The following refers to a purchase of a machine by a company on January 1, 2016
Salvage Value: $7,500
Life: 6 years
Desired Rate of Return 4%
Interest Compounded: semi-annually
The maximum amount the company can pay is $32,348
What is the semi-annual net cash flow the company must achieve in order for the purchase to be made?
The semi-annual net cash flow the company must achieve in order for the purchase to be made is $2500.
How to calculate the cash flow?Number of period = 6 × 2 = 12
Rate = 4% / 2 = 2%
Annual cash flow × PVIFA × (2% × 12) + $7500 × PVIF(2%,12) - $32348 = 0
Annual cash flow × 10.5753 = $32348 - $7500 × 0.7885
Annual cash flow × 10.5753 = $32348 - $5914
Annual cash flow × 10.5753 = $26434
Annual cash flow = 26434/10.5753
Annual cash flow = $2500
Learn more about cash flow on:
https://brainly.com/question/735261
12 ounces for
$
8.09
dollars per ounce
ounces per dollar.
3 5⁄7 + 1 9⁄14 = What is the answer if the answer is wrong I will come and haunt you
Answer:
[tex]5 \frac{5}{14} [/tex]
Step-by-step explanation:
[tex]3 \frac{5}{7} + 1 \frac{9}{14} [/tex]
Turn them into improper fractions
[tex] \frac{26}{7} + \frac{23}{14} [/tex]
[tex] \frac{2}{2} \times \frac{26}{7} + \frac{23}{14} [/tex]
[tex] \frac{52 + 23}{14} [/tex]
[tex] \frac{75}{14} [/tex]
Turn it into a mixed fraction
[tex]5 \frac{5}{14} [/tex]
Due today pls helpp I will give brainlist
Answers:
jamal has 30 stickers in total.
chris has 7 stamps in each group.
Step-by-step explanation:
1. use multiplication, 6*5=30
2. use division, 56/8=7
hope this helped! ♡
Answer:
jamal has 30 stickers in total.
chris has 7 stamps in each group.
Step-by-step explanation:
PQ and QR are 2 sides of a regular 10-sided polygon
Can someone please help I've been struggling on this for quite a while.
Answer:
Step-by-step explanation:
Measure of inner angle of the n-sided polygon is
[tex]\frac{180(n-2)}{n}[/tex]
~~~~~~~~~~~~~~
m∠PQR = [tex]\frac{180(10-2)}{10}[/tex] = 144°
PQ = QR ⇒ m∠QPR = m∠QRP
m∠PRQ = ( 180° - 144° ) ÷ 2 = 18 °
Answer:
∠PRQ = 18°
Step-by-step explanation:
Sum of interior angles of a polygon = (n - 2) × 180°
(where n is the number of sides)
Interior angle of a regular polygon = sum of interior angles ÷ n
(where n is the number of sides)
Given:
n = 10⇒ Sum of interior angles of a polygon = (10 - 2) × 180° = 1440°
⇒ Interior angle of a regular polygon = 1440° ÷ 10 = 144°
Therefore, as PQ and QR are the sides of the polygon, ∠PQR = 144°
Sum of interior angles of a triangle = 180°
⇒ ∠PQR + ∠RPQ + ∠PRQ = 180°
⇒ 144° + ∠RPQ + ∠PRQ = 180°
⇒ ∠RPQ + ∠PRQ = 36°
As the polygon is regular, PQ = QR which means that ΔPQR is isosceles.
Therefore, ∠RPQ = ∠PRQ
⇒ ∠PRQ = 36° ÷ 2 = 18°
What is the probability of picking an orange marble and flipping tails?
Answer:
1/7 and 1/2
Step-by-step explanation:
The probability of orange marble is 1/7
Probability of tails is 1/2
If you need to add this, then it'll be 1/14
7 x 2 = 14
1 x 1 = 1
In a market research survey of 2518 motorists, 252 said that they made an obscene gesture in the previous month.
If one of the surveyed motorists is randomly selected, what is the probability that this motorist did not make an obscene gesture in the previous month?
Answer:
Probability is 89.99%
Step-by-step explanation:
divide 252 by 2518 and you get 10.01% but that represents the people who did make the gesture so instead you would minus 252 from 2518 and that would be 252 - 2518 = 2266 then you would divide 2266 by 2518 and you get 2266/2518 = 0.8999 which is equal to 89.99%
In the diagram below, what kind of line is BF relative to ABC?
Answer:
Step-by-step explanation:
BF is the angle bisector of ∠B.
MARK AS BRAINLIEST
Below is the table of values of a function. Write the output when the input is n.
input
1
2
8
n
output
5
6
12
?
Answer:
Step-by-step explanation:
the answer is correct so good job ok
Hamilton, NY has 73465 residents, and 12 members on their Board of Trustees. The three districts of Basel, Heights, and Dagonal have the following populations: Basel: 13,244 Heights: 30, 415 Dagonal: 29,806 Determine the standard quota (to two decimal places) for the Dagonal district. 6) Gotham City is to apportion 16 seats to districts with populations as follows: North: 785 South: 1,125 East: 1,950 West: 415 Find the standard divisor What are the standard, lower, and upper quotas for the four districts?
a) The determination of the standard quota for the Dagonal district is 40.57%.
b) 1. The standard divisor is 267.19 (4,275/16).
