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Find the surface area of a cylinder that has a height of 65 feet and a radius of 26 feet.
14,866.01 ft2
15,866.01 ft2
16,866.01 ft2
17,866.01 ft2

The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

A bank features a savings account that has an annual percentage rate of r = 3.3% with interest compounded quarterly.

And, Maia deposits $10,000 into the account.

Now,

Since, The interest rate is for compounded quarterly.

So, The used formula is,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

Here, P = $10,000

r = 3.3% = 0.033

n = 4

t = 9

Substitute all the values, we get the amount after 9 years,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

⇒ A = $10,000 (1 + 0.033/4)³⁶

⇒ A = $10,000 (1 + 0.008)³⁶

⇒ A= 10,000 × (1.008)³⁶

⇒ A = 10,000 x 1.45

⇒ A = $14,593

Thus, The amount after 9 years will be $14,593.

Therefore, The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

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Answer:

You are correct!

Step-by-step explanation:

9x8.5x3.5=267.75 mm³

You are correct!

Answer:

Ur correct

Step-by-step explanation:

I just did it and got the same answer.....

Do well babe<3

The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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If an auto body shop repaired 22 cars and trucks and there were 8 fewer cars than trucks, 15 trucks were repaired.

Let's assume the number of trucks repaired is "x". We know that the total number of cars and trucks repaired is 22. Since there were 8 fewer cars than trucks, the number of cars repaired must be x-8. Therefore, we can set up the following equation:

x + (x-8) = 22

Simplifying, we get:

2x - 8 = 22

Adding 8 to both sides:

2x = 30

Dividing by 2:

x = 15

We can check this by plugging x back into the equation and verifying that the number of cars repaired is 7, which is 8 fewer than 15.

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Answer:

Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.

Step-by-step explanation:

Aimee's garbage disposal horse power = 7/8

Vincent's garbage disposal horse power = 3/5

All we need is to subtract Vincent's power from Aimee's power.

i.e.

\(\frac{7}{8}-\frac{3}{5}\)

Thus,

\(\frac{7}{8}-\frac{3}{5}\:=\frac{35}{40}-\frac{24}{40}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}\)

         \(=\frac{35-24}{40}\)

         \(=\frac{11}{40}\)

Thus,  Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.

The value of x is approximately 10.6. So, the correct answer is B. 10.6

To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.

Using the sine function, we have:

sin(45 degrees) = x / 15

To solve for x, we can rearrange the equation:

\(x = 15 \times sin(45 degrees)\)

Using the exact value of sin(45 degrees) (which is √2 / 2), we have:

\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)

x = 7.5√2

Therefore, the correct answer is B. 10.6.

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a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$

\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}

100 sin 35° = 80 sin 55°=57.73 mT

herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.

Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.

To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.

Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.

Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.

To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.

(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus

:$$c^2 = a^2 + b^2$$

where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$

c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$

Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.

Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$

Therefore, the bearing of the boy's current position from the starting point is N51°E.

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The inequality of each model cutting, sewing finishing packaging and shipping profit

The maximum value = 5x + 8y

1R + 3/2 C ≤ 900

1/2 R + 1/3 C ≤ 300

1/8 R + 1/4 C ≤ 100

R, C ≥ 0

Consider x be the number of regular model of gloves to be produced

y be the catcher’s model of gloves to be produced

The maximum value = 5x + 8y

Then the inequality will be

The inequality of Cutting and Sewing

1R + 3/2 C ≤ 900

The inequality of Finishing

1/2 R + 1/3 C ≤ 300

The inequality of Packaging and Shipping

1/8 R + 1/4 C ≤ 100

R, C ≥ 0

Therefore, the inequality of each model cutting, sewing finishing packaging and shipping profit has been found

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The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7. 

Step-by-step explanation:

\( - 7 \div \frac{ - 4}{5} \)

\( \frac{ - 7}{1} \div \frac{ - 4}{5} \)

\( =8.75\)

( just keep the first fraction as it is, change the divide sign to a multiply and flip the second fraction upside down. )

Answer:

35/4 or 8 3/4.

