The projected Population in 2020 is given by 4146.
What is compounding ?Compounding is the method through which interest is added to both the principle balance already in place and the interest that has previously been paid. Thus, compounding may be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."
Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The main (initial) sum and the interest that has previously accrued over the course of prior periods are used to compute compound interest.
Number of years to compound is 10 years from 2010 to 2020.
The population deplition is 0.6 % = next year population is 99.4% of present.
So population after 10 years = 4403 * [tex].994\x^{10}[/tex] = 4145.84 =4146
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john bought 53 cartons of eggs,and each had 24 eggs.250 of the eggs were bad.how many good eggs did she get?
Answer:
1022
Step-by-step explanation:
total of eggs
= 53 × 24
= 1272
the good eggs
= 1272 - 250
= 1022
If the given figure is rotated 90 degrees counterclockwise around the origin, what are
the new coordinates of point M?
Answer:
the answer is (-4,2)
hope this helps
Answer:
(-2,4)
Step-by-step explanation:
How do I solve these problems?
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
Karen made 5 less than 4 times the number of free
throws that Kimi made. Write an expression in
simplest form that represents the total number of free
throws made by both players.
I don’t understand how to get my answer
answer:
5x-5
step-by-step explanation:
from the question, it can be determined that karen makes 4x-5 (x representing the amount of free throws made by kimi). since the question is asking you to find the total or sum of their free throws, you add 4x-5 and x to get the answer above. hope that helps!
If sin0≈0.3090, what is the approximate vale of csc0?
Answer:
the approximate of 0•3090 is 0•31
Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\bullet$ $P(-3)
The value of polynomial p(x) when x=0 is 35.
What is a polynomial?
An expression made up of indeterminates and coefficients and utilising solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables is referred to as a polynomial.
The complete question is as follows:
Suppose p(x) is a polynomial of smallest possible degree such that: bullet p(x) has rational coefficients bullet p(-3) = p(\sqrt 7) = p(1-\sqrt 6) = 0 bullet p(-1) = 8 determine the value of p(0).
Given,
p(x) is a polynomial of smallest degree where
p(-3) = p(√7) = p( 1-√6) = 0
p(-1) = 8
So the factors of p are (x+3),(x-√7) and (x - 1+√6)
Given p has rational coeffecients. So we should remove √7 and √6. This can be done by multiplying with conjugates.
(x-√7)*(x+√7) = x²-7
(x-1+√6) * (x-1-√6) = (x-1)² - √6² = x²-2x+1-6 = x²-2x-5
Now the polynomial can be written as
p(x) = c (x+3)(x²-7) (x²-2x-5 )
Here c is a constant and can be determined using p(-1) = 8
p(-1) = c ( -1+3)(-1² - 7 )(-1²-2*(-1) -5)
8 = c(2)(-6)(-2)
c = 1/3
Now the polynomial p(x) = 1/3(x+3)(x²-7) (x²-2x-5 )
Therefore p(0) = 1/3 (3) (-7)(-5) = 35
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The robotics club had 80 members. Because of the pandemic that amount decreased by 65%.
How many people are in the robotics club now?
Answer: 28
Step-by-step explanation:
65% of 80 is 52
80 - 52 = 28
28 people
jeez, 52 people quit? That’s a lot!
sorry if it’s wrong. Have a great day!
HELP MEWMMEEMEMEMEMEEMMEEM'
Answer:
Plot A does
Step-by-step explanation:
Simplify the radical 3√120.
Answer:
= 6√30 or Decimal: 32.863353
A jar contains quarters, loonies, and toonies. If four coins are selected from the jar, how many unique coin combinations are there
When selecting four coins from a jar containing quarters, loonies, and toonies, there are a total of 27 unique combinations.
This can be calculated by using the formula for combination, which is nCr.
In this case,
n is the total number of coins in the jar (3) and
r is the number of coins selected (4).
Therefore, 3/(4(3-4)) = 3/0 = 3/1 = 3,
which is the number of possible combinations in the jar for the quarters, loonies, and toonies. When you multiply 3 by 3, you get 9, and when you multiply 9 by 3 again, you get 27.
Therefore, there are 27 unique coin combinations when selecting four coins from the jar.
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Please help!
Explain how to recognize a difference of two squares.
Answer:
WHEN THE SUM of two numbers multiplies their difference --
(a + b)(a − b)
-- then the product is the difference of their squares:
(a + b)(a − b) = a2 − b2
For, the like terms will cancel.
