Identify the values of P,r and n in the expression P(1 +r/n )nt based on Emma's situation. Then substitute those values
into the formula to write a simplified exponential expression in terms of time.
Replace the variables a, b, and c to write the expression.
Answers
The expression P(1 + r/n)^(nt) can be rewritten as a(1 + b/c)^(ct). 'a' represents the initial value, 'b' represents the growth rate, and 'c' represents the number of compounding periods per unit of time.
In order to identify the values of P, r, and n in the expression P(1 + r/n)^(nt) based on Emma's situation, we would need more specific information about the context of the situation. The variables P, r, and n typically represent the following:
P: Principal amount or initial value
r: Interest rate (expressed as a decimal)
n: Number of times interest is compounded per time period
However, without additional information, we cannot determine the specific values of P, r, and n in Emma's situation.
To write a simplified exponential expression in terms of time, we can replace the variables with different letters. Let's use a, b, and c as replacements for P, r, and n, respectively.
The expression P(1 + r/n)^(nt) can be rewritten as:
a(1 + b/c)^(ct)
In this simplified expression, 'a' represents the initial value, 'b' represents the growth rate, and 'c' represents the number of compounding periods per unit of time.
Please provide specific values for P, r, and n or any additional information related to Emma's situation, and I'll be able to provide a more accurate substitution and simplified exponential expression in terms of time.
Learn more about expression here
https://brainly.com/question/1859113
#SPJ11
Related Questions
A rectangular solid with sides a and b, and with a height of 20 cm has a volume of 120 cm³. Find the formula which defines b in terms of a. Why is this formula an indirect proportion? What is the domain of this function? A rectangular solid with sides a and b, and with a height of 20 cm has a volume of 120 cm³. Find the formula which defines b in terms of a. Why is this formula an indirect proportion? What is the domain of this function?
Answers
120 = ab(20)
Simplifying this equation, we get:
b = 6/a
Therefore, the formula that defines b in terms of a is b = 6/a.
This formula is an indirect proportion because as the value of a increases, the value of b decreases, and vice versa. In other words, the product of a and b is constant (in this case, 120), so if one of the variables increases, the other must decrease to maintain the same product.
The domain of this function is all positive real numbers except for a = 0, since division by zero is undefined. Therefore, the domain of the function is (0, ∞).
Factor the following polynomials:
1.) 100a² - 25b²
2.) m³ + 125
3.) 8a³ - 64b³
4.) x² - 8x + 12
5.) b² - 6b - 27
Answers
Step-by-step explanation:
1. 100a²-25b² [use : a²-b² formula : (a+b)(a-b)]
=> 25(4a²-b²)
=> 25(2a-b)(2a+b).
2. m³+125 [use : a³+b³ formula: (a+b)(a²-ab+b²]
=> m³+5³ => (m+5)(m²-5m+25).
3. 8a³-64b³ [use : a³-b³ formula: (a-b)(a²+ab+b²]
=> 8(a³-8b³) => 8(a-2b)(a²+2ab+b²)
4. x² - 8x + 12 [middle term breaking)
=> x²-2x-6x+12 => x(x-2)-6(x-2) => (x-2) (x-6)
5. b² - 6b - 27 [ middle term breaking]
=> b²-9b+3b-27 => b(b-9)+3(b-9) => (b-9)(b+3).
hope this helps you.
Sue Ellen sews quilts. She charges $45 for fabric and sewing supplies and $20 for each hour,
h, that she works. If Sue Ellen charges Louise $165, which equation can be used to determine
the number of hours that Sue Ellen spent sewing Louise's quilt?
A: 45h - 20 = 165
B: 45h + 20 = 165
с: 20h - 45 = 165
D: 20h + 45 = 165
Help fast!
Answers
Answer:
D: 20h + 45 = 165
Step-by-step explanation:
20 for EACH hour means that there's a variable (h) attached to 20 so it has to be 20h
Because of that, we can eliminate choices A and B.
Charges mean that it's ADDED to the price so it has to be 45 PLUS 20h
20h + 45 = 165
what is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(17)x?
Answers
The equation is shown in the graph as (C) g(x) = (1/7)^x - 4.
What are equations?A relationship between two terms on either side of an equal sign is described by a straightforward equation.
Additionally, addition, basic arithmetic, multiplication, and division are one or more of the four arithmetic calculations that simple equations undertake.
