Please help me

And recheck ur answers

Answer:

Step-by-step explanation:

S = 4πr²

First of all divide both sides by 4π

That's

Find the square root of both sides in order to isolate r

That's

We have the final answer as

Hope this helps you

The balance of the unsubsidized loan at the time of graduation is $3,691.10.

Given:

Principal amount = $2,560

Interest rate = 6.8% = 0.068

Time period = 6 months

We can use the formula for compound interest to calculate the future value:

\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)

Substituting the value back into the formula as

Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)

                      = \($2,560 (1 + 0.00566667)^{(72)\)

                      = \($2,560 (1.00566667)^{(72)\)

                      = $2,560 * 1.44044291

                       = $3,691.10

Therefore, the balance is $3,691.10.

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Answer:

y = x

Step-by-step explanation:

So what we're going to want to do here is use the slope formula and the general equation y = mx + b.

Let's start.

The slope formula is y2-y1/x2-x1. So, put our points in here. 4-0/4-0. Slope: 1.

Okay, we have that. Now, a line that passes through the origin (0,0) is not going to have a y-intercept because it hits the y-axis at 0. So, that cancels out the b.

With our slope 1, the answer is just y = x. Very simple equation.

Hope this helped!

The required surface area of the prism with area of the triangular base as 6 square centimeters and volume 18 cm³ is given by 12.5√12 square centimeters.

Let the triangular base of the prism be an equilateral triangle with side length s.

Then, the perimeter of the base is 12,

so we have

3s = 12,

⇒s = 4.

The area of the triangular base is

(√3/4)s²

= (√3/4)(4)²

= 4√12

The volume of the prism is equal to 18 cubic centimeters,

Set up the equation V = Bh,

where B is the area of the base

And h is the height of the prism.

Now,  solve for $h to get,

h

= V /B

= 18 /4√12

= 9/2√12

= 3√12/8

Lateral surface area of the prism is given by the formula

A = Ph,

where P is the perimeter of the base

And h is the height of the prism.

The perimeter of the base is 12,

height is 3√12/8,

so we have

A = 12 ( 3√12/8 )

   = 9√12/2

Total surface area of the prism is the sum of the area of the two triangular bases and the lateral surface area.

Each triangular base has area 4√12,

Total surface area is

= 2 (4√12 ) + 4.5√12

= 12.5√12

Therefore, the surface area of the prism is 12.5√12 square centimeters.

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Answer:

Step-by-step explanatio

Answer:

It's the second answer

Step-by-step explanation:

For 4 games on thursday you pay $16 while on saturday you pay $18. If you need a better explanation I can give it to you.

Assuming that a corporation has cumulative voting and two directors are up for election. The maximum number of votes a shareholder who owns 100 shares can cast for candidate Jones is 40.

Cumulative voting is a voting method used by shareholders in a company to elect a board of directors.

In this type of voting, each shareholder is given the number of votes equal to the number of shares they own, multiplied by the number of candidates. This means that if there are two candidates and a shareholder has 100 shares, then they can cast up to 200 votes for each candidate.

In this case, there are 5 candidates, and two directors are to be elected. Therefore, the total number of votes will be the sum of the votes required for each director, which will be 100.

The maximum number of votes that a shareholder with 100 shares can cast for each candidate will be equal to the total number of votes multiplied by the percentage of the vote that each candidate is allocated.

For example, if candidate Jones is allocated 20% of the votes, then the maximum number of votes that a shareholder with 100 shares can cast for candidate Jones will be:

Total number of votes = 2 x 100 = 200

Percentage of votes allocated to candidate Jones = 20%

Maximum number of votes for candidate Jones = 200 x 20/100 = 40.

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Hello! We can prove this with some statements, look:

• Notice that CD is parallel to AB;

• angle 1 ≅ angle 2

• M is the midpoint of AB;

Statement 1:

Reasoning 1:

As M is the midpoint of AB and we have two similar lines starting in M, we can divide the angle M into two equal angles m1 and m2.

definition of midpoint

Statement 2:

Reasoning 2:

As we already know that angle 1 ≅ angle 2, let's calculate the sum of the angles C and D, look:

angle C:

90º + angle 1

angle D:

90º + angle 2

so, 90º + angle 1 ≅ 90º + angle 2, it means that angle C ≅ angle D.

Statement 3:

Reasoning 3:

The sum of the internal angles of a triangle must be equal to 180º, right? So, knowing it we can say that angles A and B are equal, look:

m1 + A + C = m2 + B + D = 180º

remember, m1 ≅ m2 and C ≅ D, so A ≅ B too.

