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2 years ago

Answer 2 and 3 plz I really need this

Mathematics

1 answer:

vodka [1.7K]2 years ago

4 0

Answer:

2. (3/6)/4 = 1/8

3. (1/3)/(1/4) = 4/3

Step-by-step explanation:

To solve these expressions, simply solve them by multiplying the reciprocal of the bottom number times the fraction in the numerator:

2. (3/6)/4

3/6 x 1/4

3/24

1/8

3. (1/3)/(1/4)

1/3 x 4

4/3

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If the perimeter of the following triangle is 7x-2, what is the length of the unknown side?

Alinara [238K]

7x-2-(3x-9)-(x+7)

=7x-2-3x+9-x-7

=7x-3x-x-2+9-7

=3x

4 0

2 years ago

I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$

t=415.63 minutes

6 0

3 years ago

17. New Schools expects an EBIT of $100,000 every year forever. The firm currently has no debt, and its cost of equity is 10 per

Natali5045456 [20]

Answer:

$880,000

Step-by-step explanation:

First note that the full meaning of EBIT is earning before interest and tax.

When the company does not have debt, it called unlevered (VU), while a company that has debt is called levered (VL) company. The VU and the VL of the company can be calculated using the VU and VL formula as follows:

Step 1. Calculation of VU

VU = [EBIT × (1 - tax rate)] ÷ cost of equity

= [$100,000 × (1 - 0.20)] ÷ 0.10

= [$100,000 × 0.80] ÷ 0.10

= $80,000 ÷ 0.10

= $800,000

Step 2. Calculation of VL

VL = VBC + (tax rate × conversion rate × VU)

= $800,000 + (0.20 × 0.5 × $800,000)

= $800,00 + $80,000

= $880,000

Therefore, the value of the firm will be $880,000 if it is converted to 50 percent debt.

3 0

3 years ago

What is the solution to the system of equations graphed below?<br> y = -4x + 2<br> 6<br> y = x-3

Vikentia [17]

Answer:

y=14/5, x=29/5

Step-by-step explanation:

3 0

2 years ago

5x + y = 6 5x + 3y = -4 The y-coordinate of the solution to the system shown is _____. -5 -1 1

anzhelika [568]

5x +y = 6
5x + 3y = -4
multiply top equation by -1 and bottom by 1
-5x -y = -6
5x+3y = -4
solve and get
2y = -10
y = -10/2
y = -5
answer is -5

8 0

3 years ago