2. The standard, lower, and upper quotas for the four districts are as follow:
North South East West
Standard quota 18.36% 26.32% 45.61% 9.71%
Lower quota 18% 26% 45% 9%
Upper quota 18% 26% 46% 10%
What is the quota method of apportionment?The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.
When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.
The standard divisor is calculated as the total population divided by the total number of seats.
The standard divisor gives the average number of people represented by a Board or seat member.
Data and Calculations:Hamilton, NY Population:
Residents of Hamilton, NY = 73,465
Board Trustee Members = 12
Basel Heights Dagonal Total
Population 13,244 30, 415 29,806 73,465
Proportion 18.03% 41.40% 40.57% 100%
Allocation of Board
Seats 2 5 5 12
Gotham City Population:
Number of seats = 16 seats
North South East West Total
Population 785 1,125 1,950 415 4,275
Proportion 18.36% 26.32% 45.61% 9.71% 100%
Allocation of Board
Seats 3 4 7 2 16
Learn more about the quota system at brainly.com/question/12105335
Find the volume of a box that has a length of 8.9 cm, a
width of 4 cm, and a height of 10.6 cm.
Answer: 377.36cm^2
Step-by-step explanation:
1. find proper equation. to find the volume of any three dimensional cube or box, use: length * width * height
2. plug in given numbers into the equation: 8.9cm * 4cm * 10.6* which gives us our answer, 377.36cm^2
hoped this helped! ♡
The fixed costs of a pizza shop are $24,000 a month. The pizza shop charges $8 per pizza and the variable cost to make each pizza is $3. How many pizzas does the company need to sell per month to break even?
What would the break even point be if the fixed and variable costs remained the same, but you increased the price of each pizza to $9?
Answer:
24x8+3+9=$44,839 a month
Step-by-step explanation:
given that three points 15 raise to power 6 is equal to 3 raise to power 6 x b correct to four decimal places
Answer:
A. Directions: Encircle the letter of the correct answers
Step-by-step explanation:
1.the I in resign sounds like the I in.
A. hit B. High
i really need actual help on this asap
Tamara takes care of 28 chickens. Her little sister Brianna takes care of 7 chickens.How many times more chickens does Tamara take care of than Brianna?
A.3
B.4
C.21
D.35
Answer:
B. 4
Step-by-step explanation:
To undo multiplication (which is what is being asked of us) you must divide. 28 divided by 7 is 4
so
4 x 7 is 28
If Brianna is taking care of 7 chickens, Tamara is taking care of 4 times the number of chickens because she is taking care of 28
Find the equation of a line that contains the points (2,1) and (8,7). Write the equation in slope-intercept form.
Answer:
y = x - 1
Step-by-step explanation:
First find the slope. Subtract the y's and put that on top of a fraction. Then subtract x's and put that on the bottom. Simplify if possible.
7-1 is 6 goes on top.
8-2 is 6 goes below.
6/6 is 1 when simplified.
Slope is 1.
Slope-intercept form is y = mx + b.
m is slope, so fill that in.
y = (1)x + b
Now we need to find b.
Use either one of the given points; they will give you the same answer no matter which one you choose. Let's use (2,1) because smaller numbers.
y is 1 and x is 2.
y= (1)x + b
1 = (1)2 + b
1 = 2 + b
-1 = b
Now fill in both m and b. Leave x and y as letters (variables)
y = (1)x + -1
Final answer:
y = x - 1
Look at this square. Find the value of t.
Answer:
t = 2
Step-by-step explanation:
The perimiter is the lenth of the out side of the square. Sense we know its a square we know that the side lenth are all the same and sense we have 4 sides we would have to devide 8 by 4
8/4
which equals
t=2
Answer:
Step-by-step explanation:
Perimeter of square:
Perimeter = 4*side
[tex]\boxed{Side =\dfrac{Perimeter}{4}}[/tex]
[tex]t=\dfrac{8}{4}[/tex]
t = 2 yards
To determine whether or not they have a certain disease, 80 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the disease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.
Assume the probability that a person has the disease is 0.09 for all people, independently of each other.
Compute the expected number of tests necessary for each group.
Expected number for each group:
* PLEASE HELP ME SOLVE THIS PROBLEM I WILL GIVE BRAINIEST*
2. Change from dog/cat to tails/heads.
DDC = ________
CDC= _________
DCD = ________
CCD = _________
DDD = _________
CCC = _________
DCC = _________
CDD = _________
please help :))
Answer:
Tails Tails Heads
Heads Tails Heads
Tails Heads Tails
Heads Heads Tails
Tails Tails Tails
Heads Heads Heads
Tails Tails heads
Heads Tails Tails
------------------------------------------------——------------------------------------------------------
Thanks!
Always keep more than 2 smiles so that you can share it to someone who doesn't have one. You happy! Me happy! EVERYONE HAPPY!!!!
Have a great day!
