Answer: x = -9
Step-by-step explanation: 4
x
+
2
=
3
x
−
7
⇒
4x−3x=−7−2⇒x=−9
Solve, to two decimal places, the equation
The trigonometric equation is 5sin²x + 3sinx - 1 = 0.
What is a trigonometric equation?
A trigonometric equation is one that incorporates a variable-based trigonometric function. One illustration of a trigonometric equation is sin x + 2 = 1. This equation or one that is more complicated, such as sin2 x - 2 cos x - 2 = 0, can be used in the equations.
Here, we have
Given: (5/2)cos2x - 1/2 = 3sinx
We know that
cos2x = 1 - 2sin²x
Then our equation become
(5/2) (1 - 2sin²x) - 1/2 = 3sinx
5/2 - 5sin²x - 1/2 = 3sinx
2 - 5sin²x = 3sinx
-5sin²x + 2 - 3sinx = 0
5sin²x + 3sinx - 1 = 0
Hence, the trigonometric equation is 5sin²x + 3sinx - 1 = 0.
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Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 6600 . The number of fish grew to 1020 in the first year.
a) Find a logistical model for the number of fish P(t) after t years
P(t)=
b) How long will it take for the population to increase to 3300 hhalf of the carrying capacity)?
It will take years.
Answer:
Below
Step-by-step explanation:
from 800 to 1020 is a 220/800 * 100% = 27.5% increase each year
P(t) = 800 ( 1 + .275)^t
3300 = 800 ( 1+.275)^t
3300 / 800 = 1.275 ^t LOG both sides
.615423 / LOG 1.275 = t = 5.83 years
To produce the graph of y = ( x + 5 ) 2 − 2 from y = x 2 , you should
To produce the graph of y = (x+5)^2−2 from y=x , you should translate the graph left by 5 units, then downward by 2 units.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph. To develop a graph is to make a diagram that depicts the relationship between two or more objects. Make a sequence of bars on graph paper as an example of a graph. In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs.
Here,
Translate the graph left by 5 units, then downward by 2 units, to create the graph of y = (x+5)^2-2 starting from y=x.
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Pls help me it’s for my grade
Answer:
[tex]\frac{1}{4}s^2[/tex]
Step-by-step explanation:
Use the formula for the area of a square and divide the result by 4.
In triangle XYZ, m < Y= 38.25 and m < Z= 74.3. Determine the measure of the exterior angle to < X.
The measure for the exterior angle to the angle X of the triangle XYZ is 112.55°
How to find the exterior angle to angle XIn any triangle, an exterior angle is equal the sum of its two opposite interior angles is equals.
For the triangle XYZ, the exterior angle to the angle X is equal to the sum of the two opposite interior angles Y and Z
angle Y = 38.25° and angle Z = 74.3°
exterior angle to X = 38.25° + 74.3°
exterior angle to X = 112.55°
This implies that the angle X = 180° - 112.55° = 67.45°
and 67.45° + 38.25° + 74.3° = 180° which is true for the sum of interior angles of a triangle.
Thus, exterior angle to the angle X that is derived to be 112.55° is true for the triangle XYZ.
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Answer:
112.55
Step-by-step explanation:
i got it right
help meeeeeeeeeee pleaseee
For an average intake of 2200 calories per day, the number of acres of land owned is 2.03
How to determine the number of acres?From the question, we have the following calories function that can be used in our computation:
C(x) = 270 ln(x + 1) + 1900
Also from the question, we have
Average intake of calories = 2200 inches
This means that
C(x) = 2200
So, we have the following equation
270 ln(x + 1) + 1900 = 2200
Subtract 1900 from both sides
270 ln(x + 1) = 300
Divide 270 from both sides
ln(x + 1) = 1.11
Take the exponent of both sides
x + 1 = 3.03
So, we have
x = 2.03
Hence, the number of acres is 2.03
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Find 3A + 2B.
A =
95
- 3 7
[:] [4]
B =
16
3 - 1
the addition of the matrix 3A + 2B is [tex]\left[\begin{array}{ccc}29&27\\9&16\\\end{array}\right][/tex]
What is matrix?
The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them. The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively. A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.
A = [tex]\left[\begin{array}{ccc}9&5\\1&6\\\end{array}\right][/tex], B =[tex]\left[\begin{array}{ccc}1&6\\3&-1\\\end{array}\right][/tex]
3A = [tex]\left[\begin{array}{ccc}27&15\\3&18\\\end{array}\right][/tex]
2B = [tex]\left[\begin{array}{ccc}2&12\\6&-2\\\end{array}\right][/tex]
3A + 2B = [tex]\left[\begin{array}{ccc}29&27\\9&16\\\end{array}\right][/tex]
Hence, the addition of the matrix 3A + 2B is [tex]\left[\begin{array}{ccc}29&27\\9&16\\\end{array}\right][/tex]
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Divide
(-21yx+31y²x⁴) ÷ (-4y²x⁴)
Simplify your answer as much as possible
Solution:
Given:
(-28yx+ 31y²[tex]x^{4}[/tex])/(-4y²[tex]x^{4}[/tex])
[tex]\frac{-28yx}{-4y^{2}x^{4} }[/tex] + [tex]\frac{31y^{2}x^{4}}{-4y^{2} x^{4} }[/tex]
[tex]\frac{7}{x^{3} y}[/tex] + [tex]\frac{31}{4}[/tex]
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After dividing the given equation, the answer in the simplest form is [tex]\frac{7}{x^{3} y}- \frac{31}{4}[/tex]
What do you mean by simplest form?
A fraction with a denominator and numerator that are both relatively prime has the simplest form. It indicates that the fraction's numerator, which is the portion at the top of the fraction, and denominator, which is the portion at the bottom, do not share any factors other than one.
An amount that represents a fraction of a whole is called a fraction. A fraction's reduced form is another name for its simplest form. A fraction with a common factor of one, such as 34, has the simplest form. Although 2/4 can be further simplified and written as 12, it is not the most basic form. The fractions 12 and 2/4 are equivalent in this case, we can also say.
Given:
⇒(-28yx+ 31y²[tex]x^{4}[/tex])/(-4y²[tex]x^{4}[/tex])
⇒ [tex]\frac{-28yx}{-4x^{4}y^{2}}[/tex] + [tex]\frac{31y^{2}x^{4}}{-4y^{2} x^{4} }[/tex]
⇒ [tex]\frac{7} {x^{3} y}[/tex] - [tex]\frac{31}{4}[/tex]
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This is on pre-calculas please answer correctly.
For both cases time needs to double the invested money is 7.7016 years
What is continuous compounding?It is a mathematical expression define that interest can be compounded at any time even within any smallest period of time.
How do we calculate compounded continuously doubling money?When annual interest rate is given in a data along with invested money, we can calculate the years required to get doubled money by using the formula A= Pe∧(rt)
A is the double money of the investment
P is the investment
r is the annual interest rate
t time in years
as per question A=2P, r=0.09
2P =Pe∧(0.09t)
2= e∧(0.09t)
㏑2=0.09t
t= 7.7016 years
hence, it takes 7.7016 years to get double money
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Complete the inequalities for the domain and range of the solution set to equation below.
y=8 x-4
Where x is the number of days and y is the weight of the plant.
the domain = [1,∞) and range = [4 , ∞) for the given equation.
What is domain and range?
The set of all doable values that qualify as inputs to a operate is understood because the domain of the operate, or it may also be outlined because the entire set of values doable for freelance variables.
The set of all the outputs of a operate is thought because the vary of the operate or when subbing the domain, the whole set of all values attainable as outcomes of the variable.
Main body:
Given equation =
y=8x-4
as x is the number of days
and,y is the weight of the plant.
so x can not be negative
hence the domain of x = [1,∞)
As x is positive , y can not be negative as well.
Hence the domain = [1,∞) and range = [4 , ∞)
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Stephaine ran 3 miles in 30 minutes. At this rate, how long will it take for Stephaine to run 2 miles?\
Answer: It will take Stephanie 20 minutes to run 2 miles.
