Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 and one-half years?
$2,500
$9,159
$22,827
$23,791

Answers

Answer 1

Answer:

Step-by-step explanation:

The equation actually looks like this

[tex]V=P(1-r)^t[/tex] and filling in the info given:

[tex]V=25,000(1-.2)^{4.5[/tex] which simplifies to

[tex]V=25,000(.8)^{4.5[/tex]

Orders of operation tells us that we need to take care of the exponential stuff first, so

V = 25,000(.3663573) and

V = $9158.93 which rounds to what is shown as the second choice down: $9,159.

Answer 2

Answer:

B

Step-by-step explanation:

$9159  


Related Questions

Evaluate the expression when a=-5 and c=3.
a-5c

Answers

Answer:

its either -20 or -7

Step-by-step explanation:

i believe its -20 tho hope it helps

Answer:

-20

Step-by-step explanation:

a-5c

a = -5  and c=3

-5 -5(3)

Multiply

-5 - 15

-20

HELPPPPPPPPPP!!!! IF ITS RIGHT I WILL MARK

Solve 3t + 2 = 5t - 4
Options:

t = 3
t = -1
t = 2

Answers

Answer:

t=3

Step-by-step explanation:

Heres why i think t=3

Replace the T in 3t+2

3x3+2

9+2=11

11=5t-4

Now Replace the t again by 3

5x3-4

15-4

11

11=11

T=3

Answer:

t = 3

Step-by-step explanation:

3t + 2 = 5t - 4

2 + 4 = 5t - 3t

6 = 2t

6/2 = 2/2t

t = 3

if this helps you, please mark brainliest!

Please help simplify the expression

Answers

Answer:

6+3v

Step-by-step explanation:

(2+v) *3

Distribute

2*3 + v*3

6+3v

4 hamburgers cost $10.00 Fries cost $2 each. How much does ONE hamburger with fries cost?

A $14.10
B $12.00
C $4.50
D $3.50

Answers

C . 4.50
you divide 10 by 4 to get the price of one hamburger

Answer:

4.50

Step-by-step explanation:

divide 10 by 4. this equals 2.5, add the 2 dollars for fries and your answer is 4.5 dollars

donna has 40 ounces of an alloy containing 65% iron. How many ounces of a second alloy that is 42% iron should be mixed with the first alloy to get a new alloy this is 50% iron

Answers

40 oz of a 65% iron alloy contains 40 × 0.65 = 26 oz of iron.

x oz of a 42% alloy contains 0.42x oz of iron.

To end up with an alloy of 50% iron, Donna needs to use x oz of the 42% alloy such that

(26 + 0.42x) / (40 + x) = 0.50

Solve for x :

26 + 0.42x = 0.50 (40 + x)

26 + 0.42x = 20 + 0.50x

6 = 0.08x

x = 75

The circumference of the top rim of the cone shaped paper cut is 7.87 inches. Find the least amount of paper that can for a cone shaped cup

Answers

Answer:

14.55 square inches

Step-by-step explanation:

From the figure it is given that,

The circumference of the top rim of a cone shaped paper cut = 2πr = 7.87 inches

The slant height is l = 3.7 inch

Therefore the least amount of paper which can form a cone shaped cup is the surface area of the cone.

The surface area of the cone is given as :

[tex]$A=\frac{2 \pi r l}{2}$[/tex]

[tex]$A=\frac{(2 \pi r) (l)}{2}$[/tex]

[tex]$A = \frac{(7.87) \times (3.7)}{2}$[/tex]

[tex]$A=\frac{29.119}{2}$[/tex]

A = 14.55 square inches

Amount of paper required = 14.55 square inches

Help ASAP will give the Brainliest answer

The degree of the expression 4x^5y^m z is 10. What is the value of m?
A2
B 4
C5
D 10

Answers

The answer is C i just took the test
The answer is c hope that helps

If Z={x:x€ integrates -2<×<2}.List the elements of this set and also express it in description method. ​

Answers

Answer:

Z = {-1, 0, 1}

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Step-by-step explanation:

I guess that here we have:

Z = {x : x ∈ integers /  -2 < x < 2}

From this we know that:

Z contains only integer numbers.

