Answer: n = 6 or you can do n = -6
Step-by-step explanation:
solve for n and then the left hand side factors
into a product with for terms then multiply both sides by -2 then split into two equations after add 6 to both sides and subtract 6 from both sides.
Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
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2^3 + (-16) / 4^2 x 5 - (-3)
drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
find the sum of all the integers from 1 to 1000
Answer:
500500
Step-by-step explanation:
intergers are whole numbers which are not fractions
2. A(n) is NOT an example of an agreement. (1 point)
O lease
O month-to-month
O annual
O fine print
An Annual is not an example of an agreement.
Multiple choice
1. given the figure below what is the correct name for ←2. choose all that apply
b) A car priced at $3600 is reduced by 25%.
What is the reduced price?
3600:25 =144
reduced price is 144$
A conglomerate corporation develops, manufactures, and markets a wide range of products, including medical diagnostic imaging devices, jet engines, lighting products, and chemicals. In 2013, the stock price rose %, and in 2014, the stock price declined %. If one purchased $1,000 of some social media stock at the start of 2013, its value would be $ at the end of 2014.
Required:
Compute the geometric mean rate of return per year of the two-year period 2013-2014.
Complete question :
A conglomerate corporation develops, manufactures, and markets a wide range of products, including medical diagnostic imaging devices, jet engines, lighting products, and chemicals. In 2013, the stock price rose 34.83 %, and in 2014, the stock price declined 8.2%. If one purchased $1,000 of some social media stock at the start of 2013, its value would be $ at the end of 2014.
Answer: 0.2078330
Step-by-step explanation:
The geometric mean is calculated using :
[((1 + r1)(1+r2)(1+r3)...(1+rn))^(1/n) ]- 1
From the question:
2014 stock decline = 8.2% = rate 1(r1) = 0.082
2013 stock increase = 34.83% rate 2(r2) = 0.3483
Number of observations (n) = 2
Hence, geometric mean:
[((1 + r1)(1 + r2))^(1/n)] - 1
[((1 + 0.082) (1 + 0.3483))^(1/2)] - 1
Sqrt[(1.082)(1.3483)] - 1
Sqrt(1.4588606) - 1
= 1.2078330 - 1
= 0.2078330
Complete the following question:
Medical diagnostic imaging devices, jet engines, lighting products, and chemicals are just some of the products that a conglomerate corporation develops, manufactures, and markets. In 2013, the stock price increased by 34.83 percent, but it fell by 8.2 percent in 2014. If you bought $1,000 worth of social media stock in the beginning of 2013, it would be worth $ by the end of 2014.
0.02078330 is the answer.
Step-by-step instructions:
The geometric mean is found by multiplying the following numbers together:
[((1 + r1)(1+r2)(1+r3)...(1+rn))(1/n) ] (((1 + r1)(1+r2)(1+r3)...(1+rn) ] ((1 + r1)(1+r2)(1
+ 1
As a result of the question:
Rate 1(r1) = 0.082 for 2014 stock decline = 8.2 percent
Increase in stock in 2013 = 34.83 percent rate 2(r2) = 0.3483
The number of observations (n) is equal to two.
As a result, the geometric mean is calculated as follows:
[((1 + r1)(1 + r2))(1/n)] [(1 + r1)(1 + r2)] [(1 + r1)(1 + r2)] [ + 1
[((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [ + 1
Sqrt[(1.082)(1.3483)] is the square root of the number Sqrt[(1.082)(1.3483)]. + 1
sqrt(1.4588606) - 1 sqrt(1.4588606) sqrt(1.4588606) sqrt
1.2078330 - 1 = 1.2078330 + 1 = 1.2078330 + 1 = 1.
equals 0.2078330
I need help on 2 and 5
Answer:
2) d= -3
5) f= -44
Step-by-step explanation:
You're welcome :)
Translate the sentence into an equation.
Two times the sum of a number and 9 equals 3.
Use the variable b for the unknown number.
Answer:
The equation would be:
2(b + 9) = 3
help with horizontal asymptotes
Answer:
y = 3. last option is correct answer for 2nd question.
Step-by-step explanation:
f(x) just means y.
horizontal asymptote is y = 'something.'
the graph crosses y = 4, so y = 4 cannot be asymptote.
y = 3 is since the graph never quite touches it.
as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.
so the last option is the correct answer.
