Answer:
5 3/5 cups of Ingredient B
Step-by-step explanation:
A recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B. You use 2 cups of ingredient A. How many cups of ingredient B do you need?
This is calculated as:
1/2 cups of Ingredient A = 1 2/5 cups of Ingredient B
This means:
1/2 cups of Ingredient A = 7/5 cups of Ingredient B
2 cups of Ingredient A = x
Cross Multiply
2 × 7/5 = 1/2 × x
x = 2 × 7/5/1/2
x = 2 × 7/5 ÷ 1/2
x = 2 × 7/5 × 2/1
x = 28/5
x = 5 3/5 cups of Ingredient B
Hence, For 2 cups of Ingredient A, 5 3/5 cups of Ingredient B is needed
Your firm is contemplating the purchase of a new $570,000 computer-based order entry system. The system will be depreciated straight-line to zero over its five-year life. It will be worth $58,000 at the end of that time. You will save $270,000 before taxes per year in order processing costs, and you will be able to reduce working capital by $73,000 (this is a one-time reduction). If the tax rate is 35 percent, what is the IRR for this project? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer:
IRR = 31.93%
Step-by-step explanation:
Depreciation = 570,000/5 = 114,000
Calculation of Operating cash flow
Operating income = 270000 - 114000 = 156,000
Tax = 156,000 * 35% = 54,600
Operating cash flow = Operating income + Depreciation - Tax = 156,000 + 114,000 - 54,600 = 215,400
Calculation of initial investment
CF0 = Initial investment - Working capital = 570,000 - 73,000 = 497,000
Calculation of the last year cash flow
CF5 = OCF + After tax salvage - Net working capital = 215,400 + 37,000 - 73,000 = 180,100
Calculation of IRR
IRR for the project = IRR(Cashflow from year0, 1, 2,3,4,5) "as attached below picture below"
IRR for the project = 31.93%
Evaluate D57C-76CA in base 16
c₁₆ - a₁₆ = 12 - 10 = 2₁₆
7 < c = 12 in base 16, so borrow 1 from the next place value:
17₁₆ - c₁₆ = 23 - 12 = 11 = b₁₆
In the next place, we replace 5 with 4, but 4 < 6, so borrow 1 from the next place value again:
14₁₆ - 6₁₆ = 20 - 6 = 14 = e₁₆
Replace d with c, so that
c₁₆ - 7₁₆ = 12 - 7 = 5₁₆
and this gives
d57c₁₆ - 76ca₁₆ = 5eb2₁₆
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Upper H 0: pequals0.6 versus Upper H 1: pgreater than0.6 nequals200; xequals135, alphaequals0.05 Is np 0 (1 minus p 0 )greater than or equals10.
Use technology to find the P-Value.
Answer:
Step-by-step explanation:
From the given information:
The null and the alternative hypothesis can be well written as:
[tex]H_o:P=0.6[/tex]
[tex]H_1:P>0.6[/tex]
Given that:
n = 200
x = 135
Alpha ∝ = 0.05 level of significance
Then;
⇒ [tex]n \times p\times (1-P)[/tex]
= 200 × 0.6 × (1 -0.6)
= 200 × 0.6 × 0.4
= 48 ≥ 10
The sample proportion [tex]\hat P = \dfrac{x}{n}[/tex]
[tex]= \dfrac{135}{200}[/tex]
= 0.675
The test statistics [tex]Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}[/tex]
[tex]Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}[/tex]
[tex]Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}[/tex]
Z = 2.165
The P-value = P(Z > 2.165)
= 1 - P(Z < 2.165)
From the z tables
= 1 - 0.9848
= 0.0152
Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).
Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6
What is the slope of the line that goes through the points (-1,4) and (14,-2)?
Answer:
hi! so we have 2 points right? you will need to use something called the slope formula y2-y1/x2-x1 we're subtracting our y values of both points and x values of both points while dividing them this gives us a slope of a line
now I want you to label before you do this in your head! it can get confusing to think about it so label label (x1-1,y1 4) (x2 14,y2 -2) now you have them labeled this parts easy! use the formula -2-4/14--1 okay now use your calculator you get -2/5 and now you have your m or slope!
memorize y2-y1/x2-x1 now! it will save you!
Step-by-step explanation:
Answer:
-2/5 is the answer
i think its six but you know points for u
Answer:
6 makes the most sense
Step-by-step explanation:
UwU
use synthetic division to solve (3x^4+6^3+2x^2+9x+10)/(x+2). what is the quotient
Answer:
The quotient is:
[tex]3x^2-6x^2+14x-19[/tex]Please check the attached diagram.
Step-by-step explanation:
As this question involves proper formatting.
So, I am attaching the method in the attached diagram.
Which of the sets of ordered pairs represents a function? (4 points) A = {(−5, 5), (−2, 2), (2, −2), (5, −5)} B = {(4, 2), (3, −2), (9, 4), (11, −3)}
Answer:
Both of them are functions...
