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

The slope of the line represented by y = 5x is

Answers

Answer:

The slope of the line represented by y = 5x is 5

Step-by-step explanation:

The form of the linear function is y = m x + b, where

m is the slope of the line that represents the equationb is the y-intercept (the value of y at x = 0)

To find the slope of a line from its equation compare the equation with the form of the linear function, then find the coefficient of x which is the slope of the line

∵ The equation of the line is y = 5x

→ Compare it with the form of the equation above

∵ The coefficient of x = 5

m = 5

The slope of the line represented by y = 5x is 5

Find the midpoint of the segment with the following endpoints.
(10, 7) (2, 1)

Answers

Answer:

(6,4)

Step-by-step explanation:

Midpoint=((x1+x2)/2 ,(y1+y2)/2)

((10+2)/2 ,(7+1)/2)

(6,4)

x1=10

x2=2

y1=2

y2=1

Help I will make you a brainlist!!

Answers

Y = -1/2x + 7/2
The fourth response is correct

Plsss help ty I’ll mark u

Answers

Answer:

7/4 meter

Step-by-step explanation:

their all in fractions of 8 so let reduce

Corn - 8 goes into 19 twice with the remander of 3 --> 2 and 3/8

Pepper 5/8 cause that cant be reduced any lower

Squash - 7/8 cant be reduced any more

Now its asking to subtract the tallest plant from the smallest to see the diffrence

The tallest plant is Corn and the shortest is Pepper

19/8 - 5/8 = 14/8

reduce 7/4

Answer:

It is 14/5 meters taller.

Step-by-step explanation:

[tex]\frac{19}{8}[/tex] - [tex]\frac{5}{8}[/tex] = [tex]\frac{14}{8}[/tex]

Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?

Answers

Answer:

Let's represent pink flowering plants with the variable p:

8p + 5(15 - p) = 96

8p + 75 - 5p = 96

3p = 21

p = 7

Step-by-step explanation:

Arianna bought 7 pink flowering plants

Answer:

B) 7

Step-by-step explanation:

took the test on edg

Can someone help within 10 min Help plz

Answers

Answer:

-6x + y < 3

Step-by-step explanation:

After y = 3 the shading hits the y axis!

Brainliest Appreciated! Hope I helped!

2. Consider the following graph of a quadratic function.
a Doline the domain
b. Define the range
c. Where is the graph increasing
d. Where is the graph decreasing
. Identify any relative maximums.
1 Identily any relative minimums

10 points!!!

Answers

Answer:

Domain is all real numbers.

Range is -3 to infinity that is y >= -3 (that is y -3)

Increasing from x > -4 ( that is from -4 to +infinity) that is to right of -4

Decreasing from x <-4 (that is -infinity to -4) that is to left of -4

This has a minima at x= -4 with y= -3. We can write as (-4, -3)

Maxima is not there as it is going to infinity

Step-by-step explanation:

PLEASE LOOK AT PICTURE! WHOEVER HAD CORRECT ANWSER I WILL MARK BRAINIEST!!!

Answers

Answer:

B : y − 3 = 2/3 ⋅ ( x − 3 )

Step-by-step explanation:

Answer:

B, but if I am only 95 percent sure.

Step-by-step explanation:

Evan used half his paycheck for his car payment, then $125 for groceries. If he has $215 left, how much was his paycheck.

Answers

Answer:

680 dollars

Step-by-step explanation:

.5x - 125 = 215

.5x = 340

x = 680

A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?

Answers

the average speed for the trip is 11 miles per hour, or mph. 99 miles divided by 9 is 11

Which values of a a,b, and c correctly complete the division?

1/4 divided by 5/6 = 1/a x b/c

Answers

Answer:

a=4, b=6 c=5

Step-by-step explanation:

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.

Answers

Answer:

No

Step-by-step explanation:

3x-8+3x+7-(simplified)-> 6x-1, which does not have (x+5) as a factor

Answer:

No

Step-by-step explanation:

Let's assume (x + 5) is the factor of f(x) = x^3 − 4x^2 + 3x + 7

then f(-5) should be equal to zero. Verifying:

f(-5) = (-5)^3 - 4(-5)^2 +3(-5) + 7 =-125 - 100 - 15 + 7 = -233

Since -233 ≠ 0, the statement is false, so (x + 5) is not a factor of given polynomial

How do u show work for this problem

Answers

Just show how you dived the equation and found the X

Answer:

im not seeing the problem...

During a movie, Tanvi ate 4/5 of a handful of snack mix, and Wyatt ate 2/5 of a handful. How much more did Tanvi eat?

Answers

2/5 more i believe!
basically just subtract 4/5 and 2/5 and you get 2/5
feel free to mark brainliest, hope this helps!

Answer: 2/5

Step-by-step explanation:

Which statement is true for all functions f(x)?

Answers

A is the answer I think

Greg invested $11,000 in two accounts.
• The first account pays 5% interest per year.
• The second account pays 8% interest per year.
Greg earned a total of $752.50 in interest at the end of the first year.
How much did Greg invest in the 5% account?

