Answer:
- 5, 3, 11, 19, 27, 35
Step-by-step explanation:
Using the recursive rule and a₁ = - 5
a₂ = a₁ + 8 = - 5 + 8 = 3
a₃ = a₂ + 8 = 3 + 8 = 11
a₄ = a₃ + 8 = 11 + 8 = 19
a₅ = a₄ + 8 = 19 + 8 = 27
a₆ = a₅ + 8 = 27 + 8 = 35
The first six terms are - 5, 3, 11, 19, 27, 35
2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.
Project Erie
Time 0 1 2 3 4 5
Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250
Answer:
IRR = -5.19%
MIRR = 3.33%
The company should reject the project
Step-by-step explanation:
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested
IRR can be calculated with a financial calculator
Cash flow in year 0 = -$12,000
Cash flow in year 1 = $2,360
Cash flow in year 2 = $4,390
Cash flow in year 3 = $1,520
Cash flow in year 4 = $980
Cash flow in year 5 = $1,250
IRR = 5.19%
The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.
MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n) - 1
n = number of years
present value of the firm's cash outflow = $12,000
Future value of a firm's cash inflow
Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51
Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63
Future value of year 3's cash flow =$1,520 x (1.12^2) = $1906.69
Future value of year 4's cash flow = $980 X 1.12 = 1097.60
Future value of year 5's cash flow = 1250
Add the future values together = $14,135.43
($14,135.43 / $12,000)^0.2 - 1 = 3.33%
The project should be rejected because the IRR is negative.
To find the IRR using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.
A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).
Which statement is supported by the graphs?
Answer:
it's AAAAAAAAAAAAAAAAAAA
Answer:
It's A <3
I took the test. ^^
No Docs/No Files only real answer
5-star rated and I will give a brainliest
Answer:
question a is technically 7.5 and question b is 7.5
Step-by-step explanation:
half half
In a right angle triangle , the two shorter sides are 6cm and 8cm in length . What is the length of the longest side
Answer:
10 cm
Step-by-step explanation:
In a right triangle, there are three sides, A, B, and C.
A and B are the short sides, while C is the long side.
So we know that A = 6 cm, and B = 8 cm.
We can then use the Pythagorean theorem which states that
[tex]C=\sqrt{(A^2)+(B^2)[/tex]
Once we plug in the numbers we get
[tex]C=\sqrt{6^2+8^2}[/tex]
[tex]C=\sqrt{36+64}[/tex]
[tex]C=\sqrt{100}[/tex]
C=10 cm
What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)
Answer:[tex]3^1^1\\[/tex]
Step-by-step explanation:
[tex]\frac{81^4}{3^5}[/tex]
[tex]\frac{3^1^6}{3^5}[/tex]
The base is same power can be add or subtract
[tex]3^1^6^-^5[/tex]
[tex]3^1^1[/tex]
For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)
Answer:
2
Step-by-step explanation:
2x^2 + 8x + 8
factor the 2 out : 2(x^2 + 4x + 4)
2(x + 2)^2
x = -2
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60
Whats the Inequality
Answer:
7.50 + 14x < 60
x < 3.75
Step-by-step explanation:
Let
x = number of pizzas ordered
Delivery fee = $7.50
Cost per pizza = $14
Total cost should be less than $60
The inequality
7.50 + 14x < 60
14x < 60 - 7.50
14x < 52.5
x < 52.5/14
x < 3.75
14. Which is the first step in solving: X - 1/3 = 1/3 ?*
Answer:
Step-by-step explanation:
In this case "solving" involves isolating the variable, x, on the left side of this equation.
Starting with x - 1/3 = 1/3, we add 1/3 to both sides. This results in:
x = 1/3 + 1/3, or x = 2/3.
whats 3x+34+23y=
frezz
Answer:
3x+34+23y, You can not add in this equation as there are no like numbers.
Step-by-step explanation:
Answer:
isnt it 60xy
Step-by-step explanation:
I'll give brainliest to the best answer if you help me with the image down below!
Includes: an explanation please
Answer:
3 Pounds
Step-by-step explanation:
2.82 rounded to the nearest whole number is 3.
If we wanted to round 2.82 to 2, it would have to be 2.49 or less
Find x . Please and thank you
Answer:
x = 6
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]
What is the area? Bit confused on this one.
Answer:
A = 9x² + 12x
Step-by-step explanation:
The area (A) of the rectangle is calculated as
A = height × width
= 3(3x² + 4x) ← distribute parenthesis by 3
= 9x² + 12x
Answer:
For the blue one:
A1=length*breadth
=3*3x^2
=9x^2
For pink:
A2=length*breadth
=3*4x
=12x
So the total area is:
A=A1+A2
=9x^2+12x
Please answer i will give brainliest
Answer:
sorry bro......sis
Step-by-step explanation:
don,t know its answer
Last question, so please help me out ASAP!
Answer:
5/18
Step-by-step explanation:
conditional probability formula:
A|B (a given b) = (A∩B)/(B)
so
Moderate|college (moderate given college)= (moderate∩college)/college
moderate∩college= 15
college= 11+15+28= 54
15/54= 5/18
How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.
