Given:
Initial population = 45,000
Decreasing rate = 2%
Time = 5 year
To find:
The population after a period of 5 years.
Solution:
Formula used:
[tex]f(t)=ae^{rt}[/tex]
where, a is initial population, r is rate and t is time.
[tex]r=\dfrac{2}{100}=0.02[/tex]
Decreasing rate represented by -0.02.
Substitute a=45000, r=-0.02 and t=5 in the above formula.
[tex]f(5)=45000e^{-0.02(5)}[/tex]
[tex]f(5)=45000e^{-0.1}[/tex]
[tex]f(5)=45000(0.904837418)[/tex]
[tex]f(5)=40717.68381 [/tex]
Approximate the value to the previous integer.
[tex]f(5)\approx 40717 [/tex]
Therefore, the population after 5 years is 40717.
Answer:
40,718
Step-by-step ex
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert. planation:
25 POINTS! factor the trinomial:[tex]x^2-2x-2[/tex]
( x − 1 + i ) ( x − 1 − i )
Step-by-step explanation:
_____________ (x-1+i)(x-1-i)
Use the distributive property to expand 0.05(50 + 40).
Answer:
4.5
Step-by-step explanation:
The image below shows the parts of the pair of similar triangles that we've solved for so far in the video. What is the length of side AB?
On picture day, the students are placed in order from tallest to shortest. Place the following students in order from tallest to shortest.
Javien is 4 2/3 feet tall
Danny is 3 11/12 feet tall
Samiya is 4 1/6 feet tall
Taylor is 4 7/8 feet tall
Answer:
4 7/8, 4 2/3, 4 1/6, 3 11/12
Step-by-step explanation:
To make it easier, convert it into decimals
4 2/3=4.666...
3 11/12=3.9166...
4 1/6=4.166...
4 7/8=4.875
The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone explain how to solve this?
Since you asked how to solve this, I will put the answer at the bottom.
You might not think the same way as I but I think in steps.
(1) Calculate how many times the bacteria divide in eleven hoursThe bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.
If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.
(2) Add the orginial size of bacteria into the equation(This part is edited)
(orginial size)*2^number of divisions
10*[tex]2^{33\\}[/tex]
=85899345920
Which is the better buy?
48-fluid-ounce container of laundry detergent for
$5.28
3-gallon container of laundry detergent for $34.56
Answer:
3-gallon container of laundry detergent for $34.56
Step-by-step explanation:
48-fluid-ounce container of laundry detergent for $5.28
5.28 : 48 = 0.11
check your work: 0.11 x 48 = 5.28
so for the first offer you will be paying $0.11 per ounce of laundry detergent.
3-gallon container of laundry detergent for $34.56
1 gallon = 128 ounces
3 gallons = 384 ounces
34.56 : 384 = 0.09
check your work: 0.09 x 384 = 34.56
for the second offer you will be paying $0.09 per ounce of laundry detergent. 3-gallon container of laundry detergent for $34.56 is a better buy because you will be paying less for each ounce of detergent.
hope this helps!
Help me ASAP pls. it means the world to me
will make brainliest answer!!
If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)
A. x-3
B. x-1
C. 5x-1
D. 5x-3
Answer:
C. 5x - 1Step-by-step explanation:
Givenf(x) = 3x-2 and g(x) = 2x+1To find (f+g)(x)Solution(f+g)(x) =f(x) + g(x) =3x - 2 + 2x + 1 =5x - 1A car-carrier trailer weighs 35,000 pounds when empty. The driver loads 7 cars on the trailer. The cars are identical except for color. The weight of the loaded trailer is 50,855 pounds. The maximum vehicle weight allowed on U.S. highways is 80,000 pounds. What number best describes the weight of one car?
Answer:
Each car weighs 2,265 pounds
Step-by-step explanation:
Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:
50,855 - 35,000 = X
15.855 = X
Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:
15.855 / 7 = X
2,265 = X
Therefore, each car weighs about 2,265 pounds.
The temperature was 12°C before the storm. During the storm, the temperature dropped 19°C. What was the temperature at the end of the storm?
Answer:
-7 degrees celsius
Step-by-step explanation:
12-19=-7
Answer:
-7
Step-by-step explanation:
12 - 19 = -7
A swimming pool has two pipes coming into it to fill it with water. One pipe takes 16 hours to fill it. The other takes 12 hours to fill it. How many hours will it take both pipes to fill the pool?
Answer:
8 hours
Step-by-step explanation:
8 hours because half of 16 is 8 and half of 12 is 6
If it takes 6 hours to fill one half then the other 2 hours would go to the other pipe making it 8 hours
which of the following functions is graphed below
Answer:
A.
Step-by-step explanation:
When X is zero y is 7.
It looks like the y intercept is 7 hard to tell in the picture
Answer:
im going to guess C
Step-by-step explanation:
Multiplying and Dividing Radicals
Simplify the following expressions.
the sum of two numbers is 45 and the different is 21.what are the numbers
Which one is bigger 7.4 or 7 2/5?
Answer:
None, They are Both Equal
Step-by-step explanation:
7 2/5 = 7.4
7.4 = 7.4
So, 7.4 = 7.4
Hence, none of them are bigger
Due today at 12:59!!!!!
Answer: Im confused?
Step-by-step explanation:
A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form
Answer:
y=3x+4
Step-by-step explanation:
4 is your y-intercept, and 3 is your slope.
