Answer:
They represent the rise and run of the graph.
Step-by-step explanation:
The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)
The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).
The ratio of rise to run is the slope of the graph, which tells us how many steps should we take on the y-axis for every step we move forward on the x-axis.
An annuity-immediate has 32 payments of $500 per period. The effective rate of interest per period is 8% for the first 12 periods and 4% for the following 20 period: (A) Find the accumulated value of the annuity. Round your answer to 2 decimal places. x (B) Find the present value of the annuity. Round your answer to 2 decimal places. x
a. The Total Accumulated value of the annuity is $17205.50
b. The Total Present value of the annuity is $6357.31
(A) To find the accumulated value of the annuity, we need to calculate the future value of each payment and sum them up. The annuity has 32 payments of $500 per period.
For the first 12 periods, the effective rate of interest is 8%. Using the formula for the future value of an ordinary annuity, which is FV = P X ((1 + r) ^ n - 1) / r, where FV is the future value, P is the payment, r is the interest rate per period, and n is the number of periods, we can calculate the accumulated value for these 12 periods:
FV1 = $500 X ((1 + 0.08) ^ 12 - 1) / 0.08= 14572.5
For the following 20 periods, the effective rate of interest is 4%. Using the same formula, we can calculate the accumulated value for these periods:
FV2 = $500 X ((1 + 0.04) ^ 20 - 1) / 0.04=2633.00
To find the total accumulated value of the annuity, we sum up the two values:
Accumulated Value = FV1 + FV2=$17205.50
(B) To find the present value of the annuity, we need to discount each payment to the present using the appropriate discount rate for each period. Since the annuity has different interest rates for the first 12 periods and the following 20 periods, we need to discount each payment separately.
For the first 12 periods, the discount rate is 8%. Using the formula for the present value of an ordinary annuity, which is PV = P * (1 - (1 + r) ^ -n) / r, where PV is the present value, P is the payment, r is the interest rate per period, and n is the number of periods, we can calculate the present value for these 12 periods:
PV1 = $500 X (1 - (1 + 0.08) ^ -12) / 0.08=$2328.31.
For the following 20 periods, the discount rate is 4%. Using the same formula, we can calculate the present value for these periods:
PV2 = $500 X (1 - (1 + 0.04) ^ -20) / 0.04=$4092.
To find the total present value of the annuity, we sum up the two values:
Present Value = PV1 + PV2=$6357.31
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5+9-4+5= what? What is the answer?
Answer: 5
Step-by-step explanation:
Answer:
The answer of 5+9-4+5 is 15
Which expression is not equivalent to mn + 5
A function is defined by fx) = 5(2-x). What is f(-1)?
Answer:
f ( x ) = 15
Step-by-step explanation:
Step 1:
f ( x ) = 5 ( 2 - x ) Function
Step 2:
f ( - 1 ) Given
Step 3:
f ( x ) = 5 ( 2 - ( - 1 ) ) Input x
Step 4:
f ( x ) = 5 ( 3 ) Combine Like Terms
Answer:
f ( x ) = 15
Hope This Helps :)
Answer:
15
Step-by-step explanation:
Since there is a -1 in place of the x, that means for every x value, x = the number in place of the x, so in this case every x would equal -1.
f(x) = 5(2-x)
f(-1) = 5(2+1)
f(-1) = 5(3)
f(-1) = 15
What are the minimum and maximum values of t for which ſt + 31 < 2?
Answer:
maximum : [tex] ϵ -29 [/tex] a number infinitesimally larger than -29, or -28 if you prefer integers
minimum : [tex] -\infin [/tex]
negative infinity
Explanation:
if t + 31 < 2
than t + 31 - 31 < 2 - 31
t < -29
[tex] -\infin < t \:< - 29[/tex]
any number less than -29
ϵ just means infinitesimal small quantity denoted as [tex] \pm \frac{1}{\infin} [/tex]
Parallelogram P Q R S is rotated about point Q 180 degrees to form parallelogram P prime Q prime R prime S prime. Parallelogram P prime Q prime R prime S prime is reflected across line of reflection l to form parallelogram P double-prime Q double-prime Q double-prime S double-prime.
Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?
Answer:
a
Step-by-step explanation:
i just took the quiz
Answer:
D.
Step-by-step explanation:
The function f has a domain of { 2, 4, 6, 8} and a range of {1, 3, 5}. Could f be represented by {(2,1), (4,3), (6, 5), (8,1)}? Explain your answer.
Answer:
yes
Step-by-step explanation:
The coordinates don't have more than 1 of the same input and the x values are in the domain and the y values are in the range.
Hope this helps
Can someone please help me
Answer:
Looks like (-5,1.5)
Step-by-step explanation:
Because it is halfway between the 1 and the 2
Hope This Helps!
(NEED DONE QUICK) Two angles are supplementary. One of the angles measures 4(2x+9) and the other angle measures 2(4x-8) what is the value of x?
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
[tex]4(2x+9)+2(4x-8)=180[/tex]
Now that we have our equation, let's distribute the [tex]4[/tex] and the [tex]2[/tex] into the parentheses they are next to:
[tex]8x+36+8x-16=180[/tex]
Combine like terms:
[tex]16x+20=180[/tex]
Subtract [tex]20[/tex] from both sides of the equation:
[tex]16x=160[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]16[/tex]:
[tex]x=10[/tex]
~
Check your work by substituting [tex]10[/tex] into one of the equations above:
[tex]8(10)+36+8(10)-16=180[/tex]
[tex]80+36+80-16=180[/tex]
[tex]180=180[/tex]
It's correct!
Hey can someone help me out here? I have 3 questions i will give brainliest and it's worth 100 points no cap.
1.) For the following conditional statement, write the a.)
inverse and b.) converse.
If it is Saturday, then there is no school.
2.) Write the following statement in if-then form.
All freshman are required to attend orientation.
3.) Fill in the blank for the following two-column proof.
Given: 3x+1=-14 Prove: x=-5
Statements Reasons
1. 3x+1=-14 Given
2. 3x=-15 ________________________
3. X=-5 Division Property
Answer:
see below
Step-by-step explanation:
1. The inverse means take the not of both sides
If it is Saturday, then there is no school.
Inverse If it is not Saturday, then there is school.
The converse flips the then and the if
If there is no school, then it is Saturday.
2.) The first given part is the if, what will happen is the then part
If you are a freshman, then you are required to attend orientation.
3.)
Given: 3x+1=-14 Prove: x=-5
Statements Reasons
1. 3x+1=-14 Given
2. 3x=-15 Subtraction Property of equality ( since we subtract 1 from each side)
3. X=-5 Division Property ( since we divide each side by 3)
You have completed 45 assignments which is 75% of your total for the year. How many total assignments are you assigned?
Answer:
60
Step-by-step explanation:
45/3 + 45 = 60
Which ordered pair is a solution to the set of linear inequalities below?
I am not 100% sure but I believe its D
Q. 3) (20 p.) Consider the integral ∫ 1/z-a dz where C is any closed contour that goes around the point z = a once in the positive direction. Evaluate the integral on the contour with starting point at z = a + eᶦ ⁰.
To evaluate the integral ∫ 1/(z-a) dz along a closed contour C that goes around the point z=a once in the positive direction, we can apply Cauchy's Integral Formula. The integral is equal to 2πi times the residue, which is 2πi * 1 = 2πi.
The value of the integral depends on the properties of the function inside the contour, specifically whether the function has a singularity at z=a.
The given integral is of form ∫ 1/(z-a) dz, where z-a represents the denominator. If contour C encloses the point z=a and the function 1/(z-a) has a singularity at z=a, we can apply Cauchy's Integral Formula. According to the formula, the integral evaluates to 2πi times the value of the function at the singularity.
