Posted by Shelly,k on Monday, May 26, 2008 at 2:36pm.
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Initial Budget:
$80,000 loan from family
$38,250 small business loan from bank
All loans to be repaid in 10 years
1. You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $80,000 loan from your family and a $38,250 small business loan. These loans must be repaid in full within 10 years.
a) What integer would represent your total budget?
b) Twenty-five percent of your budget will be used to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.
c) How much money will rent and utilities cost? Explain how you arrived at this answer.
d) Suppose an investor has increased your budget by $22,250. The investor does not need to be repaid. Rather, he becomes part owner of your business. Will the investor contribute enough money to meet the cost of rent and utilities? Support your answer, and write an equation or inequality that illustrates your answer.
e) This equation illustrates your remaining funds after paying for rent and utilities. How much money is left? Explain how you arrived at your answer.
$38,250 + $80,000+ $22,250-0.25($80,000 + $38,250) =
Complete the table for this equation.
x y (x,y)
-1
-2
-4
-4
8
1) you are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project.
Q1: write an inequality that demonstrates how much money you will be willing to spend on the project.
A1: 6,000 greater than > and equal = to 10,000
Q2: suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. you need 30 tons of rock to cover the area. if each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500? write an inequality that illustrates the problem and solve. express your answer as an inequality and explain how you arrived at your answer.
A2: 30(60) + 84x = 2500
1800 + 84x = 2500
subtract both sides by 1800 to get:
-1800 + 84x = 2500-1800
84x = 700
divide both sides by 84 to get:
x = 8.33
estimates the price of gasoline in January of each year (Bureau of Labor Statistics, 2006).
a) Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.
b) Use the equations of the lines to determine if they are parallel. What did you find?
c) Did your answer to part b confirm your expectation in part a?
b) Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500? Write an inequality that illustrates the problem and solve (c)c) Would 5 trees be a solution to the inequality in part b? Justify your answer
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at a local community college,it costs $500 to enroll in a morning section of algebra course. suppose that thevariable n stands for the number of students who enroll. then 500n stands for the total amount of money collected for this course. how much is collected if 46 students enroll? 82 students? 240 Students?
If 46 students enrolled, the amount collected will be 500(46) = $23000
if 82 enrolled,
500(82) = $41000 and if 240 enrolled
500(240) = $120,000
A driver who drives at a speed of r mph for t hr will travel a distance d mi given by d = rt mi. How far will a driver travel at a speed of 61 mph for 5 hr? What is the distance traveled?
Mat/116 Algebra 1 A
Math 116, Week 4 Checkpoint, Graphing Equations
Graph the equation and identify the y-intercept.
y = ½ x
Graph the equation and identify the y-intercept.
y = 5x – 5
Graph the equation and identify the y-intercept.
y + x = -5
Graph the equation and identify the y-intercept.
x + 2y = 8
The value, v, of a shopkeeper's inventory software program is given by v = -1/2t + 4, where t is the number of years since the shopkeeper bought the program. What is the program worth 9 years after it is first purchased?
Plot the point with the given t-value, 4.
Find the y-intercept and x-intercept for the equation.
4x + 3y = 48
(Type an ordered pair.)
Use the intercepts to graph the equation.
x + 2y = 4
Find the intercepts and then use them to graph the equation.
5y – 15 = 5x
Find the intercepts and then use them to graph the equation.
y = -5 – 5x
Graph the equation.
y = 6
Graph the equation by plotting points.
21 – 3y = 0
Graph the line containing the given pair of points and find the slope. (7,0) and (2, -2)
Find the slope, if it exists, of the line containing the points (-2, ½) and (-6, ½).
m =
(Simplify your answer. Type as integer or fraction. Type N if the slope is undefined.)
A roof raises 1.2 feet vertically and 12.9 feet horizontally. What is the grade of the roof?
The grade of the roof is %.
Find the slope, if it exists.
y = -5x + 8
m =
(Simplify your answer. Type as integer or fraction. Type N if slope is undefined.)
Find the slope, if it exists.
3x – y = 7
m =
(Simplify your answer. Type as integer or fraction. Type N if slope is undefined.)
Find the slope, if it exists.
y = -2.17x
m =
(Simplify your answer. Type an integer or a decimal. Type N if the slope is undefined.)
Find the slope, if it exists.
2x – 4y + 17 = 0
m =
(Simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.)
V = 1/5 ð t^2 s