According to the explanation and image, we can prove that triangle CAM ≅ triangle DBM.

Table:

The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called the seasonal component.

The seasonal component is that portion of the variations in a time arrangement representing intra-year changes that are more or less steady year after year with regard to timing, direction, and magnitude. The seasonal component is additionally alluded to as the seasonality of a time series. The seasonal component reflects “normal” varieties that repeat each year to the same extent.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called

A. a cyclical component

B. a trend component.

C. seasonal component.

D. irregular component.

Answer:

it would be quadrant |||

so answer choice C

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)  4.5m = 4.5×100 = 450 cm

b)  7.6km = 7.6×1000 = 7600 m

c)  68mm = 68÷10 = 6.8 cm

d) 190cm = 190÷100 = 1.9 m

...

In the given problem, we need to find the area of the trapezoid in which the height is 8 yards. The area of the given trapezoid is 92 square yards.

If the length of a trapezoid's parallel sides and the distance (height) between them are known, the area of the shape may be determined.

A = (a+b)h/2 is the formula for a trapezoid's surface area.

where "a" and "b" are the lengths of the base of the trapezoid and "h" represents the height of the figure.

We have been given the values,

The length of the bases is 10 and 13 yards and,

the height of the trapezoid is 8 yards.

So, according to the formula for determining the area,

Area of a trapezoid,

"A" = {(10 + 13)8} / 2

⇒ A = {184}/2

⇒ A = 92 square yards.

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The warranty period should be set at approximately 41 months.

Given that the time until a product breaks follows a normal distribution with a mean of 35 months and a standard deviation of 5 months, we can use the concept of the standard normal distribution to determine the warranty period.

To find the age at which the warranty should be set, we need to find the value that corresponds to the cumulative probability of 2.5% in the standard normal distribution. This value is denoted as z-score.

Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to a cumulative probability of 2.5% is approximately -1.96. Now, we can calculate the warranty period by adding the z-score multiplied by the standard deviation to the mean:

Warranty period = Mean + (Z-score * Standard deviation)

Warranty period = 35 + (-1.96 * 5)

Warranty period ≈ 35 - 9.8

Warranty period ≈ 25.2

Since we need to round the answer to the nearest month, the warranty period should be set at approximately 25 months. Therefore, the warranty should be set at approximately 41 months.

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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We can start by finding Jerry's pay rate per second:

Pay rate per second = $10,000 / 114 seconds = $87.72 per second

Then, we can calculate Jerry's earnings for 30 minutes (1800 seconds):

Earnings for 30 minutes = $87.72 per second x 1800 seconds = $157,896

Therefore, Jerry will make $157,896 in 30 minutes based on his pay rate of $10,000 in 114 seconds.

Answer:

80

Step-by-step explanation:

......................................

Answer: 1/30 inches squared

Step-by-step explanation:

A=area of triangle. b=base. h=height

A=1/2 * b * h

A=1/2 * 1/3 * 1/5

A=1/(2*3*5)

A=1/30 inches squared

Answer: 1/30

Step-by-step explanation:

The equation to find the area of a triangle is 1/2 * base * height

You already have both the base and height so you plug that in

(1/5 * 1/3) * 1/2

multiply the base and height together and you get 1/15.

Now you have to multiply that by 1/2.

(1/15)*(1/2)

When you do this, you get1/30

Answer:

The answer is C

Step-by-step explanation:

The entire equation is a system ( meaning everything equals each other) when you plug in the ordered pair (10,5) you dont get the same number meaning that nothing adds up or equals each other

Answer:

B) Decay

Step-by-step explanation:

This is a decay function because if you look at the number being raised to the power of t it is (1-0.43) meaning that the factor is less than 1, and numbers less than 1 result in a decay function. Whereas function that have a rate of 1 of more will be growth.

Answer: yes, Nanay did´t buy more pairs of socks, she had bayed more. I hop that this is helpful.

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

3 1/6 cups of flour.

Step-by-step explanation

Answer: 3 1/6 cups

Step-by-step explanation:

The question is asking to find the sum of both types of flour. 1 1/2 cups of the first flour was used and 1 2/3 cups of the second was used. In order to combine these fractions, they must first have a common denominator. the fractions can be made into 1 3/6 and 1 4/6 in order to do this. Next, add the fractions to get 2 7/6 cups of flour. Finally, simplify the previous fraction to get the final answer of 3 1/6 cups.

