50.5 meters, and a width of 9.2 meters. What is the perimeter and the area of the field?

Answers

To find the perimeter, you add up all of the side lengths:

50.5 + 9.2 = 59.7
59.7 * 2 = 119.4

The perimeter is 119.4 meters. 

To find the area, you multiply the length and width together:

50.5 * 9.2 = 464.6

The area is 464.6 meters squared. 

Hope this helps!

A flashlight has 7 batteries, 5 of which are defective. If 5 are selected at random without replacement, find the probability that all of them are defective.

Enter your answer as a fraction or a decimal rounded to 3 decimal places.


The probability of getting all of them defective batteries is________?

Answers

71.4 % chance I think is your answer. 

Final answer:

The probability of selecting five defective batteries from a set of seven batteries, five of which are defective, is calculated by multiplying the individual probabilities of each selection. This results in an approximate probability of 0.048.

Explanation:

The probability of selecting all defective batteries from a group where 7 batteries are available and 5 are defective is obtained by calculating the probability of selecting a defective battery five times in a row without replacement.

The probability of the first battery being defective is 5/7, as there are 5 defective out of 7 total. If the first one is defective, there are now 4 defective batteries left out of 6. This makes the probability of the second being defective 4/6. We continue this pattern until we have:

Probability of 1st defective battery = 5/7

Probability of 2nd defective battery = 4/6

Probability of 3rd defective battery = 3/5

Probability of 4th defective battery = 2/4

Probability of 5th defective battery = 1/3

To find the overall probability of all being defective, we multiply these probabilities together:

P(all defective) = (5/7) × (4/6) × (3/5) × (2/4) × (1/3)

When we calculate this, we get:

P(all defective) = (5×4×3×2×1) / (7×6×5×4×3) = 120 / 2520 = 0.0476

Therefore, the probability is approximately 0.048 (rounded to three decimal places).

I was hoping for help on this question

Answers

n= 4 3/8y
n=.21c
.21c= 4 3/8y
.048c=y

yukon covers 4.8% of canada

how can you add a figure to a composite figure without increasing its perimeter? Draw a diagram to support your answer

Answers

We know perimeter is the amount of units around a figure. If we want to add to a composite figure without increasing the perimeter, we must add to it by using the space on the inside of the figure. For example, if we have a square, we can make it a composite figure by splitting the square with a diagonal line. This adds to the figure without adding to its perimeter.   

if 2x+5= 12 for some value of x, then what does 6x+20 equal???

Answers

1. Solve for x in 2x + 5 = 12
2x + 5 = 12       Subtract 5 from both sides.
2x = 7               Divide 2 from both sides.
x = 3.5

2. Substitute 3.5 in for x in 6x + 20
6(3.5) + 20
21 + 20
41

Your answer is 41.


Here is the answer to the question

angka 9,2,4, dan5 akan disusun menjadi dua bilangan berbeda. bilangan pertama disusun dari keempat angka dengan sussunan dari angka terbesar ke angka terkecil. bilangan kedua disusun dari empat angka dengan suaunan dari angka terkecil ke angka tebesar dengan terkecil yang dihasilkan adalah

Answers

Ini adalah Jawaban Tersertifikasi
Jawaban tersertifikasi mengandung isi yang handal, dapat dipercaya, dan direkomendasikan secara seksama oleh tim yang ekspert di bidangnya. Brainly memiliki jutaan jawaban dengan kualitas tinggi, semuanya dimoderasi oleh komunitas yang dapat dipercaya, meski demikian jawaban tersertifikasi adalah yang terbaik dari yang terbaik.

can someone help me to pose a word problem... the answer is in the picture
right below

Answers

Mr Howard bought 3 pizzas to share with 7 of the boys. What fraction of the pizza did each boy get?
There are 3 boxes of Legos, each with the same amount of Legos inside. There are 7 kids over to play, and they want to split the Legos evenly for each of them. How much of the boxes of Legos does each person get?

Hope this helps!

Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint. Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint. How does Tina's favorite shade of teal compare to Tyler's favorite shade of teal?

