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Rina8888 [55]
3 years ago
9

A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that

if they set the price at x dollars, they will sell f(x)=1220−5x phones. Therefore, the company's revenue is x⋅(1220−5x). Find the price x which will maximize the company's revenue.
Mathematics
1 answer:
noname [10]3 years ago
3 0

Answer:

$122

Step-by-step explanation:

If we want the maximized value, we need to differentiate the function and set it equal to 0, then solve for x.

We want to maximize revenues, so we call the revenue function r(x) and differentiate, equate to 0, and solve:

r(x)=x(1220-5x)\\r(x)=1220x-5x^2\\r'(x)=1220-10x\\0=1220-10x\\10x=1220\\x=122

Thus, $122 will maximize the revenue.

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Multiplying and simplify radicals!
astra-53 [7]

Answer:

10√5 - 5√2

or

5(2√5 - √2)

Step-by-step explanation:

Given:

2√5(5 - 5√5)

Required:

Multiply and simplify

Solution:

2√5(5 - 5√5)

Apply distributive property by multiplying each term in the bracket by 2√5

2√5*5 - 2√5*5√5

2*5√5 - 2*5√5*√5

10√5 - 10√25

10√5 - 10*5

10√5 - 50

10√5 - (25*2)

10√5 - 5√2

Or

5(2√5 - √2)

3 0
3 years ago
If $1,000 is invested in an account that pays 5% interest compound annually, an expression that represents the amount in the acc
KengaRu [80]
Hello! So the formula for compound interest is P(1 + r)^t, where r = rate, P = principal, and t = time (years). C is out, because you multiply the rate and principal together to get the price, not add. You raise the decimal to a certain power, based on the amount of years. You add 1 to the rate. 5% in decimal form is 0.05 and you must add 1 to the amount, which eliminated B. The only answer that works is A, because it shows the correct formula. The answer is A.
8 0
4 years ago
Read 2 more answers
39.2 is what percent p of 112
madam [21]
39.2 is what percent p of 112

39.2/112

39.2 ÷ 112 = 0.35

Convert to percent:-

0.35 × 100 = 35
35%

3.92 is 35% of 112.
3 0
4 years ago
The larger of two consecutive odd integers is three times the smaller. What is their sum?
Darya [45]
X=y+2
x=3y
2x=4y+2
4y+2=2(y+2)
4y+2=2y+4
2y+2=4
2y=2
y=1
x=3
1+3=4

Their sum is 4

Hope this helps :)
4 0
3 years ago
Please Help, Thanks!!
diamong [38]

Answer:

505.8

Step-by-step explanation:

4215x0.12=505.8

4 0
3 years ago
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