Joe bought a car for $9,000 in 2013. His purchase has depreciated 2.5% every year since then. What was his car worth in 2019 to the nearest dollar?
a. $7650
b. $7732
C. $8350
d. $1602​

Answers

Answer 1

Answer:

b. $7732

Step-by-step explanation:

Value of a depreciating product:

The value of a depreciating product, after t years, is given by:

[tex]V(t) = V(0)(1 - r)^t[/tex]

In which V(0) is the initial value and r is the decay rate, as a decimal.

Joe bought a car for $9,000 in 2013. His purchase has depreciated 2.5% every year since then.

This means that [tex]V(0) = 9000, r = 0.025[/tex]. So

[tex]V(t) = V(0)(1 - r)^t[/tex]

[tex]V(t) = 9000(1 - 0.025)^t[/tex]

[tex]V(t) = 9000(0.975)^t[/tex]

What was his car worth in 2019 to the nearest dollar?

2019 is 2019 - 2013 = 6 years after 2013, so this is V(6).

[tex]V(6) = 9000(0.975)^6 = 7732[/tex]

The correct answer is given by option b.


Related Questions

PLS HELP!! need the answer asap

Answers

Answer:

1.) 113 degrees and 2.) 67 degrees

Step-by-step explanation:

(x + 33) + (x - 13) = 180

Add like terms:

2x + 20 = 180

2x = 160

x = 80

x + 33 =

80 + 33 =

113 =

x - 13 =

80 - 13 =

67 =

Which associations best describe the scatter plot?

Select each correct answer.

A) Nonlinear association

B) Positive association

C) Negative association

D) Linear association

Answers

Answers:

C) Negative association

D) Linear association

If f(x)=1/x
and g(X) = x-2, which of the following is the graph of
(f•g)(x)?

Answers

Answer:

The correct answer would be A) on edge.

Step-by-step explanation:

Edge 2021.

Which expression is equivalent to 250 + 150 ?

Answers

Answer:

if 25c + 15d = 0, then d = -25/15c

Step-by-step explan

just yes, that

We can simplify it by dividing both numbers by 10 and then by 5 to get 5 to 3: 250 : 150 25 : 15 5:3 . The ratio 5 to 3 is the simplest form of the ratio 250 to 150, and all three ratios are equivalent.

Find the value x in the triangle shown below

Answers

Answer: 70º

Step-by-step explanation:there are two angles with the same measurement on the vertices, therefore with the same angle. A triangle has a sum of 180º in the inside angles. 55º+55º=110º, and 180º-110=70º

If 4 containers of yogurt cost $2.76, how many containers of yogurt can you purchase with $9.66?

Answers

14 containers

2.76 / 4 = 0.69

9.66/0.69= 14 containers

FAST HELP PLEASE

A Square weighs 7 grams and a Triangle weighs 8 grams. How much does a Circle weight

Answers

Answer:

69420

Step-by-step explanation:

6

ayudaaaaa por favor

Answers

Answer:

La respuesta es treinta coma seis.

Espero que esto ayude.

PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!

Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.

a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.

b. What are the speeds of the two cyclists? _______________

Answers

Answer:

4r + 4(r + 3) = 68

r = 7 miles per hour

r + 3 = 10 miles per hour

Step-by-step explanation:

distance = rate * time

a)

4r + 4(r + 3) = 68

Distribute

4r + 4r + 12 = 68

8r + 12 = 68

8r = 56

r = 7 miles per hour

r + 3 = 10 miles per hour

a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68

b) The speed of both cyclists are 3mi/hr and 10mi/hr respectively

The formula for calculating the distance covered is expressed as:

Distance = speed * time

Let the speed covered by one cyclist be t

If one cycles 3 miles per hour faster than the other, the speed of the other will be t + 3

If both meet after 4 hours of riding, then their time will be 4 hours

Distance covered the first cyclist = 4r

Distance covered by the second = 4(r+3)

If the two cyclists are 68 miles apart, then:

4r + 4(r+3) = 68

a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68

b) Expand the equation in a to get "r"

4r + 4r + 12 = 68

8r + 12 = 68

8r = 68 - 12

8r = 56

r = 56/8

r = 7miles per hour

Speed of the first cyclist = 7mi/hr

Speed of the second cyclist = 3 + 7mi/hr = 10mi/hr

Hence the speed of both cyclists are 3mi/hr and 10mi/hr respectively

Learn more here: https://brainly.com/question/19915685

I need help solving this. Help!!!!!

