Use the formula for the amount, a = p(1 + rt), to find the indicated quantity.
p = $4,100; r= 12%; t= 2 quarters; a = ?

The equation \(\frac{y+6}{y-1}+\frac{y-4}{y^2-y} = \frac{1}{y-1}\) when solved for y is -3 ± √13

From the question, we have the following parameters that can be used in our computation:

\(\frac{y+6}{y-1}+\frac{y-4}{y^2-y} = \frac{1}{y-1}\)

Simplify the denominators

So, we have

\(\frac{y+6}{y-1}+\frac{y-4}{y(y-1)} = \frac{1}{y-1}\)

This gives

y + 6 + (y - 4)/y = 1

Subtract 1 from both sides

y + 5 + (y - 4)/y = 0

So, we have

y² + 5y + y - 4 = 0

Evaluate

y² + 6y - 4 = 0

When solved, we have

\(y = \frac{-b \pm \sqrt{b^2 -4ac} }{2a}\)

So, we have

\(y = \frac{-6 \pm \sqrt{6^2 -4(1)(-4)} }{2(1)}\)

Evaluate

\(y = \frac{-6 \pm \sqrt{52} }{2}\)

Evaluate

\(y = -3 \pm \sqrt{13}\)

Hence, the solution is -3 ± √13

Read more about equations at

https://brainly.com/question/148035

#SPJ1

Answer:

f(2)=g(0) and f(0)=g(4)

3rd option for the second pic

Answer:

B and D

Step-by-step explanation:

quadrilaterals only have 4 sides hence the prefix quad

Answer:

B and D

Step-by-step explanation:

C has five sides and A has three sides with a curve, curve doesn't count as a side

The null hypothesis would state that the population mean number of cups of coffee that women would drink 32% the population mean number cups of coffee than men drink.

The term "percentage" comes from the Latin phrase "per centum," which means "by the hundred." With 100 as the denominator, percentages are fractions. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam received 30% on his math test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

A certain number or quantity in every hundred is referred to as a percentage. It is a fraction, and the denominator is 100.

In order to learn more about percentage, visit:

https://brainly.com/question/29306119

#SPJ4

Answer: 640

Step-by-step explanation:

8 x 8 x 9 + 1/3 (8 x 8 x 3)

= 640  in cubic ft

The volume in cubic feet of space the tent occupies will be 640 cubic feet.

The steps are as follow:

Length = 8 ft.

Width = 8 ft.

height = 9 ft.

Length = width = 8 ft.

height = 3 ft.

volume of cuboid = length x width x height

volume of cuboid = 8 x 8 x 9

volume of cuboid = 576 cubic ft

volume of square pyramid = (length x length x height) / 3

volume of square pyramid = (8 x 8 x 3) / 3

volume of square pyramid = 64 cubic ft.

volume of cuboid + volume of square pyramid = 576 + 64

Total volume of space = 640 cubic feet

So the volume in cubic feet of space the tent occupies will be 640 cubic feet

Learn more about Cuboid and Square pyramid here:

https://brainly.com/question/10042135

#SPJ2

The computation shows that the number of years ruled is 41 years.

From the information, Octavian became the emperor of Rome in 27 B.C and he ruled until his death in A.D. 14.

Therefore, the number of years that he rules will be:

= 14 - (-27)

= 14 + 27

= 41

Therefore, the number of years will be 41.

Learn more about computations on

brainly.com/question/4658834

#SPJ1

A simple random sample of 31 observations is derived from a normally distributed population with a known standard deviation of 2.3.  A, B, C, D.

a. Yes, the condition that X−X− is normally distributed is satisfied as the sample size is large (n=31) and the population is assumed to be normally distributed.

b. The margin of error with 99% confidence is approximately 0.88 (rounded to 2 decimal places).

c. The margin of error with 95% confidence is approximately 0.72 (rounded to 2 decimal places).

d. The margin of error with 99% confidence (0.88) will lead to a wider interval compared to the margin of error with 95% confidence (0.72), as a higher confidence level requires a larger margin of error to account for greater uncertainty.

Learn more about “margin of error“ visit here;

https://brainly.com/question/29101642

#SPJ4

Answer:

Step-by-step explanation:

solving by elimination means to get rid of one of the variables,  pick either one,  X or Y  and use the other equation to make it zero.

3x - y = 5

4x + y = 9

+______  add the two equations, column for column,

7x + 0y = 14

now solve for x,  that is, get x by itself

7x / 7 = 14/7

x = 2

Now that you've solved for x,  plug that x into either equation.