In this case, the function 1/(z-a) has a simple pole at z=a. When integrating around a simple pole, the value of the integral is 2πi times the residue of the function at the pole. The residue of 1/(z-a) at z=a is simply 1.
Therefore, evaluating the integral ∫ 1/(z-a) dz along the given contour C with a starting point at z=a + e^i0, we find that the integral is equal to 2πi times the residue, which is 2πi * 1 = 2πi.
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If mABF= (7x+ 20) ° , mFBC= (2x–5) ° , and m
ABC= 159 ° , find the value of x
find a formula for the amount of kool-aid in lake beta t hours after the crash.
The formula for the amount of Kool-Aid in Lake Beta t hours after the crash can be determined using the equation below: k(t) = 120(1 - 0.1)^(t/4)
When a shipment of Kool-Aid crashes near Lake Beta, the Kool-Aid powder gets dumped into the lake. The initial amount of Kool-Aid in the lake is 120 kg. The rate of decay for the Kool-Aid is 10% every 4 hours. We can determine the formula for the amount of Kool-Aid in Lake Beta t hours after the crash.
The formula for the amount of Kool-Aid in Lake Beta t hours after the crash can be determined using the equation below:
k(t) = 120(1 - 0.1)^(t/4)
In this equation, the initial amount of Kool-Aid in the lake is 120 kg. The rate of decay is 10%, which means that 10% of the Kool-Aid disappears every 4 hours.
This rate of decay is represented by the factor (1 - 0.1)^(t/4).
To determine the amount of Kool-Aid in the lake after t hours, we simply substitute the value of t into the equation.
For example, if we want to know the amount of Kool-Aid in the lake after 8 hours, we would substitute t = 8 into the equation;
k(8) = 120(1 - 0.1)^(8/4) = 84 kg
Therefore, after 8 hours, there would be 84 kg of Kool-Aid in Lake Beta.
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What is the range of this function?
A {-4, 1, 7, 15,}
B {-4, -1, 15, 18}
C {-4, -1, 1, 4, 7, 8, 15, 18,}
D {-1, 4, 8, 18,}
Use the function g(x)=5x−2
to complete the table.
x
g(x)
-4
-7
0
23
38
Answer:
komi chunga lilo mas te ordo
Step-by-step explanation:
What is the equation of a line in slope intercept formula that has a slope of 4 and goes through the point (-2,-11)
write the sentence as inequality. one-half is at least 3 times a number p
Answer: 1/2 > 3p
Step-by-step explanation:
find the ratio which are the points p(X,2) divides the line segment joining the point a(12,5) and b(4,-3) also find X plz give answer for this
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
Step-by-step explanation:
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) see graph
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 when simplified
To find the distance, use the distance formula OR pythagorean theorem.
What does the "b" in y=mx+b form stand for?
A.change in x over change in y
B. y-intercept
C.slope
D.No answer text provided,
Which functions are equivalent to f (x) = RootIndex 4 StartRoot 162 EndRoot Superscript x? Check all that apply.
Answer:
1,3,5
Step-by-step explanation:
Answer:
A.B. E.
Hope this helps!
Step-by-step explanation:
PLEASE HELP ME WITH THIS ITS 10 POINTS!!! Im begging you
Answer:
x = 5 weeks
Step-by-step explanation:
MX + B
Jacob: 7x + 40
Savannah: 5x + 50
Equality:
7x + 40 = 5x + 50
subtract 5x from both sides of equation
2x + 40 = 50
subtract 40 from both sides of equation
2x = 10
divide by 2
x = 5 weeks
Answer:
j = 7x +40; s = 5x +50x = 5Step-by-step explanation:
Jacob is saving $7 per week, so after x weeks, he has saved 7x in addition to the $40 he started with:
j = 7x +40
Similarly, Savannah is saving $5 per week in addition to the $50 she started with, so her savings will be ...
s = 5x +50
Jacob and Savannah will have the same amount of money when ...
j = s
7x +40 = 5x +50 . . . . substitute for j and s
2x +40 = 50 . . . . . . . . subtract 5x from both sides
2x = 10 . . . . . . . . . . . . subtract 40 from both sides
x = 5 . . . . . . . . . . . . . . divide both sides by 2
_____
Comment on the equations
I used j and s for the amounts that Jacob and Savannah accumulated, because I like to use variable names that remind me what they stand for. You may be expected to write these as y = equations, where y stands for the amount each person has saved.
Find the area of a circle with radius, r = 14cm.
Give your answer rounded to 3 SF.
Answer:
616 cm^2
Step-by-step explanation:
using π r ^ 2
22/7 × 14^2
616 cm^2
acqueline reads 25 pages every night. Which graph correctly displays y, the total number of pages that Jacqueline has read after x days?
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A horizontal line is at y = 25.
On a coordinate plane, an exponential curve graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis.
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (0, 25) and (13, 40).
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).
Answer:
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).
Step-by-step explanation:
Answer:
D- (1,25) (2,50)
Step-by-step explanation:
edge 2020
WILL GIVE BRAINLIEST!!
Find the value of x in the diagrams below.
a) 71
b.) 32
c.) 109
d.) 24
Answer:
(3x - 1 )° is equals to 71 degreesthe statement will be 3x - 1 degree is equal to 71 degree put the like terms together 3 x is equals to 71 degrees + 1 degrees then it'll be 3 x is equals to 72 then divide both sides by 3 will get x is equals to 24 degrees
Question 11:
Solve the following LP formulation in Excel
Maximize Z=300×1+90×2+400×3+150×4
subject to:
$35,000×1+10,000×2+25,000×3+90,000×4≤$120,000
4×1+2×2+7×3+3×4≤12 acres
×1+×2≤1 facility
×1,×2,×3,×4=0 or 1
By solving the LP formulation using Solver in Excel, you will obtain the optimal values for the decision variables x1, x2, x3, x4 that maximize the objective function Z.
To solve the given linear programming problem in Excel, you can use the Solver add-in. Here are the steps to set up and solve the LP formulation:
Step 1: Set up the Excel spreadsheet with the following columns:
Column A: Variables (x1, x2, x3, x4)
Column B: Coefficients of the objective function (300, 90, 400, 150)
Column C: Constraint coefficients for the first constraint (35000, 10000, 25000, 90000)
Column D: Constraint coefficients for the second constraint (4, 2, 7, 3)
Column E: Constraint coefficients for the third constraint (1, 1, 0, 0)
Column F: RHS values for the constraints (120000, 12, 1)
Column G: Variable type (0 or 1)
Column H: Variable names (optional)
Cell J2: Objective function (formula: =SUMPRODUCT(B2:B5, G2:G5))
Step 2: Set up the Solver add-in:
Go to the "Data" tab and click on "Solver" in the "Analysis" group.
In the Solver Parameters dialog box, set the following:
Set Objective: Cell J2
To: Max
By Changing Variable Cells: Range G2:G5
Subject to the Constraints: Range C2:F4
Click on the "Add" button to add each constraint.
Click on the "Solve" button to solve the LP problem.
Note: Before running the Solver, make sure you have the Solver add-in enabled. You can enable it by going to "File" -> "Options" -> "Add-Ins" -> "Excel Add-Ins" -> "Solver Add-in" -> "OK".
By solving the LP formulation using Solver in Excel, you will obtain the optimal values for the decision variables x1, x2, x3, x4 that maximize the objective function Z.
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Ralf and Susie share $57 in the ratio 2:1.
(a) Calculate the amount Ralf receives.
Answer:
.Total ratio 2+1 = 3Ralf 2/3 × 57Divide 57 by 3( 2 × 19)= 38....Ralf recieves $ 38Answer:
Raff = 38
Suzie = 19
Step-by-step explanation:
Raff gets 2x
Suzie gets x
2x + x = 57 dollars
3x = 57 dollars
x = 19 dollars
2x = 38 dollars
Problem 1 Denote by 9 (t) is the position at time t of an object moving on a line. The function q need not be a position, q may be any differentiable function. The derivative, g, of a need not be a velocity, j is just the derivative of q. Assume that q is differentiable, so that its derivative, 9 = d', is the velocity, u: v (t) = (t) = ' (t) (1) Position and velocity are given, or measured, at three times, to, tı, and t2, with to 01 = v(tı) > 03 = v(t2) 20 (3) 059(to) = % <91 = q (ti) < 42 = 9 (t2) Assume also that the position increases as the velocity decreases on the interval of time [to, ta]. The problem is to establish a procedure to estimate a time t, between to and 1, when the position 4. = q (1.) is exactly halfway between qo and 4: 4. = 9(t.) = 40 +91 Assume that v is affine: for some constanta, v (t) = 10 + (t-to). (6) (1.1) Calculate a in terms of to, tı, to and v1. (5) (1.2) Find a formula for q (t) for every t in terms of t. to. 11, 90. 91.00, 01. (1.3) Then solve Equation (5) fort, in terms of to, +1.90:01. Vo, and 0. (1.4) Calculate the velocity when the position is halfway, v (t.)
1.1 ) velocity v1 is given as follows : 1/2 (4o + 42)
1.2) q(t) = qo + (t - to) (ti - to + 11 - 2to)/2 - (qo - q(to))
1.3) t = to + (1/2)(-49 - (ti - to)(ti - to + 11 - 2to) + 2(q(to) - qo))
1.4) v(t*) = t* - to + 7 - ti
(1.1)The constant a in terms of to, ti, to, and v1 is given as follows
.v(t) = 10 + (t - to)g(t)
= v(t) - v1g(t)
= 10 + (t - to) - v1
We know that
4. = 4(t.)
= 4o + 9 ıand 4. is exactly halfway between qo and
q4. 4. = q(t.)
= 4o + 1/2 (4 - 4o)
= 1/2 (4o + 42)
Therefore, we can equate these two expressions for
4.4o + 9ı
= 1/2 (4o + 42)8o - 4
= 9ı
Substituting v(t) = 10 + (t - to), we get
8o - 4 = v1 + (ti - to - 1)
v1 = 8o - 4 - (ti - to - 1)
Therefore, the value of the constant a in terms of to, ti, to, and v1 is given by
a = 8o - 4 - (ti - to - 1).
(1.2)We know that g(t) = v(t) - v1.
Since v(t) is given as v(t) = 10 + (t - to), we have
g(t) = v(t) - v1
= 10 + (t - to) - (8o - 4 - (ti - to - 1))
= t - ti + 11 - 2to
The position q(t) for every t is given by
q(t) = qo + ∫g(s) ds
where
qo = 4o + 91
= q(ti)
= q(to + ti - to)
= q(to) + ∫g(s) ds
From this equation, we get
∫g(s) ds = qo - q(to)
Therefore, q(t) = qo + (t - to) (ti - to + 11 - 2to)/2 - (qo - q(to))
(1.3)From the formula for q(t), we have
4o + 91 + (t - to) (ti - to + 11 - 2to)/2 - (qo - q(to))
= 1/2 (4o + 42)
Therefore, solving for t, we get
t = to + (1/2) ((4o + 42) - (4o + 91 + (ti - to)(ti - to + 11 - 2to)/2 + qo - q(to)))
= to + (1/2)(-49 - (ti - to)(ti - to + 11 - 2to) + 2(q(to) - qo))
(1.4)We have already found that
4. = 1/2 (4o + 42).
Substituting this in the formula for g(t) and evaluating at t = t*, we get
v(t*) = 10 + (t* - to) - v1
= 10 + (t* - to) - (8o - 4 - (ti - to - 1))
= t* - to + 7 - ti
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Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn?
Answer:
$56.25
Step-by-step explanation:
We have to multiply 12.50 x 4.5
$56.25 TRUST ME
