Answers
Answer:
Step-by-step explanation:
Let the exponential function for the given table is,
f(x) = a(b)ˣ
Here, f(x) = Price of the item after 'x' years
a = Initial price of the item
b = Growth factor
x = Duration(years) from year 1913
By exponential regression calculator,
Exponential function represented by the table will be,
f(x) = 7.822(1.034)ˣ
Now we have to calculate the price of the item in year 2025.
Difference in time = 2025 - 1913
= 112 years
Price of the item after 112 years,
f(112) = 7.822(1.034)¹¹²
= $330.840
Related Questions
A fundraiser agrees to donate an extra $75 for every $100 the school raises through selling cookies what is the constant of the proportionality
Answers
Answer:
3/4 or 0.75
Step-by-step explanation:
If one side of a square is increase by 10 units, the area of the rectangle formed is 3 times the area of the square. Find the area of the rectangle.
Answers
Answer:
75 square units
Step-by-step explanation:
(x+10)x=3x^2
x^2+10x=3x^2
10x=2x^2
5x=x^2
x=5
Plugging in 5 into either of the initial equations yields the answer.
#9 Consider the expression 9x - 4b + 3. Select all of the statements below
that are true.*
There are 2 variables in the expression.
9 is the only coefficient in the expression
There are 2 terms in the expression.
3 is the constant in the expression
There are 3 terms in the expression
I need help plz
Answers
Answer:
Step-by-step explanation:
True:
- There are two variables
- 3 is the constant
- There are 3 terms in the expression
There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.
Answers
Answer:
Interval ( 24 ; 40 ) has 136 participants
Interval ( 16 ; 40 ) has 163 participants
Step-by-step explanation:
Normal distribution.
As variance is 64 then standard deviation is σ = 8
And mean μ₀ = 32
We can see that μ₀ ± σ is 32 ± 8
The interval ( 32- 8 ; 32+8 ) is ( 24 ; 40 )
By empirical Rule we know that μ₀ ± σ contains 68% of the population then 200*0,68 = 136
The number of participants between 24 and 40 is 136
By symmetry of these 136 half of them are between 32 and 40 ( 136/2 = 68 ) ( between mean and 40 )
Now in the interval ( 16 ; 40 ) we note that 16 is 32 - 16 = 16 or μ₀ - 2σ
And again by empirical rule μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2 95 are between μ₀ - 2σ, therefore
95 people are between μ₀ - 2σ or between ( 16 ; 32 ) and between ( 32 ; 40 ) there are 68 people then
The interval ( 16 ; 40 ) has 95 + 68 = 163 participants
laShea would like to invest her $100 in birthday money. Which option will give her the most money at the end of the investment period?
1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent
Answers
Answer:
C. 2 years at 6.5 percent
Step-by-step explanation:
I took the quiz and got it right Edg.2021
C=-a/b what does a equal
Answers
Answer:
a = -bc
Step-by-step explanation:
We are given the equation:
c = -a/b
Because multiplication and division are inverse operations, if we move b over to the other side, since it was dividing on the right side, it would be multiplied on the other side (I don't know how to explain that well)
so you can make it look like this:
b*c = -a
Or:
-a = b*c
Then, do isolate a, we will have to divide by -1 on both sides
a = -b*c
To check this, we can plug in numbers
-8 = -16/2
-16 = -8*2
16 = 8 * 2
Let me know if you have any questions
Find the mean, median, and mode of the data.
2,4,3 1,5
Answers
Median: 3 (The middle number when the numbers are put in order)
There is no mode (number that occurs the most) because each number only occurs once.
CAN SOMEONE PLEASE HELP
Answers
Step-by-step explanation:
The answer is down here
1. 8
2. 2
3. b
4. f
What is equivalent to 3;4
Answers
Answer:
6;8
3;4 that the lowest that it can go. the equivalent is 6;8 but if you want to change it into decimal form you can divide by two which is 1.5;2 but the answer is 6;8 because 3;4 is already in it's lowest form, or is already simplified to it's maximum extent.
The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the price of the bag of popcorn from 1995 to 2015 and classify as a percent increase or percent decrease
Answers
Answer:
500$ dollars
Step-by-step explanation:
Amanda received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.27 per pound. After
buying the coffee, she had $36.38 left on her card. How many pounds of coffee did she buy?
Answers
Answer:
She bought 6 pounds of coffee.
Step-by-step explanation:
80-36.38=43.62
so she spent $43.62 on coffee
43.62 divided by 7.27 = 6
1 Jeremy is driving to a friend's house that is 88 miles away from his home. The scale on Jeremy's map is Inch is equivalent to 8 miles. How far is it on the map 2 from Jeremy's house to his friends house?
4 1/2 inches
3 1/2 inches
5 1/2 inches
9 1/2 inches
Answers
mega has 3 weter botels and wants to give each of her friends 4 how many will she need
Answers
Answer:
12
Step-by-step explanation:
3 times 4 is 12
Define/explain the symmetric property.
