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 ?
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
Can someone help please? i’ll give you brainliest, sorry if it’s hard to see
1/4 and 4
Step-by-step explanation:
small to large: 2/8 =1/4
large to small: 8/2 =4
Answer: 2x4=8 , 16x8=128
128x8=1024
Step-by-step explanation: hope I help with your problems and sorry if it wrong
Solve. x =
A
41°
B.
C
Plz help me fast
Answer:x= 49°
Step-by-step explanation:
Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina Need?
A. 13 Feet
B. 26 Feet
C. 39 Feet
D. 44 Feet
Answer:
The perimeter of the fencing is 44 feet (Option D)
Step-by-step explanation:
Area and Perimeter
A square shape of side length (a) has an area given by:
[tex]A = a^2[/tex]
And its perimeter is calculated as:
P = 4a
The area of Katrina's square garden is given as A=121 square feet. We need to calculate the side length by solving for a:
[tex]a=\sqrt{121}[/tex]
a = 11 feet
Once we know the value of a, then we calculate the perimeter:
P = 4*11 = 44
The perimeter of the fencing is 44 feet (Option D)
If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?
Answer:
D: AT = OG
Step-by-step explanation:
I just took this quiz so that's how I know
Carol observes that all of the juniors are taking physics this year. She concludes that when she is a junior, she will take physics for her science class. What kind of reasoning is Carol using to from her conjecture?
A.) Deductive Reasoning
B.) Inductive Reasoning
Answer:
The answer is B.) Inductive Reasoning
Step-by-step explanation:
Deductive reasoning requires one to start with a few general ideas, called premises, and apply them to a specific situation. Recognized rules, laws, theories, and other widely accepted truths are used to prove that a conclusion is right.
Answer:
Inductive Reasoning
Step-by-step explanation:
Carol’s conjecture is based on her observations.
Not sure what this is but last choice is 60 miles FIRST ANSWER GETS BRAINLIEST HEHEHE
Answer: b
Step-by-step explanation:
What is the equation, in point intercept form, for a line that goes through (2, -6) and has a slope of -3/4
The answers are in the photo.
Oh and ignore the highlighted answer I mistakenly hit it.
I will give Brainlyist!!!
Answer:
y+6=-3/4(x-2)
Step-by-step explanation:
Help please!!!!!! HELP
Answer:
number 1
Step-by-step explanation:
a car rental company charges an initial fee plus a fee per kilometer driven. if a car drives 105 kilometers and pays 183 dollars what is the company's initial fee
Answer:
a
mark
me
brainlist
omg
Step-by-step explanation:
If rong let
p
l
e
a
s
.
me know
the answer is 100 dolers$
what is the answer to this one need asap
Simplify 81 to the negative 3 fourths power. (1 point)
Question 8 options:
1)
−27
2)
negative 1 over 27
3)
27
4)
1 over 27
Answer:
negative 1 over 27
Step-by-step explanation:
81 * negative 1 over 27 = -3
Answer:
[tex] \dfrac{1}{27} [/tex]
Step-by-step explanation:
[tex] 81^{-\frac{3}{4}} = [/tex]
[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]
[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]
[tex] = \dfrac{1}{(3)^3} [/tex]
[tex] = \dfrac{1}{27} [/tex]
PLEASE HELP :)))
Suppose 3 rooms cost $596 and 5 rooms cost $860. What is the total cost for the number of rooms
Answer: 596 + 860 = 1456
pls help ill give brainly
A soup can is 2 in. tall and has a diameter of 8 in.
What is the amount of metal used to make the can?
16π in²
24π in²
48π in²
160π in²
Answer:
the answer is 48π in²
explanation:
i took the quiz
Why are inverse operations and
properties of equality important when solving
equations? Explain.
Answer:
An inverse operation is two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality. This gives us a couple of properties that hold true for all equations.
What is the solution to the equation x/2 - 4 = 6?
x = 5
x = 20
x = 1
x = 10
Answer:
x=5
hope it helps.....
Answer:
I got the answer from the Tutor.
The product of a number and -7 is greater than 42
Answer:
-7*x>42
Step-by-step explanation:
-7 times any negative number greater than 6 is equal to more than 42
Which is an integer
Answer:
6.2 is an integer
Step-by-step explanation:
Answer
6.2
Step-by-step explanation:
Help pls I am in 4th and my sister is at school help
Answer:
0.125
Step-by-step explanation:
Answer
0.125
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Solve (x+1)2 = –5.