How to solve 52+ 58+ q=180 for q.
Answer:
70
Step-by-step explanation:
180 - 52 - 58 = q
q = 70
hope this helps...
Kacie just bought a new house and needs to buy new sod for her backyard, if the dimensisons of her yard are 33.5 feet by 13.6 feet, what s the area if her yard
Complete the process of solving the equation.
Fill in all the missing terms and select all missing descriptions.
4(-3d+14) = -17d + 16
-12d +56 = -17d + 16
+56 = 16
5d = -40
d=
Add 17d to both sides
Divide both sides by 5
Answer:
d = -8
Step-by-step explanation:
4(-3d+14) = -17d + 16
-12d + 56 = -17d + 16
+17d +17d
5d + 56 = 16
-56 -56
5d = -40
÷5 ÷5
d= -8
I hope this helps!
WILL GIVE BRAINLIEST!
D)
Table D is the only table of the four that represents a graph in which, when x increases, y increases at a constant rate, like a linear graph should. This means that, when graphed, it would show a straight line, with slope 0.5
please save my life and answer 20 please!!
Answer:
It took too long
It took too long
It took too long for you to call back
And normally I would just forget that
Except for the fact it was my birthday
My stupid birthday
Answer: 19. 35
20. 80
Step-by-step explanation:
I can explain if you want
Teceives an ) After giving two fifths of her coins to her sister, Thao receives another 4 coins for her birthday. She now has 16 coins. How many coins did she have originally?
The result is 16, which matches the information given in the problem. Thus, our solution is correct. Thao originally had 30 coins.
Let's solve this problem step by step.
Let's assume the number of coins Thao originally had is x.
According to the problem, Thao gives two fifths of her coins to her sister. Two fifths of x can be represented as (2/5)x.
After giving away two fifths of her coins, Thao receives 4 coins for her birthday. So, the number of coins she has now is (2/5)x + 4.
The problem states that she now has 16 coins. Therefore, we can set up the following equation:
(2/5)x + 4 = 16
To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 4 from both sides:
(2/5)x = 16 - 4
(2/5)x = 12
To get rid of the fraction, we can multiply both sides of the equation by 5:
5 * (2/5)x = 5 * 12
2x = 60
Next, divide both sides of the equation by 2 to solve for x:
(2x)/2 = 60/2
x = 30
Therefore, Thao originally had 30 coins.
To verify our answer, we can substitute x = 30 back into the equation (2/5)x + 4 and see if it equals 16:
(2/5) * 30 + 4 = 12 + 4 = 16
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At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 5 PM
Answer:
The distance between the ships changing at 5 PM is 21.355 knots
Step-by-step explanation:
let x = distance traveled by ship A
y = distance traveled by ship B
Let z be the distance between Ship A and Ship B
Ship A is sailing west at 16 knots and ship B is sailing north at 15 knots.
Refer the attached figure
x=50+16t
y = 15t
At 5 Pm
x=50+16(5)=130
y = 15(5)=75
We will use Pythagoras theorem
\(z^2=x^2+y^2\)
At 7 pm \(z = \sqrt{(130)^2+(75)^2}=150.08\)
\(z^2=(50+16t)^2+(15t)^2\)
Differentiating both sides
\(2z \frac{dz}{dt}=2(50+16t)(16)+2(15t)(15)\\ \frac{dz}{dt}=\frac{(50+16t)(16)+(15t)(15)}{z}\\ \frac{dz}{dt}=\frac{(50+16(5))(16)+(15(5))(15)}{150.08}\\ \frac{dz}{dt}=21.355\)
Hence The distance between the ships changing at 5 PM is 21.355 knots
A small plant is 212 inches tall. How tall will it be in 3 weeks if it grows 34 inch each week? Which method will NOT give the correct number of inches?
The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.
How to calculate the value?Length of the small plant = 2 1/2 = 5/2 inches
Rate of growth = 3/4 inches
Increase in length in 3 weeks will be:
= 3 × 3/4 = 4
Total length = 5/2 + 9/4
= 19/4 inches.
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A cargo truck traveled 261 miles in 4 hours. About what speed was the truck averaging on this trip?
a.