The linear function shows the total cost will be y = 3x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
A taxi ride costs $4 plus an additional $3 per mile.
Let's say the number of miles is represented as x while the total cost is represented as y.
y = 3x + 4
Hence "The linear function shows the total cost will be y = 3x + 4".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
9.2x8.9= please put shown work on it please and thank you if you do then i will mark you as the brainist
Answer:
81.88 is the answer
Step-by-step explanation:
How to silver (10 points)
Answer:
there
Step-by-step explanation:
10.
TP = 20-12
TP = 8
SP = SQ
SP = 20
RQ = TP
RQ = 8
S-------15.5
20------12
12s = 310
s = 310/12
s =~25,8
11.
75--------46
100-------b
75b = 4600
b = 4600/75
b =~ 61,3
l² = 61,3² + 46²
l² = 3757,69 + 2116
l² = 5873,69
l = [tex]\sqrt{5873,69}[/tex]
l =~ 76,7
the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7
Answer:
x²=5x
x=5... probably c
A gallon of water weighs 8.34 pounds. The Rhoads family has a round, 12-foot diameter, above-ground pool. How much weight is added to the pool when it is filled with 3, 205 gallons of water?
Answer:
The amount of weight added is 26,729.7 pounds
Step-by-step explanation:
Here, we are told that a gallon of water weighs 8.34 pounds
Now, we want to find the weight of 3,205 gallons of water
Mathematically, that would be;
3,205 * 8.34 = 26,729.7 pounds
cruise ship wave 176 miles in 8 hours
18 miles per how
Answer:
22 mph
Step-by-step explanation:
blablablablablablablabla
Answer:
22 miles
Step-by-step explanation:
please have and great day and btw you are loved ok have a great day byee!!
Choose the graph that matches the inequality y < –2x + 4.
Answer:
C
Step-by-step explanation:
You know that if its < or >, the line is - - - -, not a fully dark line.
So it would be either A or C
Plot in some numbers for x
Less than would be to the left.
So it wouldn't be A, leaving us with C
Answer:
I belive this would be C
Step-by-step explanation:
Find the distance between (6,4) and (-6,-5) by using the distance formula
Answer:
[tex]\boxed {d = 15}[/tex]
Step-by-step explanation:
Use the Distance Formula to help determine the distance between two given points:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
First point: [tex](x_{1}, y_{1})[/tex]
Second point: [tex](x_{2}, y_{2})[/tex]
-Substitute both given points:
[tex](x_{1}, y_{1}) = (6, 4)[/tex]
[tex](x_{2}, y_{2}) = (-6, -5)[/tex]
[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]
-Solve for the distance:
[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]
[tex]d = \sqrt{(-12)^{2} + (-9)^{2}}[/tex]
[tex]d = \sqrt{144 + 81}[/tex]
[tex]d = \sqrt{225}[/tex]
[tex]\boxed {d = 15}[/tex]
Therefore, the distance is [tex]15[/tex].
If 5 workers complete one task in 7 days, then how many days will 7 workers take to complete the same task?
Answer: 5 days
Step-by-step explanation:
5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days
So 7 workers can do this job in
35:7=5 days
Step 3 out of 5:
Multiply
7/3 times 3/2=
7/3 times 1/2=
Answer:
Input Data :
Fraction A = 8383
Fraction B = 7272
Objective :
Find the product of fractions?
Formula :
Solution :
83×7283×72 = ?
Mutiply both numerators & denominators
83×7283×72= 8×73×28×73×2 = 566566
Simplify above fraction 566566
Common divisor of (56, 6) is 2
Divide both numerator & denominator by gcd value 2
566=56÷26÷2=283566=56÷26÷2=283
83×72=283
While at the pet store, Fred counted the number of animals in the store. For every 3 dogs in the store, there were 4 cats. Identify the equivalent ratios of dogs to cats. Select two that apply. 6:8 B 300:40 C 9:12 D 6:2
Answer:
I am thinking that it is A and C
Step-by-step explanation:
If I am right may I get a brailiest
If I am wrong I am so very sorry
Complete the equation. Answer as a fraction in its simplest form. 9xy x (2/3x)^3=(__/__)x^4y
Answer:
Fill the blank with [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]
Required
Fill in the gaps
[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]
Open Brackets
[tex]9xy * \frac{2^3}{3^3}x^3 = (--/--)x^4y[/tex]
[tex]9xy * \frac{8}{27}x^3 = (--/--)x^4y[/tex]
Multiply xy and x^3
[tex]9 * \frac{8}{27}x^4y = (--/--)x^4y[/tex]
[tex]\frac{9 * 8}{27}x^4y = (--/--)x^4y[/tex]
Divide fraction by 9/9
[tex]\frac{8}{3}x^4y = (--/--)x^4y[/tex]
By comparison, the blank will be filled with:
[tex]\frac{8}{3}[/tex]
Hence, the solution to the question is: [tex]9xy * (\frac{2}{3}x)^3 = \frac{8}{3}x^4y[/tex]
What is the value of tan c
Answer:
In trigonometry, the tangent of an angle in a right-angled triangle is equal to the ratio of opposite side and the adjacent side of the angle. Tan 30 degrees is also represented by tan π/6 in terms of radians. The exact value of tan 30° is 0.57735.
Answer the two questions below. THANKS!!
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
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Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.