According to the compound interest formula, the population is 5 years is 422,385.
The term compound interest in math is defined as the interest calculated on the principal and the interest accumulated over the previous period.
Here we have given that the population of 210,000 people is increasing by 15% each year.
And then while looking into the given question, we have identified that the value of
interest rate = 15%
principal count = 210,000
time period = 5
Here we have to convert R as a percent to r as a decimal, then we get
=> r = R/100
=> r = 15/100
=> r = 0.15 rate per year,
Now, we have to solve the equation for A
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
Apply the values on it , then we get,
[tex]A = 210,000.00(1 + \frac{0.15}{1} )^{(1)(5)}[/tex]
When we simplify this one then we get
[tex]A = 210,000.00(1 + 0.15)^5[/tex]
Therefore, the value of A is 422,385.
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You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make
a 48 degree angle to look up at the cat. How high is the cat?
Answer:
11.1 feet
Step-by-step explanation:
person = B cat = C
C
/ |
/ | x
B /_48]________ ______|
|____10ft____|
since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve. (make sure to be in degrees lol)
tangent ( 48) = x/10
10 * tan(48) = x
11.1 = x
The cat is 11.1 feet high.
seven pounds of fertilizer can cover 1400 square feet.canbe covered by 2 pounds of fertilizer
The area for 2 pounds of fertilizer is 400 square feet
How to determine the amount of fertilizer for 2 pounds?
From the question, we have the following parameters that can be used in our computation:
seven pounds of fertilizer can cover 1400 square feet
This means that
7 pounds of fertilizer = 1400 square feet
Divide both sides of the equation by 7
So, we have the following representation
1 pounds of fertilizer = 200 square feet
Multiply both sides of the equation by 2
So, we have the following representation
2 pounds of fertilizer = 400 square feet
Hence, the area is 400 square feet
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Can someone confirm if I am correct or not?
Answer:
You are in fact correct
Step-by-step explanation:
mark brainliest plss
Answer:
yes
Step-by-step explanation:
Sara is building a garden box to plant flowers. For which measurement would she need to find the area?
Answer:
A
Step-by-step explanation:
Answer: B: the length of the wooden sides of the garden box
Step-by-step explanation:
because if she is going to plant flowers she will need to know how big the box she would need for her plants
What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?
The equation of a parabola that intersects the x-axis at points (-1, 0) and
(3, 0) is y = x² - 2x - 3.
What is a parabola?
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.
Since the parabola intersects x-axis at points (-1,0) and (3,0), the parabola has its axis parallel to y-axis.
The general equation for such parabola is,
y = ax² + bx + c
The roots of the quadratic equation is found when y = 0
We know that when y = 0, x = -1 , 3
So (x+1) (x - 3) = 0
Solving the above equation we can find the equation of parabola
x² - 3x + x -3 = y
Therefore y = x² - 2x- 3 is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0).
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For questions 8 and 9, determine if S could lie on the perpendicular bisector of QR with the
given coordinates.
8. Q(-5, -1), R(3, 7), S(4,-2)
9. Q(-5, 4), R(8. -3), S(-2. -5)
Yes S lies as the perpendicular bisector as asked in the question .
The distance is calculated with the use of distance formula,
d = √( x2 - x1 )² + ( y2 - y1 )²
Now , we are suppose to calculate the distance between the points S and R, given their values are ,
S=(4,-2) and
R=(3,7)
Using distance formula ,
d = √( 3 - 4 )² + ( 7 - (-2))²
d = √ 1 + 81
= √82
Now, the distance between Q and S can be found as ,
Q=(-5,-1)
S=(4,-2)
d = d = √(4 + 5)² + ( -2 + 1)²
d = √ 81 + 1
= √82
As the distance between the two ends of the segment and the point S is the same, the point S must lie on the perpendicular bisector of QR, according to the perpendicular bisector theorem.
For question number 9 the distance between Q and S are,
Q=(-5,4)
S=(-2,-5)
d = √( -2 -5)² + ( 5 - 4)²
d = √ 9 + 1
= √10
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Simplify the below expression.
Step-by-step explanation:
3^0=1
3^2=9
[tex] \frac{1}{9} [/tex]
plz mark as brainliest
Answer:
1/9
Step-by-step explanation:
When dividing terms with exponents, you subtract the exponents.
3⁰/3² = 3⁰⁻² = 3⁻² = 1/9
Therefore, the simplified expression is 1/9.
evaluate the expression 27 2/3
Answer: 9
Step-by-step explanation: Simplify the expression = 3 *3 ( 2 /3 )
Cancel the common factor of 3 = 3*3
Raise 3 to the power of 2 = 9
The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The mixed fraction number is given below.