The system of equations can be expressed in three different ways: in point-slope form, standard form, and slope-intercept form.
So, the parent function is therefore known to be:
f(x) = (1/7)^x
Observe that the y-intercept results from evaluating this in zero:
f(0) = (1/7)^0 = 1
The graph's y-intercept is located at y = -3.
As a result, the function was translated downward by 4 units, bringing it to a point 4 units below the y-intercept of the parent function.
Thus, the graphed function is as follows:
g(x) = f(x) - 4
g(x) = (1/7)^x - 4
Therefore, the equation is shown in the graph as (C) g(x) = (1/7)^x - 4.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ4
Complete question:
What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x ?
A. g(x)=(1/7)^x−3
B. g(x)=(1/7)^x−2
C. g(x)=(1/7)^x−4
D. g(x)=(1/7)^x+3
25 cents:R4have a good night
Answers
Answer:
“It is hard enough to remember my opinions, without also remembering my reasons for them!”
- Friedrich Nietzsche
Step-by-step explanation:
Good Night ig-Answer:
Goog nigh
Ig byeeeeeeeeeee
I need help with this asap 50 points awarded!!!
Vector v is shown in the graph.
vector v with initial point at 8 comma negative 3 and terminal point at 3 comma 6
What is the component form of v? (5 points)
vector v equals open angle bracket 5 comma negative 9 close angle bracket
vector v equals open angle bracket negative 5 comma 9 close angle bracket
vector v equals open angle bracket 3 comma 6 close angle bracket
vector v equals open angle bracket negative 3 comma 6 close angle bracket
Answers
Answer:
v = (- 5, 9 )
Step-by-step explanation:
v = terminal point - initial point
= (3, 6 ) - (8, - 3 ) ← subtract corresponding components
= (3 - 8, 6 - (- 3) )
= (- 5, 6 + 3)
= (- 5, 9 )
what is the value of x and y?
Answers
All angles in an equilateral triangle have equal values
Both angle x and y equal 60 degrees.
Hey peoples I have a question about Quadratics so one question said
(x+9)(x+4) find the middle term do they mean like the standard form is a^2+ bx+c
are they asking to find b?
Answers
Answer:
Yes
Step-by-step explanation:
In \(a^2+bx+c\), b is the middle term.
Definition of a derivative (limit of the difference quotient)
Answers
The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:
f'(a) = lim (h → 0) [f(a + h) - f(a)] / h
What is derivative?
The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.
The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:
f'(a) = lim (h → 0) [f(a + h) - f(a)] / h
This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).
The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.
To learn more about derivative visit:
https://brainly.com/question/30403647
#SPJ4
A group of friends were working on a student film that had a budget of $1400. They used 23% of their budget on equipment. How much money did they spend on equipment?
Answers
Answer: $322
Step-by-step explanation:
1400x0.23 = $322
5. Given no other restrictions, what are the domain and range of the following function?
f(x) = x2 – 2x + 2
OD= all real numbers
R = {yl y> 1}
OD = {xx> 1}
R= all real numbers
OD = all real numbers
R= {yly<1}
OD = {x|x>0}
=
R = all real numbers
Answers
Answer:
Step-by-step explanation:
ILL GIVE BRAINLIEST I NEED STEP BY STEP EXPLANATION PLZ ITS PAST DUE
Answers
Answer:
Answer is given in the attachment
hope it's helpful!!
Priya decomposed a square into 16 smaller, equal-size squares and then cut out 4 of the small squares and attached them around the outside of the original square to make a new figure. How does the area of her new figure compare with that of the original square? A) The two figures have the same area. B) The area of the new figure is greater. C) The area of the original square is greater. D) we don’t know because neither the side length nor the area of the original square is known.
Answers
Answer:
sorry
I don't know how to solve this issue
The correct answer is A) The two figures have the same area.
Given that Priya decomposed a square into 16 smaller, equal-size squares and then cut out 4 of the small squares and attached them around the outside of the original square to make a new figure.
We need to compare the areas of the two,
When Priya decomposed the square into 16 smaller, equal-size squares, she essentially divided the original square's area into 16 equal parts.
After cutting out 4 of the small squares and attaching them around the outside of the original square to create the new figure, the total area remains the same.
Let's consider the area of the original square to be 'x'.
Since it was divided into 16 equal-size squares, each smaller square's area would be 'x/16'.