Step-by-step explanation:
Both of them are functions because neither A nor B has a repeated X value in their sets.
Answer:
C
Step-by-step explanation:
They both have different input and output
6. Given the implicit curve x^2-ln(x/y)=1 , Write the linear approximation () of the tangent line at (1,1) A) L(x)=-x-2 B) L(x)= -x+2 C) L(x)= -x-1 D) L(x)= -x+1
Answer:
B) L(x) = -x + 2
Step-by-step explanation:
To find the tangent at (1,1), we differentiate x² - ln(x/y) = 1 with resect to x.
So, x² - ln(x/y) = 1
x² - (lnx - lny) = 1
x² - lnx + lny = 1
differentiating both sides with respect to x, we have
d{x² - lnx + lny]/dx = d1/dx
dx²/dx - dlnx/dx + dlny]/dx = d1/dx
2x - 1/x + 1/y(dy/dx) = 0
1/y(dy/dx) = 1/x - 2x
dy/dx = y(1/x - 2x)
dy/dx evaluated at (1,1) is
dy/dx = y(1/x - 2x)
= (1)(1/1 - 2(1))
= 1 - 2
= -1
This is the gradient of the tangent line.
To find the equation of the tangent line, we use (y - y')/(x - x') = m where y' = 1, x' = 1 and m = gradient of line = dy/dx = - 1
(y - y')/(x - x') = m
(y - y')/(x - x') = dy/dx
(y - 1)/(x - 1) = -1
cross-multiplying,
y - 1 = -1(x - 1)
expanding the bracket, we have
y - 1 = -x + 1
adding + 1 to both sides, we have
y -1 + 1 = -x + 1 + 1
y = -x + 2
So, L(x) = -x + 2
Which of the following capital letters is a reflection image of itself across a horizontal line?
Answer:
H is the reflection of itself in the horizontal line
Answer:
A is a reflection across the vertical
what is the correct value of x in the equation 2x + 3= 6
Answer:
x=(3/2) OR 1.5
Step-by-step explanation:
2x+3=6
2x=6-3
2x=3
x=(3/2) OR 1.5
Answer:
x=1.5
i hope this help :3 mark brainliest please!
thank you! <3
PLEASE HELPPP!!!!!!!!!!!!!!
Hey there!
The answer you're looking for is C.
Answer:
c
Step-by-step explanation:
finding missing angles <3
Answer:
angle 1: 92
angle 2: 24
angle 3: 64
angle 4: 35
angle 5: 81
help me here! cant seem to find the answer.. ;-;
Answer:
slope equals 3
!!!!!Please Help Answer These!!!!!!
6x + 3y = 12 (solve for y)
10x - 5y = 10 (solve for y)
2x - y = 2 (solve for y)
3(1 - 3x) = 2( -4x + 7) what is the value of x
Answer:
y = 4 - 2x
y = -2 + 2x
y = -2 + 2x
x = 11
pease tell me if I got them wrong
Express using algebra. Five more than twice x.
Answer:
2x+ 5
Step-by-step explanation:
Solve the system of equations by substitution:
y= x - 2
x+y=12
A. (7,5)
B. (5,3)
C. (0, 1)
D. (14, 12)
Answer:
y=x-2so ...x+(x-2)=12
2x-2=12
2x=12+2
2x=14
x=14/2
x=7
x+y=12
7+y=12
y=12-7
y=5
The scatterplot below shows the relationship between the maximum height in feet, x, of several roller coasters and their top speed in miles per hour, y. Describe the direction, form, and strength, as well as any unusual observations .
A) The association between maximum height and top speed is positive, linear, and strong. There are no unusual observations.
B)The association between maximum height and top speed is positive , linear, and strong. There is one unusual observation at approximately (170, 150) .
C) The association between maximum height and top speed is positive, nonlinear, and strong. There is one unusual observation at approximately (170, 150) .
D) The association between maximum height and top speed is positive, linear, and moderate. There are no unusual observations.
E) The association between maximum height and top speed is positive, nonlinear, and moderate . There is one unusual observation at approximately (170 , 150)
Answer:
b
Step-by-step explanation:
i took the test
PLZ JUST GIVE ANSWER IDC ABOUT EXPLANATION
Answer:
f(1) = 1
General Formulas and Concepts:
Pre-Algebra
Reading a Cartesian PlaneEvaluating functions from a graphStep-by-step explanation:
f(1) is x = 1. The question is asking for the y-value, or f(x) value, when x = 1.
According to the graph, when x = 1, y = 1.
Therefore, f(1) = 1.
I need number 10 if you can get 11 then could you help me with that too?
If it is correct I will give a Branliest!!!