⇒ 27 ²/₃
Convert the mixed fraction number into a decimal number. Then we have
⇒ 27 ²/₃
⇒ 27 + ²/₃
⇒ 27 + 0.667
⇒ 27.667
The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.
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HELP ASAP PLS 50!!!!
Identify or mark the missing side or angle that would make triangle ABC a congruent to triangle PDF by SAS
Answer:
AC = PF
Step-by-step explanation:
Which of the statements best describe the origin on the coordinate system?
1. The X and y-axes intersect at the origin.
Il. The origin is the distance from right to left.
III. The point, (0.0). is the ordered pair at the origin.
IV. The origin is the distance from top to bottom
Answer:
The point, (0.0). is the ordered pair at the origin.
Step-by-step explanation:
Sarah competes in a long jump competition.
Her first jump is 4.25m
Her best jump is 12% more than this
However her best jump is 15% lower than the winning jump
Work out the length of the winning jump
Answer: 5.474 m
Step-by-step explanation:
first jump = 4.25
best jump = first jump * 1.12
winning jump = best jump *1.15
Jon invested $5,000 dollars into an account with an interest rate of 15% compounded continuously. Approximately how long will it take the investment to triple? A=P(1±rn)nt Group of answer choices
The time for it take the investment to triple will be 8 years.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
The principal amount = $5,000
The interest rate = 15%
The total amount after x years = 3 x $5,000
= $15,000
Now,
We know that, the formulate for total amount is,
⇒ [tex]A = P (1 + r)^x[/tex]
Substitute all the values we get;
⇒ [tex]A = P (1 + r)^x[/tex]
⇒ 15,000 = 5,000 (1 + 0.15)ˣ
⇒ 3 = (1.15)ˣ
Take log,
⇒ log 3 = x log 1.15
⇒ 0.47 = x × 0.06
⇒ x = 8 years
Thus, The time for it take the investment to triple will be 8 years.
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please help mee!!Will mark brainlyist if right:)
Answer:
[tex]opposite \approx 147[/tex]
Step-by-step explanation:
To solve this problem one can use the trigonometric ratios, these ratios are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
In this problem, one is given the adjacent side, and is asked to find the opposite side, thus use the function ([tex]tan[/tex]). Substitute in the given value and solve,
[tex]tan(52)=\frac{opposite}{115}[/tex]
Inverse operations,
[tex]115(tan(52))=opposite[/tex]
Solve,
[tex]147 \approx opposite[/tex]
Find the Area of the parallelogram.
12 in.
15 in.
18 in
Is 2x³ a polynomial?
[tex]2xA^{3}[/tex] is a polynomial as a result. Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.
what is a polynomial ?In mathematics, a polynomial is an expression made up of variables (also known as indeterminates) and coefficients that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).
given
[tex]2xA^{3}[/tex] is a polynomial as a result. Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.
It is impossible to classify an expression as a polynomial if it contains a variable with exponents that are negative or fractional, divides by a variable, or is included inside a radical.
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Solve: 51 ÷ [(-15) + (-2)
Find the value of x in the Diagram Below.
Find the area. Simplify your answer.
Giving brainlist to whoever answers
Answer:
19 ( i think)
Step-by-step explanation:
1/8*(5/5)= 5/40
2/5*(8/8)= 16/40
16/40 + 5/40 =21/40
40-21= 19
Answer:
19 houses
Step-by-step explanation:
Is x 3 a factor of the polynomial x^3 3x^2 4x 12?
(x - 3) is a factor of the polynomial f(x) = x³ - 3x² + 4x - 12 since f(3) = 0.
To solve the problem, recall the factor theorem.
Factor Theorem states that if we have a polynomial f(x) and if (x - a) is a factor of f(x), then f(a) = 0
The given function is:
f(x) = x³ - 3x² + 4x - 12
To see whether x - 3 is a factor of f(x) = x³ - 3x² + 4x - 12, we need to find f(3).
Substitute x = 3 into f(x):
f(3) =3³ - 3(3)² + 4(3) - 12
f(3) = 27 - 27 + 12 - 12
f(3) = 0
Since f(3) = 0, then x -3 is a factor of x³ - 3x² + 4x - 12
Your question is incomplete, but most probably your question was:
Is x - 3 a factor of the polynomial x³ - 3x² + 4x - 12?
