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Salsk061 [2.6K]
3 years ago
9

a baby was born with a weight of five pounds and then began to gain 1.25 pounds per month. write an equation for w in terms of t

representing weight in pounds of a newborn baby t months after birth
Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer:

w times t

Step-by-step explanation:

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3. Marcus had an average score of 90% on two biology tests about protists. If his first test score was 96%, which score did he r
Maurinko [17]

Answer:

B: 84%

Step-by-step explanation:

7 0
2 years ago
A fish tank that measures 30 inches by 24 inches by 9 inches is filled with water 7/8 of its height. 2/3 of the water leaks out
kondaur [170]
6/5 would be the answer
4 0
3 years ago
What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4, 3)?
Ostrovityanka [42]
<h2>Answer:   y = - ¹/₂ x + 5 </h2>

<h3>Step-by-step explanation: </h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.

                 ⇒  if the slope of this line = 2     (y = 2x + 2)

                      then the slope of the perpendicular line (m) = - ¹/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                               ⇒  y - 3 =  - ¹/₂  (x - 4)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                             since   y - 3 =  - ¹/₂  (x - 4)

                                              y = - ¹/₂ x + 5   (in slope-intercept form)

8 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 :

<u>Equivalent Annual Cost or (EAC) for the SYSTEM-A</u>

$\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                 <u> 0.683013   </u>                       <u>-33,706.71  </u>

     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                 <u> 0.564474  </u>                        <u>  -26,547.21 </u>  

    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
Write the equation of the graph​
lakkis [162]

Answer:

y = x -3

Step-by-step explanation:

From the graph we see the line goes from point (0, -3) to point ( 3, 0), so we can find the slope as m= rise ( go up 3)  / run ( go to the right 3)  = 3/ 3 = 1

From the graph we can also see the y-intercept ( where the line intersects the y axis is at b = -3

The general equation of the line is y= mx+ b

Our line's equation is y = x -3, because m=1 and b= -3

5 0
2 years ago
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