Question 16 options:
A)
No real solution
B)
x = ±1.75
C)
x = ±5
D)
x = ±1
Answer:
A) no real solutions
Step-by-step explanation:
No real solution. in order to x+1 by itself you must square root both sides. that would mean square rooting -5 which creates an imaginary number. so there are no real solutions. Also cause even if x was a negative, when you'd square it, you'll always get a positive.
find the least number that must be added to 1400 so as to get a perfect squre. full explanation
Answer:
so what is the next perfect square after 1400? That's what they are asking.. so I used my calculator to find it..
Step-by-step explanation:
the square root of 1400= 37.41..... but since we want a perfect square.. take 38 squared.. which is 1444 so now we know.. to add 44 to 1400 .... that's your answer 44
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper. The scatter plot shows the data he gathered and the line of best fit.
The equation of the line of best fit is y = 70.28x + 425.77.
Based on the line of best fit, approximately how many minutes would a student who consults 3 books spend on a research paper?
211
372
496
637
The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have:
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.
The line of best fit is:
y = 70.28x + 425.77
Plug x = 3 in the line of best fit:
y = 70.28(3) + 425.77
y = 21.084 + 425.77
y = 636.61 minutes ≈ 637 minutes
Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
#SPJ5
3. A certain 50 cm spring will stretch (in
cm) the weight (in kg) attached to
it. How long will the spring be if a 35
kg weight is attached to it?
Complete Question
A certain 50 cm spring will stretch (in cm) one fifth the weight (in kg) attached to it. How long will the spring be if a 35 kg weight is attached to it
Answer:
The value is [tex]L_w = 57 \ cm[/tex]
Step-by-step explanation:
The length of the spring is [tex]L = 50 \ cm = 0.5 \ m[/tex]
The mass attached to it is [tex]w = 35 \ kg[/tex]
Generally given from that the spring will stretch one fifth of the weight (in kg)attached to it , it then means that the new length of the spring whenever a weight is attached to it is mathematically represented as
[tex]L_w = L + \frac{W}{5}[/tex]
=> [tex]L_w = 50 + \frac{35}{5}[/tex]
=> [tex]L_w = 57 \ cm[/tex]
here's the question for is you can't see.
what is the vertex of the equation below?
y=2(x-3)>2+4
1. (2,4)
2. (-3,4)
3. (-2,4)
4. (3,4)
From [tex]y=a(x-h)^2+k[/tex]
The vertex is at (h, k)
Therefore, from [tex]y=2(x-3)^2+4[/tex]
The vertex is at (3,4).
Thus, the answer is 4. (3,4)
A 20-oz bottle of soda costs $2.98.What is the cost per ounce?
Answer:
$0.15
Step-by-step explanation:
Answer:
0.149
Step-by-step explanation:
2.98 divided by 20 = 0.149
Answer - 0.149
An ordinary coin is thrown 50 times.
Barry says "I am going to get heads 25 times and tails 25 times."
Explain why he could be wrong.
He could get 25 heads out of the 50 times but the percentage of happening that is very narrow.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
given, An ordinary coin is thrown 50 times. Barry says "I am going to get heads 25 times and tails 25 times."
To better understand Why he could be wrong we need to Understand the difference between Theoretical probability and Actual probability:
The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.
Because theoretical probability is based on models rather than reality, it isn't very helpful for determining probability in the actual world. Subjective probability is dependent on an individual's own assumptions and biases. It's the likelihood that an individual will encounter the result they are anticipating based on their prior experiences.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ2
Use the diagram below to answer the question. There is a small building that is 24 feet tallThe fire fighter is standing 7 feet away from the building.
Answer:
24- 7 = 17
Step-by-step explanation:
Write the slope-intercept form of the equation that is described below.
Through (-3, 3) and perpendicular to y = 1/3x + 5
What is the equation:
Answer:
3=-3*-3+b
3=9+b
-9 on both sides
-6=b
y=-3x-6
*-3 because the opposite of 1/3 is -3*
In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house
Answer:
$12,500
Step-by-step explanation:
Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.
Total change in the value of house= $245,000- $120,000=$125,000.
Total time (in years) between 2007 and 2017 = 2017-2007=10 years.
The value of the house changes by $125,000 in the time interval of 10 years.
So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.
Hence, the average annual rate of change in the value of the house is $12,500.
HELP WILL MARK BRAINLIESTTT!!!!
Answer:
Real= 3 . Imaginary = 3.6
Step-by-step explanation:
mark me brainliest plz