Answers

Answer:

48

Step-by-step explanation:

MPQ + QPN = MPN

9x-6 + 5x+7 = 85

Combine like terms

14x+1 = 85

Subtract 1 from each side

14x+1-1 = 85-1

14x = 84

Divide by 14

14x/14 = 84/4

x=6

We want MPQ

MPW = 9x-6 = 9*6 -6 = 54-6 =48

The cost of renting a car is $55/wk plus $0.15/mi traveled during that week. An equation to represent the cost would be y = 55 + 0.15x, where x is the number of miles traveled. If your cost was $64.75, how many miles were you charged for traveling?

Answers

Answer:

65 miles

Step-by-step explanation:

y=55+0.15x

64.75=55+0.15x

9.75=0.15x

x=9.75/0.15

x=65 miles

Find the length x (plz help giving BRAINLY)​

Answers

Answer:

x=3

Step-by-step explanation:

2 triangles are proportional so we have

4/6=x/4,5

--> x=(4.4,5)/6=3

You can also use sin cos but this way is faster

X=3 dkdndkdbdjdn didjd

Using what you have learned about solving systems of equations, find the number that represents the apple, banana, and cherry.

Answers

Answer:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Step-by-step explanation:

Given

[tex]A \to Apple[/tex]

[tex]B \to Banana[/tex]

[tex]C \to Cherry[/tex]

From the rows, the equation is:

[tex]B + 2A =12[/tex] --- (1)

[tex]2B + C = 13[/tex] --- (2)

[tex]A + 2C = 14[/tex] --- (3)

Make A the subject in: [tex]A + 2C = 14[/tex]

[tex]A = 14 -2C[/tex]

Substitute [tex]A = 14 -2C[/tex] in [tex]B + 2A =12[/tex]

[tex]B + 2(14 - 2C ) = 12[/tex]

[tex]B + 28 - 4C = 12[/tex]

Make B the subject

[tex]B = 4C - 28 +12[/tex]

[tex]B = 4C -16[/tex]

Substitute [tex]B = 4C -16[/tex] in [tex]2B + C = 13[/tex]

[tex]2(4C - 16) + C = 13[/tex]

[tex]8C - 32 + C = 13[/tex]

Collect like terms

[tex]8C + C = 13+32[/tex]

[tex]9C = 45[/tex]

Divide by 9

[tex]C = 5[/tex]

Recall that:

[tex]B = 4C -16[/tex]

[tex]B =4*5-16[/tex]

[tex]B =20-16[/tex]

[tex]B =4[/tex]

Recall that:

[tex]A = 14 -2C[/tex]

[tex]A= 14 -2*5[/tex]

[tex]A= 14 -10[/tex]

[tex]A =4[/tex]

Hence:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Let point C be the center of the circle below. What is the
approximate length of minor arc XZ? Answers are in inches.

NEED ANSWER ASAP please, check the picture

Answers

Answer:

8.58

Step-by-step explanation:

the length of minor arc XZ

= 82/360 × 2 × 3.14 × 6

= 8.58 in

You have $3.40 and would like to buy some coffee. If a pound costs $8, how many ounces can you buy?

Answers

Answer:

6.8 ounces

Step-by-step explanation:

1 lb = 16 oz

3.40/8 * 16 = 6.8

Pleaseeee help is for today

Answers

Answer:

4

Step-by-step explanation:

yes

Which graph represents an exponential function?i

Answers

jxjfjfjfjcjfjfjjfjfjfbfjfj

PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS

Choose the polynomial written in standard form.

xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x

Answers

Answer:

Can you please organize them so that the exponents are marked as x^2?

Step-by-step explanation:

To me, none of this is in standard form because the numbers are before the variables.

Using AJKL, what is the length of JK? Answers are in feet.
NEED HELP ASAP

Answers

Answer:

JK = 21 ft

Step-by-step explanation:

To find JK = x, apply Trigonometry function.

