The cost of an limited edition figurine starts at $255 and it increases in value by 8% each year. What is the growth or decay rate as a decimal? What is the initial value? Write an exponential model that represents the cost f (t) of the figurine t years after it's bought. After 6 years the figurine's value is ?

Answers

Answer 1

Answer:

Growth rate = 8% = 0.08

Initial value (Po) = $255

F(t) = Po* e^rt

F(t) = $412.09897

Step-by-step explanation:

Given that:

Initial cost = $255

Rate of increase per year (r) = 8% = 0.08

Growth rate :

Final amount = Initial amount * (1 + rate)^time

Growth rate = 8% = 0.08

Initial value (Po) = $255

Exponential model for the cost :

F(t) = Initial value * e^(rate * time)

F(t) = Po* e^rt

Value after 6 years :

F(t) = Po* e^rt

t = 6

F(t) = 255 * e^(0.08*6)

F(t) = 255 * 1.6160744

F(t) = $412.09897


Related Questions

could somebody help

Answers

Answer:

112

Step-by-step explanation:

[tex]12 + (( {5}^{2} ) \times 4) \\ 12 + (25 \times 4) \\ 12 + 100 \\ = 112[/tex]

please mark as brainliest

The total cost in dollars to buy uniforms for the Ping-Pong team can be found using the function c=22.50+5 where u is the number of uniforms bought.if there are at least 7 players but not more than 10 players on the Ping-Pong team, what is a reasonable range for the situation? A.{7,8,9,10} B.{162.50 , 185, 207.50, 230} C. 7≤ x ≤ 10 D. 162.50 ≤ y ≤ 230

Answers

answer: b

explanation:

it’s asking for the range so it can’t be c or d because those are used in continuous data only so it’s between a and b but it can’t be a as a is the range of players but b is the range of the cost so the answer would then be b

I NEED HELP ASAP PLSSSSSSS

Answers

Answer:

53 degrees

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

180-127=53



A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point
(6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain

Answers

I realize that the equation is different, but do it in the same way, it'll help! It is given that the water​ taxi's path can be modeled by the equation y =0.5(x - 14)^2. ​Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water​ skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the​ y-intercept of the line.  The​ y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the​ taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of​ equations, solve the system using substitution.​ First, write the equation that models the water​ taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for  y in the equation and then solve for  x. As the expression on the left side of the equation cannot easily be​ factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.

In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.

A) 41 cm2
B) 54 cm2
C)81 cm2
D)121.5 cm2

Answers

Answer:

C.

Step-by-step explanation:

you have to use the equation 4pir^2. After simplifying, it comes out to 81pi cm^2

ASAP!!!!!!!!!!!! I NEED HELP!!!!! I WILL MARK BRAINLIEST!!!!!!!

Answers

I think your answer is 9, as 3 divided by 9 is 0.3 is equal to 1/3
I think the answer would be 9

Please help! 2nd time asking!

Answers

Answer:

4

Step-by-step explanation:

Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.

Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.

0 - 4= I-4I or 4

What is the product of 3/5 and 10/11?

Answers

Answer:

6/11

Step-by-step explanation:

Rachel is buying school supplies. She needs to buy a binder for $4.50, whiteboard markers for $7.00 and some mechanical pencils for $0.29 each. She can spend up to $13.00. Which inequality can be used to find m, the number of mechanical pencils she can buy?

Answers

0.29m + 4.50 + 7 < or equal to 13 ;)


Adah produces scented candles. The cost of producing a candle is $1.25. Adah sells a candle for $2.50. She has a start-up costs of $300.

a) Write a system of two equations that models this situtaiton.

b) Determine the number of candles Adah must sell to break even. Solve the system using your chosen method and identify the method used.

Answers

Answer:

(a) The system of two equations are

c = $300...(1)

p = x × ($2.50 - $1.25)...(2)

(b) The number of candles she must sell to break even are 240 candles

Step-by-step explanation:

The cost of of producing a candle = $1.25

The price at which Adah sells a candle = $2.50

The stat-up cost of producing candles = $300

(a) Let c represents the start-up cost of producing candles, let p represent the profit Adah makes from selling candles and x represents the number of candles sold, we have;

c = $300...(1)

p = x × ($2.50 - $1.25)...(2)

(b) The number of candles Adah must sell to break even is given as follows;

At break even point, Start-up cost = Profit

∴ c = p

300 = x × (2.50 - 1.25) = 1.25·x

∴ x = 300/1.25 = 240

Therefore;

The number of candles she must sell to break even = 240 candles

5 + 0.08 + 0.004 in word form plz​

Answers

Answer:

Five plus eight hundredths plus four thousandths

Answer:

five plus zero point zero eight plus zero point zero zero four equals five point zero eighty four

Step-by-step explanation:

HELP ME PLS WITH THIS

Answers

Answer:

j

Step-by-step explanation:

Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.

Plan A: Raise the price by $0.10 each week until the price reaches $12.00.

Plan B: Raise the price by 10 percent each week until the price reaches $12.00.

Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.

Plan D: Raise the price by $0.25 each week until the price reaches $12.00.

Which plan will result in the price of the feed reaching $12.00 fastest?
-plan A
-plan B
-plan C
-plan D

Answers

Answer: B is the fastest way

Step-by-step explanation: How to solve this is a bit hard

8*1.1^n =12, so : ln(8) +n*ln(1.1) = ln(12), then

n = (ln(12) - ln(8))/ln(1.1) (≈ means around)4.3 weeks.

Answer: ANSWER IS [B]

Step-by-step explanation:

Find the distance between the two points to the nearest tenth. (0,-5) and (-4,2) 5 5.3 5.2 5.6

Answers

Sqr (x2 - x1)^2 + (y2 - y1)^2
Sqr (-4-0)^2 + (2+5)^2
Sqr (16) + 49 = sqr 65
I got around 8.
(I might did something wrong, idk)

Tom fed the dog 3 times as many times as her sister last week. His sister walked the dog 9 times. Max said he could multiply 4 times 9 to find out how many more times he walked the Dog than his sister. Is Tom correct?

Answers

Answer:

No

Step-by-step explanation:

The calculation that Tom is trying to do would be to calculate how many times he walked the dog if he had walked the dog 4 times as many times as his sister, who in this scenario walked the dog a total of 9 times. Since, in this scenario there is no mention of how many times Tom walked the dog then this calculation cannot be made and I would say that Tom is not correct.

Answer: nope

Step-by-step explanation: it’s just obvious

Nooooooooooooooooooooooo

Answers

Answer: yes

Step-by-step explanation:

Simply just yes

Answer:

YESSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Step-by-step explanation:

Solve for y.
9/4y - 12 = 1/4y - 4

Answers

Answer:

y=4

Step-by-step explanation:

9/4y = 1/4y - 4 + 12
9/4y = 1/4y + 8
9/4y - 1/4y = 8
8/4y = 8
2y = 8
Y = 4

Which postulate can be used to prove congruence? Please help

Answers

Answer: Choice E) Insufficient information to prove congruence.

============================================================

Explanation:

We're given that AB = DC and BE = CE. This means we have two pairs of congruent sides and we could use SAS if we know that angle ABE = angle DCE. However, we don't know this information.

While we do know that angle AEB = angle DEC (vertical angle theorem), this is not enough information. Recall that SSA is not a valid congruence theorem. The angles in question are not between the sides mentioned in the previous paragraph.

Therefore, we don't have enough information to prove the triangles congruent.

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

Side notes:

We can't use SSS because we don't have info about three pairs of sides. We only have info about two pairs of sides.We can't use ASA because we only have info about one pair of angles.We can't use HL because this only applies to right triangles.

Pls answer ASAP, will mark brainliest

Answers

Answer:

15

Step-by-step explanation:

Out of 30 cookies,
4/5
are chocolate chip. How many cookies are chocolate chip

Answers

Answer:

24 are chocolate chip

Step-by-step explanation:

Hope this helps =)

i been needing help with my work on study island

Answers

Answer:can I see the answer for the drop down box..

Step-by-step explanation:

Answer: The answer is they left about 24% of the tip

Step-by-step explanation: Find 15% of the total number, add 20 to it, then divide by the total bill

{2x−y=2 2x−2y=4 solve by sustitution

Answers

I believe the value of X would be 0 and -2. Forgive me if I’m wrong.

6x +8=5x=4
what is the value of x

Answers

Answer:

x = -4/11

Step-by-step explanation:

add the x values.

11x+8=4

subtract 8 from each sides

11x=-4

divide by 11

x=-4/11

Amanda's dog eats 7 1/2 Pounds of dog food in 2 weeks how much does amandas dog eat each day?

Answers

Answer:

0.535 pounds

Step-by-step explanation:

Answer:

15/28 pounds

Step-by-step explanation:

7 1/2 ÷ 14 days = 15/28

Help Will give crown

Answers

Answer:

a) x=3

y=6*3+4

=22

b) x=4

y=6*4+4

=24

c) x=6

y=6*6+4

=40

d) x=7

y=6*7+4

=46

Hope it will help you......

somebody help me answer these ik I'm not the smartest​

Answers

Answer:

1. 3/5

2. 70/9

3. 12 3/5

Step-by-step explanation:

hope it helps

Answer:

reduce 18/30

divide both numerator and denominator by 6

3/5

change to improper 7 7/9

multiply 7*9=63

63+7=70

70/9

Change to mixed number 63/5

63/5=12 remainder 3

12 3/5

Evaluate the function f(-2) - h(4) given the following functions: f(x) = 4x​ 2​+ 9 h(x) = 3x - 14

Answers

Answer:

-86

Step-by-step explanation:

simplify each equation as much as possible

f(x)= 4x(2+9) add

4x(11) multiply

f(x)=44x

substitute given numbers into each equation

44(-2)=-88                3(4)-14= 12-14=-2

combine equations

-88-(-2)= -86   add since you are subtracting a negative number

Please answer! solve for x

Answers

Answer:

it 180 degree try to add them all the subtract with 180 and that equals x

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

The angles of a triangle always add up to 180°. This means that (x+46) + 52 + 92 = 180.

First, subtract 92 from both sides of the equation to get (x+46) +52 = 88. Then, subtract 52 from both sides of the equation to get x + 46 = 36. Finally, subtract 46 from both sides of the equation to get x = -10

PLEASE HELP!! THANK YOU!!

Answers

Step-by-step explanation:

i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D

Answer:

(0,-2)

Step-by-step explanation:

Parallelograms have parallel lines and equal opposite lines.

You can count.

For Ex: A is 1 above and 5 to the left of B.

So D should be 1 above and 5 to the left of C.

C is at (5,-3)

Go up 1 and left 5 and you get (0,-2)

As a cold front moved in, the temperature dropped 3 degrees each hour for 6 hours. What was the total temperature change after the 6 hours?

Answers

Answer:18°

Step-by-step explanation:

6x3=18

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