Answer:
10. 3 musicians
11. a) 10 feet
b) can't read all of it
Step-by-step explanation:
Answer:
#10 should be 3
Step-by-step explanation:
If Bryson had 1/4 of g pie, and he wanted to split il
four different ways for his friends, how much pie
would each friend get?
HELP
Answer:
1/16
Step-by-step explanation:
Since he has a fourth of a pie and he is splitting it into 4 that would make 16 pieces of the whole pie and they are each getting 1/16
if p=4 and q =8
3q+2p÷2p+q
Answer:
Step-by-step explanation:
3(8)+2(4)÷2(4)+8 PEDMAS
24+8÷8+8
24+1+8
25+8
33
HELPPPP I BEG YOUU!!!! IT IS ALGEBRA 1
Answer:
The answers are in the screenshot. There wasn't much information to go by, so if the domain and range (and graph) look a little weird, that's why
Question 3 of 8
Which of the following statements contain a variable? Check all that apply.
A. Half the area of the roof.
B. Sixteen feet long.
C. The number of people added to the group.
D. She ran 40 yards.
SUBMIT
Answer:
A. and C.
Step-by-step explanation:
We don't know the area of the roof or the number of people in the group so they would both be represented by variables in an equation.
She buys packages of 12 trading cards to add to her collection. After she adds 16 packages to her existing collection, she has a total of 274 cards.
Write a function to model the size of Sabrina’s collection.
Enter the correct equation in the box.
Answer:
x + (12x16) = 274
Step-by-step explanation:
each package = 12
16 packages
16x12= 192
x + 192 = 274
274-192=82
x = 82
The function to model the size of Sabrina’s collection is x + (12× 16) = 274.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Total cards = cards
Each package = 12
let the size of Sabrina collection be x
Then, x + (12× 16) = 274
x + 192 = 274
x = 274- 192
x= 82
Hence, the function to model the size of Sabrina’s collection is x + (12× 16) = 274.
Learn more about equation here:
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What is the area of this triangle? PLEASE HELP!!!!
9514 1404 393
Answer:
10 square units
Step-by-step explanation:
The triangle appears to have a base length (JL) of 4 units, and a height (JL to K) of 5 units. The area formula can be used:
A = (1/2)bh
A = (1/2)(4)(5) = 10
The area of the triangle is 10 square units.
Lucas wants to write 3 ÷ 2 as a mixed number. He performs the division below. 3 ÷ 2 = 1 R1 Explain how to write the quotient as a mixed number. Drag the words to complete the explanation. Words may be used once or not at all. quotientdivisordividendremainder Use the whole number part of the as the whole number part of the mixed number. Write the in the numerator of the fraction and write the in the denominator of the fraction.
Answer:
1 1/2
Step-by-step explanation:
Given the improper fraction 3÷2, this can also be written as 3/2.
Writing as a mixed fraction means writing as a combination of a whole number and fraction e.g a b/c
a is the whole number
b/c is the fraction
3/2 = 1.5
1.5 = 1 + 0.5
1+0.5 = 1 + 5/10
3/2 = 1 + 1/2
Hence 3÷2 expressed as mixed fraction is 1 1/2
The mixed number representation of 3 ÷ 2 is 1 1/2.
To write the quotient of 3 ÷ 2 as a mixed number, we use the whole number part of the quotient as the whole number part of the mixed number.
We write the remainder (1) in the numerator of the fraction, and the divisor (2) in the denominator of the fraction.
As, the whole number part of the quotient is the number of times the divisor (2) can be divided into the dividend (3) evenly.
In this case, 2 can go into 3 once, with a remainder of 1.
To express this as a mixed number, we write 1 as the whole number part, and the remainder (1) as the numerator of the fraction. The divisor (2) is written in the denominator of the fraction.
Therefore, the mixed number representation of 3 ÷ 2 is 1 1/2.
Learn more about Mixed Fraction here:
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Whats the slope of the line shown in the graph?
Answer:
3/2
Step-by-step explanation:
I know this answer is correct, because I did it on edge.
it's D because i did the test and got it right
:D
Answer:
ok
Step-by-step explanation:
help me factor x^2 + 9
x 2 + 9 has no (Real) factors (Unlike x 2 − 9 )
Explanation:
The most you could do with this is use the quadratic formula on
XXXX x 2 + 0 ⋅ x + 9
to get
XXXX ± 3 i
So you could factor using Complex values:
XXXX x 2 + 9 = ( x + 3 i ) ( x − 3 i )
Ms.Clark goes to the store and purchased a 26 lb turkey for $38.74 and two bags of potatoes. Her bill was $50.24. How much was each bag of potatoes? Write and solves the equations.
Answer:
$5.75
Step-by-step explanation:
50.24 - 38.74 is 11.5
Then, to find how much each potato bag is you need to divide by 2.
11.5 divided by 2 is 5.75.
Each bag of potatoes was 5.75$