Find the common ratio for the following sequence.

27, 9, 3, 1, ...

Answers

Answer 1

Answer: The following ratio would be 1/3. Its a fraction so you would also be able to say 1.3. :)

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You have purchased a new warehouse. To finance the purchase, you’ve arranged for a 25-year mortgage for 75 percent of the $4,200,000 purchase price. The monthly payment on this loan will be $18,300. What is the APR on this loan? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
What is the product of -9 and -15? 135 -135 -24 24

The area of a square is 1 square foot. What is the length of each side of the square?a. 1 ft.
b. 2 ft.
c. 3 ft.
d. 4 ft.

Answers

3 because there are four sides so 3+3+3+3=12

3,9,6,9,27,24,27,81,78,81,243,?find out last figure to complete series

Answers

the next number is 240

A town has a population of 11000 and grows at 4% every year. What will be the population after 15 years, to the nearest whole number?

Answers

The population after 15 years, to the nearest whole number is 17600.

What is meaning of Percentage Increase ?

The percentage increase is calculated by first calculating the difference(increase) between the two numbers and then multiplying it by 100. The answer is noted in % .

It is given in the question that

A town has a population of 11000

It grows at 4% every year.

the population after 15 years = ?

The population increase can be determined by the formula of Amount used in Simple Interest

P₁₅ = P₀ + ( P₀ * 0.04 * 15)

P₁₅ = 11000 + (11000* 0.04 * 15)

P₁₅ = 17600

Therefore the population after 15 years, to the nearest whole number is 17600.

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Answer:

19810

Step-by-step explanation:

Point I is on line segment H
J
‾
HJ
. Given
I
J
=
3
x
+
3
,
IJ=3x+3,
H
I
=
3
x
−
1
,
HI=3x−1, and
H
J
=
3
x
+
8
,
HJ=3x+8, determine the numerical length of
H
J
‾
.
HJ
.

Answers

Answer:

Step-by-step explanation:

the answer is 14

Write an equation to express the value of h + k

Answers

so since, they are the same distance from zero, they should be the oppposite of each other so in other words, k=-h and h=-k

so k+h=(subisute)k-k=-h+h=0 because they cancel

The answer you want is 0, let's say h=-1 that means k=1 so -1+1=0

What are the solutions of this quadratic equation? x^2+13=8x+37

Answers

The solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The given equation as:

x² - 8x + 13 = 37

Subtracting 37 from both sides, we get:

x² - 8x - 24 = 0

Now, we have the equation in standard form, so we can use the quadratic formula to find the solutions:

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = -8, and c = -24.

Substitute these values into the quadratic formula, and we get:

x = (-(-8) ± √((-8)² - 4(1)(-24))) / 2(1)

x = (8 ± √(64 + 96)) / 2

x = (8 ± √160) / 2

x = (8 ± 4√10) / 2

Simplifying, we get:

x = 4 ± 2√10

Therefore, the solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

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Answer:

$x\in\left\{4-2√(10)\ ,\ \,4+2√(10)\,\right\}$

Step-by-step explanation:

$x^2+13=8x+37\n\nx^2-8x-24=0\n\na=1\,,\ \ b=-8\,,\ \ c=-24\n\nx_1=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8-√(64+96)}2=\frac{8-√(160)}2 =\n\n=\frac{8-4√(10)}2=\frac{2(4-2√(10))}2=4-2√(10) \n\nx_2=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8+4√(10)}2=4+2√(10)$