The governor of state A earns $51,615 more than the governor of state B. If the total of their salaries is $291,335, find the salaries of each.
Answer:
A = $171,475, B = $119,860
Step-by-step explanation:
A represents the salary of the governor of state A.
B represents the salary of the governor of state B.
A is $51615 larger than B, so you get the equation:
A = B + 51615
The total of the two salaries is $291335, so you can the second equation:
A + B = 291335
Using the first equation, substitute the quantity (B + 51615) for A in the second equation.
(B + 51615) + B = 291335
2B + 51615 = 291335
2B = 239720
B = 119860
Plug this value of B back into either of the equations.
A = B + 51615 = 119860 + 51615 = 171475
Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
C = ???
The slope of the function is ? which represents:
A: The total charge of using a computer
B: The number of minutes the computer was used
C: The additional charge per minute
D: The initial charge to use a computer
Answer:
C = 1/5t +6
slope: 1/5, (C) The additional charge per minute
Step-by-step explanation:
Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...
m = rise/run = 1/5
The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...
C = 1/5t +6
__
As we saw above, the slope of the function is 1/5, which represents ...
the additional charge per minute
3x+2=198
Solve it as Soon as possible!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for x ~
[tex]3x + 2 = 198[/tex][tex]3x = 198 - 2[/tex][tex]3x = 196[/tex][tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]Answer:
[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+2=198
Step 1: Subtract 2 from both sides.
3x+2−2=198−2
3x=196
Step 2: Divide both sides by 3.
[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]
Result:
[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]
watch it and tell me what u think
Record the prime factorization of 720 using exponents
Answer:
20
Step-by-step explanation:Because thats the last two digets
The prime factorization of 720 using exponents is 2⁴×3²×5.
The given number is 720.
Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.
The factors of 720 are
720 = 2×2×2×2×3×3×5
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
Now, 2×2×2×2×3×3×5 = 2⁴×3²×5
Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.
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choose the inequality that represents the following graph
Help plz
Answer:
D
Step-by-step explanation:
Remember:
close circle means greater than or equal to
open circle means greater than
Therefore
x [tex]\geq[/tex] -4
rewrite 4x plus 2y equals 6 in slope intercept form.
Answer:y=-2x+3
Step-by-step explanation:
If a line has the x-intercept of (4,0) and no y-intercept, what is the Slope-intercept form equation ? Please !!
Answer:
y=mx+c
0=m(4)+c
c=4m
positive slope
To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?
1. ∠DEF ≅ ∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF
The additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
Recall:
If two triangles have three pairs of congruent sides, the two triangles can be proven to be congruent triangles based on the SSS Congruence Theorem.In the figure given, ΔDEF and ΔDGF is shown to have the following two pairs of congruent sides:
EF ≅ GF
DF ≅ DF (both triangles share a common side)
We need an additional information that shows that the third sides of both triangles (DE and DG) are congruent to each other.
Therefore, the additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
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Answer:
C. DE ≅ DG
Step-by-step explanation:
Have a good day!
Write the ratio in simplest form. 10 seconds to 5 min
Answer:
10:5
Step-by-step explanation:
The simplest form of the ratio 10 seconds to 5 min will be;
⇒ 1 : 30
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio is,
⇒ 10 seconds to 5 minutes.
Now,
Since, The ratio of two numbers has always same units.
So, We change 5 minutes into seconds as;
Since, 1 minutes = 60 seconds
Hence, 5 minutes = 5 x 60 seconds
= 300 seconds
Thus, The ratio becomes,
⇒ 10 seconds to 300 seconds
⇒ 10 : 300
⇒ 10 / 300
⇒ 1 / 30
⇒ 1 : 30
Thus, The simplest form of the ratio 10 seconds to 5 min will be;
⇒ 1 : 30
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An airplane starts to descend from an altitude over 30,000 feet at what rate is the airplane descending?
Answer:
20,000 feet
Step-by-step explanation:
Based on the initial altitude and the rate that the plane is descending, the relevant equation is = 30,000 - 2,000x. The altitude after 5 minutes is 20,000 feet above sea level.
The plane begins at 30,000 feet above ground and is descending at 2,000 feet per minute. The relevant equation after x minutes is:
= Initial altitude - (Descent in feet per minute x Number of minutes)
Plugging in the values gives:
= 30,000 - (2,000 × x)
= 30,000 - 2,000x
creds to Parrain
PLEASE HELP! Economics
Answer:
Are Included in calculating the parity of purchasing power .Hope helpsequation with a variable on both sides that equal 27
Answer:
x +20 = 20 + 4 -x +10 (x =7)Step-by-step explanation:
equation with a variable on both sides that equal 27
x +20 = 20 + 4 -x +10
What is the answer for 14.05 x 7
Answer:
98.35
there that is the answer
From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at an altitude of 9 kilometers, how far from the farmhouse will the airplane be after it has traveled 12 kilometers at the same altitude?
Answer:
Step-by-step explanation:
In the image below.
I hope I've helped you.
The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False
9514 1404 393
Answer:
B. False
Step-by-step explanation:
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
There is nothing in the diagram to require the triangles be congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
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In one year the Mcallister family jobs their car 50,600 miles to the nearest thousands how many miles did they drive their car that year
Answer:
51,000 thousand
Step-by-step explanation:
the miles are above 500 , 600 so they rounded up to 51,000
Hope that helped :) have a great day !
