Answer:
The amount is $8358.7 and the interest is $3858.7.
Step-by-step explanation:
After experiencing a period of rapid increase beginning in 2005, the populations of swallows in two different national parks level off. The approximate populations are modeled here, where x is time, in years, since 2005. Find the rates of change in population for both parks between 2009 and 2014, and determine which park showed faster population growth during those years. HINT: It's not C. GRAPHS BELOW
A. Park B showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year.
B. Park A showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year.
C. Park A showed faster growth between 2009 and 2014, at an average rate of 120 swallows per year.
D. Park B showed faster growth between 2009 and 2014, at an average rate of 120 swallows per year.
Answer: D. Park B showed faster growth between 2009 and 2014, at an average rate of 120 swallows per year.
Step-by-step explanation:
I did the math
The Park B showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year i.e. option A.
What is average rate?The average rate is defined as a measure of how much the function changed per unit, on average, over that interval.
We have,
x is time, in years, since 2005,
and,
f(c) is population in hundreds.
Now,
For Park A,
at x = 4 ,
Swallows Population = 2370
and,
at x = 9,
Swallows Population = 2870
So,
Average Rate [tex]=\frac{2870 - 2370}{10} = 50[/tex]
Now,
For Park B,
at x = 4,
Swallows Population = 2200
and,
at x = 9,
Swallows Population = 2800
So,
Average Rate [tex]=\frac{2800- 2200}{10} = 60[/tex]
So,
Difference in average rate = 60 - 50 = 10
From the average rate of of both park A and Park B,
We can see that,
Park B has faster growth rate of 100 per year.
Hence, we can say that the Park B showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year i.e. option A.
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Alex has 30,000 in his savings account that earns 10%
annually.
How much interest will he earn in one year?
Answer:
i dont know im so sorry
Step-by-step explanation:
i hope u find ur answer
Help for brainiest
please explain how you got it :D it would help so I can understand how to do the rest
Answer:
Option D
Step-by-step explanation:
Formula to use: V=[tex]\frac{1}{2}(b*a)*h\\[/tex]
b=base of triangle a=altitude of triangle h=height of prism
Doing [tex]\frac{1}{2}(b*a)[/tex] is essentially finding the area of the triangle and after multiplying by h will give you the volume of the triangular prism.
Solve: V = [tex]\frac{1}{2}(3*3)*7[/tex] or option D
Ps. Altitude is perpendicular or 90 degrees to the side I used for the base, so it wouldn't be option C.
james jogged around the track 0.68 hours at an average speed 28.9 miles per hour how far did he jog?
Answer:
Step-by-step explanation:
0.68hr(28.9mi/hr)=19.652mi
Hi i need help. I will give brainliest
I need help with #18
Answer:
1. a
2.60
3.g
Step-by-step explanation:
Which is the approximate solution to the system y= 0.5x + 3.5 and y= -2/3x + 1/3 shown on the graph?
Answer: 1. 4, 2. 1x.
Step-by-step explanation:
50 POINTS FOR THIS IF ANYONE CAN GIVE ME A DECENT ANSWER AND BRAINIEST ANSWER
help me sketch the graph of x/4 + y/-3 = 1?
give me a reason why you put a mark there on graph thanks.
PLEASE
Go from 1x down 3 and right 4
Then draw a line connecting it
Find the AREA of the triangle below.
Answer:
212.5
Step-by-step explanation:
a=b*h/2
b=25
h=17
25*17 =425
425/2=212.5
a=212.5
Can someone help me
9514 1404 393
Answer:
vertical50°Step-by-step explanation:
Angles BGC and FGE share vertex G and are composed of opposite rays. This makes them vertical angles.
Angle BGC and CGD make up a right angle, so they are complementary. That makes angle BGC equal to 90° -40° = 50°.
Vertical angles have the same measure, so ∠FGE = 50°.
What is the difference in the number of mongolians living in urban and rural areas
Difference means subtraction; in other words, the difference between data is calculated by subtracting the smaller value from the larger value.
The difference between the population living in the urban and the rural area of Mongolia are: 1195830
To continue, I will make the following observations dataset for Mongolians.
[tex]Population = 3.225\ million[/tex]
[tex]Rural = 31.46\%[/tex]
[tex]Urban = 68.54\%[/tex]
The difference (d) in the percentages is:
[tex]d = Urban - Rural[/tex]
[tex]d = 68.54\% - 31.46\%[/tex]
[tex]d = 37.08\%[/tex]
So, the actual difference (in numbers) is the product of the percentage difference by the population of Mongolia
i.e.
[tex]D = d * Population[/tex]
[tex]D = 37.08\% * 3.225\ m[/tex]
[tex]D = 1195830[/tex]
Hence, the difference between the population living in the urban and the rural area of Mongolia are: 1195830
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Sales total : $155,000
Commission : 3.4%
How much is the commission?
Answer:
5,270
Step-by-step explanation:
155,000 x 3.4%
Answer:
5270
Step-by-step explanation:
multiply 155,000 by 3.4 and then divide it by 100
155,000 x 3.4=527,000
527,00 divided by 100 = 5270
1/8+ c = 4/5
27/20 = c
Answer: the answer will be for c is 27 over 40
Step-by-step explanation:
please help me, I’m very confused
Can someone please help me with this
9514 1404 393
Answer:
360°
Step-by-step explanation:
The sum of exterior angles of any convex polygon is 360°.
__
You can see this if you draw each external angle, then reduce the side lengths of the polygon to zero. You will see that the angles add up to one full turn, or 360°.
