All categories

3 years ago

The information below applies to a competitive firm that sells its output for $40 per unit.

Mathematics

1 answer:

drek231 [11]3 years ago

3 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

On producing 150 units, its average total cost = $24.50

We need to find the total cost.

As we know that

$Average\ cost=\dfrac{Total\ cost}{No.\ of\ units}\\\\total\ cost=Average\ cost\times No.\ of\ units\\\\total\ cost=24.50\times 150\\\\total\ cost=\$3675$

Hence, total cost is $3675.00.

Therefore, Option 'c' is correct.

You might be interested in

A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s

inysia [295]

Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the base and H is the height of the pyramid

we have

$H=6\ units$

$V=70\ units^{3}$

substitute in the formula and solve for B

$70=\frac{1}{3}B(6)$

$B=70/2=35\ units^{2}$

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

$V=Bh$

where

B is the area of the base and h is the height of the prism

we have

$B=35\ units^{2}$

$V=70\ units^{3}$

substitute in the formula and solve for h

$70=(35)h$

$h=2\ units$

3 0

3 years ago

Read 2 more answers

If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that

pogonyaev

$Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested$

$Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)$

$Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)$

$\\\\So, \; the \; equation \; would \; be:\\180+0.055x=0.045(4500+x)$

$Step \; 1: \; Distribute \; 0.045 \; in \; the \; right \; side\\180+0.055x=202.5+0.045x\\\\Step \; 2: \; Subtract \; 0.045x \; and \; 180 \; on \; both \; sides \; to \; get \; x \; alone\\0.055x-0.045x=202.5-180\\\\Step \; 3: \; Combine \; Like \; Terms\\0.01x=22.5\\\\Step \; 4: Divide \; 0.01 \; on \; both \; sides\\\frac{0.01x}{0.01}=\frac{22.5}{0.01}\\\\Step \; 5: \; Simplifying \; fraction \; on \; both \; sides\\x=2250$

$\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250$

5 0

3 years ago

Which is greater 2/3 or 3/5

Aloiza [94]

Answer:

it is 2/3

Step-by-step explanation:

well i have to do my work but im happy i could help.

7 0

3 years ago

Read 2 more answers

I need this for sis!:D I will give thanks!

Rzqust [24]

I do believe that it is the second one I’m not 100% sure but I’m pretty sure it is

7 0

3 years ago

Tow decimals that are equivalent to 7.7.

PolarNik [594]

7.7 is equivalent to its self, and you can only make more equivalents by adding zero’s on either side, it’s better to add after decimal.

1. 7.70
2. 7.700

5 0

3 years ago