Step-by-step explanation:
Since 3 miles is equal to 30 minutes, let us find the number of minutes run per mile
divide 30 by 3
10-It takes 10 minutes to run 1 mile
multiply 10 by the number of miles, which is 2
2x10=20
20 minutes
Example 2
3. FOOTBALL The flight of a football thrown by a quarterback can be
modeled by an interval of a function. Sketch a nonlinear graph that
shows the height of a football y, in feet, as a function of time x, in
seconds.
Positive: between 0 seconds and 5 seconds
Negative: for time greater than 5 seconds (represents time after
the ball hits the ground)
Increasing: for time less than 2 seconds
Decreasing: for time greater than 2 seconds
Relative Maximum: at 2 seconds, when the height of the football is 9 feet
Height of Football (ft)
End Behavior: As time increases, the height of the football decreases.
Symmetry: The height of the football for time between 0 seconds and 2 seconds
is the same as the height for time between 2 seconds and 4 seconds.
The quadratic function that models the path of the ball is given as follows:
y = -(x - 2)² + 9.
The graph of this quadratic function is given by the image shown at the end of the answer.
How to define the path of ball?The ball is increasing, and then later it decreases, meaning that it is defined by a concave down quadratic function.
The ball has a positive height until 5 seconds, hence one of the roots of the quadratic function is of 5, that is, when x = 5, y = 0.
The vertex of the quadratic function is given as follows:
(2,9).
Hence the vertex form definition of the quadratic function is given as follows:
y = a(x - 2)² + 9.
When x = 5, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(5 - 2)² + 9
9a = -9
a = -1.
Hence the quadratic function is given as follows:
y = -(x - 2)² + 9.
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In an analysis of variance with a between-groups population variance estimate of 30 and a within-groups estimate of 25, the F ratio is A) 25 / (30–25) = 5.00
B) (30–25) / 30 = 0.17 C) 25 / 30 = 0.83
D) 30 / 25 = 1.20
The F ratio is 1.2.
What is statistic?
The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
30/25 = 1.2
In an ANOVA, this statistic is used in the F test to test the hypothesis that the group means are not equal to one another. The F ratio is calculated as follows:
Fobs=MSB/MSW
30/25 = 1.2
Where MSB is the mean square between the groups and MSW is the mean square within the groups.
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Suppose you send aboui 12 text messaqes a day, and your older sister sends
more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value.
Answer:
Step-by-step explanation:
if you send 12 messages a day.
and your sister sends and unkown number of texts per day but together you both send 26 number of total texts.
Then, suppose your sister sends X number of texts.
Then
X + 12 = 26
X = 26 - 12
X = 14
5x +6 (x-2) -8 (x-3) please help
Answer:
3x + 12
Step-by-step explanation:
5x + 6(x - 2) - 8(x - 3) ← distribute parenthesis
= 5x + 6x - 12 - 8x + 24 ← collect like terms
==(5x + 6x - 8x) + (- 12 + 24)
= 3x + 12
What is a residual for a multiple regression model and the data that is used to create it? select one.
Option d is correct
What is the "multiple regression" model:y=β0+β1x1+β2x2+β3x3+........+βkxk+ε
Where y is the "independent" variable and 0 to k are the "regression" coefficients. In a "multiple linear regression" model, the "independent" variables are x1, x2, x3,..., xk, and the "residual" or "error" term is.
The "residual" for the regression model is calculated using the following formula.
Residual=y-ŷ
Where y is the "independent variable's" "actual" value and is the "independent variable's" "predicted" value.
The "difference" between the "actual" value of the "dependent" variables and the corresponding "predicted" value when employing the "multiple regression" model is referred to as the "residual" in the "residual" formula.
A statistical technique for evaluating the relevance of a "multiple regression" model is the "F test." Linear models are A linear model is a statistic that explains the “relationship” between “response” and “predictor” variables. Using the “multiple regression” model, the “predicted” value of the “response” variable is denoted by ŷ.
hence option 4 is correct
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I understand you mean:
What is a residual for a multiple regression model and the data that is used to create it? Select one:
1.A statistic that is used to evaluate the significance of the multiple regression model
2.A statistic that explains the relationship between response and predictor variables
3.The predicted value of the response variable using the multiple regression model
4.The difference between the actual value of the response variable and the corresponding predicted value (regression error) using the multiple regression model
The top and bottom margins of a poster are 4 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 390 square centimeters, find the dimensions of the poster with the smallest area.