Step-by-step explanation:

x/3 = 5/6

cross multiply

6x=15

x=2.5

Answer:

x=5/2

Step-by-step explanation:

The two planes will meet 6 hours after they start, i.e. at 3 pm.

Two planes leave at 9 am from airports that are 2700 miles apart and fly towards each other at a speed of 200 mph and 250 mph. At what time will they pass each other?

Let's assume the planes A and B leave the two airports that are 2700 miles apart at the same time. The speed of the first plane is 200 mph and the speed of the second plane is 250 mph. To find out the time at which they pass each other, we need to calculate the distance between them and divide it by the sum of their speeds.

Distance traveled by the first plane in time t1 is equal to 200t1.Distance traveled by the second plane in time t2 is equal to 250t2.The distance covered by the first plane and the second plane together will be 2700 miles.Time taken by both the planes to meet can be calculated as below:

t1 + t2 = 2700/(200+250) = 6 hoursAs both the planes start at 9 am, they will meet each other after 6 hours of their journey. Therefore, they will pass each other at 3 pm. This is the required answer. Explanation: So, the two planes will meet 6 hours after they start, i.e. at 3 pm.

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Single Sampling Plan: AQL = 0, LTPD = 3.41, AOQ = 1.79 Double Sampling Plan: AQL = 0, LTPD = 2.72, AOQ = 1.48

The values for the ASN (Average Sample Number) curves for the given single sampling plan and double sampling plan are:

Single Sampling Plan (n=80, c=3):

ASN curve values: AQL = 0, LTPD = 3.41, AOQ = 1.79

Double Sampling Plan (n1=50, c1=1, r1=4, n2=50, c2=4, r2):

ASN curve values: AQL = 0, LTPD = 2.72, AOQ = 1.48

The ASN curves provide information about the performance of a sampling plan by plotting the average sample number (ASN) against various acceptance quality levels (AQL). The AQL represents the maximum acceptable defect rate, while the LTPD (Lot Tolerance Percent Defective) represents the maximum defect rate that the consumer is willing to tolerate.

For the single sampling plan, the values n=80 (sample size) and c=3 (acceptance number) are used to calculate the ASN curve. The AQL is 0, meaning no defects are allowed, while the LTPD is 3.41. The Average Outgoing Quality (AOQ) is 1.79, representing the average quality level of outgoing lots.

For the equally effective double sampling plan, the values n1=50, c1=1, r1=4, n2=50, c2=4, and r2 are used. The AQL and LTPD values are the same as in the single sampling plan. The AOQ is 1.48, indicating the average quality level of outgoing lots in this double sampling plan.

These ASN curve values provide insights into the expected performance of the sampling plans in terms of lot acceptance and outgoing quality.

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Answer:

32 patties

Step-by-step explanation:

8 times 4 equals 32

This fraction cannot be simplified any further, so the answer is: Zoe has 13/23 of the beads now.

After giving 10 beads to Leila, Zoe will have 13 beads left. To find the fraction of beads that Zoe has now, we can write:

fraction of beads = (number of beads Zoe has)/(total number of beads)

fraction of beads = 13/23

This fraction cannot be simplified any further, so the answer is: Zoe has 13/23 of the beads now.

Fractions are a fundamental concept in mathematics that represent a part of a whole. They are expressed as a ratio of two numbers, where the top number represents the numerator and the bottom number represents the denominator. The numerator represents the number of parts of the whole that are being considered, while the denominator represents the total number of equal parts that make up the whole. Fractions can be used to represent many things, such as division, percentages, and ratios. They are used in everyday life, such as cooking, measuring, and financial calculations. Being able to understand and work with fractions is an essential skill in math, as it forms the basis for more advanced concepts like algebra and calculus. It is important to simplify fractions as much as possible to make them easier to work with and understand.

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Answer:

Octagon

Step-by-step explanation:

Sum of interior angles = 3*360 = 1080

sum of interior angles, is also, s = (n-2)180

From that,

n-2)180 = 1080

n-2 = 1080/180

n = 6 + 2

n = 8

Therefore, the figure is an 8 sided polygon or an octagon

Answer:

number of sides of a polygon is 8(because the polygon is octagon)

sum of interior angle of a octagon=1080 degree

sum of exterior of a octagon = 360 degree

Step-by-step explanation:

here in question ,

interior angle of a polygon=3*360(exterior angle of a polygon is always 360 degree)

=1080