a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars
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b. Write the revenue function:: R(x) = 300x where x is number of guitars
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c. Find the profit function.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = [ R(x) ] - [ C(x) ]
P(x) = [ 300x ] - [ 100x+100,000 ]
P(x) = 300x - 100x-100,000
P(x) = 200x - 100,000
The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.
Solve 125x - 100,000 = 0
125x = 100,000
x = 800 (# of guitars made and sold)
Answer:
x3squared-3x2squared-18x
Step-by-step explanation:
1 Expand by distributing terms.
({x}^{2}-6x)(x+3)(x
2
−6x)(x+3)
2 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
{x}^{3}+3{x}^{2}-6{x}^{2}-18xx
3
+3x
2
−6x
2
−18x
3 Collect like terms.
{x}^{3}+(3{x}^{2}-6{x}^{2})-18xx
3
+(3x
2
−6x
2
)−18x
4 Simplify.
{x}^{3}-3{x}^{2}-18xx
3
−3x
2
−18x
Answer:
21/50 or 21:50
Step-by-step explanation:
1km = 1000m
That means one meter is equal to 1/1000 of a km.
420 meters is 420/1000 of a km which is equal to 42/100 = 21/50 or 21:50
Is it right?
Also can I have Brainiest
Answer:
2403.2
Step-by-step explanation:
We get the length of the hypotenuse, and the base angle. To find the length of the base, we use the cosine of 16° since it is equal to the adjacent side length/ hypotenuse side length or cos 16°= x/2500. The isolate x by multiplying both sides by 2500. The cos 16° is around 0.96126, multiplied by 2500 (cos 16°(2500)) = 2403.1
We have FIVE cats that each ate 1/4 cup of canned food.
Then, the five of them together ate:
5 times 1/4 cup This in mathematical expression is a profduct of an integer value (5) times the fraction (1/4) which we know how to multiply based on the problems we solved a few minutes ago:
5 * 1/4 = 5/1 * 1/4 = (5 * 1) / (1 * 4) = 5/4 cups
This answer can also be written as a MIXED number given that 5/4 is an IMPROPER fraction (a fraction with numerator larger than the denominator)
5/4 = 1 1/4
Not sure what answer your teacher would prefer. It depends on whether he/she wants you to use fractions or mixed numbers.
