The price of a car is currently 120,000$. The price of the car decreases annually by 2.5%. What is the price of the car after 8 years?

Answers

Answer 1

Answer:

97,988.216

Step-by-step explanation:

So, we can find this by using the following formula:

First value(change)^time

We know that the orginal, or first value, is 120,000.

We know that the time interval for this is 8 years, which is our time value.

We know that the decrease in this price is 2.5%. However, this is not our change.

Our change is the 97.5% price that is left.

This makes sense, because you would get a super small price when you use 2.5% as change.

So to sum up what we have done so far:

First value - 120,000

Change - 100%-2.5% = 97.5%. In decimal form: 0.975

Time - 8

So lets plug these into:

[tex]First_.value(change)^t^i^m^e[/tex]

=

[tex]120,000(0.975)^8[/tex]

And remember your order of operations here.

We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.

We have the exponent 8, which is attached to the 0.975.

So in your calculator, take 0.975, and put it to the 8th power.

You should get 0.816651803662261962890625

Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.

Now  our equation looks like:

120,000(0.816651803662261962890625)

We have done parethese, exponents - now we have multiplication and division.

We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:

[tex]120,000*0.816651803662261962890625[/tex]

Now multiplying this you should get:

97,998.216439471435546875

This is where you can round your answer.

I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:

97,998.22

So this is the new price of the car!

Hope this helps!

Answer 2

oh I did a mistake earlier , pardon ^^"

Current price (Pₒ) = 120, 000 $Rate of Depreciation (R) = 2. 5% Total Time = 8 years

Let price after 8 years be P.

Using the compound interest formula of shrinking principal :-

P = Pₒ( 1 - R/ 100) ᵀ

P = 120, 000 ( 1 - 2.5/ 100)ᵀ

P = 120, 000 { (100 - 2.5)/ 100}ᵀ

P = 120, 000{ 97. 5/ 100 }ᵀ

P = 120, 000 {0. 975 } ⁸

P = 120, 000 { 0. 8166}

P = 97,998.216 $

Since, P is is price after 8 years

Answer:-

The price of the car after 8 years will be 97, 998. 216 $


Related Questions

90×(2÷12) please help its for maths

Answers

Answer:

15

Step-by-step explanation:

You would divide 2 by 12 first and then multiply it by 90.

Answer:

Step-by-step explanation:

90 * (2 ÷ 12)

90 *([tex]\frac{1}{6}[/tex])

90*1/6

90/6

15

therefore 15 is the required answer.

Which number is a composite number?
A:17
B:37
C:13
D:63

Answers

Answer:

D. 63

Step-by-step explanation:

It has more than two factors. (composite)

Answer:

D. 63

Step-by-step explanation:

17 = 1 × 17

37 = 1 × 37

13 = 1 × 13

63 = 3 × 3 × 7

Convert. Round to 3 decimal places.

7 quarts ≈ ____ liters

Answers

1 quart = 0.9463 liters

8 quarts x 0.9463 = 7.5704 liters

Rounded to 3 places 7.540

Also depending on the exact conversion used it could would to 7.541 liters

Answer:

7 quarts = 7.5704

Step-by-step explanation:

We know that

1 quarts = 0.9463 litres

7 quarts = 8 × 0.9463 = 7.5704 litres

A distance of 8.5 kilometers is equivalent to 850 meters.
True
False

Answers

False

Explanation:
1 kilometer = 1,000 meters

Multiply both by 8.5:
8.5 kilometers = 8,500

Have a nice day, hope this helps
Brainliest is appreciated if my answer is
correct!
-SpaceMarsh, have a nice day!

Answer:

true

Step-by-step explanation:

In City Lake, researchers caught, marked, and released 213 bass. Later, they took a sample of 104 bass and found that 13 were marked. Estimate the number of bass in the lake.
A. 1704 bass
B. 520 bass
C. 27 bass
D. 1846 bass

Answers

Answer:

A : 1704

Step-by-step explanation:

13/104 = 213/1704

The estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.

What are the population and sample?

The population and sample are described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have given that, the researchers caught, marked, and released 213 basses. Later they took a sample of 104 basses and found that 13 were marked.

