Answer:
3,240
Step-by-step explanation:
The computation of the population of rabbits in the year 2003 is shown below:
Given that
In the year 1995, the population of the rabbits was 1000
And, in 1999 the population of the rabbits grown to 1,800
So there is an increase of
= (1800 - 1000) ÷ 1000
= 80%
So for 2003, the population of the rabbits is
= 1800 + (1800 × 0.80)
= 3,240
Given:
The population of rabbits on an island is growing exponentially.
In the year 1995, the population of rabbits was 1000, and by 1999 the population had grown to 1800.
To find:
Expected population of rabbits in the year 2003, to the nearest whole number.
Solution:
The exponential growth model is:
[tex]y=ab^t[/tex]
Where, a is the initial value, b is the growth factor, t is the number of years.
Let y be the population of rabbits t years after 1995.
In the year 1995, the population of rabbits was 1000, it can be written as (0,1000) and by 1999 the population had grown to 1800, it can be written as (4,1800).
For (0,1000),
[tex]1000=ab^0[/tex]
[tex]1000=a(1)[/tex]
[tex]1000=a[/tex]
For (4,1800) and a=1000, we get
[tex]1800=1000b^4[/tex]
[tex]\dfrac{1800}{1000}=b^4[/tex]
[tex]1.8=b^4[/tex]
[tex](1.8)^{\frac{1}{4}}=b[/tex]
[tex]b\approx 1.1583[/tex]
The required exponential model is:
[tex]y=1000(1.1583)^t[/tex] ...(i)
in year 2003, the number of years since 1995 is 8.
Putting t=8 in (i), we get
[tex]y=1000(1.1583)^8[/tex]
[tex]y=3240.1748[/tex]
[tex]y\approx 3240[/tex]
Therefore, the population of rabbits in the year 2003 is 3240.
A store purchased jeans for $15 a pair. The store increased the price of the jeans by 65%. One month later, the jeans were on sale for 15 - off the store price. How much would a customer pay for the jeans on sale? Please help
Answer:
$21.04
Step-by-step explanation:
Steps to take to derive the answer
Determine the price after the price increase of 65%Determine the price after the 15% offPrice after increase increase (100% + increase in price) x purchase price of the jeans
(100% + 65%) x 15
165% x 15
1.65 x $15 = $24.75
Price after the decrease in price = (100% - percentage decrease in price) x price after the 65% increase in price
(100% - 15%) x $24.75
85% x $24.75
0.85 x $24.75 = $21.04
Which statement accurately describes the graph 2y=4x+8?
IM IN A TEST HURRY PLEASE!!
The statement which describes the given line the best is required.
The correct statement is an increasing line that passes through [tex](0,4)[/tex]
Equation of linesThe given equation is [tex]2y=4x+8[/tex]
Two points of the line are
[tex]x=0[/tex]
[tex]2y=0+8\\\Rightarrow y=4[/tex]
[tex](0,4)[/tex]
[tex]y=0[/tex]
[tex]0=4x+8\\\Rightarrow x=-2[/tex]
[tex](-2,0)[/tex]
The line passes through points [tex](0,4),(-2,0)[/tex]
The slope intercept form of the line is
[tex]y=\dfrac{4x+8}{2}\\\Rightarrow y=2x+4[/tex]
The slope is [tex]2[/tex]
Since, the slope is positive the line is increasing.
Learn more about equation of lines:
https://brainly.com/question/13763238
9. Sara and Yusuf's grandmother gives them money for Christmas every year. They share the money in the
ratio of their ages. This year their grandmother gave them R1 500 together. Sara received R675. They are both younger than 18 years old. Determine how old Sara and Yusuf are.
in
Answer:
Sara is 9 years old while Yusuf's is 11 years old
Step-by-step explanation:
The given parameters are;
The ratio Sara and Yusuf share the money they receive = The ratio of their ages
The amount Sara and Yusuf received from their grandmother this year = R1,500
The amount of money Sara receives = R675
Therefore, the amount of money Yusuf receives = R1,500 - R675 = R825
Let 'x', and 'y' represent the ages of Sara and Yusuf
Therefore, the ratio of their ages, x/y = R675/R825) = 9/11
x·11 = y·9
x, and y < 18
When x = 9, y = 11, we get;
9·11 = 11·9
Therefore a possible solution is Sara's age = x = 9 and a possible solution for Yusuf's age, y = 9
I need help. Do not post a link to a site!
Find the value of each variable.
Answer:
the answer is x=45⁰ y=45⁰
may I help you
Someone help plz make sure it’s right :)
Answer:
6 m
Step-by-step explanation:
By Pythagoras Theorem:
[tex]x = \sqrt{ {10}^{2} - {8}^{2} } \\ \\ x = \sqrt{100 - 64} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: m[/tex]
Step-by-step explanation:
10² = 8² + x²
x² = 10² - 8²
x² = 36
x = √36
x = 6
Instructions: Find the missing length indicated.
Answer:If you are following a area of a triangle is bxhx1/2 or bxh/2
1,800
Step-by-step explanation:100x36=3,600/2=1,800
Divide. (8x2 – 24x + 15) ÷ (2x – 5)
Answer:
31-24x/2x-5
Step-by-step explanation:
multiply: (16-24x+15)/(2x-5)
calculate: (31-24x)/(2x-5)
write the division as a fraction: 31-24x/2x-5
hey could somebody help me please :)
Answer:
Cut them in smaller shapes then find area
Step-by-step explanation:
Find the value or measure. Assume that all segments that appear to be tangent are tangent. Round answers to the nearest tenth, as needed.
