Answer: 105
Step-by-step explanation:
its up by 30 and 35 of and onn
A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?
Answer:
It's %9.0.
Step-by-step explanation:
Evaluate the expression
(16 + 14) +9
Answer:
39
Step-by-step explanation:
There are 10 M&Ms of which 6 are green, in a bowl. You select 2 of them and eat each after it is selected. Is this a binomial experiment? Why or why not?
The experiment is not a binomial experiment.
What is a binomial experiment?
A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.
The conditions for a binomial experiment include:
1. Each trial should be classified either as a success or a failure.
2. There are a fixed number of observations
3. The trials are independent.
4. The number of trials are fixed.
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I’m so bad at math Can someone help
Answer:
B and C
Step-by-step explanation:
It fits the inequality
Step-by-step explanation:
step 1. no one is categorically bad at math; they just haven't practiced.
step 2. this reads: x is less than 30 and x is greater than 15.
step 3. x cannot be 15 but can be 22 and 29.
Simplify: Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 x Superscript 8 Baseline EndFraction EndRoot
The solution of the given expression is 9*\(x^{4}\)/100.
GIven an expression equal to 27\(x^{12}\)/300\(x^{8}\).
We have to simplify the expression in which variable comes only once.
Expression is combination of numbers ,symbols, fraction, coefficients, indeterminants,determinants, etc. It is mostly not found in equal to form. It expresses a relationship between variables.
The given fraction is 27\(x^{12}\)/300\(x^{8}\).
When we observe we find that in numerator x has large power and denominator x has small power as compared to power in numerator. So we will deduct the powers so that they will give only one power to us.
=27\(x^{4}\)/300
Now divide numerator an denominator by 3.
=9\(x^{4}\)/300
Hence the expression 27\(x^{12} /300x^{8}\) will look like \(9x^{4} /100\) after simplifying.
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Answer:
\(Simplify:\sqrt\frac{27x^{12} }{300x^{8} }\)
\(O \frac{9}{100}x^{4}\)
✔ \(\frac{3}{10} x^{2}\)
\(O \frac{27}{300} x^{4}\)
\(O\frac{9}{10} x^{2}\)
Please help quick I need it
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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Reflect AB over the x-axis and rotate 90° counterclockwise about the origin.
Answer:
O A"(3, -5) B"(1, -3)
Step-by-step explanation:
Hope it helps.
Answer:
A"(-3, 5), B"(-1, 3) is the answer
Help !!
centimeters and millimeters <3
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
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Plz, answer. Will mark brainiest. Please! 50 points!!!
Answer:
12%
Step-by-step explanation:
Original = $874,990
New = $769,991
874,990 - 769,991/874,990
104,999/874,990
0.12
Turn to percentage
0.12 * 100
= 12%
Answer:
12%
Step-by-step explanation:
Given:
Original list price = $874,990New list price = $769,991Percent change formula
\(\sf percent\:change=\left|\dfrac{final\:value-initial\:value}{initial\:value} \right|\times 100\)
Substitute the given values into the formula:
\(\begin{aligned}\implies \sf percent\:decrease & = \sf \left|\dfrac{769991-874990}{874990} \right|\times 100\\& = \sf 0.1200002286 \times 100\\& = \sf 12.00002286... \\& = \sf 12\% \end{aligned}\)
Therefore, the Percent of Decrease (markdown) to the nearest percent is 12%.
5a. find the value of a.
The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;
5 a. The value of a is 3.5
b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel
What is a logarithmic function?A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential function
The function is f(x) = a·log₃(x - 4),
x > 4 and a > 0
The coordinates of a point on the graph of the function, f is A(13, 7)
5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows
f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²
7 = a·log₃3²
7 = 2·a·log₃3 = 2·a·1 = 2·a
2·a = 7
a = 7 ÷ 2 = 3.5
a = 3.5
5 b. The coordinates of the x-intercept of the graph = (5, 0)
The equation of the function is;
f(x) = 3.5·log₃(x - 4)
A third point on the graph is given when f(x) = 14 as follows;
f(x) = 14 = 3.5·log₃(x - 4)
log₃(x - 4) = 14 ÷ 3.5 = 4
3⁴ = x - 4
x = 3⁴ + 4 = 85
Which gives the point, (85, 14)
Similarly, we have the point (31, 10.5), (7, 3.5)
Please find attached the graph of f(x) created with MS Excel
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what additional information is needed to show that abc def by asa
To prove congruence using SAS Theorem, you must understand that pairs of two angles are congruent as well as the pair of sides that are next to one of the specified angles.
What is triangle?In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
All triangles are contained in a single plane if all geometry is on the Euclidean plane, but in higher-dimensional Euclidean spaces, this is no longer the case.
The definition of the terminology used to classify triangles can be found on the first page of Euclid's Elements, which dates back more than two thousand years. In modern classification, names are either directly transliterated from Euclid's Greek or translated from Latin.
Hence, To prove congruence using S Theorem, you must understand that pairs of two angles are congruent as well as the pair of sides that are next to one of the specified angles.
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Show all work to multiply
(3+ square root -16) (5 – square root -25)
\(\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i\)
Write the rational number -19 in the form of a fraction
For the given decision algorithm, find how many outcomes are possible.
Alternative 1
Step 1: 1 outcome
Step 2: 4 outcomes
Alternative 2
Step 1: 5 outcomes
Step 2: 4 outcomes
Step 3: 1 outcome
The number of possible outcomes for the algorithm is given as follows:
80 outcomes.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are n independent trials, each with \(n_1, n_2, \cdots, n_n\) possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
The number of outcomes for each algorithm in this problem is given as follows:
Algorithm 1: 1 x 4 = 4 outcomes.Algorithm 2: 5 x 4 = 20 outcomes.Hence the number of outcomes for the entire algorithm is given as follows:
4 x 20 = 80 outcomes.