Proportion = 104/13 = 8

It means 1 marked fish in every 8 fish

The number of basses in the lake = 8×213 = 1704 bass

Therefore, the estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.

Hence, they took a sample of 104 basses and found that 13 were marked option A; 1704 is correct.

Learn more about the population and sample here:

brainly.com/question/9295991

#SPJ2

Explain Please
x =
8
10
9

Answers

Answer:

X = 8

Step-by-step explanation:

The given parameter are;

The length of the segments of the chords are;

Lengths of segments in Chord 1; 5, and X

Lengths of segments in Chord 2; 4, and 10

According to the Intersecting Chords Theorem, where we have two intersecting chords or secants, then, the result of multiplying the segments of one chord is equal to the result obtained from multiplying the segments of the other chord, therefore according to the theorem, we have;

5 × X = 4 × 10

∴ X = 4 × 10/5 = 8

X = 8.

Clara goes minature golfing. She pays $7.50 admission and $6.25 for each round of she golfs. The total amount Clara pays including admission and the rounds of golf is $26.25. Which equation can be used to determine the number of rounds of golf she did?

Answers

Answer:

The equation that can be used to determine the number of rounds of golf she did

7.50 + 6.25x = 26.25

Apply the distributive property to factor out the greatest common factor.
56 + 32 =
2
+
Х

Answers

I’m pretty sure it’s 86, because you need to subtract 2 from the first side then you have 86 = X

Margo borrows $200, agreeing to pay it back with 2% annual interest after 16 months. How much interest will she pay?

Answers

Answer:

$4

Step-by-step explanation:

2/100 x 200 = 4

You own a house with an appraised value of $300,000. Your equity in the home is $125,000. What is your mortgage balance?

Answers

Answer:

The mortgage balance is $175,000

Step-by-step explanation:

Remember:  House value = equity + mortgage.  Therefore,

                     $300,000     = $125,000 + mortgage balance

The mortgage balance is $175,000.

Judging by appearance, classify the figure in as many ways as possible.

Answers

Answer:

A. Quadrilateral, kite

Which is a quadratic equation?
a. y=x+9
b. y=2x-15
c. y=x^2+2x-7
d. y=x^3-x^2

Answers

Answer:

c. y=x^2+2x-7

Step-by-step explanation:

A linear function has the highest power of 1   (x)

A quadratic has the highest power of 2  (x^2)

A cubic has the highest power of 3  ( x^2)

a. y=x+9  linear

b. y=2x-15  linear

c. y=x^2+2x-7  quadratic

d. y=x^3-x^2 cubic

Quadratic Function is the equation that takes form of:

[tex] \large \boxed{y = a {x}^{2} + bx + c}[/tex]

where a, b and c both are real number and a ≠ 0.

The first and second choices are linear equation because it's in the form of y = mx+b.

The last choice is a cubic equation since it has the third degree x³.

Remember that the quadratic equation can be ax²+bx+c = 0 or y = ax²+bx+c only.

Answer

y = x²+2x-7

Factor 56−16 using the GCF.
do not give me a link

Answers

F of 56 :- 2 × 2 × 2 × 7

F of 16 :- 2 × 2 × 2 × 2

HCF of 56 - 15 is 6 .

Anyone help me please. A circle has a circumference
of 36. What is the radius of
the circle? Take pi to be 3.142. State the answer to one decimal
place.​

Answers

The circumference of a circle is pi x 2 x radius.

To find the radius, divide the circumference by pi, then divide that by 2:

36/3.142 = 11.4576703

Radius = 11.4576703/2 = 5.7288

Rounded to one decimal place the radius is 5.7 units.