The dimensions of the poster with the smallest area are; 27.75 cm x 27.75 cm
How to solve algebra word problems?Let "x" and "y" denote the length and the width of the poster.
We are told that the margin of a poster are 4 cm and the side margins are 4 cm.
The length of the print = x - 2(4) = x - 8
The width of the print = y - 2(4) = y - 8
The area of the print = length * width = (x - 8)(y - 8)
The area of the print is given as 390 square inches. Thus;
(x - 8)(y - 8) = 390
Making y the subject gives;
y = (390/(x - 8)) + 8
The area of the poster is; A = xy
Thus;
A = x[(390/(x - 8)) + 8]
A = (390x/(x - 8)) + 8x
Minimizing the area gives;
A' = 8 - (3120/(x - 8)²)
Equating to zero gives;
8 - (3120/(x - 8)²) = 0
8(x - 8)² = 3120
(x - 8)² = 3120/8
(x - 8)² = 390
x = 27.75 cm
y = (390/(27.75 - 8)) + 8
y = 27.75 cm
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PLSSSSSSSS HELP!!!!!!
Samuel currently has 18 rocks in his collection and gains 4 each week. Lewis currently has 30 rocks in his collection and gains 3 each week. Part A: Set up a system of equations to show how many rocks each has in their collection. You must write two equations for this. (2 points) Part B: After how many weeks will Samuel and Lewis have the same number of rocks in their collections? Write out the equation used and show all work. (1 point) Part C: How many rocks will Samuel and Lewis have when the amount of rocks in their collection is equal? Show work on how this is found. (1 point)
Answer:
Part A:
Samuel: y=4x+18
Lewis: y=3x+30
Part B: 12 weeks
Part C: 66 rocks
Step-by-step explanation:
Part A:
X represents the number of weeks. With the current amounts, you add that to the equation.
Part B/C:
1. Have both equations equal to each other
4x+18 = 3x+30
2. Solve for x
x = 12
3. Substitute the given variable, x, into the equation y=4x+18
y=4(12)+18
4. Solve for y
y=66
x=12
y=66
Hi can you help me with this problem?and explain it to me thanks!
-
Euromart Tile Company borrowed $40,000 on April 6 for 66 days. The rate was 14% using the ordinary interest method. On day 25 of the loan, Euromart made a partial payment of $15,000, and on day 45 of the loan, Euromart made a second partial payment of $10,000.
a.
What was the new maturity value of the loan?
b. What was the maturity date of the loan?
Answer:
A. The new maturity value of the loan would be $15,000
B. The maturity data of the loan would be June 20
Step-by-step explanation:
N/A
Write an equation perpendicular to y= 3/4x -1 that passes through the point (3,-3)
Answer:
y = -x or y= -2x+3 will work
Which of the following are solutions to the equation |6x −1| = 17?
Select all that apply.
Answer: 3,-3
Step-by-step explanation:
|6x-1| = 17
For absolute value problems there is always two solutions. They will both be the same number, one positive and one negative.
6x-1 = 17
Add 1 to both sides.
6x-1 +1 = 17+1
6x=18
Now, divide by 6.
6x/6=18/6
x = 3
The two answers that would be correct are 3,-3.
Ginny and Bob are both locksmiths.
Ginny uses the function f(x)=60x+80 to determine the charge to her customers, where x represents the number of hours of labor.
The table shows what Bob charges a customer for x hours of labor.
x (hours) 0 1 2 3 4
cost ($) 60 140 220 300 380
Which locksmith charges less for an initial fee for a service call?
Drag a value or name to the boxes to correctly complete the statements.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Ginny charges Response area for an initial fee, and Bob charges Response area for an initial fee. Response area charges less for an initial fee.
Ginny charges $80 for an initial fee, and Bob charges $60 for an initial fee. Bob charges less for an initial fee.
What is a function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
f(x)=60x+80 is function that represents the charge to Ginny's customers, where x represents the number of hours of labor.
