==============================================
Work Shown:
A = P*(1+r)^t
A = 85*(1+0.085)^10
A = 192.183592562981
A = 192
-----------
Notes:
P = 85 is the starting population.r = 0.085 is the decimal form of 8.5%, so we can say 8.5% = (8.5)/100 = 0.085t = 10 years have elapsed from 1995 to 2005.The formula shown above helps with exponential growth and decay problems.The rabbit population in Central Park in 2005 is 192 rabbits.
To find the rabbit population in Central Park in 2005, we need to calculate the growth from 1995 to 2005.
From 1995 to 2005, there is a total of 10 years.
Using the growth rate of 8.5% per year, we can calculate the population in 2005:
Population in 2005 = 85 rabbits(1 + 0.085)¹⁰
Calculating this expression:
Population in 2005 = 85 rabbits(1.085)¹⁰
= 85 rabbits × 2.2609
= 192 rabbits
Therefore, the estimated rabbit population in Central Park in 2005 is 192 rabbits.
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Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know?
Answer:
they are equal because while solving 2b+5+1b it will come 3b+5 so they are equal
Answer:
the equation are equivalent
Step-by-step explanation:
to know why, look at the pic above
determine if f (x) = - x^3 + 4x^2 +7x - 6
bob has at least $5000 in savings. his savings balance is more than 3 times greater than his checking balance
Answer:
so then it to be 25000
Step-by-step explanation:
[tex]\sqrt{2x-3} =5[/tex]
help me with this answer pls!!
Answer:
1.090909......
Step-by-step explanation:
Each number is divided by -3.333333..... to get the next number in the sequence, -3.6/-3.3333....=1.0909.....
I hope this helps!
Which of the following is a diameter of Circle O?
A
AB
B
DG
EB
D
AE
Answer:
EB
Step-by-step explanation:
Diameter is a line that cut a circle into equal halves
O indicate the point of the center
I need help plz, thank you!!!
Which function is a shrink of the exponential growth function shown on the graph?
A.f(x) = 2(3)x
B.f(x) = One-half(3)x
C.f(x) = 2(one-third) Superscript x
D.f(x) = One-half (one-third) Superscript x
Answer:
B
Step-by-step explanation:according to my calculations it’s b
The solution is, Option B. f(x) = One-half(3)x.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
from the given graph we get,
The function in the graph is an exponential growth function.
Therefore its equation is g(x)= 3^x
A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where
0<k<1
From the given options, we must have
k=1/2
This implies that:
f(x)= 1/2 * 3^x.
Hence, The solution is, Option B. f(x) = One-half(3)x.
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Help me out
Length = m
[tex]perimeter = a + b + c[/tex]
[tex]perimeter = 4 + 3 + c[/tex]
//
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {4}^{2} + {3}^{2} = {25}^{2} [/tex]
[tex] \sqrt{25} = 5[/tex]
[tex]c = 5 \: meters[/tex]
//
[tex]perimeter = 4 + 3 + 5[/tex]
[tex]perimeter = 12 \: meters[/tex]
//
[tex]the \: length \: of \: the \: fencing \: is\: 12 \: meters[/tex]
in a standard deck of cards, what is the probability that you would draw an ace
Answer:
innate as an agent X or something else
Step-by-step explanation:
Answer:
8%
Step-by-step explanation:
Suppose you have a deck of 52 cards, 4 of which are aces. The chances of drawing an ace from this deck are 4/52≈8%.
Which of the following best describes the equation below?
y = -5x + 12
A.
nonlinear
B.
linear
C.
both linear and nonlinear
o
D.
neither linear nor nonlinear
Answer:
B. linear equation
Step-by-step explanation:
How can you tell that whether the equation is linear or nonlinear?
Using an Equation
Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.
y = -5x + 12 has no exponents that's why it is a linear equation.
Hope this helps:)
letter d is 7 someone help me please!!!!
Answer:
The answer is A. -7
Step-by-step explanation:
76 + 41 = 117
117 + 70 = 187
187- 7 = 180
Hope this helps
Answer:
A -7
Step-by-step explanation:
the angles of a triangle add up to 180
76+41+70 = 187-7 180
I have no idea what to do please help
Answer:
CD- transversal
XY AND ZW - parallel lines
and the other vertical angles
Answer:
XY and ZW: Parallel Lines, angles 2 and 4: same side interior angles, angles 1 and 3: vertical angles, angles 1 and 7: alternate exterior angles, no idea for line CD
Step-by-step explanation:
A lumberjack needs to climb a tree to place a satellite tower in the tree top in the woods. The satellite signal needs to reach a horizontal distance of 3500 meters along the ground. If the angle of elevation from the farthest distance along the ground that the satellite reaches to the satellite in the tree is 18 degrees, what is the radius of the satellite signal? Round your answer to the nearest meter.
Radius of the satellite signal = meters
Answer: I use clickcaculators.com ;)
Step-by-step explanation:
Work out the sum of 1/6 , 4/5 and 2/3 Give your answer as a mixed number in its simplest form.
Answer:
39/30= 13/10
Step-by-step explanation:
You would need to make all numbers have a common denominator. The least common denominator for them is 30. So multiply the 1/6 by 5. the 4/5 by 6 and the 2/3 by 10. And the answer will come out to be a mixed number.
A new bank customer with $3,000 wants to open an IRA (Individual Retirement
Account) to earn money for retirement. The bank is offering a simple interest rate
of 11%.
PART A: How much interest will the customer earn in 20 years?
PART B: What will be the account balance after 20 years?
help me please
Answer:
First take 11% of 3000 which is 330
So 330 per year
according to that in 20 years it will be ($330*20 =$6600)=answer A
Answer B = the total money will be 6600+3000 which is 9600$
please help meee its due soon hurry please !!
