A population of 210,000 people is increasing by 15% each year. How much will the population be in 5 years?

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]

Answer:

144

Step-by-step explanation:

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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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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Answer:

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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.

Answer:

You are in fact correct

Step-by-step explanation:

mark brainliest plss

Answer:

yes

Step-by-step explanation:

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:

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

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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[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.

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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Answer:

The point, (0.0). is the ordered pair at the origin.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

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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Answer: 5.474 m

Step-by-step explanation:

first jump = 4.25

best jump = first jump * 1.12

winning jump = best jump *1.15

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.

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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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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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.

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.

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!

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)

The values of x and y, given the angles, can be found to be :

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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(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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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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Answer:

AC = PF

Step-by-step explanation:

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