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3 years ago

Please Help ASAP

Mathematics

1 answer:

I am Lyosha [343]3 years ago

3 0

A little late, but to find out the output for 24.5, you first need to find the "rule" for this table. in other words, you need to figure out what equation they're using to get these outputs

they're doing SOMETHING to the x values to get the y values. take your outputs, y, and divide them by your inputs. see if you run into a pattern.

14/4 = 3.5
17.5/5 = 3.5
21/6 = 3.5
24.5/7 = 3.5

... and you do. the equation here is probably y = 3.5x, because every x value appears to be multiplied by 3.5 to get the y value.

so, you can find the output for 24.5 by multiplying it by 3.5
24.5 * 3.5 = 85.75

for some reason, it seems like they rounded down to 84? not quite sure why. 84/24.5 is about 3.4, which isn't as precise, but it's the closest to the result. i would choose A.

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If kevin makes c toys in m minutes, how many toys can he make per hour

mina [271]

Answer:

$\frac{60c}{m}$

Step-by-step explanation:

We can use the unity rule to solve this problem.

Number of toys made in m minutes = c

Number of toys made in 1 minute = $\frac{c}{m}$

Number of toys made in 60 minutes = $\frac{c}{m} \times 60 = \frac{60c}{m}$

Since 60 minutes = 1 hours, we can write:

Number of toys made in 1 hour = $\frac{60c}{m}$

Therefore, we can say that Kevin makes $\frac{60c}{m}$ toys per an hour.

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3 years ago

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Answer:D

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6 0

3 years ago

Read 2 more answers

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allochka39001 [22]

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3 years ago

Read 2 more answers

Help with proofs please

allsm [11]

Answer:

A. addition property of equality

Step-by-step explanation:

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3 0

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

2 years ago