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3 years ago

Is 40/1000 equivalent to 40%

Mathematics

2 answers:

blagie [28]3 years ago

5 0

No. 40/1000 is 4%. 40/100 is actually 40 percent.

V125BC [204]3 years ago

3 0

No, 40/1000 is equal to 4%. 40/100 or 400/1000 would be 40%

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charla wants to determine the vertex of the function f(x)=x^2-18x+60 by changing the function into vertex form.

Vlad1618 [11]

$x^2-18x+60 =\\
x^2-18x+81-21=\\
(x-9)^2-21$

The vertex is $(9,-21)$

7 0

3 years ago

You are asked to recommend whether a firm should make or purchase product A. The following are data concerning the two options.

MArishka [77]

Answer:

a. 6000 units

b. The firm should make the product

2. $ 184200

3. $ 197500

Step-by-step explanation:

a. When is someone indifferent towards buying something? In this case when the cost in dollars is the same. The Break Even Point <u><em>(BEP)</em></u> makes sense when the firm is indifferent between purchasing it or manufacturing it because the cost of either one or the other is the same. We know the cost of purchasing it ($25 per unit), now we would have to know the cost of producing it with the given data.

Cost of production = Fixed cost + Variable cost

Fixed cost = Rental + labor

Fixed cost = 39200 + ( 5 Operator * 5 days * 8 hours * $14 per hour)

Fixed cost = 39200 + 2800

Fixed cost = 42000

Variable cost = $18 u u (units)

Cost of production = 42000 + 18u

When does this cost of production is equal to the cost of purchase?

when

Cost of production = Cost of purchase

42000- 18u = 25u

42000 = 25u - 18 u

42000 = 7u

u = 42000/7

u= 6000

b. The firm should make the product because the cost would be cheaper than purchasing it. It costs 184200 dollars to produce 7900 units vs 197500 dollars when buying them.

2. The cost of production is

Cost of production = 42000 + 18u

Cost of production = 42000 + 18(7900)

Cost of production = 42000 + 142200

Cost of production = 184200

3. The cost of purchase is

Cost of purchase = 25u

Cost of purchase = 25(7900)

Cost of purchase = 197500

3 0

3 years ago

640, 160, 40, 10, ...

WARRIOR [948]

Answer:

Option 3 and 5 are correct

Step-by-step explanation:

We have given a geometric series 640,160,40,10....

Common ratio of geometric series is $r=\frac{a_2}{a_1}$

$r=\frac{160}{640}=\frac{1}{4}$

Here our common ratio is less than zero

It will show the graph of exponential decay

Hence, option 5 is correct.

The general term of geometric series is $a_n=a\cdotr^(n-1)$

Domain will be all natural numbers since, geometric series take only natural numbers.

Here, values of "n" is domain

Hence, option 3 is correct.

Range can be any positive real numbers not only natural number

Range is the value of $a_n$

Hence, option 4 is discarded.

Graph can not be linear of a geometric series being exponential

Hence, option 2 is discarded.

Option 1 is discarded because it is exponential decay function so it can not be exponential growth.

Therefore, Option 3 and 5 are correct.

4 0

3 years ago

Read 2 more answers

Please help I will give out brainliest

Nitella [24]

Answer:

i)x=0,x=1

ii)

$\frac{2}3} + \frac{\sqrt{40} }{6} \\\frac{2}3}-\frac{\sqrt{40} }{6}$

Step-by-step explanation:

so I did not use the graphs actually.

for the answer to question i), i wrote out the equation as given:

3x^2-3x+2=2

then, i subtracted the two from the right side of the equation to make the equation set equal to 0, and I got:

3x^2-3x+2-2=+2-2, which becomes 3x^2-3x=0

then, I used the quadratic method of taking out the greatest common factor, which in this case is 3x, and the equation becomes:

3x(x-1)=0

finally, for this equation, I set 3x=0 and x-1 =0 to get the solutions to this equation, as shown below

3x=0(divide both sides by 3 to get)x=0

x-1=0(add 1 to both sides to get)x=1

now for the second equation, I had no other choice but to use the quadratic formula to find the solutions.

so I set up the quadratic formula as shown:

$\frac{-(-4)+ or -\sqrt{(9-4)^2)-4(-2)(3)} }{2(3)}$

from there the equation gets simplified down to:

$\frac{4+ or -\sqrt{16-4(-6)} }{6}$

simplifying the formula even further gives us:

$\frac{4+ or -\sqrt{40} }{6}$

if we simplify the equation one last time, we get:

$\frac{2}{3} + or -\frac{\sqrt{40} }{6}$

therefore, the solutions to this equation are:

$\frac{2}{3} +\frac{\sqrt{40} }{6}\\ \frac{2}{3} - \frac{\sqrt{40} }{6}$

8 0

3 years ago

If L mCB=[?]* helpppp pleaseee

Zarrin [17]

Answer:

80°

Step-by-step explanation:

$\angle COB$ is central angle and arc BC is the corresponding arc.

$\therefore \: m (arc \: CB) = m\angle COB \\ \\ \therefore \: m (arc \: CB) =80 \degree$

8 0

3 years ago