Now, when she removes 4 of these small squares, the total area of those 4 squares is '4(x/16) = x/4'.
By attaching these squares around the outside of the original square, they fill the exact space that was cut out, resulting in the new figure with the same total area as the original square.
Hence, the two figures have the same area, and the correct answer is A.
Learn more about Squares click;
https://brainly.com/question/14198272
#SPJ7
HELP ME PLEASEEEEEEEEEE
Answers
Answer:
a)
Step-by-step explanation:
note that the shaded dot means that it's either a greater than or equal to sign or a less than or equal to sign
but when it's not shaded it's means it's simply a greater than or less than sign
so
m+3<10
carry the 3 over the < sign
this will make the 3 become negative
m<10-3
now subtract
m<7
Select the choice that follows the correct sequence of steps in solving this inequality.
-1/2y - 1 < or equal to 3
Answers
Answer:
what are the choices?? if you don't mind me asking
In this problem, p and C are in dollars and x is the number of units. A monopoly has a total cost function C = 1,000 + 120x + 6x2 for its product, which has demand function p = 360 - 3x – 2x2. Find the consumer's surplus at the point where the monopoly has maximum profit. Step 1 We must first find the point where profit is maximized. Because the demand for x units is p = 360 – 3x – 2x, the total revenue is the following. R(x) = px = (360 – 3x – 2x2)( = –2x3 – 9x2 + 240x – 1000 *
Answers
To find the consumer's surplus at the point where the monopoly has maximum profit, we first need to find the quantity (x) that maximizes the monopoly's profit. The profit function (P) can be calculated by subtracting the total cost (C) from the total revenue (R):
P(x) = R(x) - C(x)
Given that the total cost function is C = 1,000 + 120x + 6x^2 and the total revenue function is R(x) = (360 - 3x - 2x^2) * x, we can substitute these equations into the profit function and simplify:
P(x) = (360 - 3x - 2x^2) * x - (1,000 + 120x + 6x^2)
P(x) = -2x^3 - 9x^2 + 240x - 1,000
To find the value of x that maximizes the profit, we can take the derivative of the profit function with respect to x and set it equal to zero:
P'(x) = -6x^2 - 18x + 240 = 0
solving for x, we get x = 5 or x = -12.5. Since x represents the number of units, we reject the negative value and conclude that the monopoly has maximum profit when it produces and sells 5 units.
The quantity demanded is given by the demand function, which is p = 360 - 3x - 2x2. Setting this equal to 5, we get p = 325. Therefore, the equilibrium price is $325 per unit. The consumer's surplus is the difference between the maximum amount that consumers are willing to pay and the actual price they pay. The maximum amount that consumers are willing to pay for a unit is given by the demand function evaluated at x = 0, which is p = 360. Therefore, the consumer's surplus at the point where the monopoly has maximum profit is $35 per unit, which is the difference between 360 and 325.
Learn more about maximum profit here:-brainly.com/question/17200182
#SPJ11
Select the equation of a straight line that is perpendicular to the line y = 3x-2
Answers
y = 3x - 2
is -3.
The slope of the perpendicular line will be m, and m needs to satisfy the equation
3 * m = -1
Hence m = -1/3.
Our perpendicular line is thus
y = (-1/3)x + b
for some constant b.
We are told that the perpendicular line goes through the point (-9,5). If so, then the following must hold:
5 = (-1/3)(-9) + b
= 3 + b
b = 2
Ans: y = (-1/3)x + 2
2x + 3y = 12
2x - y = 4
Answers
Answer:
The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)
Step-by-step explanation:
The difference of twice a number and 2 is -21
Answers
Answer:
2x-2= -21
Step-by-step explanation:
Answer:
-9.5
Step-by-step explanation:
We can create an equation to represent this, where \(n\) is the missing value.
\(2n - 2 = -21\)
Now we can solve for \(n\) by isolating it on one side of the equation.
Add 2 to both sides:
\(2n - 2 + 2 = -21+2\\\\2n = -19\)
Divide both sides by 2:
\(2n\div2 = -19\div2\\\\n = -9.5\)
Hope this helped!
What is the range of the function graphed below?
Answers
Answer:
-3<y<3 The filled in dot means 3 is greater than or equal to.
Suppose g(x) = f(x) + k. Identify a value of k that transforms f into g.