Step-by-step explanation:

-7 / -4/5

Invert the second fraction and multiply:

= -7 * -5/4

=  35/4

= 8 3/4.

According to the diagram, \(\theta\) is the polar angle (the "vertical" angle made with the positive z-axis) and \(\phi\) is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take

\(x^2 + y^2 + z^2 = r^2 \\\\ x = r \cos(\phi) \sin(\theta) \\\\ y = r \sin(\phi) \sin(\theta) \\\\ z = r \cos(\phi)\)

Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where

\(x = 1 \cos\left(\dfrac\pi4\right) \sin\left(\dfrac\pi2\right) = \dfrac1{\sqrt2} \\\\ y = 1 \sin\left(\dfrac\pi4\right) \sin\left(\dfrac\pi2\right) = \dfrac1{\sqrt2} \\\\ z = 1 \cos\left(\dfrac\pi2\right) = 0\)

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answer:

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

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

3(6-4)*5= 3*2*5=30

Answer:

k = 77

Step-by-step explanation:

\(\frac{k}{11} =7\\\\\rightarrow 11 * 7 = 77\\\rightarrow 77 \div 11 = 7\)

Answer:

k = 77

Step-by-step explanation:

The question in equation form is :

\(\frac{k}{11} =7\)

Now we multiply both sides by 11 to solve for k :

k = 7×11

k = 77

Hope this helped and brainliest please

6x-7y=-10

12x-5=16

2xay=10

-10+16+x=10

10=-10+16+x=6x

6x+10=16x

ay=16x

Answer:

-1.5y

Step-by-step explanation:

Answer:

45 + n = 325

n = $280

Step-by-step explanation:

total cost = monthly cost plus the cost of lessons

total cost = $325

monthly cost = $45

number of lessons = 'n'

45 + n = 325

n = 280

MO= MP + PO = 14 + 7 =21

MN= 17

MP=14

MQ==?

substitute the values

cross-multiply

21 MQ = 17 x 14

21 MQ=238

Divide both-side of the equation by 21

MQ= 11.33 to the nearest hundredth

The process of associating numbers with physical quantities and phenomena. Measurement is used in our day-to-day life

Nominal: A level of measurement describing a variable that has attributes that are merely different, as distinguished from ordinal, interval, or ratio measures.

Gender is an example.

Ordinal: A level of measurement describing a variable with attributes we can rank-order along some dimension.

An example is socioeconomic status as composed of the attributes high, medium, and low.

Interval: A level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes. There is however, no "true" zero point. Like the difference in temperature. An example will be the measuring temperature.

Ratio: A level of measurement describing a variable with attributes that have all the qualities of nominal, ordinal, and interval measures and in addition are based on a true zero point. An example will be Number of children you have, makes sense to have a zero

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After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

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Answer:

\(f(x)=x(x-9)(x-6)(x+8)(x-7)\)

Step-by-step explanation:

If \(9=x\)  then \(x-9=0\)

If \(6=x\)  then \(x-6=0\)

etc.

So  \(f(x)=x(x-9)(x-6)(x+8)(x-7)\)

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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In the given following data gives the number of children in 50 families.

The discrete frequency table is

As number of children  is 0  the frequency is 6

As number of children  is 1  the frequency is 13

As number of children  is 2  the frequency is 14

As number of children  is 3  the frequency is 7

As number of children  is 4  the frequency is 6

As number of children  is 5  the frequency is 2

As number of children  is 6  the frequency is 2

What is frequency ?

frequency states that the number of times the certain value got repeated is called as frequency.

No. of children      Frequency

0                               6

1                                13

2                               14

3                                7

4                                6

5                                2

6                                2

Hence , it is the required discrete frequency table.

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The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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Answer:

H

Step-by-step explanation: