Reference no: EM131026092
Find a linear function f(x) = mx + b whose graph has the given slope and y-intercept.
1. Slope: 4/5 ; y-intercept: (0,28)
Find an equation of the line having the given slope and containing the given point
2. m = 3, (-2, -2)
Find an equation of the line containing the given pair of points.
3. (-4, -7) and (-2, -1)
Write an equation of the line containing the given point and parallel to the given line.
4. (-4, -5); 2x + y = -3
Write an equation of the line containing the given point and perpendicular to the given line.
5. (-3, -5); 5x - 2y = 4
True tone Graphics bought a computer for $3800. The value V(t) of the computer depreciates at a rate of $50 per month.
A) Formulate a linear function for the value V(t) of the computer after t months.
B. Graph the model.
C. Use the model to determine the value of the computer after 10 months.
6. The table below shows data regarding the median age of women at first marriage in 1970 and in 2003.
YEAR MEDIAN AGE OF WOMEN AT FIRST MARRIAGE
1970 20.8
2003 25.0
A. Use the two data points to find a linear function that fits the data. Let x= the number of years since 1970 and A = the median age at first marriage x years from 1970.
B. Use the function to predict the median age of women at first marriage in 2008 and in 2015.
Solve the system by the substitution method.
7. m - 2n = 3
4m + n =1
8. The perimeter of a soccer field is 340m. The length exceeds the width by 50m. Find the length and the width.
9. An airplane has a total of 152 seats. The number of coach-class seats is 5 more than six times the number of first-class seats. How many of each type of seat are there on the plane?
8.3
10. solve the system by the elimination method
3x + 2y = 3
9x - 8y = -2
16. 3x - 2y = 1
-6x + 4y = -2
18. 3x - 5y = -2
5y - 3x = 7
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Determining the effect on project npv
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What residual value must the lessor recover to break even
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How many of each type of seat are there on the plane
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What is shadow cost of equity
: Shadow corp. has no debt but can borrow at 8%. the firm's WACC is currently 11% and the tax rate is 35%. i. What is shadow's cost of equity? ii. If the firm converts to 25% debt, what will its cost of equity be?
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: Your firm needs a computerized machine tool lathe which costs $60,000 and requires $13,000 in maintenance for each year of its 3-year life. After three years, this machine will be replaced. The machine falls into the MACRS 3-year class life category...
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Determine the speed and speed regulation
: The armature resistance is 2Ω. Determine the speed and speed regulation if a load demanding a torque of 50 Nm is connected to the motor. Assume that the losses consist solely of heating of RA and frictional loss torque that is independent of speed..
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Create relationships between the tables
: Explain why a Database Management System is the appropriate tool for this project - explain why this Database Management System was developed as a Relational Database.
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