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2 years ago

5. Write an equation that models exponential decay.

Mathematics

1 answer:

Sliva [168]2 years ago

5 0

Answer:

Step-by-step explanation:

y = ab^x where 0<b<1 for exponential decay

an example would be y = 3(1/7)^x

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B) 75: 125 help me solve it

mash [69]

75:125

divide both sides by 25

75/25= 3

125/25= 5

Answer: 3:5

4 0

3 years ago

3x+4y=10 solve for y

Sever21 [200]

Answer:

y=5/2 - 3x/4

Step-by-step explanation:

7 0

3 years ago

Tuna is standing at the point (-2,-8). Marc is standing at the point (6,10). What are the coordinates of the point midway betwee

n200080 [17]

Easiest way is to find which one is smaller -2 is smaller than 6 8 is smaler than 10 so (-2,8) is smaller we find the distance betewen them distance between -2 and 6 is 8 distance beteeen 8 and 10=2 so we add 1/2 of each to the smaller one 8/2=4 -2+4=2 2/2=1 8+1=9 the midpoint is (1,9)

3 0

3 years ago

Y=x^2, y=x+12 solve by substitution method

Goshia [24]

Answer:

y=x^2

y=x+12

x^2=x+12

x=-3

x=4

y=-3+12

y=4+12

y=9

y=16

(x1,y1)=(-3,9)

(x2,y2)=(4,16)

Step-by-step explanation:

Hope this helps!

can i have brainliest please

5 0

3 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