Answers
Step-by-step explanation:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Data was collected on the amount of food (in grams) served at two restaurants and the price paid for the meal. The regression line for the data appears on the first plot. The second plot shows the regression analysis conducted when the data is analyzed separately for each of the two restaurants. Which of the following statements best describes the relationship between the variables?
a. The correlation between amount of food served and price is very strong within each restaurant, but seems weak when both restaurants are combined.
b. The correlation between amount of food served and price is strong.
c. The correlation between amount of food served and price is weak within each restaurant, but seems strong when both restaurants are combined.
d. The correlation between amount of food served and price is weak.
Answers
Answer:
Option A, The correlation between amount of food served and price is very strong within each restaurant, but seems weak when both restaurants are combined.
Step-by-step explanation:
The graphs for this question are provided in the attachment
Solution -
Graph I - the data points in the graph I do not follow any best fit curve or trendline. This indicates that data is not correlated.
Graph -II In graph II, apart from few outliners majority of data points lie on the best fist curve or the trendline.
Hence, the relation between the two variables i.e food served and price is strong.
Option A fits well for our answer hence it is the correct answer
Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years
Answers
Answer:
4530.55
Step-by-step explanation:
2800 x 6.2% = 173.6
2800 + 173.6 = 3157.96
repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation
Write three equivalent fractions for 4/5
Answers
Answer:
8/10, 16/20, 12/15
Step-by-step explanation:
Just multiply both the 4 and the 5 by the same number (any number), and you have an equivalent fraction.
Answer:
4/5
8/10
12/15
it's your answer
The length of a subway is 385 miles. If 3 cm represents 35 miles on the map, then what is the length of the subway on the map in cm?
Answers
Answer:
33cm
Step-by-step explanation:
385 / 35 = 11
11 times 3 = 33
A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?
Answers
Answer:
4 cups
Step-by-step explanation:
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PLS SHOW THE WORK!!!!!!!!
Answers
Answer:
1. x = - 1 -y over 2
2. x = -4(2+y) over 3
Step-by-step explanation:
Answer:
1. x = - 1 -y over 2
2. x = -4(2+y) over 3
:)
help please asap i will give you a heart if you do
Answers
Answer:
30
Step-by-step explanation:
2(6)=12
3(6)=18
12+18=30
Step-by-step explanation:
its 30 2(6)=12 3(6)=18
30
Please help! Doing online because of pandemic!
For line b, d, and e, line d is parallel to line e, and m∠1 = 81°.
Part A: In complete sentences, explain the relationships between all pairs of special angles 1, 2, 3, and 4 created by transversal line b and parallel lines d and e.
Part B: For the given diagram, use the measure of the special angle relationships created by transversal line b and parallel lines d and e to find the measures of ∠2, ∠3, and ∠4.
Answers
Answer:
ART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
Step-by-step explanation:
PART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
88% of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 72% have an emergency locator, whereas 86% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared.
A) If it has an emergency locator, what is the probability that it will not be discovered?B) If it does not have an emergency locator, what is the probability that it will be discovered?C) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what isthe probability that 7 of them are discovered?
Answers
Answer:
a) [tex]P(D'/L)=0.03[/tex]
b) [tex]P(D/L')=0.7[/tex]
Step-by-step explanation:
From the question we are told that
Probability of discovered [tex]P(D)=0.88[/tex]
Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]
Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]
Generally the probability that aircraft are not discovered is mathematically given as
[tex]P(D')=1-0.88[/tex]
[tex]P(D')=0.12[/tex]
Generally the probability that aircraft with locator are discovered is mathematically given as
[tex]P(L'/D)=1-0.72[/tex]
[tex]P(L'/D)=0.28[/tex]
Generally the Probability of lost aircraft without locator mathematically given as
[tex]P(L/D')=1-0.86[/tex]
[tex]P(L/D')=0.14[/tex]
Generally the Probability of having a locator mathematically given as
[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]
[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]
[tex]P(L)=0.6504[/tex]
a)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]
[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]
[tex]P(D'/L)=0.0258302583[/tex]
[tex]P(D'/L)=0.03[/tex]
b)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]
[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]
[tex]P(D/L')=0.704805492[/tex]
[tex]P(D/L')=0.7[/tex]
Solve for a.
12 =-2a + 6
Answers
Answer:
a=-3
Step-by-step explanation:
First, subtract 6 from both sides
6=-2a
divide -2 from both sides
-3=a
what is the slope of the line passing through the points (2,5) and (-1,-4)? show all work.
Answers
Answer:
3
Step-by-step explanation:
[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]
if m=2 and b=-5, what is the equation of the line in slope intercept form
Answers
Answer:
y=2x-5
explanation:
y=mx+b
State the name of the property illustrated below.
(23+ 8) + 5 = 23+ (8 + 5)
What property is used
Answers
Answer:
Step-by-step explanation:
This is the associative property for addition. In informal language, it says under addition, the order of the addition is not critical.
Can you help if your are eligible to?
Answers
(45 + 33) +7 = 45 + (33 + 7)
What property is that
Answers
Answer:
Associative
Step-by-step explanation:
The ferris wheel with a diameter of 150 feet at the fair is out of control and is moving at 60 degrees per second. How many miles per hour is someone moving as it spins out of control?
*There are 5,280 feet in a mile.
Answers
Answer:
Step-by-step explanation: