what strategies can help you determine about unknown side when finding perimeter

Answer: 0.129 kg

Step-by-step explanation:

A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001

Answer:

C. 5/8

Step-by-step explanation:

A terminating decimal is a decimal that has a clear end. 5/8 as a decimal is 0.625. The rest have decimals that seemingly do not end.

Answer:

C. 12

Step-by-step explanation:

4×12 = 48 and 4 + 12 = 16

12 is the bigger number of the two.

The investment will be worth approximately $28,940 at age 67.  The average rate of return on the investment is approximately 5.59%.

To calculate the future value of an investment and the average rate of return, we'll consider two scenarios: one with monthly compounding and one with annual compounding.

1. Monthly Compounding:

Given that you earn 0.8% per month in the stock market, we can calculate the future value of your $10,000 investment when you reach age 67. Since we don't have the exact age, we'll assume it to be 21 years and 1 month for this calculation.

To calculate the future value with monthly compounding, we use the formula:

FV = PV * (1 + r)^n

Where:

FV = Future Value

PV = Present Value (initial investment)

r = Monthly interest rate

n = Number of compounding periods

In this case, PV = $10,000, r = 0.008 (0.8% monthly interest rate), and n = (67 - 21) * 12 (number of months from age 21 to 67).

Using the formula, we can calculate the future value:

FV = $10,000 * (1 + 0.008)^((67 - 21) * 12)

We can simplify the equation and calculate the value:

FV ≈ $10,000 * (1.008)^576

FV ≈ $10,000 * 2.894

FV ≈ $28,940

Therefore, the investment will be worth approximately $28,940 at age 67.

2. Annual Compounding:

Given that the value of your $10,000 investment at age 67 is $350,000, we can calculate the average rate of return over the investment period.

To calculate the average rate of return, we use the formula:

Average Rate of Return = (FV / PV)^(1/n) - 1

Where:

FV = Future Value

PV = Present Value (initial investment)

n = Number of years

In this case, FV = $350,000, PV = $10,000, and n = 67 - 21 (investment period).

Using the formula, we can calculate the average rate of return:

Average Rate of Return = ($350,000 / $10,000)^(1 / (67 - 21)) - 1

To solve the equation for the average rate of return:

Average Rate of Return = ($350,000 / $10,000)^(1 / 46) - 1

We can simplify the equation:

Average Rate of Return = 35^(1 / 46) - 1

Using a calculator, we can evaluate the expression:

Average Rate of Return ≈ 0.0559

Therefore, the average rate of return on the investment is approximately 5.59%.

Learn more about average here:

https://brainly.com/question/8501033

#SPJ11

Answer:

answer is attached

The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments 500x + 900y + 1500z = 750,000

formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

learn more about of apartment here

https://brainly.com/question/22674586

#SPJ4

Answer:

Rational

Step-by-step explanation:

Because irrational numbers cannot be expressed as a fraction

The distance between the two given points in simplest form is

5. \(\text { Distance }=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

The distance between two points with coordinates

(-3,6) and (-3,-3) is:

HC =9.00 units

(results are in decimal form, rounded to the nearest 100th)

6. \(\text { Distance }=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

The distance between two points with coordinates

(9,-2) and (10,-1) is:

EG =1.41 units

(results are in decimal form, rounded to the nearest 100th)

In this question, we are given two points and we need to find the distance between them in radical form. Therefore, we need to find the distance keeping the square root sign. For this we will generally use the distance formula. The distance between two points \($ \left( {{x}_{1}},{{y}_{1}} \right)\text{ and }\left( {{x}_{2}},{{y}_{2}} \right) $\) is given by the formula, \($ d=\sqrt{{{\left( {{x}_{2}}-{{x}_{1}} \right)}^{2}}+{{\left( {{y}_{2}}-{{y}_{1}} \right)}^{2}}} $\) . We will solve the squares and add them but we will not solve the square root so that it remains in radical form.

Learn more about distance https://brainly.com/question/15172156

#SPJ9

Answer:

x = 2

Step-by-step explanation:

Using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\)

Note that 49 = 7² and 343 = 7³

Consider the left side, that is

\(\frac{7^{2x+1} }{7^2}\) = \(7^{(2x+1-2)}\) = \(7^{(2x-1)}\) , thus

\(7^{(2x-1)}\) = 7³

Since bases on both sides are equal, equate the exponents, that is

2x - 1 = 3 ( add 1 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Answer:

A

Step-by-step explanation:

In pattern A, we see that each number is 3 more than the one before it. B is incorrect because the pattern is +9. C is incorrect because the numbers in Pattern A is 3x Less than the corresponding numbers in Pattern B. D is incorrect because the numbers in Pattern B are 3x more than the numbers in Pattern A.

