b. What is the annual interest rate?
At a wholesale food distribution center, the price of sugar has increased 6% annually since
380. Suppose sugar cost $0.43 per pound in 1980 and this growth continues.
a. Write the equation to model this growth.
D. According to this model, what would be the price of sugar per pound today (2022)°
Answers
The annual interest rate is the percentage rate at which interest is calculated and added to a principal amount over the course of a year. It is expressed as a percentage of the principal and is typically applied to loans, investments, and other financial products.
a. To model the growth of sugar price over time, we can use the formula for compound interest:
A = P * (1 + r)^n
where A is the final amount, P is the initial amount, r is the annual interest rate, and n is the number of years. In this case, we know that the price of sugar has increased by 6% annually, so the annual interest rate is r = 0.06. We also know that the initial price of sugar in 1980 was $0.43, so P = 0.43. Finally, we need to find n, the number of years since 1980. If we assume that "since 380" means "since 1980", then n = 2022 - 1980 = 42. Plugging in these values, we get:
A = 0.43 * (1 + 0.06)^42
Simplifying this expression, we get:
A ≈ 3.41
So the predicted price of sugar per pound today (2022) would be $3.41, according to this model. However, it's worth noting that this model may not be entirely accurate, as it assumes that the growth rate remains constant over time and does not take into account other factors that may affect the price of sugar.
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Related Questions
if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is convergent.T/F
Answers
If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.
This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.
If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.
Then, we have:
0 ≤ Sn ≤ M1 for all n (Sn is bounded)
0 ≤ Tn ≤ M2 for all n (Tn is bounded)
Now, let's consider the partial sums of the series ∑an∑bn:
Pn = a1(T1) + a2(T2) + ... + an(Tn)
Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.
Using the properties of the partial sums, we have:
0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)
Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.
Therefore, the given statement is True.
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Please Help! im giving 15 points so please help!
Answers
Answer:
11/8x - 6/5y - 7/8
thats my answer.
(Factorize): ( x + 3 ) 2 – 9x – 27
Answers
Answer:
(x +3)(x -6)
Step-by-step explanation:
You want the factored form of (x +3)² -9x -27.
FactorsFactoring the last two terms, we have ...
(x +3)(x +3) -9(x +3) . . . . factor out -9
= (x +3)(x +3 -9) . . . . . . factor out (x +3)
= (x +3)(x -6) . . . . . . simplify
Greg went to the store. He bought 5 kilograms of purple beads, 1/2 of a kilogram of orange beads, and 2 kilograms of white beads. How much did he spend?
Answers
Answer:
Altogether, Greg spent $22.71.
Step-by-step explanation:
1) 5kg × $2.75 = $13.75
Purple beads: Spent $13.75
2) 1/2 kg = 1.5kg
1.5kg × $1.84 = $2.76
Orange beads: Spent $2.76
3) 2kg × $3.10 = $6.20
White beads: Spent $6.20
4) Add them all together.
$13.75 + $2.76 + $6.20 = $22.71
Hope this helps. :)
Solve using linear systems
2x-8y=10
X = 4y-5
Answers
Answer = No Solution
Offering a new product to an established or new market, offering an established product to a new market, or creating a new organization is the entrepreneurial act of
Answers
Offering a new product to an established or new market, offering an established product to a new market, or creating a new organization is the entrepreneurial act of new entry.
A new firm, product, or service entering the market is referred to as an entrepreneurial act of new entrance. Finding a market opportunity and creating a special offering that differentiates the company from rivals already in the market are both necessary steps.
A fresh entry can take many different forms, such as the launch of an entirely new good or service that fills a need in the market, the entry into an established market using a unique strategy or business model, or the entry into a new geographic market with an already well-known good or service.
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Please help this is due tomorrow!!
After 8 weeks on a fitness program, Mrs. Honaker can job 30 miles. Her average mileage gain has been 2 miles per week.
a) write an equation to model this scenario in slope-intercept form.
b) Determine how many miles Mrs. Honaker can run after 11 weeks.
Answers
Answer:
donut
Step-by-step explanation:
ax + b = 10 solve for x
Answers
Answer:
x = (10 - b) / a
Step-by-step explanation:
ax + b = 10
ax = 10 - b
x = (10 - b) / a
Question 2 (1 point) What is the value of x? 2 + 2 9 8 Enter you answer as a fraction inllowest terms. 54
Answers
x + 2/9 = 8
x = 8 - 2/9
x = 72/9 - 2/9 (We converted 8 to 72/9)
x = 70/9
x = 7 7/9 if we can write the answer as a mixed number
which of the following is true for a relation? entities in a column vary as to kind. the order of the columns is important. the order of the rows is unimportant. more than one column can use the same name.
Answers
The true statement for the relation is, the order of rows is unimportant.
What is row and column?
