The population of a town has been growing, following the equation P = 300t + 6000, where t is
years after 2010. The number of restaurants in the town has been growing according to the
equation R = 5t + 45.
Answer:
0.01 restaurants per person107.14 in persons per restaurantStep-by-step explanation:
P = 300 (2015-2010) + 6,000
P = 300(5) + 7,000 = 7 ,5 0 0
The number of restaurants prediction for 2015 is:
R = 5(2015-2010) + 45
R = 5(5) + 45 = 70
So per person, there would be:
70 Restaurants for 7,500 People that is: 70/7500
or 0.00933333333 which is 0.01 in nearest unit restaurants per person ←
per restaurant, there would be: 7500/70
or 107.14 in persons per restaurant
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Did you want us to answer the question?
Step-by-step explanation:
√25- a + √9-a=?
If √25-a - √9-a=2
Answer:
8
Step-by-step explanation:
Find the slope and the y-intercept of the graph of y=11+1.5x.
Answer:
Step-by-step explanation:
Neelam is pouring sand into a clear box to make sand art. The box is a right rectangular prism, and the base of the box is a right rectangular prism, and the base of the box is 7 in. by 2 1/2 in. She pours in red sand until the volume of the sand is 26 1/4 in.3. Then she pours in blue sand. Now the volume of the sand is 43 3/4 in.3. How much does the level of the sand rise when Neelam adds the blue sand?
The level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
It is given that:
Neelam is pouring sand into a clear box to make sand art.
The volume of the sand = 43 3/4 - 26 1/4
After simplification:
The volume of the sand = 17 1/2
The height of the sand = 17 1/2 ÷ (7x 2 1/2)
After solving:
The height of the sand = 1 inch
Thus, the level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.
Learn more about the volume here:
https://brainly.com/question/16788902
#SPJ1
2x +1=x+3 plzzz give the answer
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2
URGENT PLZ HELP
find the diameter of circle Q if angle PQR measures 31° and the arc length of PR is 9 cm
Answer:
33.4 cm
Step-by-step explanation:
Given:
θ = 31°
Arc length of PR = 9 cm
Required:
Diameter
Solution:
Diameter of the circle = 2*radiius = 2*PQl
Arc length = θ/360 × 2πr
Plug in the values into the equation
9 = 31/360 × 2πr
9 = 0.54r
9/0.54 = r
16.6666667 = r
r = 16.7 cm
Radius = 16.7 cm
Therefore,
Diameter = 2*radius = 2*16.7 = 33.4 cm
The
of a plane is 2.
Answer:
The seat no of a plane is 2
Which is NOT the formula for an area of a rectangle?
Group of answer choices
A = 1/2 X h X (Base 1 + Base 2)
A = L X W
A = bh
A = Base X Height
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
x^2+ 3 has a value of 28. What term in the sequence has a value of 28?
Answer:
5th term
Step-by-step explanation:
x^2 +3 = 28
Subtract 3 from each side
x^2+3-3 =28-3
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
(x could be -5, but there are not usually negative terms in a sequence)
Answer:
The value of X1 is -5, X2 is +5.
Pls help :( I’m so stuck in this
Answer:
99.6 ft²Step-by-step explanation:
Three faces are equal triangles with:
base = 8 units, height = 6 ftThe base is a triangle with:
base = 8 ft, height = 6.9 ftSurface area is sum of areas of 4 faces:
S = 3*(1/2*8*6) + 1/2*8*6.9 = 99.6 ft²If the half life of a substance is 4 weeks, how long will it take for 400 mg of this substance to decay to 25 mg?
Answer:
I believe the answer is 16 weeks.
Step-by-step explanation:
Sorry for the wait
find the surface area of this cylinder. geometry hw help
Answer:
301.59 units or 301.6 after rounding
A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
A personal identification number (PIN)
consists of four digits. Consider the
PIN 0005 equal to the number 5, etc. Find
the probability that a PIN number is:
a equal to 0000
b less than 8000 and more than 7900
c divisible by 10
d at least 13.