Hope this helps!

Answer:

Yes I agree with the person above because pattern A is adding by 3.

Answer:

x=32

Step-by-step explanation:

a) A symbol with a frequency of at least 0.4 will never be encoded with two or more bits. - True

b) A symbol with a frequency of at least 0.5 will never be encoded with two or more bits. - False

c) If all symbol frequencies are less than 0.33, all symbols will be encoded with at least two bits. - False

d) If all symbol frequencies are less than 0.5, all symbols will be encoded with at least two bits. - True

a) The Huffman greedy algorithm assigns shorter codes to symbols with higher frequencies. Therefore, a symbol with a frequency of at least 0.4 will never be encoded with two or more bits because it has a higher frequency and will be assigned a shorter code.

b) This statement is false. The Huffman greedy algorithm does not guarantee that a symbol with a frequency of at least 0.5 will always be encoded with a single bit. The encoding depends on the distribution of frequencies and the construction of the Huffman tree.

c) This statement is false. If all symbol frequencies are less than 0.33, it is possible that some symbols will be encoded with a single bit if they have a high frequency, while others may be encoded with more than two bits depending on their frequencies.

d) This statement is true. If all symbol frequencies are less than 0.5, the Huffman greedy algorithm guarantees that all symbols will be encoded with at least two bits. This is because the algorithm assigns shorter codes to symbols with higher frequencies, and since all frequencies are less than 0.5, none of the symbols will have a high enough frequency to be encoded with a single bit.

To learn more about Huffman greedy algorithm click here:

brainly.com/question/29898146

#SPJ11

Answer:

Ok so we just need to plug in -1 for x so

3(-1)^2-5(-1)

-3^2-(-5)

9+5

14

Hope This Helps!!!

Answer:

3x squared - 5x = -2

Step-by-step explanation:

If x is -1, then replace all xs with -1. -5 x -1 = -5, 3 x -1 squared = 3. 3 - 5 = -2

Answer:

$40.44

Step-by-step explanation:

6% of 674 = 0.06 × 674 = 40.44

If angle b is five times the size of angle c, the equation can be used to find the measure of angle is 5x+x=90°.

because complementary angles complete each other to 90 degrees.

These angles b and c add up to 90° because they are complementary.

Let's say angle C is named x.

angle b is five times the size of angle c, this can be written: 5x

Complementary angles add up 90°, so angle B add angle C equal 90°

the equation to find the measure of angle C is 5x+x = 90°.

Types of angles are one of the materials in mathematics that you always encounter at every level of education. Learning about angles is very important, because angles are always present in everyday life and need to be identified.

An angle is a shape formed by two rays having an endpoint at one point. In angles, terms such as the leg of the angle, vertex, and area of the angle are also found.

The legs of the angle are the lines forming the angle. The vertex is the point where the two legs of the angle intersect, and the area of the angle is the area bounded by the two legs of the angle.

Your question is incomplete but most probably your full question was:

Only Interaction Angle B and angle C are complementary: If angle B is five times the size of angle C which equation can be used to find the measure of angle C?

5x+x=180

5x = 180

5x+x=9

5x = 90

Learn more about angle in math at

https://brainly.com/question/14569348.

#SPJ4

Answer:

2

Step-by-step explanation:

Subtract -7--5=-2, there can not be a length on a rectangle of -2 so it would just be 2.

Answer:

2

Step-by-step explanation:

Given:

The distance between 63 feet above sea level and 48 feet below sea level.

To find:

The ​absolute value expression for the given situation.

Solution:

We have,

Distance above the sea level = 63 feet

Distance below the sea level = -48 feet

Here, negative sign represents the distance in below the sea level.

So, absolute value expression that can be written to determine the distance between 63 feet above sea level and 48 feet below sea level is

\(Distance=|63-(-48)|\)

\(Distance=|63+48|\)

\(Distance=|111|\)

\(Distance=111\)

Therefore, the required absolute expression is \(|63-(-48)|\) and distance is 111 feet.

Answer:

the correct answer is B

Step-by-step explanation:

$2.29 is the cost of a notebook.

Here, we have,

given that,

Jack bought 3 pencils and 4 notebooks and paid a total of $10.93. Sara bought 5 pencils and 2 notebooks and paid a total of $7.53.

let, the cost of a notebook = n

the cost of a pencil = p

we would solve this with simultaneous equations,

so if we write it as:

4n + 3p = 10.93

2n + 5p = 7.53

=> we get,

multiplying the equations by 5 and 3, we get,

20n + 15p = 54.65

6n + 15p = 22.59

(subtract)

14n = 32.06

divide both sides by 14,

14n ÷ 14 = 32.06÷ 14

n = 2.29

notebooks = 2.29

So the final answer is notebooks are $2.29.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer:

31

Step-by-step explanation:

Answer:

infinity

Step-by-step explanation:

No fr it is that i even double checked by looking it up

If (x,y) is a solution to equations y = x²  and  2y+6 = 2(x+3) , then the value of xy is (a) 1  .

The values of x and y are solutions to two equations:

⇒ y = x²   ....equation(1)

⇒ 2y + 6 = 2(x + 3)    ....equation(2)

To find the value of xy, we first need to find the values of x and y which satisfy both equations.

We can put value of y from the equation(1) into the equation(2) :

⇒ 2y + 6 = 2(x + 3)

⇒ 2x² + 6 = 2(x + 3)

⇒ 2x² + 6 = 2x + 6

⇒ 2x² - 2x = 0

⇒ 2x(x - 1) = 0

that means either "2x=0"   or "x-1=0" ;

⇒   x = 0  or x = 1 .

when x = 1  , we have y = (1)² = 1 .

So , the product is = 1 × 1 = 1 .

Therefore , the value of xy is (a) 1  .

The given question is incomplete , the complete question is

If (x,y) is a solution to equations y = x²  and  2y+6 = 2(x+3) , what is the value of  xy ?

(a) 1

(b) 2

(c) 3

(d) 9

Learn more about Solutions here

https://brainly.com/question/25358733

#SPJ4

Answer:

3 units

Step-by-step explanation:

The midpoint of P and Q is -2, the midpoint of R and S is 1, the total distance between -2 and 1 is three

|-2| + |1| = 3

Answer:

(2,5)

Step-by-step explanation:

y= 4x-3

y=-2x+9

-------------------------

 4x-3=-2x+9

6x-3=9

6x=12

x=2

-----------------

y = 4(2)-3

y =8 -3

y=5

(2,5)

Answer:

1st box: 6x - 3 = 9

2nd box: 6x = 12

3rd box: x = 2

4th box: y = 4(2) - 3

5th box: y = 8 - 3

6th box: y = 5

Step-by-step explanation:

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

Uh, I think I did this one… good luck ;p

Answer:

The correct ansewer is 3,065.81

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

The equation of the curve that passes through the point (1, 8) and has the gradient function 3x² + 5x⁴ is y = x³ + x⁵ + 6

In this problem, we are given the gradient function 3x² + 5x⁴ and the point (1, 8) through which the curve passes. To find the equation of the curve, we need to integrate the gradient function and add the constant of integration. Let's start by integrating 3x² + 5x⁴:

∫(3x² + 5x⁴)dx = x³ + x⁵ + C

where C is the constant of integration.

Now we have the general equation of the curve, but we need to find the specific value of C that will give us the curve that passes through the point (1, 8). We can do this by plugging in the values of x and y into the equation:

8 = 1³ + 1⁵ + C

8 = 1 + 1 + C

C = 6

Therefore, the equation of the curve is:

y = x³ + x⁵ + 6

To know more about equation here

https://brainly.com/question/10413253

#SPJ4

Answer:

the answer is -4,-1

Step-by-step explanation:

y1-y2

x1-x2

Answer:

M=-10x/b+3/b

Step-by-step explanation:

(i) For the point (-1, -3-√): r=2, θ=4π/3 | (ii) For the point (-1, -3-√): r=-2, θ=π/3 | For the point (-2, 3): (i) r=√(13), θ=  | (ii) r=-√(13), θ=

(i) For the point (-1, -3-√) with r > 0 and 0 ≤ θ < 2π:

r = 2

θ = 4π/3

(ii) For the point (-1, -3-√) with r < 0 and 0 ≤ θ < 2π:

r = -2

θ = π/3

For the point (-2, 3):

(i) With r > 0 and 0 ≤ θ < 2π:

r = √(13)

θ =

(ii) With r < 0 and 0 ≤ θ < 2π:

r = -√(13)

θ =

Learn more about polar coordinates

brainly.com/question/31904915

#SPJ11