3(2) - y = 5

6-y = 5

6-5 = y +5-5

1 = y

Now you have both :)

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

\(\to 48x^2 : 64x^4 :: x : 36x^2\)

To Find:

x=?

Solution:  

\(\to 48x^2 : 64x^4 :: x : 36x^2\)

\(\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\\)

cross multiply:

\(\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27\)

Therefore, the answer is "27".

Learn more:

brainly.com/question/12149603

The limit does not exist.

In order for such a limit to occur, the fraction \(\frac{x^{2} }{x^{2} +y^{2} }\) must be comparable to the same value \(L\), regardless of the way we take to get there \((0,0)\).

Try approaching \((0,0)\) along the x-axis.

This means setting \(y=0\) and finding the limit \(lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }\).

We obtain:

\(lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1\)

Now evaluate approaching \((0,0)\) along the y-axis.

This means setting \(x=0\) and finding the limit \(lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }\).

\(lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0\)

Approaching the origin via these two methods results in distinct limits.

\(lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }\) ≠ \(lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }\)

Therefore the limit does not exist.

Know more about limits here:

https://brainly.com/question/1521191

#SPJ4

The correct question is given below:

Find the limit, if it exists, or show that the limit does not exist.

\(lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }\)

Answer:

i think it's c i hope it's right

Step-by-step explanation:

Answer:

You always start with the parenthesis.

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

The surface area of the regular pyramid is 151.9 m².

The surface area of the regular pyramid can be found as follows:

surface area of the pyramid = A + 1 / 2 ps

where,

Therefore,

A = 61.9 m²

p = 6 × 5 = 30 m

s = 6m

Hence,

surface area of the pyramid = 61.9 + 1 / 2 × 30 × 6

surface area of the pyramid = 61.9 + 180 / 2

surface area of the pyramid = 61.9 + 90

surface area of the pyramid = 151.9 m²

learn more on pyramid here: https://brainly.com/question/10285044

#SPJ1

The shape of the sampling distribution of sample means it approaches a normal distribution. (option d).

The shape of the sampling distribution of sample means is determined by the size of the sample. As the sample size increases, the shape of the distribution approaches a normal distribution. This is known as the Central Limit Theorem (CLT).

The CLT states that, regardless of the population's distribution, the sampling distribution of sample means will be approximately normal as the sample size increases. This means that even if the population is not normally distributed, the distribution of the sample means will still be normal as long as the sample size is large enough.

The reason for this is that as the sample size increases, the variability of the sample means decreases. This is because the sample means tend to cluster around the population mean, making the distribution more concentrated and less spread out. As a result, the distribution becomes more symmetrical and bell-shaped, resembling a normal distribution.

Therefore, the correct answer to the multiple-choice question is d) it approaches a normal distribution.

To know more about distribution here

https://brainly.com/question/31197941

#SPJ4

The inputs that are solutions for the inequality are:

x = 2

x= 1

Here we have the following inequality:

-5x < 2

We want to see which of the given inputs is a solution for this.

First we can isolate the variable in our inequality, so we get:

-5x < 2

-2 < 5x

-2/5 < x

-0.4 < x

So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:

x = 1

x = 2.

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

Step-by-step explanation:

you know that QPS adds up to 47

so the sum of RPS and QPR shoukd = 47

(3x - 38) + (7x - 95) = 47

you then solve for x then you can use that to find QPR

Answer:

E

Step-by-step explanation:

Here, we want to find the area of the shaded portion on the graph.

That would be P(-1.2<z<0.85)

we complete this by checking these values on the standard score table as follows;

P( z< 0.85) - P(z<-1.2) = 0.68727

The three division expressions that are each equivale to 35.78 ÷ 6 is 0.5933\(\times10^1\), 59.33\(\times10^{-1}\) and 59.33\(\times10^{-2}\).

In the given question we have to use the powers of 10 to write three division expressions that are each equivale to 35.78 ÷ 6.

The given expression is 35.78 ÷ 6

To express in power of 10 we have to firstly simplify the given expression.

To simplify the given expression we have to divide the 35.78 by 6.

So 35.78 ÷ 6 =5.9633

To express in the power of 10 we move the decimal point left and right.

When we move left the power is positive and when move right power is negative.

The first expression is 0.5933\(\times10^1\)

The second expression is 59.33\(\times10^{-1}\)

The third expression is 593.3\(\times10^{-2}\)

To learn more about power of 10 link is here

brainly.com/question/28545140

#SPJ1

The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.

To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.

Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.

The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.

In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.