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Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
what is the equation of a line that passes through the points (2,5) and (4,3)
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
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Determine which of the values is a solution of 16 <3y + 4.
Answer:
y > 4
Step-by-step explanation:
A club sold $555 worth of
tickets
Fair. Each ticket cost
$5. How many
tickets did they sold?
Answer:
111
Step-by-step explanation:
$555 ÷ $5 = 111
sorry I'm not good at explaining
Answer:
111 tickets were sold.
Step-by-step explanation:
If each ticket costs 5$, and they made 555$, then by dividing 555 by 5, you can find 111 tickets as your answer.
Calculate the missing angles a, b, c, and d in the diagram below, giving a reason for each answer
Answer:
see below and attachment
Step-by-step explanation:
a=30°
because, the marked angle of 30° is an alternate interior angle to angle a. Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.
b=50°
because the marked angle of 50° is a vertical angle to angle b. Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.
c=50°
because the marked angle of 50° is a corresponding angle (same side angle) to angle c. These corresponding angles are congruent because the 2 horizontal lines are parallel.
d=100°
because the 3 interior angles of a triangle must add up to 180°. We have 30°, 50°, so the last angle must be 100°. We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°. We have angle a as 30°, angle c as 50°, so angle d must be 100°.
Hope this helps! See attachment for visual.
The value of \(\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)-\sin ^{-1}\left(\frac{1}{2}\right)\) is
Answer:
\(\displaystyle \frac{\pi}{6}\)
Explanation:
According to the unit circle, \(\displaystyle \frac{\pi}{3}\) and \(\displaystyle \frac{\pi}{6}\) are the radian measures you are looking for because all y-coordinates are associated with the sine function, so when evaluating, you will arrive at this:
\(\displaystyle \boxed{\frac{\pi}{3}} = \frac{\pi}{3} - \frac{\pi}{6}\)
I am joyous to assist you at any time.
7y +2-2y-9 x+12-x Simplified
Answer:
- 10 + 5y + 14
Step-by-step explanation:
What is expression is equivalent to 210,704? Is it 20,000+10,000+700+4. 200,000+10,000+700+4. Or 200,000+10,000+700+40??
Answer:
200,000+10,000+700+4
Step-by-step explanation:
On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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Factor the trinomials by grouping PHOTO IS ATTACHED PLEASE HELP!!
Answer:
A) -3 and -10
B) -3x-10x (I’m not sure what they mean by this step. Maybe what I put for the first part of C?)
C) (5x²-3x)+(-10x+6)
(5x-3)(x-2)
Step-by-step explanation:
A) -3 and -10
B) -3x-10x (I’m not sure what they mean by this step. Maybe what I put for the first part of C?)
C) (5x²-3x)+(-10x+6)
(5x-3)(x-2)
What is the 36th derivative of f(x)=cos2x?
The 36th derivative of f(x) = cos(2x) is \(2^{17}\)* cos(2x).
To find the 36th derivative of the function f(x) = cos(2x), we can apply the chain rule repeatedly. The chain rule states that if we have a composite function y = f(g(x)), then its derivative is given by dy/dx = f'(g(x)) * g'(x).
Let's start by finding the first few derivatives of f(x) = cos(2x):
f'(x) = -2sin(2x)
f''(x) = -4cos(2x)
f'''(x) = 8sin(2x)
f''''(x) = 16cos(2x)
We observe a pattern where the derivatives of cos(2x) alternate between sin(2x) and cos(2x), with the signs changing accordingly.
Based on this pattern, we can see that the 36th derivative will be:
f^(36)(x) =\((-1)^{17} * 2^{17} *\) cos(2x)
Simplifying this expression, we have:
f^(36)(x) = \(2^{17} * cos(2x)\)
Therefore, the 36th derivative of f(x) = cos(2x) is\(2^{17\) * cos(2x).
It's important to note that in this case, the number 36 is even, and since the derivatives of cos(2x) follow a repeating pattern every 4 derivatives, the sign (-1) raised to the power of 17 accounts for the change in sign in the 36th derivative.
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please help get this right please I'm nut sire if it right
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
" If $6000 is borrowed at 7.5% simple interest for 2 yr, then the amount of interest is "
Answer:
u
Step-by-step explanation:
1. It took Jed of an hour to complete his math homework on Friday. of an hour
on Saturday, and of an hour on Sunday. How many hours did he take to
complete his homework altogether?
A. 1 2/3
B.1 1/3 C.1/3 D.1 1/12
Correct Question:
It took Jed 5/3 of an hour to complete his math homework on Friday, 3/4 of an hour on Saturday, and 5/6 of an hour on Sunday. How many hours did he take to complete his homework altogether?
Answer:
\(Total = 3\frac{1}{4}\ hours\)
Step-by-step explanation:
Given
\(Friday= \frac{5}{3}\)
\(Saturday = \frac{3}{4}\)
\(Sunday = \frac{5}{6}\)
Required
Determine the total time spent
Total time is calculated as follows:
\(Total = Friday + Saturday + Sunday\)
\(Total = \frac{5}{3} + \frac{3}{4} + \frac{5}{6}\)
\(Total = \frac{20 + 9 + 10}{12}\)
\(Total = \frac{39}{12}\)
Divide numerator and denominator by 3
\(Total = \frac{13}{4}\)
\(Total = 3\frac{1}{4}\ hours\)