Date: Pages of * The current ratio of a business is the ratio of its current assets to its current labilities. After consulting with the comptroller, the president of Ace sports equipment company decides to take out a short-term loan to build up inventory. The company has current assets of $350,000 and current labilities of $ 80,000. How much can the company borrow if the current ratio is to be no less than 2.5?
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Answer:

w = 5

Step-by-step explanation:

Step 1: Use the Distributive property to get 6w + 30.

Step 2: Divide 6w by 6 and cancel out both 6s.

Step 3: Divide 30 by 6 to get 5, and you have the answer.

Step-by-step explanation:

the scale factor is 1 : 150

you don't know what that means ?

it means that every unit (here cm) in the diagram corresponds in reality to 150 units.

so, 1 cm in the diagram is 150 cm in reality.

therefore we only need to multiply the sizes in the diagram by 150, and we get the real sizes.

length : 5 × 150 = 750 cm (7.5 m)

breadth : 3 × 150 = 450 cm (4.5 m)

and the perimeter is as for every rectangle :

2×length + 2×breadth = 2×750 + 2×450 = 1500 + 900 =

= 2400 cm (24 m)

Answer:

The line shifted up 8 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

FV = PMT [((1 + r)ⁿ - 1) / r]

PMT = $300

r = 0.04/12

n = 35(12) = 420

FV = $300 [((1 + (0.04/12))⁴²⁰ - 1) / (0.04/12)] = $274,119.28

I = $274,119.28 - 300(420) = $148,119.28

Answer:

The correct answers are:

B

D and

F

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

Answer:

d x 7 = 105

Step-by-step explanation:

Answer:

Option A: [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Step-by-step explanation:

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2}), [0,2\pi)[/tex]

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2sin(\frac{\theta}{2})sin(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2(\sqrt{\frac{1-cos(\theta)}{2}})(\sqrt{\frac{1-cos(\theta)}{2}})[/tex]

[tex]sin^2(\theta)=2(\frac{1-cos(\theta)}{2})[/tex]

[tex]sin^2(\theta)=\frac{2-2cos(\theta)}{2}[/tex]

[tex]sin^2(\theta)=1-cos(\theta)[/tex]

[tex]1-cos^2(\theta)=1-cos(\theta)[/tex]

[tex]-cos^2(\theta)=-cos(\theta)[/tex]

[tex]cos^2(\theta)=cos(\theta)[/tex]

[tex]cos^2(\theta)-cos(\theta)=0[/tex]

[tex]cos(\theta)[cos(\theta)-1]=0[/tex]

[tex]cos(\theta)=0[/tex]

[tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

[tex]cos(\theta)-1=0[/tex]

[tex]cos(\theta)=1[/tex]

[tex]\theta=0[/tex]

Therefore, the solutions contained within the interval are [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Helpful Tips:

Half-Angle Formula: [tex]sin(\frac{\theta}{2})=\pm\sqrt{\frac{1-cos(\theta)}{2}}[/tex]

Pythagorean Identity: [tex]sin^2(\theta)+cos^2(\theta)=1,sin^2(\theta)=1-cos^2(\theta),cos^2(\theta)=1-sin^2(\theta)[/tex]

[tex]\sin^2 \theta = 2 \sin^2 \left(\dfrac{\theta}2 \right)\\\\\implies \sin^2 \theta = 1- \cos 2 \cdot \dfrac{\theta}2\\\\\implies \sin^2 \theta = 1- \cos \theta \\\\\implies 1-\cos^2 \theta = 1 - \cos \theta \\\\\implies -\cos^2 \theta - \cos \theta = 0\\\\\implies \cos^2 \theta - \cos \theta = 0\\\\\implies \cos \theta( \cos \theta -1) = 0\\\\\\\text{Now,}\\\\\cos \theta = 0\\\\\implies \theta = n\pi + \dfrac{\pi}2\\\\\text{For n = 0,1 and}~ [0.2\pi)\\\\[/tex]

[tex]\theta = \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

[tex]\text{Again,} \\\\\cos \theta -1= 0\\\\\implies \cos \theta = 1\\\\\implies \theta = 2n\pi\\\\\text{For n= 0 and}~ [0,2\pi)\\\\\theta = 0\\\\\text{Combine solutions,}\\\\\theta = 0, \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

[tex]8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \dfrac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)[/tex]

Answer:

See below

Step-by-step explanation:

Dilation of 4

Z (0, -1) Z' (0, -4)

X (1, -1) X' (4, -4)

Answer:

25 and 57.