To know more about probability, refer to the link below:

https://brainly.com/question/13941450#

#SPJ11

The height of the cylinder is 4 feet.

The volume of a cylinder can be found as follows;

volume of a cylinder = base area × height

Therefore,

base area = πr²

volume of the cylinder = 48π ft³

base area = 12π ft²

Therefore, let's find the height of the cylinder as follows:

48π = 12π × h

divide both sides of the equation by 12π

h = 48π / 12π

h = 4 ft

Therefore,

height of the cylinder  = 4 feet

learn more on volume here: https://brainly.com/question/28512386

#SPJ1

The correct answer to this question is OU=13.7. This answer can be determined by using the Pythagorean Theorem.

This states that the sum of the squares of the lengths of the two shorter sides of a right triangle will always equal the square of the length of the longest side, or the hypotenuse.

In this problem, the triangle created by points O, U, and V is a right triangle as OV and UW are tangent to the circle at point O. Therefore, the Pythagorean Theorem can be used to solve for OU.

OV is 6.5 and UW is 7.2. This is done by taking the square of the two legs and adding them together. (6.5)2 + (7.2)2 = OU2. Simplifying this equation, OU2 = 73.04. Taking the square root of both sides of this equation yields OU = 13.7

For more questions related to tangent

https://brainly.com/question/4470346

#SPJ1

The answer can be determined by using the Pythagorean Theorem which is OU=9.7.

This states that the sum of the squares of the lengths of the two shorter sides of a right triangle will always equal the square of the length of the longest side, or the hypotenuse.

In this problem, the triangle created by points O, U, and V is a right triangle as OV and UW are tangent to the circle at point O.

Therefore, the Pythagorean Theorem can be used to solve for OU.

OV= 6.5

UW= 7.2.

(6.5)² + (7.2)² = OU²

Simplifying this equation,

OU²  = 94.09.

Taking the square root of both sides of this equation yields

OU = 9.7

For more questions related to tangent

https://brainly.com/question/4470346

#SPJ1

Answer:

3,14

Step-by-step explanation:

3x+5=6x-4

x=3

y=3x3+5

y=14

x,y=3,14

14=3x3+5

14=6x3-4

14=14

14=14

(x,y)=3,14

The value of x in the circle is 39.

The arc of a circle is the part of the circumference of a circle. If the length of an arc is half of the circle, it is called semicircular arc.

The angle subtended by an arc is the measure of the arc. Thus, we can say:

(3x + 5)° = 122°

3x + 5 = 122

3x = 122 - 5

3x = 117

x = 117/3

x = 39

Learn more about arcs on:

brainly.com/question/31105144

#SPJ1

Answer:

j = 2

Step-by-step explanation:

Combine like terms

6j-11j-11j+10=-13

-16j+19=-13

Subtract 19 from both sides of the equation

-16j+19=-13

-16+19-19=-13-19

Simplify

-16j=-32

Divide both sides of the equation by the same term

Simplify again

Which gives you j=2

A(-4,-2) B(-2,-2) C(-2, 7) D(-4, 7)

|AB| = √((-2-(-4))^2 + (-2 - (-2))

= √((2)^2 + 0^2) √4

= 2 units

|BC| = √((-2 - (-2))^2 + (7 - (-2))^2

= √5^2 = √25

= 5units.

Let |AB| = The length of the rectangle.

|BC| = The Width of the rectangle.

Hence Area = |AB| × |BC|

Area = 2 × 5 = 10 square units.

The numbers on the mailboxes could be considered either categorical or quantitative data. The correct Option is C: Either categorical or quantitative data.

The numbers on the mailboxes can be considered either categorical or quantitative data, depending on the context in which they are being used.

If the numbers are simply labels for the mailboxes, with no inherent numerical value or order, then they can be considered categorical data. In this case, the numbers would be treated as labels for the different categories or groups, rather than as measurements with numerical significance.

On the other hand, if the numbers are being used to represent a quantity or a position in a sequence, then they can be considered quantitative data. For example, if the numbers represent the physical location of the mailbox within a building, or the order in which mail is sorted and delivered, then they can be treated as numerical measurements.

Therefore, without further context, the numbers on the mailboxes could be considered either categorical or quantitative data.

for such more question on quantitative

https://brainly.com/question/3882981

#SPJ4

Answer:

4.69ft³

Step-by-step explanation:

1.5×2.5×1.25=4.69

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

-7x-4y+4y=-44+4y

-7x=4y-44

-7x/-7= 4y-44/-7

x=-4/7y+44/7

x=-4/7y+44/7

Step-by-step explanation: