The value of the funds are A) $5,674.27 b) $3219.73 c) $1036.37
What Net Present Value?Rerecall that Net Present Value (NPV) is the difference between the present value of cash inflows and outflows over a period of time. It is used in capital budgeting and investment planning to analyze the profitability of a projected investment or project.
Cost of investment = $10,000
averages a 12% annual return.
a) After 5 years,
The value of the fund PV = FV/(1 + r)ⁿ
PV = 10,000/1+0.12)⁵
PV = 10000/(1.12)⁵
PV = 10000/1.762341683
PV = 5,674.27
The net present value of the investment after 5 years is $5674.27
b) After 10 years,
The value of the fund is PV = 10,000/1+0.12)¹⁰
PV = 10000/(1.12)¹⁰
PV = 10000/3.105848208
PV = 3219.73
The net present value of the investment after 5 years is $3219.73
c) After 20 years
The value of the fund is PV = 10,000/1+0.12)²⁰
PV = 10000/(1.12)²⁰
PV = 10000/9.646293093
PV = 1036.37
The net present value of the investment after 5 years is $1036.37
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a whole number that is a factor of two or more numbers is called a
Answer: Common factor
common factor. a whole number that is a factor of two or more nonzero whole numbers
Step-by-step explanation:
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
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a whole number that is a factor of two or more numbers is called a common factor.One customer purchases 8 bags of cat food and 2 bags of dog food. The total weight of the purchase is 44 pounds. Another customer purchases 5 bags of cat food and 2 bags of dog food. The total weight of the purchase is 35 pounds.
A. You write the following system of linear equations to represent this
situation. Is your answer correct?
8x + 2y = 44
5x + 2y = 35
B. Your answer for the next step is 13 79, x = which is incorrect. Explain
the error.
Answer:
answer is x=3 and y=10
Step-by-step explanation:
Forgot to isolate y and x and simplify
12 pumpkins cost 24.60 how much will it cost for 8 pumpkins also
I can run 5 laps in 1 1/4 hours how many laps could I run in a day
Answer:
the second one is 20 i think
Step-by-step explanation:
2. Write a ratio expressing the slope of the line through each pair of points.
(-6, 1) and (-2, 0)
Answer:
Step-by-step explanation:
m = [tex]\frac{-1}{4}[/tex]
I need help with this , 7x-3y+4x-5y+8x-6y
Answer:
19x−14y
Steps:
7x-3y+4x-5y+8x-6y
=19x-3y-5y-6y
= 19x−14y
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Answer:
19x-14y
Step-by-step explanation:
rearrange
7x+4x+8x-3y-5y-6y
solve the coefficient and add the variables
Factor the expression completely. 12X+18
Answer:
6(2x+3)
Step-by-step explanation:
There's really no way to explain this. Take the number that all of the numbers in the equation can be divisible by and then single it out and then yeah.
Hope this helped! :)
Is rolling a 5 on a traditional number cube
1. Impossible
2. Unlikely
3. Likely
4. Certain
Answer:
3. Likely
Step-by-step explanation:
School: Your future depends on me
Me: Nahhhhh, I'll spend my time on Brianly making s.tupid questions
Answer:
lol same facts though
Step-by-step explanation:
Answer:
Your future doesn't really depend on school to be honest, but school is one of the options to a great future. Even college and etc dropouts become successful.
Find the value of x and y.
Answer:
Step-by-step explanation:
a business woman bought a personal computer for $108000.calculate her selling price on the personal computer if she wants to make profit of 25%
Answer:
$135,000
Step-by-step explanation:
108000*1.25
what is the volume of the cylinder?
5 yd
4 yd
cubic yards.
Volume
Answer:
volume=1yd x 1yd = q cubic yard
Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 94 adults, the following data are collected:
Truck Car Total
Female 9 36
Male 18 31
Total 94
What is the probability (rounded to the nearest whole percent) that an adult will buy a car, given that he is a male? Are the events being male and buying a car independent? (1 point)
63%; they are dependent
46%; they are dependent
63%; they are independent
33%; they are independent
I will come back to this question when it has been further clarified.
(Honestly I just really need to delete this answer since I misread the question but it doesn't give me an option to delete it).
A swimming pool measures 25.8 meters by 11.9 meters. It is filled with water to a depth of 1.1 meters. The pool is emptied by a tube that emits 29.8 liters per second. Estimate the approximate time required to empty the pool
Answer:
11 Seconds
Step-by-step explanation:
Swimming pool volume:
25.8 × 11.9 × 1.1 = 337.722
Time to empty pool:
337.722 ÷ 29.8 = 11.3329530201 ≈ 11 seconds
A 30, Y-connected alternator is rated at 1,600KVA, 13.5KV. The armature effective AC resistance per phase is 1.50. The percentage regulation for a load of 1,280kW at unity power factor is 3.5%. Determine: (a) synchronous reactance of the alternator (b) %VR at full-load 0.8pf leading (c) What is the effect on %VR value if taken at half-load lagging pf? Justify and explain briefly your answer on one(1) sentence.
(a) The synchronous reactance of the alternator is 0.001953125 Ω.
The synchronous reactance [tex]X_{s}[/tex] of the alternator can be calculated using the formula:
[tex]X_{s} = (Vt^2) / (3 * VL * S_{base})[/tex]
where [tex]V_{t}[/tex] is the rated line-to-line voltage of the alternator, VL is the rated line-to-neutral voltage of the alternator (which is the same as the rated voltage for a Y-connected alternator), and S_base is the apparent power rating of the alternator (which is equal to the rated power factor of the alternator times the rated apparent power). Substituting the given values, we get:
[tex]X_{s} = (13.5^2) / (3 * 13.5 * 1600) = 0.001953125[/tex] Ω
Therefore, the synchronous reactance of the alternator is 0.001953125 Ω.
(b) The percentage voltage regulation at full-load 0.8 power factor leading is 23.15%.
The percentage voltage regulation (%VR) at full-load 0.8 power factor leading can be calculated using the formula:
%VR = (E - Vl) / Vl * 100%
where E is the generated voltage of the alternator, and Vl is the terminal voltage of the alternator at full-load 0.8 power factor leading. We can assume that the armature resistance and inductance are negligible compared to Xs for this calculation. Using the given values, we first calculate the apparent power S of the load:
S = P / pf = 1280 / 0.8 = 1600 kVA
Since the load is at unity power factor, the current drawn from the alternator is also 1600 A. Therefore, the voltage drop across Xs is:
Vx = Xs * I = 0.001953125 * 1600 = 3.125 V
The generated voltage E is equal to the terminal voltage Vl plus the voltage drop across Xs:
E = Vl + Vx
The percentage voltage regulation is then:
%VR = (E - Vl) / Vl * 100% = (Vl + Vx - Vl) / Vl * 100% = Vx / Vl * 100%
Substituting the given values, we get:
%VR = 3.125 / 13.5 * 100% = 23.15%
Therefore, the percentage voltage regulation at full-load 0.8 power factor leading is 23.15%.
(c) If the %VR value is taken at half-load lagging power factor, it will be higher than the %VR value at full-load 0.8 power factor leading. This is because the load impedance at half-load lagging power factor has a lower magnitude than the load impedance at full-load 0.8 power factor leading, which means that the voltage drop across [tex]X_{s}[/tex] will be a larger fraction of the terminal voltage, resulting in a larger %VR value.
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Which expression is equivalent to (-3)x+(3)(-12)?
Answer:
Step-by-step explanation:
(-3)x + (3)(-12)
= -3x -36
or -3(x + 12)
Answer:
Step-by-step explanation:
(-3)x + 3(-12) = (-3) (x + 12)
(-3) is both the two terms. So we can take (-3) as common
490 students and 10 teacher will ride the bus to go to the zoo if each bus can seat so passengers how many buses will be needed many zoo trip
Answer:
If you add teacher plus students which is 490+10=500
you get 500 people in total after that you divide 500 by 50 and you get 10 so you will need 10 busses in total hope this helped!
Step-by-step explanation:
Write the equation of the circle ?
Center (-1,0)
Radius:4
Answer:
(x+1)^2 + y ^2 = 16
Step-by-step explanation:
center: (-1,0)
radius=4
(x-h)^2 + (y-k)^2 = r^2
(h,k) = center
plug in the center
(x+1)^2 + (y+0) ^2 = r^2
r^2 = (4)^2
r^2=16
(x+1)^2 + y^2 = 16
a rational expression is undefined whenever its denominator is zero.T/F
True. A rational expression is undefined whenever its denominator is zero. This is because division by zero is not defined.
In mathematics, a rational expression is defined as the quotient of two polynomials, where the denominator represents the divisor. When the denominator of a rational expression becomes zero, it results in division by zero, which is undefined. Division by zero is not a valid operation in mathematics, and it leads to an undefined value. Therefore, to determine if a rational expression is undefined, we need to check if its denominator evaluates to zero. If the denominator is zero, the rational expression is undefined. Also there is division by zero, or related concepts in mathematics.
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HELPPPPPPPPP
What is the value of x in the figure at the right?
Answer:
Answers is D
Step-by-step explanation:
2x = 60° because they are vertically opposite angles.
x=60÷2=30°
Jericho has m paintings and n drawings. He sold his paintings for $x each and drawings for $y each. His earnings for one day are
represented by the expression given below.
x(m) + y(m- 12)
Which statement best describes the term (m - 12)?
A. It is the number of paintings sold, which was 12 more than the number of drawings sold.
B. It is the number of drawings sold, which was 12 more than the number of paintings sold.
C. It is the number of paintings sold, which was 12 less than the number of drawings sold.
D. It is the number of drawings sold, which was 12 less than the number of paintings sold.
Answer:
b
Step-by-step explanation:
Tell whether the angles are complementary or supplementary. Then find the value of X.
Answer:
Complementary
x= 60
Step-by-step explanation:
Answer:
The angles are complementary.
X = 60
Step-by-step explanation:
please help its for a grade!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
2x+4y=56; 5x+2y=64adult: $10; child: $7budget is not high enoughStep-by-step explanation:
See the attached.
Given a set of linear equalities in several variables, we know that we can find a satisfying assignment in polynomial time. For example, given the equalities 211X1 + 212X2+...+ almxm = 221X1 + a22x2+...+ a2mdm = C2 an1X1 + An2x2+...+ AnmIm = Cn we know that we can solve this (i.e. find a set of xis so that all the equalities are satisfied) in polynomial time in n and m. ?. Suppose we now have a set of linear inequalities 211X1 + 212X2+...+ alm&m < 221X1 + A2222+...+ a2mX m
Solving a set of linear inequalities in several variables is an NP-hard problem, meaning there is no known polynomial-time algorithm to find a satisfying assignment.
Unlike linear equalities, solving a set of linear inequalities in several variables is an NP-hard problem. This means that there is no known polynomial-time algorithm to find a satisfying assignment for all instances of such problems. The complexity arises from the fact that there are infinitely many potential solutions, making it challenging to determine whether a feasible assignment exists or not. To find a satisfying assignment for linear inequalities, algorithms typically use heuristics or approximation techniques that do not guarantee optimality or completeness. Various methods, such as linear programming or constraint satisfaction algorithms, can be employed, but they may have exponential time complexity in the worst case. Therefore, solving a set of linear inequalities generally requires more computational resources and time compared to solving linear equalities.
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which properties are being used to solve the question
Answer:
Both commutative and associative
You call 5 friends, tomorrow they call 5 each. Write an equation.
Answer:
5+5=10
Step-by-step explanation:
5+5=10
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A glass is formed by rotating the shaded region shown above about the y axis. The curve that forms the inside of the glass is the graph of y = x^4/2. Length units in the figure are cm.
(a) What is the volume of the glass? (That is, what is the volume of the solid formed when the shaded region is rotated about the y axis?)
To find the volume of the glass formed by rotating the shaded region about the y-axis, we can use the method of cylindrical shells.
The volume of a solid of revolution using cylindrical shells is given by the integral:
V = ∫[a,b] 2πx * f(x) * dx
In this case, the function representing the curve that forms the inside of the glass is y = x^4/2. We need to find the limits of integration, a and b, which correspond to the x-values where the shaded region begins and ends.
From the graph, it appears that the shaded region begins at x = -1 and ends at x = 1. So, the limits of integration are -1 to 1.
Now, we can calculate the volume of the glass using the integral formula:
V = ∫[-1,1] 2πx * [tex](x^4/2) * dx[/tex]
V = π * ∫[-1,1] [tex]x^5 dx[/tex]
Using the power rule of integration, we integrate x^5:
V = π * [x^6/6] from -1 to 1
V = π * [[tex](1^6/6) - (-1^6/6)][/tex]
V = π * [(1/6) - (1/6)]
V = π * 0
Therefore, the volume of the glass is 0 cubic units.
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⚠️⚠️⚠️⚠️⚠️help⚠️⚠️⚠️⚠️⚠️
Answer:
u have it right it increases by 1:75 per time
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
it is A because it is increasing by 1.75 each week
last one
Mosquitoes are just dirty used needles that can fly
no The sum of two angles in a triangle is 150 degrees. What is the supplement of the third angle of the 2 of 4 triangle? (a) 150 (b) 10 (c) 30 (d) 85
The measure of the third angle, C, is 30 degrees. So, the correct answer is (c) 30.
Let's assume the three angles of the triangle are A, B, and C, where A, B, and C are measured in degrees.
We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can write the equation:
A + B + C = 180
The obtain of two angles is 150 degrees, we can set up another equation:
A + B = 150
To obtain the measure of the third angle, which we'll call C, we can subtract the sum of the other two angles from 180:
C = 180 - (A + B)
Substituting the value of the sum of two angles (150 degrees), we have:
C = 180 - 150
C = 30
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help please :) A, B , C , or D?
Answer:
the answer is 120 degree
Answer:
(A) 30 degree
Step-by-step explanation:
Just subtract 180 with 120 = 60
then add 60 and 90 = 150
after that 180 - 50 = 30
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