Business mathematics and algebra research
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Fix each of the following equations to get the unidentified variable.
a) 15x & 40 sama dengan 8x –
15x +49 = 8x
b) 7y – one particular = 23-5y
c) 9(2x + 8) = 20 – (x & 5)
d) 4(3y – 1) – 6 = 5(y + 2)
Sumado a = (20/7)
Bob Dark brown bought two plots of land for any total of $110, 000. On the initially plot, selection a profit of 16%. Around the second, he lost 4%. His total profit was $9, six hundred. How much do he spend on each lot?
X= selling price of the initially plot
Y= price from the second plot
X+Y= 128, 000
. 16x-. 04y=9600
. 16(110, 000-y)-. 04y=9600
17600-. 16y-. 04y=9600
x=110, 000-40, 000=70, 000
A significant car rental organization charges $57 a day with unlimited mileage. A discount organization offers a similar car pertaining to $24 each day plus twenty two cents per mile. How long must you travel in a day for the cost as the same at both firms?
Algebraic Operations and Applications
Once solving this questions, display each step with the solution along with the final results. If you have no job to show, make sure to fully make clear your answer method.
1 ) Simplify the following algebraic operations:
a) 7x – 2(x-2) + 5(x+3)
7x-2x+4 & 5x +15
10x & 19
b) (x+2)(x-4) & 3x & 1
x^2 + by -7
installment payments on your Suppose a student has earned the following levels on her initial four quizzes: 83, seventy two, 89, 80. What must she credit score on her fifth quiz so as to have a mean of 80 about all of her quizzes?
322 + by = 500
3. The perimeter of a rectangle is definitely twice the length plus 2 times the width. The area of the rectangle is definitely the product of its width and length. Suppose we let d represent the length and w represent the width of any rectangle.
a) Write an algebraic manifestation that symbolizes the edge.
b) Publish an algebraic expression that represents the area.
c) Estimate the perimeter of a rectangle 12 inches long and 20 inches wide.
d) Determine the area in the rectangle referred to in Part C.
III. Managerial Math
7) Divide the subsequent numbers:
a) +2/+2 = 2
b) +2/-2 sama dengan -2
c) -2/-2 = 2
8) Add the following numbers:
a) (-10) & (-20) sama dengan -30
b) (+10) + (-20) = -10
9) Subtract the subsequent numbers:
a) (-20) – (-30) sama dengan 10
b) (-20) – (+30) = -50
c) (+20) – (-30) = 50
10) Evaluate the subsequent exponentials:
a) (-1)^3 sama dengan -1
b) – 1^3 = -1
c) (-1)^2 = 1
d) – 1^2 = -1
4. Linear Equations and Applications
Linear Equations and Applications:
1 . Find the x- and y-intercepts for the line given by the equation 3x + 2y = 12
X= four y=6
2 . Find the equation in the line that passes through the points (3, 1) and (2, -1). Write the formula in slope-intercept form.
Con = 2x-5
3. Discover the formula of the range that goes by through the factors (1, 1) and (-2, 10). Write the equation in slope-intercept kind.
Y = 4 – 3x
four. Suppose an enterprise purchases a new tractor in a original cost of $42, 1000. Further, assume this tractor has a beneficial life of 8 years and a salvage value of $12, 000.
a) Use the Straight-Line Method to locate the yearly depreciation on this tractor.
(42000-10000) X 1/8 x 12/12 = four thousand
b) What is the value of this tractor worth following 3 years?
V = -12000 + 42000 = 40, 000
c) Find a formulation that calculates the tractor’s worth after t years. What is the most allowable worth for big t?
V sama dengan -4000(t) +