SOMEONE, PLEASE SEND HELP
A bag has 8 green, 2 yellow, 6 blue, and 4 red marbles. What is the probability of selecting a green marble, keeping it, and then selecting another green marble?
4/25
1/400
1/380
14/95
Answer:1/400
Step-by-step explanation:
because you have to add
What is the value of x in the figure below?
Answer:
x = 25°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
The given triangle is a right triangle which means one of its angle has a measure of 90°
since thd other angle is given as 65 to calculate x we just add the given measures and subtract it from 180
90° + 65 + x = 180
155 + x = 180 subtract 155 from both sides
x = 25°
find the surface area of a cylinder with the height of 10 inches and a base diameter of 6 in
Answer:
339.24
Step-by-step explanation:
To find the surface area, you will need to the the area of the base of the cylinder. To do that, use the formula A=pi (r)^2
The radius is half the diameter do r=3
3.14(3)^2 should give you about 28.27.
This is the area of the top and bottom of the cylinder.
Now, do 28.27x10=282.7 to find the height surface area.
282.7+28.27+28.27=Surface area.
SA= about 339.24
please help me asap
Answer:
add the two bases together: 19.5 + 14.5 = 34 x 8 (height) = 272 divided by 2 (times half) = 136cm is your answer.
Formula of a trapezoid:
Base 1 + Base 2 times height times height (basically dividing by 2)
Someone please help me find the area I’ll give brainliest
Answer:
The area of the rectangle? If so it's 240.
Terry’s garden is in the shape of a quarter-circle with radius 24 meters. What is the area of her garden?
Answer: 1809.56 let me know if it is right?
Step-by-step explanation:
Find the value of −12 + 8 −(−9). Question 20 options: −13 −5 13 5
Answer:
D) 5
Step-by-step explanation:
-12 + 8 + 9 = 5
A large school district is considering implementing a program that, if successful, would improve the reading scores of its students by 10 points. The current reading scores for the district are normally distributed with a mean of 25 and a standard deviation of 8. The administrators decide to test the new program in one school of 200 students. What is the standard deviation of the comparison distribution
Answer:
The standard deviation of the comparison distribution is 0.5657.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question:
Standard deviation of the population is 8, sample of 200. So
[tex]s = \frac{8}{\sqrt{200}} = 0.5657[/tex]
The standard deviation of the comparison distribution is 0.5657.
Find the measure of the arc.
D
А
146°E
B
mĒDF = [?]°
Enter
Answer: 214
hope this helped.
The measure of the arc is 214 degrees
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The measure of the arc FE is 146 degrees.
Measure ED is 90 degrees.
To find the measure of the arc EDF we have to find the measure of DF.
146+90+x=360
236+x=360
Subtract 236 from both sides
x=360-236
x=124
Now let us find the arc measure EDF =Measure of ED + Measure of DF
=90+124
=214 degrees
Hence, the measure of the arc is 214 degrees
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The width of the rectangle below is 9 cm, and its length is 17
cm. What is its area?
Its area is _ cm?
Answer:
Area=153 cm²
Step-by-step explanation:
Length × Width= Area
17×9=153
Answer:
153
Step-by-step explanation:
Area= length x width
area= 17 x 9
Somebody HURRY I NEED HELP
Answer:
1/5^3
Step-by-step explanation:
5 ^ -3 = 1 / 5^3 = 1 / 125
Looking for help with some geometry questions today!
Please only answer if you know the answer and can support it by showing you work. If you have a comment or do not know the answer, tell me that in the comment section, do not answer the question. Don't take my points and I want take yours!
Anyways, please show all of you work and explain your thinking! Answer all 5 parts of this question! Good luck!
Answer:
A) Central angle has same value as intercepted arc
GD is the diameter ⇒ mGFED = 180°mDE + mGF = 180° - 90°mDE = 90° - mGF = 90° - 46° = 44°B) Inscribed angle is half of the intercepted arc:
∠WTV = 1/2(90°) = 45°C) Sum of angles of triangle is 180° and inscribed angle is half of the intercepted arc:
m∠RST = (180° - 67° - 102°/2) = 62°D) Inscribed angle is half of the intercepted arc:
m∠HJK = 1/2(80° + 84°) = 62°mHJ = 2*81° - 84° = 98°E) Tangent chord angle is half of the intercepted arc:
m∠XYZ = 1/2(188°) = 94°The net of a rectangular prism is shown below. What is the total surface area of the prism in square centimeters?
A. 208 cm2
B. 96 cm2
C. 160 cm2
D. 144 cm2
Answer:
B.96
Step-by-step explanation:
A virus has infected 400 people in the town and is spreading to 2.5% more people each day.
Write an exponential function to model this situation, then find the number of people that will be
infected in 10 days.
Answer:
3725 infected people in 10 days
Step-by-step explanation:
that is the answer
hello! I am currently failing math class and if I don’t get it together I might have to repeat the grade! so I really need you help and if you have the answer let me know in the comments please !! <3 :)
question⬇️⬇️
Hannah ran 10 miles. how many feet is this ?
10 miles in feet is 52800ft.
1 mile in feet is 5280 and when multiplying by 10, you usually just add a zero at the end of the number which makes 5280 turn into 52800!
If this is incorrect please don't refrain to tell me and I'll correct my answer. Thank you.
ramu and ravi borrowed rs 8000
Answer: Rs. 11,520
Step-by-step explanation:
As the method of compounding is not stated, the default of simple interest will be used.
Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.
Formula is:
Amount owed = Amount borrowed * ( 1 + rate * time)
= 8,000 * ( 1 + 8% * 5.5 years)
= 8,000 * 1.44
= rs 11,520