Answer:
23.26
Steps:
AC=√(10²+21²)
AC=√(100+441)
AC=√541
AC≈23.26
what is 11 times 1/5
Answer:
the answer is 2.2
Step-by-step explanation:
I used a calculator
Answer:
2 1/5 I guess
Step-by-step explanation:
If it's wrong then my phone's stu.pid
Jimmy is on the driving team at his school the quadratic function graphed on the coordinate plane below represents on of jimmy dives. Where x represent the horizontal distance , in feet that he is from the diving board and y represent his height , in feet above the water level . Explain the meaning of the meaning of x and y intercept in terms of context
Look at the picture :)
Answer:
X on the graph represents horizontal distance, the x intercept represents when he ends his dive and lands in the water. The x intercept = 8 meaning he is 8 feet away from the diving board when he lands in the water. The y-intercept of y = 13 means the starting point of his dive.
Good luck! :)
Credits: Xin for part A
In triangle ABC, angle C is a right angle. Find the value of the trig function.
Find the cos(A) if c= 15, a=9, b= 12
Answer:
its a
Step-by-step explanation:
Can someone plz help me with this !!!
Answer:
Yes!
Step-by-step explanation:
The y = -17
The x = 18
y = x-35
-17 does equal 18 - 35
Hope that helps!
Step-by-step explanation: no it dosent i dont think
Which expression is equivalent to
Answer:
B
Step-by-step explanation:
help please????????????
Answer:
1st one is correct ....................
Answer:
x = 8, y = 12
Step-by-step explanation:
Since the triangles are congruent, we know that the parallel sides are equal to each other.
So,
4x - 7 = 3x + 1
4x - 3x = 1 + 7
x = 8
x + y = 20
8 + y =20
y = 20 - 8
y = 12
This list shows the numbers of rocks each member of a rock collection club owns.
5, 18, 26, 11, 3, 20, 9, 12, 24
What is the range of the number of rocks owned by the members?
19
21
23
24
Work out m and c for the line: y+2x=3
Answer:
m = - 2, c = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + 2x = 3 ( subtract 2x from both sides )
y = - 2x + 3 ← in slope- intercept form
with m = - 2 and c = 3
There are 12 boys and 13 girls in a class. If the teacher randomly chooses a student's name out of a hat, what is the probability it will be a girl?
◯ 48%
◯ 50%
◯ 52%
◯ 92%
The probability of selecting a girl is 52%
How to determine the probability?The given parameters are:
Boy = 12
Girl =13
The probability of selecting a girl is:
P(Girl) = Girl/Total
This gives
P(Girl) = 13/(12 + 13)
Evaluate
P(Girl) = 52%
Hence, the probability it will be a girl is 52%
Read more about probability at:
https://brainly.com/question/251701
#SPJ1
Nicole washed 4/10 of a bag of potatoes.She left the rest in a basket outside what amount of potatoes did Nicole leave outside?
Answer:
6/10 Simplified: 3/5 of a bag
Step-by-step explanation:
One bag= 10/10
She washed 4/10
So, 10/10-4/10=6/10
6/10=3/5
3/5 of a bag
Hope this helped! :)
Stay safe and have a wonderful day/night!!!!!
Please consider rating and giving thanks, if this helped you!
Vanessa throws a tennis ball in the air. The function h(t) = -15t2 + 45t + 10 represents the distance in feet, that the ball is from the ground at any time in seconds, t. What is the maximum height of the ball?
Answer:
43.75feet
Step-by-step explanation:
Given the height of the tennis ball expressed as;
h(t) = -15t^2 + 45t + 10
At maximum height, the velocity of the ball is zero
v = dh/dt
dh/dt = -30t + 45
Since dh/dt = 0, hence;
0 = -30t + 45
30t = 45
t = 45/30
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -15(1.5)^2 + 45(1.5) + 10
h(1.5) = -15(2.25)+67.5+10
h(1.5) = -33.75+77.5
h(1.5) = 43.75feet
Hence the maximum height of the ball is 43.75feet
20 POINTS HELP ASAP
determine wether the equation is an identity or not an identity. sin theta/ cos theta
Answer:
A
Step-by-step explanation:
HELP PLEASE I need it abbreviated !
Answer:
30 inch²
Step-by-step explanation:
a + b/2 x h
8 + 10/2 X 5 = 30
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
268.083
Step-by-step explanation:
volume of a sphere = 4/3 times pi times r^3. 4/3(pi)(4^3) = 268.083
Utilize as propriedades das potências e resolva 2⁴ * 2⁷ * 2⁵
Answer:
65536
Step-by-step explanation:
2 elevado a 4 é 16 e 2 elevado a 7 é 128 e 2 elevado a 5 é 32, multiplique-os e você obterá 65536
Help ASAP!
553.168 L = mL
What is the equation of the line that passes through the point (-6,3) and has a
slope of -1/6?
Answer:
y = -1/6x + 2
Step-by-step explanation:
Put it in point-slope form:
y - 3 = -1/6(x + 6)
y -3 = -1/6x - 1
y = -1/6x + 2
If one side of a triangle is 87 and the other side is 52, what is the measurement of the other side?
Answer:
87+52=139 180-139 = 41
41 is the measurement of the other side
Step-by-step explanation:
Find the value or measure. Round answers to the nearest hundredth, as needed.
HELP DUE IN 10 MINS!
Rounds to nearest foot.
The ladder reaches ?? feet up the wall
Answer:
Use sine:
x/ 30 = sin 35°x = 30 sin 35°x = 17 ft (rounded)I need help question in picture
it's is A= pi x r x 2^
diameter is 17 divide by two is the radius
3.14 x 8.5 x 8.5 is 226.865