To find initial fee, put x = 0 in the given function.
Put x = 0 in f(x) = 60x + 80:
f(0) = (60×0) + 80
f(0) = 80
The initial fee is $80.
From the table,
When x = 0, cost = $ 60.
The initial fee is $60.
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A party rental company has chairs and tables for rent l. The total cost to rent 5 chairs and 6 tables is $53. The total cost to rent 3 chairs and 2 tables is $21. What is the cost to rent each chair and each table?
For the given word problem, the cost to rent each chair is $5.25 and each table is $2.625
What is a word problem?
A word problem is a short passage presenting a "real-life" situation where an issue needs to be solved using math. The word problem for groups is a classic example, but there are numerous additional examples as well. This question is in many significant circumstances undecidable, which is a profound conclusion of computational theory.
Let C be the cost per chair
Let T be the cost per table
The total cost to rent 5 chairs and 6 tables is $53.
Then, 5C+6T=42 ................ (i)
The total cost to rent 3 chairs and 2 tables is $21.
Then, 3C+2T=21 ................. (ii)
Now, by solving both equations, multiply (ii) by 3 and subtract (i), we get
9C - 5C = 63 - 42
or, 4C = 21
or, C = $5.25
Then, T = (21-3*5.25)/2 = $2.625
Hence, the cost to rent each chair is $5.25 and each table is $2.625
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How much would you need to deposit in an account now in order to have $4000 in the account in 15 years? Assume the account earns 2% interest compounded monthly.
2,985/- need to deposit in an account.
To calculate the interest we use one type of formula which is
A=P(1+r/n)^(t n)------------------(1)
In the above formula:
A = Accrued amount.
P = Principal amount.
r = Annual nominal interest rate as a decimal.
n = number of compounding periods per unit of time.
t = time in decimal years.
I = Interest amount.
ln = natural logarithm.
Given That
A=4000 t=15 r=2% n=2
changing the r in % into decimal we get 0.02.
Now we substitute the values in the above Formula, and we get
A=P(1+r/n)^(t n)
4000=P(1+.02/2)^(15*2)
4000=P(1.01)^(30)
4000=P(1.34)
4000/1.34=P
2,985=P
Principal = $2,985
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A 12-sided die is rolled. The set of equally likely outcomes is
{1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a 4.
Answer: 1/12
Reason:
There's one side we want (rolling the "4") out of 12 sides total. Each side has a probability of 1/12 of occurring since each side is equally likely.
Write an equation and solve.
The product of two consecutive integers is 29 more than their sum. Find the integers. Give your answers as comma-separated
numbers in ascending order.
The equation is n(n+1) = n + n+1 +29. The two consecutive integers are 6, 7 or -5, -4
How to write and solve an equation?
A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation
Given that: the product of two consecutive integers is 29 more than their sum.
Let the first integer and second integer be n and n+1 respectively
We can write the equation as:
n(n+1) = n + n+1 +29
n² + n = 2n + 30
n² + n - 2n - 30 = 0
n² + - n - 30 = 0
(n - 6) (n + 5) = 0
n - 6 = 0 or n + 5 = 0
n = 6 or n = -5
Thus, n+1 = 7 or n+1 = -4
Therefore, the two integers are 6, 7 or -5, -4
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What is the quotient of 3,487 divided by 44?
Answer:
79.25
Step-by-step explanation:
What is the quotient of 3,487 divided by 44?
3,487/44 = 79.25
Music Company A charges a $15 membership fee and $0.75 each to download a song. Music Company B charges $0.90 each to download a song with no membership fee.
a. For what number of songs will both companies charge the same amount? Justify your answer using mathematics.
songs
You anticipate that you will download 150 songs. Which company should you choose if you want to spend the least amount of money? Justify your answer using mathematics.
The number of songs that both companies will charge the same amount is 100. And to pay the least amount of money we need to choose Company B.
Linear Equation:The mathematical expressions that we used to find unknown numbers are called Linear Equations. These can be formed by variables and constant terms according to given conditions. Here we use variables like x, y, z, etc to represent unknown variables.