Step-by-step explanation:

Let the lowest number be x then the other is 2x + 7, So:

x(2x + 7) = 1425

2x^2 + 7x - 1425 = 0

2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19

We need 2 numbers whose product is -2850 and whose sum is + 7.

These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:

2x^2 - 50x + 57x - 1425 = 0  Now we factor by grouping:

2x(x - 25) + 57( x - 25) = 0)

(2x + 57) ( x - 25) = 0

x = -57, 25.

We ignore the negative as we are given that the number is positive,

x = 25 is one number and the other is 2(25) + 7 = 57.

Answer:

I think it is undefined.

Answer:

219/64

Step-by-step explanation:

x - 3 = 27/64

64(x - 3) = 27

64x - 192 = 27

64x = 27 + 192

64x = 219

x = 219/64

Answer:

[tex]x = 3.4218[/tex]

Step-by-step explanation:

[tex]x -3=\frac{27}{64}[/tex]

[tex]64(x-3)=27[/tex]

[tex]64x-192=27[/tex]

[tex]64x=27+192[/tex]

[tex]64x=219[/tex]

[tex]\frac{64x}{64} =\frac{219}{64}[/tex]

[tex]x = 3.4218[/tex]

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

Other factor is 70

Step-by-step explanation:

Let,

Other factor = x

Then,

x × 60 = 4200

x = 4200/60

x = 420/6

x = 70

∴Another factor is 70.

Answer:

Solution given

let two factor be a and b.

if one factor a=60, then b=?

we have

product of factor=4200

a*b=4200

60*b=4200

b=[tex]\frac{4200}{60}=70[/tex]

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

F(g) falls between 0 and 49.58

1

Step-by-step explanation:

true ya false you say me

Answer:

Below in bold.

Step-by-step explanation:

0.3. e^3x = 27

Taking logs of both sides:

ln (0.3. e^3x) = ln 27

ln (0.3) + ln e^3x = ln 27

ln e^3x = ln 27 - ln(0.3)

3x = ln 27 - ln 0.3

3x = ln(27/0.3) = ln 90

x = 1/3 ln 90

x = ln (90^1/3)

Approximate value of x:

= 1.499936557

= 1.500 to the nearest thousandth.

Answer:

8x

Step-by-step explanation:

3x+5x=8x

3+5=8

x is the same variable.

Answer: C

Step-by-step explanation:

Answer:

The Answer Is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

40 degrees

Step-by-step explanation:

Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.

Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.

Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40

Answer:

Negative

Step-by-step explanation:

Lets assume that B is 0.8 and C is -1.8.

0.8/-1.8 is approx. -0.44 which is a negative

Answer:

This is not a linear function, as it isn't any function because 3 has two outputs.

Step-by-step explanation:

Explained above

Answer:

1000

Step-by-step explanation:

So the taken chocolate weight equals to the original 1 box of chocolate.

Thus there are 200 x 5 = 1000g.

The orginal chocolate has 1000g each.

Answer:

the answer you're looking for is D. when you move to the left the -4 becomes -6 and when you move up 2 becomes 4.

Step-by-step explanation:

-0.5 cause decimals and fraction are not included

The probability of getting blue and white counter is 0.2275

Probability is the likelihood or chance that an event will occur

Probability = n(E)/n(S)

If the the probability of getting a red counter red red 0.35, the probability of getting a blue will be 0.65

Pr(getting blue and white counter) = 0.35 * 0.65

Pr(getting blue and white counter) = 0.2275

Hence the probability of getting blue and white counter is 0.2275

Learn more on probability here: https://brainly.com/question/24756209

Answer:

look it up in internet and find th right answers

Answer:

g(x)=3|x| is the first box

f(x)=1/3|x| is the second box

Step-by-step explanation:

you can solve these type of questions by looking at the slope which is in front of the x.

since 1/3 is smaller than 3 it's going to have lower slope resulting in 3 to incline faster

Answer:

327

Step-by-step explanation:

Answer:

The empty space in the equation doesn't make sense. We could answer this question if it gave us the sum and we solved for x. But, for the sake of the question let's get rid of the periods. The question would now be 35 + 36 + 37 + 38 + 109 + 110. When we solved the equation we would get 365.

Step-by-step explanation:

2b + 21 < 22

b is the unknown number so multiply it by 2 to get 2b then add 21, bring the less than sign and write the 22 after the less than sign

Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2