Lisa had four candy bars . She ate 2 3/8 of the candy bars. How many candy bars does she have left.
Answer:
1 5/8
Step-by-step explanation:
You need to do the subtraction 4 - 2 3/8.
You can use mixed numerals, but you need to borrow and you need a common denominator.
4 - 2 3/8
Since 4 has no fraction part, we borrow 1 from 4 leaving 3. The 1 we borrow becomes a fraction written as 8/8, so we have the same denominator as the fraction 3/8.
Now we have
4 - 2 3/8 =
= 3 8/8 - 2 3/8
Subtract 2 from 3 to get 1.
Subtract 3/8 from 8/8 to get 5/8.
= 1 5/8
You can also set it up vertically as shown below and then subtract the whole numbers and subtract the fractions.
3 8/8
- 2 3/8
------------
1 5/8
Answer: 1 5/8
A man knows that his apple tree is 51 ft high. At 11:00 am the tree casts a shadow of 68 ft. What is the angle of elevation of the sun? Round to the nearest tenth
Answer:
36.9 degrees
Step-by-step explanation:
This problem can be solved by drawing a right triangle and doing trigonometry. We can draw our triangle with a height of 51 and a base of 68. In order to find the angle from the ground to the sun we can use arctangent (tan^-1). Since tan(angle)=opposite/adjacent we can find the angle by doing angle=tan^-1(51/68)
What is the arc length of a circle that has a 6inch radius and a central angle that is 65 degrees? Use 3.14 for pi and round your answer to the nearest hundredth
1) 0.65 Inch
2) 1.13 Inch
3) 6.80 Inch
4) 390.01
PLEASE HELP!!! ILL MARK BRAINLIEST
Answer:
6.80 inch
Step-by-step explanation:
#2 Find the value of x. Round to the nearest degree.
Answer:
49°
Step-by-step explanation:
arccos x = 15/23
Please help what is the answer
The half-life of hellium-5 is 7.6x10^-22 seconds, and the half-life of hellium-9 is 7x10^-21 seconds. Approximately how many times greater is the half-life of hellium-9 than that of helium-5?
Answer:
9.2 times greater
Step-by-step explanation:
Given that :
Half life :
Helium - 9 = 7x10^-21 seconds
Helium - 5 = 7.6x10^-22 seconds
To obtain the number of tunes helium - 9 half life is greater than helium - 5 ; we divide the half life of helium-9 by the half life of helium 5
7x10^-21 seconds / 7.6x10^-22 seconds
0.9210526 x 10^(-21 - (-22))
0.9210526 * 10^1
= 0.9210526 * 10
= 9.2105
About 9.2 times greater
solve this linear equation with HOW you did it please.
9k-5k=-32
what is the value of x when 2^x-7*5^x-4=1250
Step-by-step explanation:
The correct answer is the photo
12. What type of triangle is shown?
Answer:
Scalene triangle, right triangle.
Step-by-step explanation:
To find out what type of triangle this is, we have to find x, so we set up an equation:
The sum of interior angles in a triangle add up to 180°
(2x + 15°) + (4x - 10°) + (x) = 180°
Open paranthesis:
2x + 15° + 4x - 10° + x = 180°
Combine like terms:
7x + 5° = 180°
Same to both sides
7x = 175°
x = 25°
We plug in x for each of the values:
2(25°) + 15° = 65°
4(25°) - 10° = 90°
25° = 25°
Because none of the angles are equal, that makes this triangle a scalene triangle, and since one of the angles is a 90° angle, that makes this triangle a right triangle
I hope this helped, let me know if you have any questions.
Please Help!
if these two shapes are similar, what is the measure of missing length q?
Answer:
40
Step-by-step explanation:
96 ÷ 60 = 1.6
25 × 1.6 = 40
Disclaimer: Yay, okay. The person above me got the same answer so this is right.
how do you solve 0.4m(40m-20n)
Answer:
= 16m2o−8mno
Step-by-step explanation:
Please I need help does anyone know a hack for khan academy
Answer:
Answer:
0.3643
Step-by-step explanation:
Standard Form and Scientific Notation
What is standard form of numbers?
Standard form is the normal way of writing numbers no matter how big or small the number is.
Examples:
15,000,000
0.0000000678
What is scientific notation?
Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.
Examples:
1.3 × 10⁶
34.5 × 10^⁻9
Going back to the question above, we need to convert the given scientific notation to its standard form.
Converting of Scientific Notation to Standard Form
To convert a number from scientific notation to standard form, move the decimal point.
The exponent tells the direction and the number of times we need to move the decimal point.
The positive exponent indicates a large number so we need to move the decimal point to the right.
The negative exponent indicates a small number so we need to move the decimal point to the left.
Do not write the power of 10 anymore.
Solution:
Now, let us convert 3.643 x 10^-1 in standard form.
The exponent is negative 1 so we will move the decimal point to the left once.
3.643 = 0.3643
A boat which moves a 15 miles per hour without a current goes 36 miles upstream and 36 miles back in 5 hours. Find the speed of the current
Answer:
3 mph
Step-by-step explanation:
UPSTREAM:
distance = 36 miles ;
Speed = 15-c mph ;
TIME, t = distance / speed = 36/(15-c)
Downstream :
distance = 36 miles ;
speed = 15+c mph ;
time, t = 36/(15+c)
upstream time + downstream time = 5 hrs
36/(15-c) + 36/(15+c) = 5
36(15+c) + 36(15-c) = 5(15-c)(15+c)
1080 = 5(225 - c²)
1080 / 5 = 225 - c²
216 = 225 - c^2
216 - 225 = c²
-9 = c²
c = 3