hey can u answer this one?

Question

1) A small business firm determined that its earnings for the past five years could be represented by a linear function. In 1987, the company sold 15,000 products and earned $250,000. In 1988, sales were 17,000 units and earnings were $283,390. Find the earnings on sales of 20,000 units.

2) The height of a triangular sail on a boat is 2 t. less than 4 times the length of its base. If the area of the sail is 45 ft. find the length of its base and height.

Answer 1

1. $333,330

2. 7

Answer 2

Whee algebra!

1) First step is to set up some equations, start with what we know. We are looking at the relationship between # of products and corresponding earnings. The form of a linear relationship will be y = Ax + B. In this case our 'y' will be earnings, 'x' will be # of products. So we can set up 2 equations because we have two years of observation.
(1987) $250,000 = A*15,000 + B
(1988) $283,390 = A*17,000 + B
This is called a system of equations, the system has one solution because there is an equal number of equations & unknown variables (A & B). There are 2 ways to solve a system of equations, I'm going to use the more elementary method of subsitution.

First solve the first equation for a unknown variable ( the order is irrelevant), then plug in your answer to the second equation.
(1987) $250,000 = A*15,000 + B (solve for B)
250,000 - A*15,000 = B
(1988) $283,390 = A*17,000 + B (solve for A)
283,390 = A*17,000 + (250,000 - A*15,000)
283,390 - 250,000 = A*17,000 - A*15,000
33,390 = A*(17,000 - 15,000)
A = 33,390 / 2,000 = 16.695
Now solve for a numerical B
B = 250,000 - A*15,000
B = 250,000 - (16.695)*15,000
B = 250,000 - 250,425 = (-)425
Now check your answer by plugging into an original equation
(1987) $250,000 = A*15,000 + B
250,000 = (16.695)*15,000 + (-425)
= 250,425 - 425 = 250,000 (CORRECT!)
Find earnings on 20,000 units.
16.695*20,000 - 425 = 333,475

2) Area of triangles = (1/2) base * height
The wording is a bit tricky here, does "2 t." mean 2 times? or is t a variable? If t is an unknown variable than the equation has infinite solutions. So I'll assume it means "2 times."
45 ft = (1/2) base * ( 4*base - 2*base)
90 = base * (2*base)
45 = base**2
(** will represent a power, so this means base squared)
sqrt(45) = base = 6.708
(sqrt will represent taking the square root of something)
Then solve for height: 2*base = height = 13.416
Check the solution: 45 = (1/2) base * height
= (1/2) * 6.708 * 13.416 = 45 (CORRECT!)

Answer 3

1. 15,000V+ F = 250,000 - (1)
17,000V+ F = 283,390 - (2)
solving (1) and (2), we have V= 16.695
and F = -425
thus, earnings on sales of 20,000 units:
20,000(16.695)-425 = $333,475

2. h = 4b -2 - (3)
0.5hb = 45 - (4)
solving (3) and (4), we have
0.5 (4b-2)b = 45
4b^2 - 2b - 90 = 0
2b^2-b-45 = 0
(2b+9)(b-5) = 0
b = -4.5 (rejected) or 5 ft.
h = 4(5) - 2 = 18 ft.

Answer 4

15000x=250000
x=250000/15000
x=16.67

17000x=283390
x=283390/17000
16.67

20000x=y
20000(16.67)=333400

1) $333,400

1/2bh=45
h=4b-2

1/2(4b-2)(b)=45
4b²-2b=90
4b²-2b-90=0

(-b±√(4ac))/(2a)
(2±√(4*4*-90))/(2*4)=0
(2±√( 4+1.4400e+3 ))/8
b=5 or -4.5
best answer is b=5

4(5)-2=18

2) base 5 ft., height 18 ft.

Answer 5

15,000 = $250,000
17,000 = $283,390
20,000 = $

ratios:
15000/250,000 = .06
17000/283,390 = .059988 or .06
20000/300,000 = .06666...

Sorry, I don't understand the wording of the sail question.

Answer 6

hey, yes i can answer them. that is because i did my homework and learned many years ago.....you should do the same

Answer 7

oops togh ones

Answer 8

Yes I can!

But the other ones are a bit hard.......

Answer 9

Do your own homework.

Answer 10

i wish i could help you ...