A row is an arrangement of items that are put next to or horizontally. A vertical split of items based on category is known as a column. The arrangement is in a left to right direction. The set-up is vertical, from top to bottom.
A table's rows are individual groups of connected data. Rows and columns are found in tables in relational databases (also known as records and fields, respectively).
Consider the given statements,
Entities in a column vary as to kind.
The order of the columns is important.
The order of the rows is unimportant.
More than one column can use the same name.
From the given statements, the true statement for the relation is, the order of rows is unimportant.
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What is the domain of the function in this table?
х y
1 2
2 4
3 3
4 2
Answers
Answer:
the answer should be 1,2,3,4 , the domain is always the x values .
Step-by-step explanation:
Answer:
y=-0.1+3
Step-by-step explanation:
Find the slope of the line that passes through the following points: E(1.4). F(5,-2)
Answers
Answer:
-1.5
Step-by-step explanation:
m=-6/4
m=-3/2
-1.5
Answer:
-3/2
Step-by-step explanation:
[4-(-2)] / [1-5] = 6 / -4 = -3/2
8 . In which step does a mistake first occur?
(24+3 + 10)-14 + 2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4 +2
Step 4: 2
Answers
Answer:
Step 1
Step-by-step explanation:
Concepts:
When solving any expression or equation, we must go through the order of operations. The order of operations is a set of rules that tell us which operation we must do first. The set of rules is often represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.Solving:
Let's go through the order of operations to solve the expression, so we can see the mistake in the steps.
(24 + 3 + 10) - 14 + 2
1. Add 24 and 3 together
(24 + 3 + 10) - 14 + 2(27 + 10) - 14 + 22. Add 27 and 10 together
(27 + 10) - 14 + 2(37) - 14 + 237 - 14 + 23. Subtract 14 from 37
37 - 14 + 223 + 24. Add 23 and 2 together
23 + 225Now, let's compare these steps to the ones given.
There's a mistake in Step 1 because 24 and 3 was divided instead of added; 24 + 3 = 27, not 8.
a circuit system is given . assume the components fail independently. (a) what is the probability that the entire system works? (b) given that the system works, what is the probability that the component a is not working?
Answers
(a) The probability that the entire system works is 0.3136
(b) The probability that the component a is not working is 0.3
What do you mean by probability?Probability is a scale between 0 and 1 that represents the possibility of an event happening. An event with probability 1 is guaranteed to happen, while an event with probability 0 is impossible. The number of favorable outcomes divided by the total number of potential outcomes in the sample space yields the probability of an event A, commonly denoted as P(A). The sample space, for a fair six-sided die, is the set of all potential outcomes, such as 1, 2, 3, 4, 5, and 6. The probability of rolling a 4 is 1/6. Numerous disciplines employ probability to make predictions, deduce conclusions, and make judgments in the face of uncertainty.
(a) To find the probability that the entire system works, we need to find the product of the probabilities of the individual components working.
For the components connected in series, A and B, the probability that both work is equal to the product of their individual probabilities:
P(A and B) = P(A) * P(B) = 0.7 * 0.8 = 0.56
For the components connected in series-parallel, C, D, and E, the probability that all three work is equal to the product of their individual probabilities:
P(C and D and E) = P(C) * P(D) * P(E) = 0.8 * 0.8 * 0.9 = 0.576
To find the probability of the entire system working, we need to find the product of the probability of A and B working and the probability of C, D, and E working:
P(system works) = P(A and B) * P(C and D and E) = 0.56 * 0.576 = 0.3136
(b) Given that the system works, the probability that component A is not working would be equal to 1 minus the probability that component A is working:
P(A not working | system works) = 1 - P(A working | system works) = 1 - 0.7 = 0.3
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The complete question is
Kira is walking. D(t), given below, is her distance in kilometres from Newbury Heights after t hours of walking. D(t)=10.4−4t Complete the following statements. Let D−1 be the inverse function of D. Take x to be an output of the function D. That is, x=D(t) and t=D−1(x). (a) Which statement best describes D−1(x) ? Her distance from Newbury Heights (in kilometres) after she has walked x hours. The ratio of the amount of time she has waked (in hours) to her distance from Newbury Heights (in kilometres), xin The reciprocal of her distance from Newbury Heights (in -kilometres) after walking x hours. The amount of time she has walked (in hours) when she is x kilometres from Newbury Heights. (b) D−1(x)= (c) D−1(5.2)=
Answers
(a) The amount of time she has walked (in hours) when she is x kilometers from Newbury Heights.
(b) \(D^{-1}(x) = \frac{(10.4 - x)} {4}\). (c) \(D^{-1}(5.2) = 1.3\).
(a) The statement that best describes \(D^{-1}(x)\) is:
The amount of time she has walked (in hours) when she is x kilometers from Newbury Heights.