A) 6750
B) 3415
C) 5500
D) $4250

Answers

Answer:

D; $4,250

Step-by-step explanation:

Here, we want to know the amount that was invested in the 5% account

We proceed as follows;

Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b

We have it that the total investment amount is $11,000

Mathematically, since total is 11,000; we can add a and b to give this

a + b = 11,000 •••••••••(i)

Now, let us work with the interests

Interest earned will be;

Percentage of interest * Amount invested

For the 5% interest account, the interest earned will be;

5/100 * a = 5a/100 = 0.05a

For the 8% interest account , the interest earned will be;

8/100 * b = 0.08b

By adding the interests on both account, we can get the total amount of interest earned

We can have this as;

0.05a + 0.08b = 752.50 •••••(ii)

From equation i above;

b = 11,000 - a

Substitute this into ii

0.05a + 0.08(11,000-a) = 752.5

0.05a+ 880 - 0.08a = 752.5

0.08a-0.05a = 880-752.5

0.03a = 127.5

a = 127.5/0.03

a = $4,250

How many solutions does the system of equations below have?
y = 3x + 4
y + 6 = 3x

Answers

Answer:

0 / no solutions

Step-by-step explanation:

Rewrite both in terms to the form y = equation.

EQ1: y = 3x + 4 (already in correct form)

EQ2: y = 3x - 6 (subtracting 6 from both sides).

Now suppose there is an intersection, then:

3x + 4 = 3x - 6, subtracting 3x from both sides gives:

4 = -6, which is a contradiction!

Therefore there are 0 / no solutions

Finish solving the system of equations X -5 y =6 and-x+2y=_3 what is the value of y substitute the value of y back into one of the original equation to find the value of x what is the value of x

Answers

please see my steps to work this problem

The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?​

Answers

Answer:

40%

Step-by-step explanation:

Ignore the zeros, then think about the 15 ‘s multiplication table. Once you do, you will find that 90 is 15 times 6, which is 60%. And 100-60 is obviously 40. Hope this helps.

The percentage that was reduced from the original price is 40 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The original price of the skateboard = $ 150

The reduced price of the skateboard = $ 90

The difference between the original price and reduced price =
Original price of the skateboard - Reduced price of the skateboard

The difference between the original price and reduced price = 150 - 90

                                                                                                      = $ 60

Let the percentage decrease be A

Now the equation will be

Original price of the skateboard - A % ( Original price of the skateboard ) =
Reduced price of the skateboard

So ,

150 - A/100 ( 150 ) = 90

Adding A/100 ( 150 ) on both sides , we get

A/100 ( 150 ) + 90 = 150

Subtracting 90 on both sides , we get

A/100 ( 150 ) = 60

Multiply by 100 on both sides , we get

150A = 6000

Divide by 150 on both sides , we get

A = 40 %

Hence , the percentage at which the price of the skateboard reduced is 40%

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ6

Write an equation in slope-intercept form for the line parallel to y=3x-2 that passes through the point (5,-2)

Answers

Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope.

The slope of the given line, y = 3x - 2 is 3.

The equation we are looking for is of the form

y = mx + b

Since we know the slope, m, is 3, we have

y = 3x + b

To find the value of b, we substitute x and y with the values from the given point and solve for b.

-2 = 3(5) + b

b = -17

The equation is

y = 3x - 17

can someone please help me out on this

Answers

Answer:

a.

Step-by-step explanation:

for A, put a dot on (0,2) and (1,5) and connect them (arrow should be pointing up)

then make another line by plotting a dot on (0,-2) and (1,-4) (arrow should be pointing down)

since the < and > have an equal to (_) line at the bottom, the point/dot at (0,2) and (0,-2) have to be filled in

Please help due soon!

Answers

a=6underroot2 and b =4/ underoot3
yeah what they said lol sorry need to get this in

I needdd helpp :)))))

Answers

I can’t see the scenario on top so can’t rlly help u out sorry

What is the average rate of change for [-1,2]?

Answers

Answer:

Step-by-step explanation:

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.

Write the expression below in standard form.

3h - 2 (1 + 4h)

Answers

Answer:

-5h-2   I think this is the answer.

Step-by-step explanation:

-5h-2
hope this helped !

Please help me with this question! Will mark brainliest :)

Answers

Answer:

option c ) y = 3x -2

given, y=10 & x=4

let's equate in equation

y = 3x -2

LHS = Y = 10 ( given )

RHS = 3X -2 = 3(4)-2

= 12-2

= 10

SO, LHS = RHS

hence , SATISFIED ✔️

we end here ^^"

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Coca Cola is offering prizes under the caps of their sodas. Coca Cola claims that “one in six game pieces wins a prize.” The official rules of the contest states that the odds of winning a prize are 1:6. Is the claim “one in six game pieces wins a prize” correct? Why or why not?

Answers

Answer:

correct because one in six game pieces win a prize.

Step-by-step explanation:

SIMPLE CORDINATES. BRAINLIEST, 5 STAR, AND A LIKE IN RETURN. SHOW SOME WORK PLEASE THIS IS DUE SOON.

Answers

Answer:

i think point A ( -3 , 4)

(-3,4)

Using the elimination method to solve
2 x-y=8
x + y = 20

Answers

Step-by-step explanation:

2x-y=8

x+y=20

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

3x=28

×=28÷3=9.3

so

9.3+y=20

y=20-9.3

y=20.7

PLEASE ANSWER THIS ASAP !!!!!!

Answers

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

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