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3 years ago

How do you write the equation for 4.

Mathematics

1 answer:

Readme [11.4K]3 years ago

8 0

This is an exponential growth problem of the form:

F=Ir^t, F=final amount, I=initial amount, r=rate, t=time

In this case:

F=50(1.08^t)

F(17)=50(1.08^17)

F(17)=$185.00

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A hotel rents 210 rooms at a rate of $ 60 per day. For each $ 2 increase in the rate, three fewer rooms are rented. Find the roo

lidiya [134]

Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

7 0

3 years ago

If you throw 3 dice, the probability of getting 3 sixes is 0.5%. The probability of getting no sixes is 57.9%. Find the probabil

PtichkaEL [24]

Answer:

A) 99.5%

B) 42.1%

Step-by-step explanation:

A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%

B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%

7 0

2 years ago

Round 45,122 to the nearest hundred

OverLord2011 [107]

The answer is 45,100

6 0

3 years ago

the graph y= |x| is shifted up by 7 units and to the left 8 units. what is the equation of the new graph?

Marta_Voda [28]

<h3>Answer:</h3>

$\large\boxed{y= |x+8| +7}$

<h3>Step-by-step explanation:</h3>

in this question, we're trying to find the equation of the new graph.

We know that:

The current equation is y= |x|
It is shifted up by 7 units
Moves to the left by 8 units

With the information above, we can solve the question.

When we shift something up, we would represent it as our "y" variable", due to the fact that it doesn't intervene with x or the x axis.

Your equation should currently look like this:

y= |x| + 7

We also know that the equation moves to the left 8 times.

This is related to the x axis, so we would change what's inside the absolute value.

We know that if is shifted left, we would add. Therefore, we would add 8 inside the absolute value.

Your equation should look like this:

y= |x + 8| + 7

Your final equation should be y= |x + 8| + 7

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

6 0

3 years ago

Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!

Vsevolod [243]

Answer:

It's B.

Step-by-step explanation:

6 0

3 years ago