(b) To find \(D^{-1}(x)\), we need to solve the equation for t in terms of x. We can rewrite the original equation as:
x = 10.4 - 4t
Now, let's isolate t:
4t = 10.4 - x
t = (10.4 - x) / 4
Therefore, \(D^{-1}(x) = \frac{(10.4 - x)} {4}\).
(c) To find \(D^{-1}(5.2)\), we substitute x = 5.2 into the equation we found in part (b):
\(D^{-1}(5.2) = \frac{ (10.4 - 5.2)}{4}\\D^{-1}(5.2) = \frac{ 5.2}{4} \\D^{-1}(5.2) = 1.3\)
Therefore, \(D^{-1}(5.2) = 1.3\).
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The complete question:
Kira is walking. D(t), given below, is her distance in kilometers from Glenn City after t hours of walking.
D(t) = 10.4 - 4t
a) Which statement best describes \(D^{-1}(x)\)?
a. Her distance from Newbury Heights (in kilometers) after she has walked x hours.
b. The ratio of the amount of time she has waked (in hours) to her distance from Newbury Heights (in kilometers),
c. The reciprocal of her distance from Newbury Heights (in -kilometers) after walking x hours.
d. The amount of time she has walked (in hours) when she is x kilometers from Newbury Heights.
b) \(D^{-1}(x)\) =
c) \(D^{-1}(5.2) =\)
a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th power miles. how far from the Earth (in miles right is the star?
Answers
a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th power miles. how far from the Earth (in miles right is the star?
c and d are positive integers quantity A c/d quantity B c+3/d+3
quantity A is greater
quantity B is greater
the two quantities are equal
the relationship cannot be determine from the information given
Answers
The statement provides two quantities, A and B, expressed as ratios of positive integers c and d. The relationship between the quantities A and B cannot be determined from the information given.
The statement provides two quantities, A and B, expressed as ratios of positive integers c and d. However, no specific values or constraints are given for c and d. Without knowing the specific values or any relationship between c and d, it is impossible to determine the relationship between A and B.
The relative magnitudes of A and B will depend on the values of c and d. If the value of c is greater than d, then A would be greater than B. Conversely, if the value of d is greater than c, then B would be greater than A. However, without any information about the values of c and d or any relationship between them, we cannot determine the relationship between A and B.
Therefore, based on the given information, the relationship between quantities A and B cannot be determined.
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Suppose that y is directly proportional to x . 1) Find the constant of proportionality, k , if y = 68 when x = 17 . Write your answer as a decimal. k = 2) Using the k from above write the variation equation in terms of x . y = 2) Using the k from above find y given that x = 32 . Write your answer as a decimal. y = If needed, round to the nearest tenth.
Answers
(1) the constant of proportionality is 4.
(2) y = 4x
(3) when x is 32, y is 128.
1) The constant of proportionality, k, can be found by dividing y by x. So, k = y/x. Substituting y = 68 and x = 17, we get:
k = y/x = 68/17 = 4
Therefore, the constant of proportionality is 4.
2) The variation equation in terms of x is y = kx. Substituting k = 4, we get:
y = 4x
3) Using k = 4 and x = 32, we can find y as:
y = kx = 4 * 32 = 128
Therefore, when x is 32, y is 128.
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what is the value of (-2)^6 ?
Answers
Answer:
64
Step-by-step explanation:
Answer:
-64 would be the answer
What is the solution set for the inequality,
4 (x − 3) − 7x ≥ 6
Answers
The most appropriate choice for linear inequation will be given by
Solution set = {\(x \epsilon \mathbb{R}, x \leq 6\)}
What is linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by \(>\), \(<\), \(\geq\), \(\leq\) sign
A one degree inequation is known as linear inequation.
Here,
\(4(x - 3) - 7x \geq 6\\4x -12 - 7x \geq 6\\-3x -12\geq 6\\-3x \geq 6 + 12\\-3x \geq 18\\x \leq \frac{18}{3}\\x \leq 6\)
Solution set = {\(x \epsilon \mathbb{R}, x \leq 6\)}
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Brianna went to the store to buy some clothes. She bought 9 pairs of pants at $20 per pair of pants, and 11 shirts that cost $15 each. Which of the following is a good estimation of how much money Brianna spent at the store?
Answers
Answer:
$345 : whichever is closest
Step-by-step explanation:
Pants were $20 each and she bought 9 of them so multiply:
9x20=180
She paid $180 for 9 pants.
Shirts cost $15 each and she bought 11 of them so Mulitply:
15x11=165
She paid $165 for 11 shirts
Add both totals from pants and shirts
165+180=$345
Answer: 350
Step-by-step explanation: I dont really now how but 345 is close to 350 and my learning app says so.I'M really bad at math but if get this questoin an Modymax than the awsnser is 350.