Symmetrically, the difference of two squares can be factored:
x2 − 25 = (x + 5)(x − 5)
x2 is the square of x. 25 is the square of 5.
The sum of two squares -- a2 + b2 -- cannot be factored. See Section 2.
Example 1. Multiply (x3 + 2)(x3 − 2).
Solution. Recognize the form:
(a + b)(a − b)
The product will be the difference of two squares:
(x3 + 2)(x3 − 2) = x6 − 4.
x6 is the square of x3. 4 is the square of 2.
Upon seeing the form (a + b)(a − b), the student should not do the FOIL method. The student should recognize immediately that the product will be a2 − b2.
That is skill in algebra.
And the order of factors never matters:
(a + b)(a − b) = (a − b)(a + b) = a2 − b2.
Step-by-step explanation:
(a+b)(a-b)
use a and b in the first bracket to multiply the next bracket ; a(a-b)+b(a-b)
a square-ab+ab-bsquare
A rectangular trunk has a volume of 26,880 cubic inches. The trunk is 48 inches long by 28 inches wide. What is the trunk’s height?
Answer:
26880=48(28)h 48(28)=1200 26880÷1200=20 h=20
please help me, thank you
Question 7 options:
From the library, one car heads north, and another heads east. Some time later, the northbound car has traveled 17 miles, and the eastbound train has traveled 144 miles. The two cars, measured in a straight line, are ___ miles apart.
145 miles apart
hope this helps
Help pls giving brainliest
Answer: False i think
Step-by-step explanation:
Show the correct relationship between altitude and boiling point.
Altitude
Boiling Point Temp.
The relationship between altitude and boiling point is given below.
What is altitude?
Altitude is the height above sea level. It is usually measured with a barometer or GPS satellite. Altitude can be used to describe the height of an airplane, a mountain, or even the position of a satellite in space. Altitude can also be used to measure how high a person is standing on Earth. Altitude can also be used to compare the relative heights of two different points on Earth. Altitude is an important factor when flying, as it can determine air pressure, air temperature, and wind speed.
Sea Level 212°F
1,000 ft. 211°F
2,000 ft. 210°F
3,000 ft. 209°F
4,000 ft. 208°F
5,000 ft. 207°F
6,000 ft. 206°F
7,000 ft. 205°F
8,000 ft. 204°F
9,000 ft. 203°F
10,000 ft. 202°F
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Sally has 4 apples for school lunch, her friend asks if she can 2 apples for Sally's 4 apples. How many more apple would Sally have left after giving her friend 2?
Answer:Sally would have 2 apples left
Step-by-step explanation:Because 4-2=2 so she gave 2 away so she has 2 left.
(2x + 5) (4x − 3) (5x - 4) can be expanded and fully simplified to give an expression of the form ax³ + bx² + cx + d.
Work out the values of a, b, c and d.
Answer:
To expand (2x + 5) (4x − 3) (5x - 4), you can use the distributive property and the FOIL method.
The distributive property states that for any two algebraic expressions a and b, and for any two numbers x and y, (a+b)(x+y) = ax + ay + bx + by.
The FOIL method is a way to multiply two binomials. It stands for First, Outside, Inside, Last, and it involves multiplying the first term of the first binomial by the first term of the second binomial, the first term of the first binomial by the second term of the second binomial, the second term of the first binomial by the first term of the second binomial, and the second term of the first binomial by the second term of the second binomial.
Using these methods, you can expand (2x + 5) (4x − 3) (5x - 4) as follows:
(2x + 5) (4x − 3) (5x - 4) = (2x)(4x)(5x) + (2x)(4x)(-4) + (2x)(-3)(5x) + (2x)(-3)(-4) + (5)(4x)(5x) + (5)(4x)(-4) + (5)(-3)(5x) + (5)(-3)(-4)
This can be simplified to:
= 40x³ - 32x² - 60x³ + 48x² - 20x³ + 15x² + 60x - 20x + 100x² - 20x + 12
Combining like terms, we get:
= -12x³ + 143x² + 100x + 12
So, the values of a, b, c, and d are a = -12, b = 143, c = 100, and d = 12.
Step-by-step explanation:
What number will be multiplied to give -100 and be added to give 8
Answer:
-12.5
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
Which one of these is the same as 8 + (4 + 10)?
