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lora16 [44]
3 years ago
15

The point at which a company's costs equal its revenues is the break-even point. C represents the cost, in dollars, of x units o

f a product and R represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That is, find the value of x for which c=r.
c=16x+32000 and r=18x
How many units must be produced and sold in order to break​ even?
Mathematics
1 answer:
kondaur [170]3 years ago
8 0
Okay, so we know it is going to be more than 32000, right?

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Determine the value of a and b so that x^4 6x^3 +7x^2+ax+b is a perfect square
posledela

Step-by-step explanation:

(Ax² + Bx + C)²

= (Ax² + Bx + C)(Ax² + Bx + C)

= Ax⁴ + 2ABx³ + 2ACx² + 2BCx + C².

By Comparing Coefficients, we have:

A = 1

2AB = 6

2AC = 7

2BC = a

C² = b

Solving them we get A = 1, B = 3 and C = 3.5.

Therefore a = 2BC = 2(3)(3.5) = 21,

b = C² = (3.5)² = 12.25.

3 0
3 years ago
Find the percent of change from $40 to $50.
andrezito [222]

Answer:

125%

Step-by-step explanation:

so you are increasing by $10, and $10 is 25% of $40, so the percent change is 125%

3 0
3 years ago
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Solve for x. Show the equation you used and your work.
nasty-shy [4]
Here, You need to apply "Proportionality Theorem"
According to this theorem, the ratio of components of a leg would be equal to the ratio of corresponding components of another leg.

In mathematical form, 
AB/BD = AC/CD

Substitute their values, 
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In short, Your Answer would be 27

Hope this helps!
5 0
4 years ago
Помогите, пожалуйста
Cerrena [4.2K]

1.

6 - 2х² = 6 - 2(-8)² = 6 - 2(64) = 6 - 128 = -122

2.

\displaystyle\tt a^{11}\cdot a^{14}=a^{11+14}=a^{25}\\\\a^{18}:a^{14}=a^{18-14}=a^4\\\\(a^5)^4=a^{5\cdot4}=a^{20}\\\\(5x)^4=5^4\cdot x^4=625x^4\\\\\bigg(\frac{a}{3}\bigg)^6=\frac{a^6}{3^6}=\frac{a^6}{729}

3.

\displaystyle\tt \frac{14^{16}\cdot14^{6}}{14^{21}}=14^{16+6-21}=14^1=14\\\\\\ \frac{7^{8}\cdot7^{5}}{7^{11}}=7^{8+5-11}=7^2=49\\\\\\ (12^2-11^2)^2+(6^5+2^9)^0=(144-121)^2+1=23^2+1=529+1=530

4.

\displaystyle\tt 3^{8x}=81\\\\3^{8x}=3^4\\\\8x=4\\\\x=\frac{4}{8}=\frac{1}{2}=0.5

5.

\displaystyle\tt \frac{64^{6}}{4^{4}\cdot4^{16}}=\frac{(4^3)^{6}}{4^{4+16}}=\frac{4^{3\cdot6}}{4^{20}}=\frac{4^{18}}{4^{20}}=\frac{1}{4^{2}}=\frac{1}{16}

5 0
4 years ago
HALP PLZ ASAP. I REALLY NEED THIS QUICK
Zarrin [17]
188 - 80 = 108
m = 108
6 0
4 years ago
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