65 mph
c.
55 mph
b.
1044 mph
Answer:
To find the average speed of the truck, we can divide the total distance travelled by the total time taken.
Average speed = Total distance / Total time
In this case, the truck travelled 261 miles in 4 hours.
Average speed = 261 miles / 4 hours
Average speed = 65.25 mph (rounded to two decimal places)
Therefore, the truck was averaging approximately 65 mph on this trip.
The correct option is (a) 65 mph.
I need help
Please hurry
Answer:
x=81
Step-by-step explanation:
all triangles = 180 degrees
180 - 18 = 162
162/2 = 81
81 is your answer
Answer:
81 Degrees
Step-by-step explanation:
These are the same number which means all you have to do is remember that triangles are 180 degrees total and subtract out the 18 and you get 162 which you then divide by 2.
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every quarter for the next 8 years. the interest charge is 9% per year compounded quarterly. what is the price of the house?
Answer:
The price of the house is $ 853,735.05.
Step-by-step explanation:
Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:
300,000 + (15,000 x 12 x 8) = X
300,000 + (180,000 x 8) = X
300,000 + 1,440,000 = X
1,740,000 = X
X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000
X x (1 + 0.0225) ^ 32 = 1,740,000
X x 1.0225 ^ 32 = 1,740,000
X x 2.0381030257737 = 1,740,000
X = 1,740,000 / 2.03810
X = 853,735.05
Therefore, the price of the house is $ 853,735.05.
Please help urgent thank you math helpers
You would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.
To find out how much of the 70% alcohol mixture you need to obtain a 55% solution, we can set up an equation based on the principle of mixing concentrations.
Let's assume you need "x" mL of the 70% alcohol mixture.
First, we'll determine the amount of alcohol in the 10% alcohol mixture:
Alcohol in 10% mixture = 10% of 75 mL
= (10/100) × 75 mL
= 7.5 mL
Next, we'll determine the total amount of alcohol in the desired 55% solution:
Alcohol in 55% solution = 55% of (75 mL + x mL)
We want the amount of alcohol in the 55% solution to be equal to the sum of the alcohol in the 10% mixture and the alcohol in the x mL of the 70% mixture.
Therefore, we can set up the equation:
Alcohol in 55% solution = Alcohol in 10% mixture + Alcohol in 70% mixture
55% of (75 mL + x mL) = 7.5 mL + 0.7x mL
Now, let's solve for "x" to find the amount of the 70% alcohol mixture needed:
0.55 × (75 mL + x mL) = 7.5 mL + 0.7x mL
41.25 mL + 0.55x mL = 7.5 mL + 0.7x mL
0.55x mL - 0.7x mL = 7.5 mL - 41.25 mL
-0.15x mL = -33.75 mL
x mL = (-33.75 mL) / (-0.15)
x mL ≈ 225 mL
Therefore, you would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.
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HELPPP!!!!!
A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value. (4 points)
Answer:
0.25 g/mL
Step-by-step explanation:
d=m/v
6 g / 24 mL
0.25 g/mL
both (g) and mL were only used once so the answer includes both of them
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 4 kg, the acceleration of the object is 9 m/s². When the same force acts upon another object, its acceleration is 6 m/s². What is the mass of this
object?
Step-by-step explanation:
a = k/m or ma = k
using 4 and 9 4* 9 = k = 36
then the equation becomes:
ma = 36
using a = 6
6 * m = 36 shows m = 6 kg
hello why am I not getting here anybody who can help me why
Answer: Do you need hel
Step-by-step explanation:
Given f(x)=x2+2x−8, find f(−2).
Question 2 options:
8
20
-8
-20
Answer:
-8 is the answers for the question
Step-by-step explanation:
please please give me brainlest
from the top of a tower 80m high, 2 boats are
seen in a direction due south. The angles of
depression of the boats from the top of the tower
are 30°and 45°respectively, find the distance
between the boat
Step-by-step explanation:
Height of tower - 80m
Distance between foot of tower and boat 1 = x
Distance between boat 1 and boat 2 =y
Tan 45 = 1 = 80/x
x = 80
Tan 30 = 1 / root 3 = 80 / 80 + y
y = 80 root 3 + 80
PLEASE HELP IM SO LOST
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'