Answer:

[tex]R=5.7[/tex]

Step-by-step explanation:

[tex]Radius=\frac{Circumference}{2\pi }[/tex]

[tex]R=\frac{36}{2(3.142)}[/tex]

[tex]R=\frac{36}{6.284}[/tex]

[tex]R=5.728835137[/tex]

[tex]R=5.7[/tex]

Hope this helped :)

41. Suppose a laboratory has a 60 g sample of polonium-210. The half-life of polonium-210 is about 138 days.
a. How many half-lives of polonium-210 occur in 828 days?
b. How much polonium is in the sample 828 days later?
a. 6; 0.94 g
c. 6; 10 g
b. 7;0.47 g
d. 6; 4,140 g
ettings

Answers

a. 6 half-lives; 0.94 g remaining

828 / 138 = 6

60 x 0.5^6 = 0.9375


Dan earns $9.50 per hour as a dishwasher. Determine the fewest number of hours he must work to earn
more than $408.

Answers

Answer:

43 hours

Step-by-step explanation:

[tex]\frac{y}{1} :\frac{408}{9.5}[/tex]

y × 9.5 = 408 × 1

9.5y = 408

9.5y ÷ 9.5 = 408 ÷ 9.5

[tex]y=42\frac{18}{19}[/tex]

43 hours

9.50x>=408
____ ___
9.50 9.50

X> = 42.9 or 43

So 43 hours

You might need:

Calculator

Kenji runs a channel where he uploads and shares videos that he makes. He noticed an exponential

relationship between how long his videos have been posted and the number of times each video has been

viewed.

Kenji took the natural logarithm for the numbers of views only, and he noticed a linear relationship

between the how long his videos have been posted and the transformed numbers of views

Here's the least-squares regression equation for the transformed data, where "time" represents days since

posting, and "views" is the number of views

In(views) = 0.81(time) + 3.15

According to this model, what is the predicted number of views on a video that's been posted for 3 days?

You may round your answer to the nearest whole number.

views

Show Calculator

Answers

Using the logarithmic function, it is found that the predicted number of views of the video after 3 days is of 57.

The function that represented the relationship between the time in days and the number of views is given by:

[tex]\ln{v} = 0.81\ln{t} + 3.15[/tex]

We want the number of views after 3 days, thus, [tex]t = 3[/tex], and we have to solve for v.

[tex]\ln{v} = 0.81\ln{3} + 3.15[/tex]

[tex]\ln{v} = 0.89 + 3.15[/tex]

[tex]\ln{v} = 4.04[/tex]

[tex]e^{\ln{v}} = e^{4.04}[/tex]

[tex]v = 57[/tex]

57 views.

A similar problem is given at https://brainly.com/question/24286043

oWhich value completes this table?

Answers

Answer:

When x = -1, f(x) = 2

Step-by-step explanation:

f(x) = (1/2)^x

When x = -4

f(x) = (1/2)^x

f(x) = (1/2)^-4

= 1 ÷ (1/2)^⁴

= 1 ÷ 1^⁴/2^⁴

= 1 ÷ 1/16

= 1 × 16/1

= 16

When x = -1

f(x) = (1/2)^x

= (1/2)^-1

= 1 ÷ 1/2^1

= 1 ÷ 1/2

= 1 × 2/1

= 1 × 2

= 2

When x = -1, f(x) = 2

What is the likely means of measurement for the data in the chart below?

a. 100-meter run data
b. seconds
c. stop watch
d. 7 observations

Answers

Answer:

C

Step-by-step explanation:

I might be wrong. I hope it helps:)

May be is C I’m not sure

Ive friends each knit one part of a scarf that is 1 5 12 yards long. Which shows the fractions of the scarf each friend could have knit? A. 1 12 + 2 12 + 3 12 + 8 12 + 4 12 B. 1 12 + 6 12 + 3 12 + 2 12 + 4 12 C. 2 12 + 3 12 + 3 12 + 2 12 + 5 12 D. 5 12 + 1 12 + 4 12 + 2 12 + 5 12

Answers

Answer:

D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12

Step-by-step explanation:

Ive friends each knit one part of a scarf that is 1 5/ 12 yards long.