EASY question: Show steps for brainliest <3
Tai sailed east from the marina for 48 miles and
then sailed south for 14 miles, as shown in the
diagram.
What is the shortest distance Tai can sail to return
to the marina?
A 62 mi
B 82 mi
C 50 mi
D 34 mi
Answers
Answer:
C 50 mi
Step-by-step explanation:
You have to use the Pythagorean theorem:
14²+48²
196 + 2304
2500
Now you make the square root of 2500 and found the result: 50 mi
Which shows three mixed numbers that have sum of 10?
A.1 2/3 + 3 5/12 + 4 3/4
B.3 1/3 + 3 1/4 + 3 5/12
C.2 3/8 + 5 1/2 + 1 1/4
D.5 1/4 + 1 7/8 + 3 7/8
Answers
Answer:
B
Step-by-step explanation:
Add whole numbers first 3+3+3= 9
Convert fractions to have same denominators 4/12+3/12+5/12= 1
Add both numbers together 9+1= 10
Find the volume of this solid
Answers
Answer:
42.39in^3
Step-by-step explanation:
half of 3= 1.5
Which 1.5 would be our radius. (r)
V= pi(3.14) x r^2 x h (VOLUME FORMULA FOR CYLINDER)
V= (3.14) x 1.5^2 x 6
V= (3.14) x 2.25 x 6
V= 42.39in^3
How do you find the area of the base and volume and height
I5 in
13 in
Answers
Volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.
The given figure is a hexagonal pyramid.
The base of the pyramid is hexagon.
We have to find the base of the pyramid by formula :
Base area = 3√3/2a²
Where a is the base length.
Base area = 3√3/2(13)²
= 3√3/2 ×169
=439.07 square inches.
Volume =√3/2b²h
h is height which is 30 in and b is base length of 13 in.
Volume =√3/2×169×30
=√3/2×5070
=2535×√3
=4390.74 cubic inches.
Hence, volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.
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What is the decimal representation of511? Responses 2.2 2.2 0.045⎯⎯⎯⎯ 0.045 with bar over 4 5 2.2⎯⎯ 2.2 with bar over 2 0.45⎯⎯⎯⎯
Answers
The decimal representation of 511 is simply 511, and the other responses given do not represent the value of 511 in decimal form.
It is important to understand the different types of decimal representations and how to convert between them when necessary.
The decimal representation of a number is the representation of the number in the base-10 system using only the digits 0 to 9.
In the case of 511, it is already in decimal representation and does not require any further conversion.
The other responses given are not the decimal representation of 511.
2.2: This is the decimal representation of the fraction 11/5, which is not equivalent to 511.
0.045 with bar over 45: This is the decimal representation of the fraction 1/22, which is also not equivalent to 511.
2.2 with bar over 2: This represents a repeating decimal of the form 2.222..., which is not equivalent to 511.
0.45 with bar over 5: This represents a repeating decimal of the form 0.454545..., which is also not equivalent to 511.
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Pleaseeee answer correctly !!!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
NI and HN
Step-by-step explanation:
They are marked congruent by the small lines in the middle of each segment, indicating marks for congruency.
A website is selling plastic rings for $0.63. The site got the plastic rings at a cost of $0.25. What percentage is the mark-up?
Answers
The percentage that is the mark-up is 152%
What percentage markup did the website make?From the question, we have the following parameters that can be used in our computation:
Initial value = $0.25
Final value = $0.63
The percentage mark up is then calculated as
Percentage mark up = (Final value - Initial value)/Initial value * 100%
Substitute the known values in the above equation, so, we have the following representation
Percentage mark up = (0.63 - 0.25)/0.25 * 100%
Evaluate
Percentage mark up = 152%
Hence, the percentage mark up is 152%
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PLEASE HELP WILL GIVE BRAINLIEST
Answer all parts of the question please!
Answers
Answer:
It's in the air for about 2 seconds (A), maximum height was about 17 feet, and yes you win the price since 17> 15.
Step-by-step explanation:
Aj rums 400 yards every week. Aj walks 90 more yards than he runs. Which equation can be used to find x, the number of yards that Aj walks and runs each week
Answers
The equation that can be used to find x, the number of yards that Aj walks and runs each week is 2x = 400 + 90.
Let's assume that Aj runs x yards each week. Then, the number of yards that Aj walks each week would be (x + 90) yards, since he walks 90 more yards than he runs.
The total distance that Aj covers each week would be the sum of the distance that he runs and the distance that he walks, which is given as 400 yards.
So, we can write an equation as:
Distance covered by Aj = Distance that he runs + Distance that he walks
or,
400 = x + (x + 90)Simplifying this equation gives:
2x = 400 + 90Therefore, the equation that can be used to find x, the number of yards that Aj walks and runs each week is 2x = 400 + 90.
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