Answer:
The distance driven by the McAlister family car in one year, to the nearest thousand, is 51,000 miles
A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.
Answer:
6
Step-by-step explanation:
h = 8
Surface area = 66π
2πr(r +h) = 66π
2πr(r + 8) = 66π
[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]
r² + 8r = 33
r² + 8r - 33 = 0
r² + 11r - 3r - 33 = 0
r(r + 11) - 3(r + 11) = 0
(r +11 ) (r - 3) = 0
r - 3 = 0 {Ignore r = -11 as radius will not have negative value}
r = 3
Diameter = 3*2 = 6 units
help pls and ty! i will give brainliest to the correct answer
Answer: 24km
Step-by-step explanation:
given 1cm : 8km
distance between cafe and restaurant upply store= 3cm
Real distance = 3x8 =24 km
What is the sum of the numbers
1*2+2*3+.....n(n+1)
Answer:
8+n²+n
Step-by-step explanation:
Simplfy the expression
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
2,-1
Step-by-step explanation:
3044 in a base 5 to a base 10
Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. Thus, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results. Once you have the pro forma model created, please briefly describe your results and how various changes in unit volume, price, and costs can change your valuation results. This analysis includes the 20% increase and decrease in sales volumes.
Barton PC is a small-cap computer company located in Wilson NC. The company operations officer, Nancy Simpson, is also part owner in the company. Nancy started the company in the mid-90’s as a producer of small laptop computers. Over the years, laptop computer usage has slowly declined as consumers have moved to more mobile-centric devices. To capture this growing trend, Barton PC created the Barton-1 smartphone. The phone comes in just one model and has generated excellent sales. As with all modern electronics however, technology changes rapidly and the company is concerned sales will fall as new and existing competitors enter the market.
To ensure continued robust sales, Barton PC has spent $750,000 to develop a new prototype smartphone with new and enhanced features. To more fully understand the expected sales of the phone, a marketing study for $200,000 was also conducted
Nancy estimates the new phone’s variable manufacturing cost will be $205 per unit. Fixed costs for the project are estimated to run $5.1 million per year. The estimated 5-year sales volumes for the new phone are as follows: 64,000, 106,000, 87,000, 78,000 and 54,000 per year. Based on market research, Nancy feels the phone can be sold for $485 per phone. However, Nancy also finds there will be considerable upstart costs to start production. New equipment will be purchased for $34.5 million and will be depreciated on a seven-year MACRS schedule. It is believed the market value of the equipment in 5 years will be fully depreciated.
Net working capital for the phone will be 20% of sales and will occur with timing of the cash flows each year. In this case there are no startup costs for networking capital. Changes in net working capital will thus start when sales occur in year 1. The company has a 35% corporate tax rate and a required return on capital of 12%.
To ensure the phone creates value for the company, Nancy has requested a valuation analysis for the project. Specifically, she would like to see the net present value (NPV) and internal rate of return (IRR) for the phone over the 5-year expected sales. She would also like to see how these metrics change with various unit sales scenarios or 20% less and 20% more in unit volume sales.
Answer:How is pro forma income statement calculated?
Image result for Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. This, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results.
How to Create A Pro Forma Income Statement
Sales (or Revenue) - Cost of Goods Sold = Gross Income (or Gross Earnings)
Gross Income (or Gross Sales/Earnings) - Operating Expenses = Operating Income.
Operating Income - Depreciation = EBIT.
EBIT - Interest Expense = EBT.
EBT – Taxes = Net Income (Net Earnings, EAT, Profits)
Step-by-step explanation:
i'll mark brainliest thanks in advance ·
Answer:
a.8
Step-by-step explanation:
Which of these angle pairs are congruent because they are corresponding
angles?
A. 2 and 4
B. 2 and 3
C. 2 and 5
D. 2 and 6
SUBMIT
Answer: it’s 2 and 6
Step-by-step explanation:
Please helpp!! best answer gets brainliest
Answer:
the answer is B and C, because B equals .57 and C is .666 continuous
Answer:
C
Step-by-step explanation:
Turn everything into a fraction (round if needed)
4/7 = 0.571
A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.
B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.
C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.
Find the equation for g
Answer:
Ti lah 13435364646166161611646646767676797979494
Mary mixes 11/12oz of red paint with 1 3/4oz of white paint.
How many ounces of paint does Mary mix?
Answer:
2 8/12 or simplified it is 2 2/3.
how to find 75% of 156
Divide the percent by 100 to get a decimal number:
75% / 109 = 0.75
Now multiply:
156 x 0.75 = 117
75 % 0f 156 = 117
Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
x + y = 7
x - y = 5
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is x= 6 and y = 1. (Type integers or simplified fractions.)
** i know that x=6 and Y=1. I don’t know how to graph it. It gives me a hint that the lines need to be in slope intercept form but again, I dont know how to graph! **
So the easiest way would be to change them into slope intercept form
x + y = 7
y = - x + 7
x - y = 5
y = x - 5
The coefficient of x is the slope, since none of them have a coefficient, their slopes are 1. The first line has negative x which means the slope is negative one, which you can draw from top left to bottom right and a positive slope is drawn from top right to bottom left.
The number after x is the y-intercept which is where the line intercepts the y-axis.
To draw, put a dot on the y-intercept and with a slope of one, go up and right one, or the opposite which is go down one and left one and put another dot and draw a line between the two dots. With a slope of negative one, go up one and go left one, or the opposite which is go down one and right one and draw a line between the two dots.