Answer: [tex]\dfrac{15}{64}[/tex]
Step-by-step explanation:
Given
Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]
Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]
Area of outside region is [tex]A_1=\pi (8^2)[/tex]
Area of inside region [tex]A_2=\pi (7)^2[/tex]
Area of shaded region [tex]A_1-A_2[/tex]
Probability that point lies inside the shaded region is
[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]
NEED HELP FAST ILL MAKE BRAINLIEST
Jenna's English teacher tells her that there are 5 vowels in the alphabet. Based on this information, Jenna states that given any word in the English language, the probability of randomly choosing a vowel from among the word's letters is 5/26.
Explain the flaw in Jenna's reasoning.
Provide a word where the probability of randomly choosing a vowel from the word's letters is 1/2.
Answer:
Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.
What is the range of the relation (-2, 4), (3,-2), (1, 0), (5,5)?
A. {-2, 3, 1,5}
B. {4,-2, 0,5}
C. {-2, 4, 5, -2}
D. {-2,-1, 0, 5}
Is it D?
Answer:
A.{-2,3,1,5 } or D. {-2, -1, 0,5}
A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery
Answer:
The power is 1.68 W.
Step-by-step explanation:
Voltage, V = 3 V
charge, q = 0.56 C
time, t = 1 s
Let the power is P.
P = V q /t
P = 3 x 0.56 / 1 = 1.68 W
A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?
Answer:
See the explanation below
Step-by-step explanation:
Number of months =4
Number of copies =450000
Number of pages =60
Number of copies in 4 months =450000*4
=1800000
Number of pages is
=1800000 *60
=108,000,000
find AD and AB
hhjhh
Answer:
y = 13
x = 20.6155281281
Step-by-step explanation:
5^2 + 12^2 = y^2
25 + 144 = y^2
169 = y^2
[tex]\sqrt{169}[/tex] = y
y = 13
y^2 + 16^2 = x^2
13^2 + 16^2 = x^2
425 = x^2
20.6155281281 = x
Hope this helps!
simple Answer:
y = √(119)
x = √(375)
Step-by-step explanation:
harder answer:
12^2 - 5^2 = y^2
y = √(119)
16^2+ √(119) = 375
x = √(375)
solve the equation (log base 3^x)^2_6log base 3^x+9=0
Step-by-step explanation:
the answer is in the above image
Last year, samantha spent $2,478 for natural gas. This year, she decided to use balance billing. What will her monthly payment be this year?
Answer:
She will need to pay $206.50 per month.
Step-by-step explanation:
Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:
$2,478
---------------- = $206.50/month
12 months
She will need to pay $206.50 per month.
Michelle invested $10,000 for one year, part at 8% interest and the rest at 12% annual interest. Her total interest for the year was $944. How much money did she invest at 12% interest?
Step by step please.
Answer:
Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.
Step-by-step explanation:
Given that Michelle invested $ 10,000 for one year, part at 8% interest and the rest at 12% annual interest, and her total interest for the year was $ 944, to determine how much money did she invest at 12% interest, the following calculation must be done:
10,000 x 0.08 + 0 x 0.12 = 800
8,000 x 0.08 + 2,000 x 0.12 = 880
4,500 x 0.08 + 5,500 x 0.12 = 1,020
6,000 x 0.08 + 4,000 x 0.12 = 960
6,500 x 0.08 + 3,500 x 0.12 = 940
6,400 x 0.08 + 3,600 x 0.12 = 944
Therefore, Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.
The rectangle has length 4.5cm and width 2.8cm. Work out the area
Answer:
11/1//11/1
Step-by-step explanation:
Pls answer……………………..
Answer:
Step-by-step explanation:
J and k are parallel if
angle 1 = angle 4 (vertically opposite angles)
angle 2 + angle 5 = 180 degree (being co interior angles)
angle 4 = angle 5 (being alternate interior angles)
angle 1 = angle 5 (being corresponding angles)
Answer:
2 and 5 are co - interior angles
1 and 3 are corresponding angles
1 and 4 are alternate
6 and 8 are corresponding angles
Step-by-step explanation:
Plz help ASAP I got 10 mins !!!!!
Answer:
x=5
Step-by-step explanation:
Since the triangles are similar we can use ratios to solve
4.5 7.5
---- = ------
3 x
Using cross products
4.5x = 3 * 7.5
4.5x = 22.5
Divide each side by 4.5
x = 22.5/4.5
x=5
I need help fast please!!!!
Answer:
f translates right 2 units to get g. sorry about my English
Type the correct answer in each box. Use numerals instead of words, Simplify the following polynomial expression. (5x2 + 13x – 4) – (17x2 + 7x – 19) + (5x – 7)(3+ + 1)
____ x2 – ____ x + ____
Answer:
La primera es la respuesta la segunda parte es la
Step-by-step explanation:
La que te muestra como va el procedimiento
Answer:
-57x^2-10x+8
Step-by-step explanation:
i just did the test on edmentum
At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which
expression represents how much she will receive in commission from the sale?
the bag of skittles has 3 parts red skittles , 5 parts yellow skittles and 7 parts orange skittle. Represent this ratio three ways;visually, using ratio notation and using fraction notation
Step-by-step explanation:
Given that,
The bag of skittles has 3 parts red skittles, 5 parts yellow skittles and 7 parts orange skittle.
Ratio notation is= 3:5:7
Frction notation,
Red skittle[tex]=\dfrac{3}{3+5+7}=\dfrac{1}{5}[/tex]
Yellow skittle [tex]=\dfrac{5}{3+5+7}=\dfrac{1}{3}[/tex]
Orange skittle [tex]=\frac{7}{3+5+7}=\dfrac{7}{15}[/tex]
Hence, this is the required solution.