Z contains only integer numbers that are larger than -2, and smaller than 2

Let's find these integers:

-1 is larger than -2 and smaller than 2

0 is larger than -2 and smaller than 2

1 is larger than -2 and smaller than 2

So our set is:

Z = {-1, 0, 1}

And in description method (just using words)

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Solve the inequality.
x + 5 < 6
x<

Answers

Answer:

x<1

Step-by-step explanation:

x+5<6 - 6-5

x<1

find h r=4 l=9
im lost

Answers

I Think The answer is33

Use Venn diagrams notation to describe the shading of
A
B

Answers

Answer:

A ∩ B

Step-by-step explanation:

The shaded part is in common between the two diagrams

We can write this part in this way :

A ∩ B

The shade part is where you write what each side has in common.

what connects the exterior angle at C with the sum of the angles at A and B​

Answers

Answer:

∠ C = ∠ A + ∠ B

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, so

C = A + B

Find The Area please help me ​

Answers

R=7m
r=3.14 r2
R=3.14x49
A=153

Can anyone help me with this question pls ! I would appreciate it !!
-
A great white shark swims 56 feet below sea level and is 97ft from the sail boat
What is the ANGLE OF DEPRESSION from the sail boat to the shark ?? ( round the the nearest WHOLE degree )

Answers

Answer:

35

Step-by-step explanation:

We use trignometry here

Assuming that the angle created between the surface of the sea and the 56feet below line is 90 degrees.

So we use the sin rule

sin90/97 = sin x/56

multiply 56 to the other side

56*sin90/97 = sin x

sin90=1

56/97 = sin x

x= sin^-1 (56/97)

x= 35.3

Round and you get 35

find the value of x.

Answers

Answer:

x = 83 degree

Step-by-step explanation:

x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)

x = 126 - 43

x = 83 degree

Answer:

83 degrees

Step-by-step explanation:

To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.

This equals 54 degrees.

Now, 54 + 43 equals 97.

Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.

PLEASE HELP! Find code (answer)

Answers

Answer:

so this is what I got (i could be wrong)-- H=8 G=21 F=24 E=2

Step-by-step explanation:

3(7+10) = G + 30

21 + 30 = G+30 (mutilpy-3 times 7 and 10)

minus 30 from both sides

21=G

5(3 + H) = 15 + 45

15 + 5H = 15 + 45 (multipy- 5 times 3 and H)

minus 15 from both sides

5H = 45

divde both sides by 5

H=8

For E all you have to do is list out all the multiples that makeup 22 and 30 and you should find that 2 is the answer

1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?

Answers

Answer:

1. The new weight of elephant is 5.342 tones.

3. The number of red flowers are 280.

Step-by-step explanation:

1. weight of elephant = 6 tons

weight lost = 1450 pounds

As , 1 pound = 0.000454 ton

So, 1450 pounds = 0.658 ton

The new weight of elephant is

= 6 - 0.658 = 5.342 tones

3.

red flower to the yellow flower is 5 : 7

Number of yellow flowers = 392

Let the red flowers are R.

So,

[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]

If f(x) - 4x2-3 and g(x) = x+1, find (f - g)(x).
O A. x - 4x2 - 2
O B. 4x - 3
O C. 4x2 - X-4
O D. 4x2 - X-2

Answers

Answer:

4x^2-x-4

Step-by-step explanation:

f(x) = 4x^2-3 and g(x) = x+1,

(f - g)(x)= 4x^2-3 -( x+1)

Distribute the minus sign

            =4x^2-3 - x-1

Combine like terms

            =4x^2-x-4

Answer:

C

Step-by-step explanation:

4x^2 - 3 - (x+1)

Distribute the -

4x^2 - 3 - x -1

=4x^2-x-4

So c

Which equation is perpendicular

Answers

Answer:

option A

Step-by-step explanation:

   [tex]y - 9 = \frac{2}{3} (x + 7)\\\\ y - 9= \frac{2}{3} x + \frac{14}{3}\\\\ y = \frac{2}{3} x + \frac{14}{3} + 9\\\\y = \frac{2}{3}x + \frac{14 +27}{3}\\\\y = \frac{2}{3}x + \frac{41}{3}\\\\[/tex]

Therefore, slope of the given line is

                                                    [tex]m_ 1 = \ \frac{2}{3}[/tex]

Find the slope of the new line

The product of slope of  lines perpendicular to each other = - 1

That is ,

            [tex]m_ 1 \times m_2 = - 1\\\\\frac{2}{3} \times m_ 2 = - 1\\\\m_ 2 = - \frac{3}{2}[/tex]

Find the equation of the line.