Using the probability concept, it is found that there is a:
a) 0.0001 = 0.01% probability that a PIN number is equal to 0000.b) 0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.c) 0.1 = 10% probability that a PIN number is divisible by 10.d) 0.9988 = 99.88% probability that a PIN number is at least 13.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A personal identification number (PIN) consists of four digits, and considering they can repeat, the total number of PINs is:
[tex]T = 10^4 = 10000[/tex]
Item a:
A PIN equals to 0000 is one outcome, hence:
[tex]p = \frac{1}{10000} = 0.0001[/tex]
0.0001 = 0.01% probability that a PIN number is equal to 0000.
Item b:
In this interval, there are 8000 - 7900 - 1 = 99 possible values, hence:
[tex]p = \frac{99}{10000} = 0.0099[/tex]
0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.
Item c:
One in ten numbers are divisible by 10, hence:
[tex]p = \frac{1}{10} = 0.1[/tex]
0.1 = 10% probability that a PIN number is divisible by 10.
Item d:
12 numbers, from 1 to 12, are less than 13, hence 10000 - 12 = 9988 are at least 13, hence:
[tex]p = \frac{9988}{10000} = 0.9988[/tex]
0.9988 = 99.88% probability that a PIN number is at least 13.
You can learn more about the probability concept at https://brainly.com/question/15536019
A new pop-up restaurant serving high-end street tacos just opened and is expected to have high demand based on the chef's prior restaurant experience. The pop-up restaurant has only one window where customers order and receive their food. It takes an average of 5 minutes to serve a customer. There is no seating available so the customer exits the system after receiving their order.
Due to the creative marketing strategy of "hiding" the restaurant location, only 10 customers arrive per hour. There is no specific pattern to the distribution of time between arrivals or service times, but from historical data from prior pop-ups, the coefficient of variation for time between arrivals is 2.58 and service time is 0.75.
1. What type of queuing model is this process?
a. single-channel, multi-phase.
b. multi-channel, multi-phase.
c. single-channel, single-phase.
d. multi-channel, single-phase.
2. How many customers would you expect to find waiting in line?
a. 3.
b. 18.
c. 10.
d. 0.
e. 7.
f. 15.
g. 12.
3. For new customers, how long do they have to wait in total before they leave with their food?
a. 45 minutes.
b. 20 minutes.
c. 50 minutes.
d. 95 minutes.
e. 15 minutes.
f. 100 minutes.
g. 40 minutes.
h. 10 minutes.
i. 0 minutes.
j. 90 minutes.
Answer:
1. c
2. f
3. d
Step-by-step explanation:
This type of queuing model is an example of "single-channel, single-phase" process.
However, from the information given:
The inter-arrival rate = 10 customers per hour
Arrival time = 6 minutes
Service time = 5 minutes
∴
utilization = service time/arrival time
= 5/6
Time on queue [tex]T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}[/tex]
[tex]T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}[/tex]
[tex]T_q = 25 \times 3.60945[/tex]
[tex]T_q = 90.24 \\ \\ T_q \simeq 90 \ mins[/tex]
Thus, customer waiting in the queue line is;
[tex]= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}[/tex]
Thus, new customers will have to wait in a total time of;
= waiting time + service time
= 90 + 5
= 95 minutes.
PLS HELP 20 PONTS! which expression is equivalent to -2.5(1-2n) - 1.5n. select all that apply
Answer:
B
Step-by-step explanation:
Answer:
-2.5 + 3.5 n
hi please help me with this im learning how to play gutiar rn
Answer:
1. 1/3
2. 19/8
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
ig its box B if it was wrong sorry! but yes ig its B
How many 1/2 liter cups can be filled with 500 mil liters of liquid?
Answer:
1
Step-by-step explanation:
we know,
1/2 liter=500mil
so,1 cups can be filled with 500 mil liters of water
it takes 43 pounds of seed to completely plant a 6 acre field How many acres can be planted per pound of seed?