Answers

We have been given that Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint and Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint.

We can express the ratio of blue paint to green paint for both Tina as well as Tyler's favorite shades of teal as shown below.

For Tina: [tex]\frac{7}{5}[/tex]

For Tyler: [tex]\frac{5}{7}[/tex]

In order to compare the two ratios, we will have to make the denominators equal. Let us make denominators equal for both these ratios.

For Tina: [tex]\frac{7\cdot7}{5\cdot7}=\frac{49}{35}[/tex]

For Tyler: [tex]\frac{5\cdot5}{7\cdot5}=\frac{25}{35}[/tex]

Therefore, we can see that for equal amount of Green paint, Tina's favorite shade of teal contains [tex]\frac{49}{25}[/tex] times, that is almost twice the Blue paint that Tyler's favorite shade of teal contains.


Tina's favorite shade is more blue than Tyler's

HELLLLLLPPPPPPPPPP.......... i asked some friends for help and they didn't really understand it.... And my teachers are confusing me as well...

Answers

Hi there!

To find surface area, all you do is add up all of the areas if the faces.

41 × 32 = 1312
1312 × 2 = 2624

41 × 49 = 2009
2009 × 2 = 4018

32 × 49 = 1568
1568 × 2 = 3136

2624 + 4018 + 3136 = 9778

9778 ft squared would be the answer.

Hope this helps!
Hey there!

In this problem, we'll just be finding the surface area of a rectangular prism. In this example, a surface area is a sum of all the areas of each individual face. On this rectangular prism, we have 6 faces, and two of each kind. Our formula is:

SA = 2(lw + wh + lh)

Notice how it has a 2. That two is because those two variables just applies for one side, and there's two for each type of side. On this diagram, the rightmost side's area would be the width (32) times the height (49) and the product would be the area. Let's plug in our numbers:

SA = 2(41 * 32 + 32*49 + 41*49)

Multiply:

SA = 2( 1312 + 1568 + 2009) =

Add:

SA = 2(2880 + 2009)

SA = 2(4889)

SA = 9778 ft squared, or C.

Hope this helps!

Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with same size variable cut from each corner.
Part II: How does each variable expression relate to the length, width, and height of the box when folded?

Answers

We already know that our square sheet of cardboard has sides of 6 foot length, and after cutting a square of side x from each one of the corners, the new length of our sides will be [tex]6-2x[/tex]. Now, once we fold the sides to create our box, both the length and the width are going to be equal to [tex]6-2x[/tex]; after all, we are creating of box out of a square. The height on the other hand will be one the sides that we cut to create our box; therefore, the height will be [tex]x[/tex].
To summarize, after folding, we will have a box of height = [tex]x[/tex], width= [tex]6-2x[/tex], and length=[tex]6-2x[/tex] 

please help fast!! what is the surface area??

Answers

The two trapezoidal faces together have an area of
.. (5 in)*(5 in +9 in) = 70 in^2

The remaining surface can be unfolded to an area that is
.. (5 in)*(5 in +9 in +6.4 in +5 in) = 127 in^2

Together, these add to
.. 70 in^2 +127 in^2 = 197 in^2 . . . . . . . the 4th selection

How high is the stack of the two books? novel and 3/4 inches and dicitonary 41/2

Answers

3/4 + 4 1/2 = 5 1/4

If you mean that the dictionary is 41/2 then the answer = 3/4 + 20 1/2 = 21 1/4. That's a big diction though and not likely measured correctly.

What multiplication expression can you use to solve 627÷11?

Answers

HEY THERE:)

The expression you can use is 57 * 11 and it equals 627.

Hope this helps u!
good luck.

~ TRUE BOSS
The multiplication expression that you can use to solve 627/11 would be 11 times 57. To get this expression, I divided 627 by 11 to get 57, then to check my work, I did the expression 57 times 11 which gave me 627, so 57 times 11 is your answer.
I hope this helped! :-)

Please help me thankssssss

Answers

the correct answer is 0.421
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