:D
to get to a library you must travel 1/2 mi down one street, 3/5 mi down another street and 1 1/10 mi down a third street. How many miles did you travel total to get to the library?
Answer:
11/5mi or 2.2mi
Step-by-step explanation:
1/2 +3/5 +11/10 =11/5mi
Hey there!
0.5 + 0.6 + 1.1 = 2.2
Total miles = 2.2mi
which line is the graph of the equation y=-x+3
a
b
c
d
Answer:
Graph A is the answer
Step-by-step explanation:
The width of the origin is equal to 3 and the slope is 1
Help picture below problem 14
Answer:
100
Step-by-step explanation:
Since l and r Parrell lines that means the measure of 4 is 80 since there vertical angles. And then 1 and 4 needs to be supplementary which means the two angles combined equals 180. so 180-80=100
so 1s angle measure is 100
The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find the volume and show steps.
Answer:
[tex]A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\approx9.8524[/tex]
Step-by-step explanation:
Use the Washer Method [tex]A=\pi\displaystyle \int\limits_{a}^{b}{\bigr[R(x)^2-r(x)^2\bigr] \, dx[/tex] where [tex]R(x)[/tex] is the outer radius and [tex]r(x)[/tex] is the inner radius.
If we sketch out the graph, we see that [tex]y=1[/tex] intersects points [tex](1,1)[/tex] and [tex](3,1)[/tex], which will be our bounds of integration.
Here, our outer radius will be [tex]R(x)=(-1-1)=-2[/tex] and our inner radius will be [tex]r(x)=-1-\frac{1}{x}[/tex].
Thus, we can compute the integral and find the volume:
[tex]A=\pi\displaystyle\int\limits^{3}_{1} {(-2)^2-\biggr(-1-\frac{1}{x}\biggr)^2 } \, dx\\ \\A=\pi\displaystyle\int\limits^{3}_{1} {4-\biggr(1+\frac{2}{x}+\frac{1}{x^2} \biggr) } \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {4-1-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {3-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\biggr[3x-2\ln(|x|)+\frac{1}{x}\biggr]\Biggr|_{1}^{3}\\[/tex]
[tex]A=\pi\displaystyle\biggr[\biggr(3(3)-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3(1)-2\ln(|1|)+\frac{1}{1}\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(9-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3+1\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(\frac{28}{3}-2\ln(|3|)\biggr)-\biggr(4\biggr)\biggr]\\A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\\A\approx9.8524[/tex]
In conclusion, the volume of the solid of revolution will be about 9.8524 cubic units. See the attached graph for a helpful visual!
Find the midpoint of BF B(0,-14) F(4,6)
Answer:
Step-by-step explanation:
B(0, -14) ⇒ x₁ = 0 & y₁ = -14
F(4,6) ⇒ x₂ = 4 & y₂ = 6
[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{1}+y_{2}}{2} \right)[/tex]
[tex]=\left(\dfrac{0+4}{2},\dfrac{-14 + 6}{2}\right)\\\\\\= \left(\dfrac{4}{2}, \dfrac{-8}{2} \right)\\\\\\=\left(2, -4 \right)[/tex]
Complete the square to re-write the quadratic function in vertex form: y=x2-x+3
Answer:
Step-by-step explanation:
hello :
note : the vertex form is :
ax²+bx+c = a(x+(b)/(2a))²- delta/4a² and delta = b²- 4ac
in this exercice you have : a =1 b = -1 and c= 3
continu ..........
mark must at least 32 units of vitamin a 10 units of vitamin b and 55 units of vitamin c daily he can choose between pill #1 which contains 8 units of a 1 unit of b and 2 units of c or pill #2 which contains 2 units of a and 1 unit of b and 7 units of c pill #1 cost $0.15 and pill #2 cost $0.35 how many of each pill should he buy in order to minimize his cost?
He buys blank of pill #1 and blank of pill #2
the minimum cost of $
PLEASE HELP ASAP!!! IM STUCK ON THIS
Answer:
Pill 1 costs 25e, and pill 2 costs 75e. Complete parts a and below. An a. How many of each pill should he buy in order to minimize his cost? What is the minimum?
Step-by-step explanation:
Which expressions are equivalent to 4b
Choose all answers that apply:
b + 2(b + 2b)
3b + b
2(2b)
2(b + 2b) - 4b
ANSWER ASAPP PLSSSSSSSSSSSSSSSSSSSSSSSSSSs
[tex]3b+b=4b\\\\2(2b)=4b\\\\[/tex]
Find the equation of the line shown.
Answer:
y = - x + 9
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line
m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1
the line crosses the y- axis at (0, 9 ) ⇒ c = 9
y = - x + 9 ← equation of line
Help I’ll give info help text me on ig 7mile.jr
Help picture below problem 16
Answer:
40
Step-by-step explanation:
A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.
To find the measure of angle DPE, we have to add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).
Let's add Angle FPD and Angle EPG.
105 + 35 = 140
Now, let's subtract that from 180.
180 - 140 = 40
So, the measure of Angle DPE is 40. I hope this helps! Have a lovely day! (i basically just copy-and-pasted my answer to problem 17 because it was the same answer as this lol)