Here we have,
Music company A charges a $ 15 membership fee and a $ 0.75 for each downloaded song
Music company B charges $ 0.90 for each downloaded song without the membership fee
Given question
a. For what number of songs will both companies charge the same amount?
Let for x songs both companies will charge the same amount
Cost to download x songs from Company A
=> 15 + 0.75x
Cost to download x songs from Company B
=> 0.90x
As we assumed both costs are the same
=> 15 + 0.75x = 0.90x
=> 0.90x - 0.75 = 15
=> 0.15x = 15
-> x = 100
Therefore,
The number of songs that both companies will charge the same amount is 100.
b) You anticipate that you will download 150 songs. Which company should you choose if you want to spend the least amount of money?
Cost of 150 that charges company A = 15 + 150(0.75)
= 15 + 150(0.75) = 15 + 112.5 = 127.5
Therefore,
Company A will charge $ 127.5 for 150 songs
Cost of 150 songs that charges company B = 150(0.90)
= $ 135
Company B will charge $ 135 for 150 songs
Therefore,
Company B will charge $ 135 for 150 songs
Thus,
To pay the least amount of money we need to choose Company B.
Therefore,
The number of songs that both companies will charge the same amount is 100. And to pay the least amount of money we need to choose Company B.
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A sample of 200 g of an isotope decays to another isotope according to the function
How much money does Dana Jones have after 7 years if she invests $ 1100 at 5% interest compounded continuously?
Dana Jones has $__-after 7 years.
(Simplify your answer. Type an integer or a decimal. Round to the nearest cent as needed.)
Dana Jones have amount after 7 years is $1560.97.
What is compounded continuously?
Theoretically, continuously compounded interest means that an account balance continuously earns interest as well as reinvesting that interest into the balance so that it too earns interest.
Given: Dana Jones invests $ 1100 at 5% interest compounded continuously for 7 years.
We have to find the amount after 7 years.
Consider, the formula
A = Pe^rt
where,
A is the amount after t years
P is the invested amount
r is the interest rate
t is the number of years
Plug P = 1100, r = 5% = 0.05, and t = 7 in the above equation.
[tex]A = 1100e^0^.^0^5^(^7^)\\A= 1560.9743\\A = 1560.97[/tex]
Hence, Dana Jones have amount after 7 years is $1560.97.
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Natasha's Flowers, a local florist, purchases fresh flowers each day at the local flower market. The buyer has a budget of $1,000 per also a maximum amount the shop can sell. Based on past experience the shop has estimated the following NPV of purchasing each
Roses
Lilies
Pansies
Orchids
NPV per bunch
$1
$10
$4
$20
Cost per bunch
$21
$29
$33
$76
Max.
Bunches
25
10
10
5
What combination of flowers should the shop purchase each day?
The profitability index for each choice is: (Round to three decimal places.)
Roses
NPV per bunch
$1
Cost per bunch
$21
Max.
Bunches
25
Profitability Index (per bunch)
1. Based on the profitability index per bunch, the combination of flowers to purchase each day is 10 Lilies, 10 Pansies, and 5 Orchids, costing $1,000. On any other day, the florist can purchase 25 Roses.
2. The profitability index per bunch is as follows:
Roses = 1.0476Lilies = 1.345Pansies = 1.121Orchids = 1.270.What is the profitability index?The profitability index can also be described as the profit investment ratio or value investment ratio.
The profitability index shows the ratio of the investment's payoff and the investment cost.
The profitability index is computed as the net present value added to the initial cost and divided by the initial investment.
The profitability index is the quotient of the present value of future cash flows and the initial investment cost.
NPV Cost Max. Total Total
per bunch per bunch Bunches NPV Costs
Roses $1 $21 25 $25 $525
Lilies $10 $29 10 $100 $290
Pansies $4 $33 10 $40 $330
Orchids $20 $76 5 $100 $380
Total budget per day = $1,000
Profitability index = (NPV + Cost)/Cost
Roses = 1.0476 ($1 + $21)/$21
Lilies = 1.345 ($10 + $29)/$29
Pansies = 1.121 ($4 + $33)/$33
Orchids = 1.270 ($20 + $74)/$74
Learn more about the profitability index at https://brainly.com/question/29241903
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