The x and y axis graph having range from minus four to four by increment of one and every alternate tick mark is labeled. In the graph, there are two parallel lines f and g. The line f passing through the points (-1, -2) and (0, 2). The line g passing through the points (0, -3) and (1, 1).
k =
Answers
By using the given y-intercepts, we can see that the value of k is 5.
How to determine the value of k?
We know that the function g(x) is defined as:
g(x) = f(x) + k
This is what we know as a vertical translation of k units.
If k is positive, the translation is upwards.
if k is negative, the translation is downwards.
We know that Line f passes through the y-axis at y = 2, while g(x) does this at y = -3
(because f(x) passes through (0, 2) and g(x) through (0, -3), these points define the y-intercepts)
Because how it is defined g(x), we know that if f(x) passes through a point (x, y), then g(x) passes through (x, y + k)
Using these two points we can write:
(0, -3) = (0, 2 + k)
then:
-3 = 2 + k
-3 - 2 = k
-5 = k
Learn more about translations:
https://brainly.com/question/24850937
#SPJ1
Is 0.56 greater or less than 4/5
Answers
Answer:
0.56 is less than 4/5
Step-by-step explanation:
Could I get brainliest please?
Answer:
Step-by-step explanation:4/5 is greater you can use a calculator
the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answers
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
Solve for a. please help me thanks
Answers
Answer:
26 is your answer
Please help and show work, will give lots of points!
Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3/5 of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.
y = []x + []
(Use above format to write the equation.)
What does the y-intercept of this linear equation represent?
A. Pages already read
B. Pages in book
C. Pages read each day
D. Days to finish
Answers
Answer:
The linear equation is y = 450 - 30 x, where y is the number of pages
Lourdes has left to read after x days
Step-by-step explanation:
Each day, Lourdes reads 30 pages of a 450-page book
- We need to write a linear equation to represent the number of pages
Lourdes has left to read after x days
∵ Lourdes reads 30 pages each day
∵ Lourdes will read for x days
∴ The number of pages Lourdes will read in x day = 30 x
- The left pages will be the difference between the total pages of the
book and the pages Lourdes read
∵ The book has 450 pages
∵ Loured will read 30 x in x days
∴ The number of pages left = 450 - 30 x
- Assume that y represents the number of pages Lourdes has left
to read after x days
∴ y = 450 - 30 x
The linear equation is y = 450 - 30 x, where y is the number of
pages Lourdes has left to read after x days
Find the constant of proportionality for the table of values:
The constant of proportionality is K=
Answers
Answer:
3.5 =k
Step-by-step explanation:
If the table is proportional, the equation is
y = kx
To find k
y/x =k
14/4 = k
7/2=k
3.5 =k
Answer:
3.5
Step-by-step explanation:
\(y/x \\14/4\)
also known as 14 divided by 4 which equals 3.5
Help me with this please??????????
ABCF is a rectangle.
CDEF is a trapezium.
AE is a straight line.
AB = 9 cm, AE = 11 cm and DE = 5 cm.
The perimeter of rectangle ABCF is 28 cm.
Calculate the area of trapezium CDEF.
F
с
11 cm
А
9 cm
B
+
I
Answers
Answer:
42cm^2
Step-by-step explanation:
are u in a test ;-;
two width is 28-9*2=10
width=5
ef=trapezium height=6
traqiuzm area=(5+9)*6/2
ANSWER IS 42
help plssssssssssssssss
Answers
Answer:
i think Cfollow meplease
Answer:
it is option B hope it help
your day will full of happiness
Given z = 4[cos(pi/2)+isin(pi/2)], what is z^3?
Answers
The value of z³ on substituting values of sin and cos, if z = 4[cos(π/2) + i sin(π/2)] is -64i.
What is trigonometry?
Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine, cosine, and tangents are their names and acronyms (tan).
Given:
z = 4[cos(π/2) + i sin(π/2)]
Put the value of sin π/2 = 1 and cos π/2 = 0
z = 4[0 + i × 1]
z = 4i
Calculate the value of z³ as shown below,
z³ = (4i)³
z³ = 64i³ i³ = -i
z³ = 64 ×(-i)
z³ = -64i
To know more about Trigonometry:
https://brainly.com/question/17081568
#SPJ1
1. The reciprocal parent function is translated 2 units left and 9 units down.
Write an equation to represent the new function.
Answers
Answer:
y= -2x-9
Step-by-step explanation:
x would move left or right, and up and down is y
left or down are negative and up or right are positive