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3 years ago

The equation of a line is 4x−3y=−24. What is the x-intercept of the line?

1 answer:

5 0

To find the x int, sub in 0 for y and solve for x

4x - 3y = -24
4x - 3(0) = -24
4x = -24
x = -24/4
x = -6 <== ur x int...or (-6,0)

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Answer:

4.25

Step-by-step explanation:

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3 years ago

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A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?

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3 years ago

Find C and a so that f(x) = CaX models the situation described. State what the variable x represents in your formula. In 2000 a

Nezavi [6.7K]

Answer:

f(x) = Ca^x

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f(0) = 220000 = Ca^0 = C

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2 years ago

Letang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $280,00

Vanyuwa [196]

We have to calculate the EAC for both the conveyor belt system.

Solutions :

Equivalent Annual Cost or (EAC) for the SYSTEM-A

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times$ tax rate )

$=-855,000(1-0.23)+\left[\left(\frac{280,000}{4}\right)\times 0.23\right]$

$= (-85,000 \times 0.77 ) + (70,000 \times 0.23)$

= $ 49,350

Year Annual Cost flow Present value factor Present Value of Annual

at 10% cash flow

1 -49,350 0.909091 -44,863.64

2 -49,350 0.826446 -40,785.12

3 -49,350 0.751315 -37,077.39

4 -49,350 0.683013 -33,706.71

Total $ 3.169865 $ -156,432.86

Therefore, Net Present value = present value of the annual cash flow - initial investment.

= 156,432.86 - 280,000

= $ 436,432.86 (negative)

Now the EAC or the Equivalent Annual Cost for System A :

$\text{EAC}= \text{Net present value / (PVIFA 10 percent, 4 years)}$

$=\frac{436,432.86}{3.169865}$

$= 137,681.86$ dollar (negative)

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times$ tax rate)

$=79,000(1-0.23)+\left[\left(\frac{360,000}{6}\right) \times 0.23\right]$

$=(-78,000 \times 0.77)+(60,000 \times 0.23)$

= -$ 47,030

Year Annual Cost flow Present value factor Present Value of Annual

at 10% cash flow

1 -47,030 0.909091 -42,754.55

2 -47,030 0.826446 -38,867.77

3 -47,030 0.751315 -35,334.34

4 -47,030 0.683013 -32,122.12

5 -47,030 0.620921 -29,201.93

6 -47,030 0.564474 -26,547.21

Total $ 4.355261 $ -204,827.91

Net Present Value = Present Value of annual cash inflows – Initial Investment

$= 204,827.91 - 360,000$

= -$ 564,827.91 (negative)

EAC for system B:

Equivalent Annual Cost for system B $=\frac{\text{net present value}}{\text{PVIFA 10 \text percent, 6 years}}$

$=\frac{-564,827.91}{4.355261}$

= -$129,688.66 (negative)

7 0

3 years ago

Mrs.Jenning had 5/7 gallon of paint. She gave 1/7 gallon each to some students. How many students received paint if Mrs.Jennings

yKpoI14uk [10]

Answer:

The number of students who received the paint=5 students

Step-by-step explanation:

Step 1: Determine amount given to each student

Quantity per student=1/7 gallon per student

Step 2: Determine the total amount of paint Mrs. Jennings had

The total quantity of paint Mrs. Jennings is:

Initial quantity of paint=5/7 gallon

Step 3: Calculate number of students who received the paint

The number of students who received the paint can be expressed as;

Initial quantity of paint=Quantity per student×number of students

where;

Initial quantity of paint=5/7 gallons

Quantity per student=1/7 gallons

number of students=n

replacing;

5/7=(1/7)×n

n=(5/7)×7

n=5

The number of students who received the paint=5 students

4 0

3 years ago