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Your neighbor pays you $17 for every two hours of work how many hours do you work if you earn $42.50
Answer:
To find the number of hours you work, you need to set up an equation using the information given. Let's say that the number of hours you work is x. The equation would be:
17(x/2) = 42.50
The parentheses around x/2 indicate that the division should be done before the multiplication. So, x/2 = 2.5. Multiplying both sides of the equation by 2 gives us:
x = 5
So, you work 5 hours.
Step-by-step explanation:
So, we know that you earn $17 per 2 hours. We also know that we earned $42.50. Now, we just need to find the hours! We can do this by using a cross multiply.
$17 is directly correlated to 2 hours of work. Therefore, to find the hourly wage we should divide it by 2:
$8.5 = 1 hour
$42.50 = x hours?
Now cross multiply:
$8.5x = $42.50
x = 5 hours
Therefore, your answer is 5 hours!
Hope this helps!
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
Answer:
d
Step-by-step explanation:
Is gram equal to mole?
No, 1 gram is not equal to 1 mole. The numerical values of mole and gram are different for an object.
What is 1 gram?
Avogadro number of atoms makes up one mole. It is possible to convert a mole into grams if you know the mole quantity.
Mole: The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.02214076×10²³ elementary entities.
The relation between gram and mole is
1 gram = Mole × atomic weight.
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Find the values of x and y.
The values of x and y, given the angles, can be found to be :
x = 13y = 20How to find the values of x and y ?The parallel line is drawn such that ( 7 y - 12 ) degrees and ( 6 y + 8 ) degrees are equal to each other.
In the same vein, 4x degrees and 6x - 26 degrees are the same as well. This is because they are vertical angles.
The value of x is:
4x = 6x - 26
6x - 4 x = 26
2x = 26
x = 26 / 2
x = 13
The value of y is :
7 y - 12 = 6 y + 8
7y - 6 y = 8 + 12
y = 20
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If the simple interest on a sum of a money invested at 3. 5% per annum for 44 years is birr 420, find the principal
As per the given simple interest, the principal amount is $165.35.
The term simple interest in math is defined as the interest charge on borrowing that's calculated using an original principal amount only and an interest rate that never changes.
Here we have given that If the simple interest on a sum of a money invested at 3. 5% per annum for 44 years is birr 420.
Therefore, through the given question we have identified the value of
interest rate = 3.5%
time period = 44
sum amount = 420.
Then the principal amount is calculated by using the formula of simple interest as,
P = A / (1 + rt)
Here first we have to convert R percent to r a decimal, then we get
r = R/100 = 3.5%/100 = 0.035 per year.
Now, we have to apply the values on the equation and then we have to solve our equation, then we get
P = 420 / ( 1 + (0.035 × 44)) = 165.35433070866
P = $165.35
Therefore, the principal investment required to get a total amount, principal plus interest, of $420.00 from simple interest at a rate of 3.5% per year for 44 years is $165.35.
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NEED HELP THX ASAP !! LOOK AT PICTURE
Answer:
(0, 4)
Step-by-step explanation:
If x = 0, 4(3^x) = 4(3^0) = 4(1) = 4. So the y-intercept is (0, 4)
I need help.
The truth is, I don't know why the Brainly appears in English, if I needed it in Spanish. So, homework is in Spanish. I really need the help because I'm very behind in math. Thanks. And sorry for the horrible traduction. I'm so bad at english.
Answer:
Hey you can login in Spain Server if you find difficulty here
you do mot have to exsplain the answer i just wat the correct answer
no links please
Answer:
144
Step-by-step explanation:
Please I need help on this problem
Answer:
148
Step-by-step explanation:
180 is the whole thing and if the inner of one is 16 then the other one is also 16 so u add this and subtract 180-32=148
(16+16=32)
Answer:
C. x=42
Step-by-step explanation:
First find the measurement of missing angles. 126+16=142
180-142=38
Now, 16, 3x and 38 should add up to 180 because it is a line.
16+38+3x=180
54+3x=180
Solve for x.
3x=126
3 = 3
x=42. Hope this helps.
You have $9 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=9$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand sanitizer?
Answer:
6 tubes of lip balm
Step-by-step explanation:
We can start solving this problem by isolating the variable x.
Given the equation 1.5x + 2.5y = 9, and we know that y = 0 (because we're not buying any bottles of hand sanitizer), we can substitute this into the equation:
1.5x + 2.5(0) = 9
Simplifying this, we get:
1.5x = 9
To solve for x, we can divide both sides of the equation by 1.5:
x = 9/1.5
x = 6
So we can buy 6 tubes of lip balm if we do not buy any bottles of hand sanitizer