Hencfy, the fractions of the scarf each friend could have knit is calculated by comparing the options

A. 1 /12 + 2 /12 + 3 /12 + 8 /12 + 4 /12

Lowest Common Denominator = 12

Hence = 18/12 = 1 6/12 = 1 1/2

Option A is wrong

B. 1 /12 + 6/ 12 + 3 /12 + 2 /12 + 4 /12

Lowest Common Denominator = 12

Hence = 16/12 = 1 4/12 = 1 1/3

Option B is wrong

C. 2/12 + 3/ 12 + 3/ 12 + 2/ 12 + 5/ 12

Lowest Common Denominator = 12

Hence = 15/12 = 1 3/12 = 1 1/4

Option C is wrong

D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12

Lowest Common Denominator = 12

Hence = 17/12 = 1 5/12

Option D is correct

Therefore, the fractions of the scarf each friend could have knit is Option D

hey, this is the last thing I'm asking help with today.thank you

Answers

Answer:

A

Step-by-step explanation:

the middle angle has to be equal to make the entire angle equal

999f=4,131

Solve for f.

Answers

Answer:

4.135

Step-by-step explanation:

f = 4131/999

f = 4131 ÷ 999

4131 ÷ 999 = 4.1351351351

Answer:

4.135

Step-by-step explanation:

f = 4131 / 999 = 4.135

A trader bought 5 bags of rice at GHC 210 each. If he sold them at a profit of 20%, what was the selling price per bag?​

Answers

Answer:

$252

Step-by-step explanation:

First you need to find how much is 20% is of 210

210*0.20=$42

Add 42 dollars to 210

210+42=$252

So the starting price per bag that he was selling was $252

WILL GIVE BRAINLIEST AND 20 POINTS!
Find the slope of the line in the following graph using the points on the graph. Write the exact answer. Do not round. If the slope does not exist, write DNE for your answer.
(-5,2)(6,7)

Answers

Answer:

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

y2 = 7

y1 = 2

x2 = 6

x1 = - 5

There is no particular reason for choosing which one is (x2,y2) and (x1,y1) The slope would turn out to be the same which ever way you tried it.

slope = (7 - 2)/(6 - - 5)   Notice the double minus. One of the minus symbols belongs to the formula and the other belongs to the 5

slope = 5/(6 + 5)

slope = 5/11

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

The slope of a line that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1,y_1)=(-5,2),\\(x_2, y_2)=(6,7)[/tex]

The slope of the line, [tex]m[/tex], that passes through these points is equal to:

[tex]n=\frac{7-2}{6-(-5)}=\frac{5}{6+5}=\boxed{\frac{5}{11}}[/tex]

Calculate the sizes of the unknown angles in each diagram.

Please, answer with explanation.

Answers

Step-by-step explanation:

a) 2z+3z+4z=180

9z=180

z=20

So,three angles are 40,60 and 80

b) (y+30)+(2y+80)+(y+10)=180

y+30+2y+80+y+10=180

4y+120=180

4y=60

y=15

Three angles are 45,110,25

multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4​

Answers

Answer!4x² + 3x + 4Solution!

__________________________

Step 1: Combine 3x² and 1x² to get 4x²

Step 2: Combine 5x and -2x to get 3x

3x² + 5x + 1 × x² - 2x + 4

= 4x² + 5x - 2x + 4= 4x² + 3x + 4

___________________________

Which of these tables represents a function?​
(Pleasee it's urgent!!!!)))

Answers

Answer:

laaa umm la w..............

Please help me answer my question​

Answers

It’s 40 cm 20 on top and bottom

Answer:

SA= 882cm^2

Step-by-step explanation:

SA=2( width*length + hight*length + hight*width )

SA=2( 9*20+ 9*20+ 9*9)

SA= 2*441

SA=882cm^2

Which outcome is most likely after a die is rolled?
A.
B.
A number greater than 6
A number less than 6
A number less than 3
A number less than 2
C.
D.​

Answers

Answer:

a number less then 6 is the anser so the 1st one


Use SOH CAH TOA to identify the Tangent Z.

Answers

SOH = Sine Opposite Hypotenus

CAH = Cosine Adjacent Hypotenus

TOA = Tangent Opposite Adjacent

Based on the key I wrote above, TOA is what you will use. Starting from angle Z look at the opposite side and adjacent side. (Opposite = 21 and Adjacent = 20) Make sure you're not looking at the hypotenus which is the side that is always across from the 90° angle.

Going by opposite over adjacent, that would be 21/20

The answer is the first choice 21/20

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