Reference angle = 65°

Opposite side = JK = x

Adjacent side = KL = 10 ft

Apply TOA:

Tan 65° = Opp/Adj

Tan 65° = x/10

Multiply both sides by 10

10*Tan 65° = x

21.4450692 = x

x = 21 ft (nearest feet)

If the code AXISEM represents the number 9.54207, what number is represented by the code XlS + SEX? a.AIM b.MIM c.MES d.SIX​

Answers

Answer:

B. MIM

Step-by-step explanation:

A = 9

X = 5

I = 4

S = 2

E = 0

M = 7

XIS = 542, SEX = 205

542 + 205 = 747

747 = MIM

I am Looking For help with applications of inductive reasoning
1=1*1
1+9=2*5
1+9+17=3*9

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{1\times1=1}\\\\\bullet\large\textsf{This statement is TRUE because anything times (or multiplied)\ by 1}\\\large\textsf{is mostly likely 1}[/tex]

[tex]\mathsf{1+9=2\times5}\\\mathsf{1+9=\bf 10}\\\mathsf{2\times5}\\\mathsf{= 5+5}\\\mathsf{= 2 + 2 + 2 + 2 + 2}\\\mathsf{= \bf 10}\\\\\\\bullet\large\textsf{This statement is also TRUE because BOTH NUMBERS are EQUIVALENT}\\\large\textsf{to EACH OTHER}[/tex]

[tex]\mathsf{1 + 9 + 17 = 9\times3}\\\\\mathsf{1+9+17}\\\mathsf{1 + 9 = \bf 10}\\\mathsf{\bold{10}+ 17}\\\mathsf{= \bf 27}\\\\\\\\\\\mathsf{9\times3}\\\mathsf{= 9+9+9}\\\mathsf{3 +3 +3 +3+ 3 +3 + 3 + 3+ 3}\\\mathsf{= \bf 27}\\\\\\\\\\\bullet\large\textsf{This statement as well is TRUE because BOTH NUMBERS are}\\\large\textsf{equivalent to each other}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: All statements to these equations are \bf \huge TRUE}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Triangle A
Triangle B
Triangles A and B are
O A. only similar
O B. only congruent
O C. both similar and congruent
D. none of the above

Answers

I think it’s A
hope this helps

Does the point (3,25) lie on the line y = 6x + 7?

Answers

yes it! does lie on the line

Answer

Yes

Step-by-step explanation:

Replace x and y

[tex](3 \: \: \: 25)[/tex]

[tex]y = 6x + 7 \\ 25 = 6 \times 3 + 7 \\ 25 = 18 + 7 \\ 25 = 25[/tex]

So, the point (3,25) lie on the line y=6x+7

hope this helps you.

Have a nice day!

pic is there answer 20 points

Answers

Answer:

(x+8)^2=0

Step-by-step explanation:

x^2+16x+64=0

8x8=64

8+8=16

Therefore, 8 fits

(x+8)^2=0

If this helps please mark as brainliest

the answer is (x+8) squared(2)=0

Solve for 2. Round to the nearest tenth, if necessary,
С
2.5
41

Answers

Answer:

3.8

Step-by-step explanation:

We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.

Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8

The tree nearest to the classroom is 30 feet tall.
In another 10 years it will grow 5 more feet.
If the variable h stands for the height of the tree 10 years
from now,
which of the following units could apply to that variable?

A. Feet

B. Trees

C. Pounds

D. Years

Answers

Answer: Feet

Step-by-step explanation:

A. Feet because that is the unit of measure you are working with in that case.

In the graph above, which vertical line (v) and horizontal line (H) can be used to graph point C

Answers

Answer:

V:  x= -3

H:  y= -3

Step-by-step explanation:

1. In two similar triangles, find the ratio of:
b. the perimeter, if the areas are 50cm and 16cm.​

Answers

Answer:

54cm and 36cm

Step-by-step explanation:

triangle a : triangle b

50cm² : 16cm²

25 : 8

thus,

area of triangle a :

2cm×25cm

=50cm²

area of triangle b :

2cm×16cm

=32cm²

then,

perimeter of triangle a:

2cm+2cm+25cm+25cm

=54cm

perimeter of triangle b:

2cm+2cm+16cm+16cm

=36cm

Get brainiest if right?

The sum of four consecutive numbers is two more than three
times the greatest of these numbers. Find the numbers.

Answers

Answer:

1, 2, 3, 4

Step-by-step explanation:

x+(x+1)+(X+2)+(X+3)+2 = 3(X+3)

4X+8=3x+9

x=1

Answer:

5,6,7,8

Step-by-step explanation:

5+6+7+8=26

8*3=24

26-24=2

Which statement is true?

A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

B. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides.

C. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides.

D. Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides.

Answers

Answer:

The correct answer is A I believe . . .

Answer:

A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

Step-by-step explanation:

Rectangles are parallelograms since they have 2 pairs of parallel sides.  All rectangles also have 4 right angles and 2 pairs of opposites sides that are of equal lengths.

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