Answer:
0.138 acres per pound of seed
Step-by-step explanation:
21.evaluate 22.find dy/dx
9514 1404 393
Answer:
y' = -y/x
Step-by-step explanation:
It looks like you have ...
e^z -z = 0 . . . . . where z = xy
Differentiating with respect to x gives ...
z'·e^z -z' = 0
z'(e^z -1) = 0
The zero-product rule tells you this is true for e^z = 1, which is not useful for finding y', and for z' = 0, which is.
z = xy
z' = y +xy' = 0
y' = -y/x
_____
Additional comment
There appear to be no real values of x and y that will make your equation true.
Mrs. Flores asked her students to write a number, its opposite, and its absolute value, in that order. Four of her students turned in their work below.
Student Work
Keenan -1285, -1285, 1285
Sarah 1416, -1416, 1416 Ahab -1383, 1383, -1383
Ji-yoon 1574. -1574, -1574
Which student correctly listed a number, its opposite, and its absolute value in the correct order?
Answer:
Sarah is correct
Step-by-step explanation:
Required
Which of the students is correct
Let a number be x,
Given what the teacher asked the students to do, the solution is:
[tex]Number = x[/tex]
[tex]Opposite = -x[/tex]
[tex]Absolute = |x|[/tex]
Only Sarah got this correctly; others are incorrect.
The proof is as follows.
For Sarah
[tex]Number = 1416[/tex]
[tex]Opposite = -1416[/tex]
[tex]Absolute =|1416| = 1416[/tex]
So, the numbers will be: 1416, -1416 and 1416
Other students are incorrect
(Geometry) Will Give Brainy ( look at picture )
PLZ HELP, BEST ANSWER WILL BE CHOSEN FOR BRAINLIEST!!!!!
Answer:
A square root of 80 m
Step-by-step explanation:
Answer:
A- square root of 80 m
Step-by-step explanation:
we will do 4 power 2 becuse we have two four then plus 8 power 2 becuse we have two eight equall C power 2
[tex]4^{2} +8^{2}=C^{2}[/tex]
Then will be 80 equal C powe 2
[tex]80=C^{2}[/tex]
Then C will equall roots 80
[tex]\sqrt{80}m[/tex]
My car travels an average 12.3 km on each litre of petrol. What distance willI travel on 105 litres? *
Answer:
1291.5km
Step-by-step explanation:
12.3*105=1291.5km
use the distributive properties to remove the parenthesis from the equation 10(2/5+2y)
Questions:
You can save $200 monthly to put into your retirement account and you have 35 years until you retire. Assume an 8% rate of return and a monthly compounding period.
a. How much money will you have in retirement?
b. What things could you change to increase the amount you will have in retirement?
c. Make just one change (amount, time, or interest rate) and write down how much money you will now have in retirement.
Answer:
Step-by-step explanation:
Q1 .
Money saved every month = $200
Time period until you retire = 35 years
Rate of Interest = 8%
The money is compounded monthly.
a). Amount for retirement = Saving annuity
Saving or making a series of payments at regular intervals is called annuity.
Annuity formula is :
P_{n} = d((1 + r/k)^{nk} - 1)/(r/k)
PN is the balance in the account after N years.
d is the regular deposit (the amount you deposit each month)
r is the annual interest rate in decimal form(R/100)
k is the number of compounding periods in one year
Here d= $200 , r = 0.08 , n = 35 years , k = 12 (compounded monthly)
P_{n} = 200((1 + 0.08/12)^{(35*12)} - 1)/(0.08/12)
= $ 458776.50
b). Looking at the formula used in above option we can -
Increase number of years to increase retirement amount
Increase the monthly amount deposited
Increasing rate of interest also increases the amount
Compounding Annually , half yearly or quaterly will decrease the amount
c). Let us change the amount from $200 to $300 . Then amount will be
P_{n} = d((1 + r/k)^{nk} - 1)/(r/k)
P_{n} = 300((1 + 0.08/12)^{(35*12)} - 1)/(0.08/12)
= $ 688164.75
you will get a loan from a bank for $5000. The interest rate will be 8% and the loan will be for 3 years. You will need to calculate the total amount that you would be paying back to the bank.
If you were to get a 10% pay increase, write and solve an equation to show how many hours you would need to work to pay for your trip?
Answer:
5000×8×3/100
1200
1200×10/100
120