Answer:
Population 15 years later P(15) = 100 + 50/π
Population 35 years later P(35) = 200 + 50/π
Population any t ≥ 0 P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5)
Step-by-step explanation:
P´(t) = 5 + 10*sinπt/5 ⇒ dP/dt = 5 + 10*sinπt/5
dP = ( 5 + 10*sinπt/5 ) *dt
P(t) = ∫ ( 5 + 10*sinπt/5 ) dt
P(t) = 5*t + 10 * ∫ sinπ*t/5* dt
P(t) = 5*t - 10*5/π *cos πt/5 + k
To determine k t = 0 P(t) = 35
P(0) = 5*0 - 50/π (1) + k
35 = - 50/π + k
k = 35 + 50/π and
P(t) = 5*t + 10*cos(π*t/5) + 35 + 50/π
b)P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5) (1)
a) Population 15 years later
P(15) = 35 + 50/π + 5*15 - 10
P(15) = 100 + 50/π
Again from equation (1)
P(35) = 35 + 50 /π + 5*35 + 10*cos(35*π/5)
P(35) = 35 + 50/π + 175 + 10*cos (7*π )
P(35) = 210 + 50/π - 10
P(35) = 200 + 50/π
Rearrange
c=5a2 – b
to make a the subject.
Answer:
5(a-b)=2c
so if there
so
Translate and solve: fifty times n is at most 500.
Answer:
n must be less than or equal to 10
Step-by-step explanation:
8x-5y=37 x=2y+6 substitution
Answer:
Solve for the first variable in one of the equations, then sub the result into the other equation.
point form- (4,-1)
equation form- x=4, y=-1
Step-by-step explanation:
I HIGHLY recommend math-way to help you with problems like this :)
hope this helps!
what is the name for the marked?
Answer:
C not sure though
Step-by-step explanation:
how do you create a graph for linear equation? I need to graph 3x=4
Answer:
Look at the graph below, hope this helped.
Step-by-step explanation:
A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?
Answer:
The measurement of the width is 10cm.
Mel earns $15 per hour working at a bakery. How much does he earn if he
works for 5 hours?
A. $30
B. $155
C. $75
O D. $105
Find the interest rate for a $4100 deposit accumulating to $5994.78, compounded monthly for 6 years.
Answer:
r = [1 + (i/n)]n - 1. Where: r =
Step-by-step explanation:
Work out the surface area of this cylinder 8.2cm 17.5cm
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
divide 18 by 3, then add 9
Answer:
15
Step-by-step explanation:
18 ÷ 3 = 6
6+3 =15
hope this helps
please help i am really struggling
Answer:
greater than...
equal
Step-by-step explanation:
welcome
At the sleepover, Drew's friends ate 3 3/9 cups of ice cream. The next day, his family ate 2 4/9 cups more. How many cups did they eat altogether?
4 2/3 divided by 1/2 in fraction form
Answer:
9 1/3
Step-by-step explanation:
4 2/3 = 14/3
14/3/1/2
14/3 x 2/1
28/3= 9 1/3
what is 2+2-3+9-5+3=
Answer:
8
Step-by-step explanation:
Answer: the answer is 8
Step-by-step explanation: hope this helps :)
PLEASE HELP!!!!
A taxi charges $4.00 for the first mile plus $1.25 for each additional mile.
On a fare of $16.50, how long was the ride?
Answer:
The fare ride was 11 miles.
Step-by-step explanation:
So it says that for the first mile the taxi charged $4.00 okay? so then it says for each additional mile he charges $1.25 so what i did was add the $4.00 and then kept on adding $1.25. so $4.00 plus $1.25 equals $5.25 so continue adding $1.25 till you get to exactly $16.50.. Count up exactly how many "$1.25's" it took to get to $16.50 so it would be exactly 10 times you had to add $1.25 to it and we cant forget the first mile which was $4.00 so thats an additional mile so then it would 11 miles !
What force is affected when the distance between two objects remains the name and the mass of each object is doulod?
HELP quick
Answer:
gravitational force or A the first one
Step-by-step explanation:
Answer:
Step-by-step explanation:
it a
Angle A is circumscribed about circle O. What is the measure of A?
Answer:
88°
Step-by-step explanation:
Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.
Answer:
88
Step-by-step explanation:
11 ÷ 3/4=
what dose it means
Answer:
14.66 or 14.7
Step-by-step explanation:
if we solve the equation we get 14.6666 but since it goes on and on we round and put it on 14.7
Answer:
Step-by-step explanation:
11 ÷ 3/4 = [tex]11 * \frac{4}{3}[/tex]
[tex]=\frac{44}{3}\\\\=14\frac{2}{3}[/tex]
Please solve the question below 5
Answer:
Answer is B
Step-by-step explanation:
P(x<2) - P(x<-2) = .9772 - .0228 = .9544
= 95%
I need help plz I will mark brainliest
if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8
Answer:
11/36
Step-by-step explanation:
We have 36 possible outcomes when rolling a pair of dice.
Only 1 outcome gets both 3's. (3 3)
For the sum to be greater than 8, there are 10 outcomes.
(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)
The probability is therefore (1+10)/36=11/36.
After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?
Answer:
I think its 90
Step-by-step explanation:
3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45
you need 90 more analysts to have a 1 to 1 ratio
Question Help 3.1.PS-10 The Stock Market Alexander is a stockbroker. He earns 14% commission each week. Last week he sold $7,100 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011? Last week, he made $ in commission.
$537 I looked at it and I know this is the answer and I checked
W what is the volume of this cube?
cuble centimeter
6 cubic centimeters
1 cm
(1) 3 cubic centimeters
1 cm 1 cm
9 cubic centimeters
Answer:
1 cubic centimeter
Step-by-step explanation:
volume = 1 × 1 × 1 = 1 cm²
How can we find th volume of this fish tank
Answer:
From the length (owo)
Step-by-step explanation:
All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.
Answer: look at the picture and you will see the answer
Step-by-step explanation: hope this help
Will mark brainliest!!Solve for x and round to the nearest tenth
Answer:
right triangles are 90 degrees sooooo
add 39 plus 27, that's 66
90 minus 66 issss 24
A chef used one-fifth of a bag of potatoes for a meal. If the potatoes fed 2 people, what fraction of the bag did each person get? (Will give brainliest)
Answer:
They each got 1/10th of the bag
Step-by-step explanation:
you just divide 1/5th by 2 which is 1/10
A car travels 120 miles on 2 gallons of gas. How far does the car travel on 1 gallon of gas? *
Answer:
60 miles
Step-by-step explanation:
120/2=60 or 60x2=120
Answer:60 miles
Step-by-step explanation:
120/2=60
All flour from five bags with 3/8 lbs of flour in each was divided into equal parts to make 7 loaves of bread. How can you calculate the amount of flour used for each loaf? select all that apply
was divided into equal parts to make 7 loaves of bread. How can you mount of flour used for each loaf? select all that apply
Step-by-step explanation:
Answer:
B, C, F
Step-by-step explanation:
C = 3/8 divided 7 times 5. 3/8 lbs of flour in each was divided into equal parts to make 7 loaves. 3/8 divide by 7. Since there are 5 bags, times 5.
B = 3/8 times (for the five bags) times 5 divided by 7 samething from C.
F = You know the pattern now. Hint: B is the answer...
Heather is a cashier. She can ring up 121 customers in 9 minutes.
At this rate, how many minutes does it take her to ring up 4 customers
Answer:
In four minutes Heather can ring up 52 maybe even 53 customers.
Step-by-step explanation:
To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)