[tex]Let \the \ given \ points \ be \ ( x_ 2 , y _ 2 ) = ( 2 , 3 ) \\\\(y- y_2) = m_2 (x - x_ 2)\\\\( y - 3 ) = - \frac{3}{2}(x - 2)\\\\y = -\frac{3}{2}x + \frac{3 \times 2}{2} + 3\\\\y = - \frac{3}{2} x +3+3\\\\y = - \frac{3}{2} x +6\\\\[/tex]

c с
5 km
12 km
What is the length of the hypotenuse?
kilometers

Answers

Answer:

13km

Step-by-step explanation:

Answer:

c=13km

Step-by-step explanation:

13 (by pythagorean triples)

or you could use the pythagorean theorem to find c:

5^2+12^2=c^2

25+144=c^2

c^2=169

c=13

Convert 10m in cm.
♡​

Answers

Answer:

1000 cm

Step-by-step explanation:

Recall that 100 cm = 1 m.

This results in the conversion factor    100cm

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

                                                                   1 m

Then 10 m times the conversion factor shown above yields 1000 cm

       

Form a ribbon length of 25 1/2 how many pieces can be cut in length of 3/4​

Answers

Answẻ:  34

25 ½ :3/4 = 34

Answer:

Below.

Step-by-step explanation:

25 1/2 = 51/2

We divide this by 3/4 :

51/2 / 3/4

= 51/2 * 4/3

= 17*2

= 34

So we can cut 34 pieces of length 3/4.

8 + 52) X [(9 - 7)2 ➗ 2

Answers

I think answer is 120 right?

Sorry if my answer is incorrect.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {120}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](8 + 52) \times [(9 - 7)2 \div 2][/tex]

➼[tex] \: (60) \times [(2)2 \div 2][/tex]

➼[tex] \: (60) \times (4 \div 2)[/tex]

➼[tex] \: 60 \times 2[/tex]

➼[tex] \: 120[/tex]

Note:-

[tex]\sf\purple{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

What is the probability that if you combined your mnms, you would choose the following colors in order: Red, green, orange, yellow

Answers

Answer:

Step-by-step explanation:

1/1044

6/30 x 5/29 x 3/28 x 7/27 = 1/1044

Help me please! I will give brainliest!

Answers

Answer:

i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.

which one of the following is product of(-3n)and(4mn-5n)​

Answers

I think the answer isX=50 x=10

Still trying to understand this help

Answers

Start. With 4 divided by 5. =. .80. They cost 80 cents an ounce.

The second part is 1 divided by .80. = 1.25 ounces.

Three Bell ringing constituency in intervals of 30,36 and 45 minutes respectively. At what time will they ring together again if they ring simultaneously at 8:00 a.M.​

Answers

Answer:

The bells will ring simultaneously at 11.00 a.m

Step-by-step explanation:

Firstly, what we have to do here is to get the lowest common multiple the three numbers

The numbers are the given minutes

These are 30,36 and 45 minutes

The lowest common multiple of these three is 180 minutes

Now, we convert this to hours

60 minutes = 1 hour

180 minutes = x hours

x * 60 = 180 * 1

x = 180/60

x = 3 hours

If we added this to 8 am, we have 8 + 3 = 11 a.m

find the value of a²+b
if...
a=-2 and b=5

Answers

Answer:

9

Step-by-step explanation:

a²+b

Substituting values,

=> (-2)^2+5

=> 4 + 5

=> 9

Answer:

9

Step-by-step explanation:

a² + b

Where we have :- a = -2 & b = 5

plug the values

= ( -2)² + 5= 4+ 5= 9

( 15points)Help!!! I need to finish this less than 10 minutes

PlzzPlease help me bunnies <3
No monkey business plz. Or I will report

Answers

Okay! When you are ready, let me know what you need help with. Just comment this answer!

What is the question here?

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