A. 8 × (4 + 10)
B. 8 + (10 + 4)
C. (8 + 4) + (8 + 10)
D. 8 + (4 × 10)
Answer:
[tex]i \: think \: no \:{{b}}[/tex]
B IS YIHR ANSWER
I HOPE IT HELPS
HAVE A NICE DAY
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30 + 10 ⋅ 5 – 45 ÷ 5
Answer:
71
Step-by-step explanation:
30+10×5-45÷5= 30+50-9=71
How many combinations of ice cream with a topping can be made if there are 3 kinds or ice cream and 5 toppings?
Answer: 15 Combinations
Step-by-step explanation: 5x3=15
Q2. The bakers at Healthy Bakery can make 170 bagels in 10 hours.
A. How many bagels can they bake in 13 hours?
Answer:
probably 510, not sure but you can try!
Step-by-step explanation:
Answer:
221 bagels.
Step-by-step explanation:
170 bagels are made in 10 hours.
So, Number of bagels baked in 1 hour = [tex]\frac{170}{10}[/tex]
= 17 bagels an hour
Number of bagels in 13 hours = Number of bagels made in an hour x 13
= 17 x 13
221 bagels will be made in 13 hours.
i do not understand how proportionality works
Answer:
3.5
Step-by-step explanation:
In this problem, the line's constant of proportionality is the same as its slope.
Slope is defined as rise / run (also notated as change in y / change in x).
Using the given point, we can deduce that the line's rise (change in y) is 3.5, and its run (change in x) is 1. Putting these values into the slope formula:
3.5 / 1 = 3.5
So, the constant of proportionality of this line is 3.5.
M
Explain why this is true
PLEASE HELP!!!
Answer:
The given statement is true because the person they did their steps correctly
a) Locate a point C so that ABC is a right triangle with m ACB ∠ = ° 90 and the measure of one of the acute angles in the triangle is 45° .
b) Locate a point D so that ABD is a right triangle with m ADB ∠ = ° 90 and
the measure of one of the acute angles in the triangle is30° .
c) Locate a point E so that ABE is a right triangle with m AEB ∠ = ° 90 and
the measure of one of the acute angles in the triangle is15° .
d) Find the distance between point C and the midpoint of segment AB .
Repeat with points D and E.
e) Suppose F is a point on the graph so that ABF is a right triangle
withm AFB ∠ =° 90 . Make a conjecture about the point F.
What are the properties of a 3 4 5 triangle?
The right angle with in 3-4-5 triangle is naturally 90 degrees. Always opposite the fourth side, at 53.13 degrees, are the other two angles: 36.87 degrees (just opposite the 3rd side).
Explain the 3 4 5 triangle and its properties?Specialized triangles, such as 3-4-5 triangles, can be solved using the Pythagorean theorem.
Any triangle with a single right (90°) angle is referred to as a right triangle. Typically, a tiny square marker is placed within the right triangle to denote this. In every right triangle, these two sides closest to the right angle are shorter than the hypotenuse, the side directly across from the right angle. A right triangle with integers on each side is known as a Pythagorean triple.Thus, this 3-4-5 right triangle is one of the most well-known Pythagorean triples. The hypotenuse, its longest side opposite its right angle, is measured at 5, while the shorter sides measure at 3 and 4.
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4(x+7)=38 what does x equal?
Answer:
2.5
Step-by-step explanation:
EASY POINTS!! EASY POINTS!!
NO LINKS OR FILES!!
Answer:
B
Step-by-step explanation:
‼️ help me it is due today Find the value of x.
58°
X°
‼️‼️‼️
Question 6 of 10
Which is the best estimate of the circumference of this circle?
3
OA. 18 units
OB. 42 units
OC. 3 units
O D. 6 units
The best estimate for the circumference of a circle with 3 units radius is equal to 18 units. The correct option is A.
Given the radius of the circle is equal to 3 units.
The formula for the circumference of the circle is equal to
[tex]C=2*\pi *r[/tex].
By substituting the value of the radius and pi we will get:
[tex]C=2*3.14*3\\C=18.86[/tex].
Therefore the best estimate will be 18 units.
Complete question:
Which is the best estimate of the circumference of this circle?
radius = 3 units.
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help i really don’t understand this
Answer:
45 degree
Step-by-step explanation:
45+45 90 +90 180
All triangles will have 180 degrees angle