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yKpoI14uk [10]
3 years ago
13

How many weeks are in 3 years​

Mathematics
2 answers:
kondor19780726 [428]3 years ago
6 0
156.53 weeks are in 3 years
ycow [4]3 years ago
5 0

Answer:

156.429

Step-by-step explanation:

52.1428571 in one year x 3

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What is the prime factorization of 60
jeka57 [31]

Answer:

2*2*3*5

Step-by-step explanation:

We need to factor 60 until it is prime numbers

60 = 12*5           5 is prime 12 is not

     =3*4   *5       3,5 prime   4 is not

    = 3 *2*2 *5     2,3,5 are prime

Rearranging the order

    =2*2*3*5

                     

5 0
3 years ago
An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many hours does it ta
goldfiish [28.3K]
C) 3 gallons per hour
4 0
3 years ago
A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate off
GuDViN [60]

Correct question is;

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week

A) Find the demand function (price p as a function of units sold x).

p(x)=______

(B) How large a rebate should the company offer the buyer in order to maximize its revenue?

$=_____

Answer:

A) p(x) = (-1/10)x + 590

B) Rebate = $170

Step-by-step explanation:

A) We are told that p(x) is the demand function and x is the number of TV sets sold per week.

Now, since for each $21 rebate offered, the number of sets sold increases by 210 per week, it means that the slope here of this demand function is; m = -21/210 = -1/10

Now, he has been selling 1400 TV sets a week at $450 each. This means; p(1400) = $450

Thus, the demand function will be;

p(x) - 450 = (-1/10)(x - 1400)

Expanding the RHS;

p(x) - 450 = (-1/10)x + 140

Add 450 to both sides to get;

p(x) = (-1/10)x + 140 + 450

p(x) = (-1/10)x + 590

B) Formula for revenue is;

R = price × quantity sold

Our demand function is p = (-1/10)x + 590

Making x the subject, we have;

x = 5900 - 10p

x is quantity sold.

Thus,

R = p(5900 - 10p)

R = 5900p - 10p²

Maximum price will occur at dR/dP = 0

Thus;

dR/dP = 5900 - 20p

At dR/dP = 0,we have;

20p = 5900

p = 5900/20

p = $280

Thus, rebate = 450 - 280 = $170

6 0
2 years ago
A function is given. h(t) = t2 + 3t; t = −1, t = 2
Arlecino [84]

Answer:

(a) The net change of the function is 12.

(b) The average rate of change of the function 4.

Step-by-step explanation:

The average rate of change of function f(x) over the interval a\leq x\leq b is given by this expression:

average rate of change =  \frac{net \:change \:in \:y}{change \:in \:x} = \frac{f(b)-f(a)}{b-a}

It is a measure of how much the function changed per unit, on average, over that interval.

Given:

h(t)=t^2+3t\\\\t=-1\\t=2

(a) To find the net change of the function, first we calculate the values of h(2) and h(-1)

h(-1)=(-1)^2+3(-1)=-2\\\\h(2)=(2)^2+3(2)=10

The net change is simply the difference

h(2)-h(-1)=10-(-2)=12

(b) The average rate of change takes the net change and divides it by the change in the t value.

\frac{12}{2-(-1)} =\frac{12}{3}=4

5 0
3 years ago
Read 2 more answers
A team won 9 of its first 12 games. At that rate, how many games will the team win if it plays 64 games in all?
Feliz [49]
9 out of 12 = 9/12 which can be simplified to 3/4.  So the team wins 3/4 of its games.  3/4 of 64 = 64 divided by 4 = 16.  16 x 3 = 48. 
3 0
3 years ago
Read 2 more answers
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