You lend out S5500 at 10% compounded monthly. If the debt is repaid in 18 months, what is the total owed at the time of repayment?

Answer: 0.894

Step-by-step explanation:

Answer:

                    ≈ 0.918

Step-by-step explanation:

Use the complement since the probability of at least 2 ladies choose the same type of overcoat is much more challenging than finding the probability that all the ladies choose a different overcoat.

P(at least 2 ladies choose the same type of overcoat) = 1 − P(all choose different)

Find the probability that they all choose a different type of overcoat.

Now use the complement to determine the probability that at least 2 ladies choose the same type of overcoat.

P(at least 2 ladies choose the same) =

1 − P(all choose different)  

≈ 1 − 0.0820  

≈ 0.918  

The probability that at least 2 ladies choose the same type of overcoat is approximately 0.918 or 91.8%.

Answer:

  4.6 km

Step-by-step explanation:

You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.

The distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.

  c² = a² + b²

  5² = 2² + b²

  21 = b²

  b = √21 ≈ 4.583

Santos walked about 4.6 km east.

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Answer: the answer is 9x

Step-by-step explanation:

15 Weeks should be the answer

The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.

Therefore the answer is 90π in³.

Recognize that the fish tank is in the shape of a right circular cylinder.

Remember that the formula for the volume of a cylinder is

V = πr^2h

where r is the radius and h is the height.

Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.

Perform the calculation:

πr^2h

= π(3^2)(10)

= π×9×10

= 90π cubic inches

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Answer:

C

Step-by-step explanation:

Remark

The formula that relates tangents and secants using the information given is

The distance from the external point to the point of tangencyo^2 = The external point of secant to the circumfrance of the circle * the other intersect point of the secant.  

The algebra is much simpler.

y^2 = 27 ( 27 + x)

Givens

y = 45

27 is the distance from the external point to the circle

27 + x is the entire length of the secant.

Solution

45^2  = 27(27 + x)               Remove the brackets

2025 = 729 + 27x               Subtract 729 from both sides

2025 - 729 = 27x

1296 = 27x                           Divide by 27

1286/27 = x

x = 48

Answer:

If the circle, translate 3 units right and 5 units up and dilated 5/2

then circle C is congruent to circle A.

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

hope it helps...

have a great day!!

Therefore, as a result, the angles of the triangle m∠ABD and m∠DBC equal 37 et 58 degrees, accordingly.

You can link any key steps in a plane to form triangle, that have sides and three angles. They were among of the first geometric forms to be examined. Since triangles might well be divided into any polygon, regardless of whether it contains four, five, six, ... n sides, they are very significant.

Here,

Given that in this case mABC is 95 degrees

The meeting of two lines forms an angle, while a line cutting an angle in half equally divides it.

Looking at the example,

∠ABC is equal to ∠ABC + ∠ABCD.

with the following

95 degrees, ∠AB

∠ABD = 2x + 23

∠DBC = 9x - 5

Put the missing pieces of the equation in.

95 = 2x + 23 + 9x - 5

95 =11x +18

11x = 95 - 18

11x = 77

x = 77/11

x = 7

Recognize the angle AB

∠ABD = 2x + 23

∠ABD = 2(7) + 23

<ABD = 14 + 23

∠AB = 37°

Apply the ∠DBC angle.

95 - ADBD is ∠DBC.

∠DBC = 95 - 37

A DB of 58 degrees

The readings of m∠ABD and m∠DBC are therefore 37 and 58 °, respectively.

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Answer:       ≈ 0.6181

Step-by-step explanation:

The probability that at least 2 boys choose the same type of watch is 0.6181.

Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Here, the total number of combinations of styles for 5 boys

   12 X 12 X 12 X 12 X 12 = 12⁵

the total ways that each boy have different styles

   12 X 11 X 10 X 9 X 8

P(None of the boys have same style) = (12 X 11 X 10 X 9 X 8) / 12⁵

                                                                = 0.3819

P(at least 2 boys have same style) = 1 - P(None of the boys have same style)

                                                         = 1 - 0.3819

                                                         = 0.6181

Thus, the probability that at least 2 boys choose the same type of watch is 0.6181.

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Answer:

[tex]\boxed {\boxed {\sf d=\sqrt{170} \ or \ d\approx 13.04}}}[/tex]

Step-by-step explanation:

We are asked to find the length of a segment or the distance between the 2 points. The formula for distance is:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:

Substitute the values into the formula.

[tex]d= \sqrt{(6--5)^2+(-3-4)^2[/tex]

Solve inside the parentheses.

[tex]d= \sqrt{(11)^2+(-7)^2[/tex]

Solve the exponents.

[tex]d= \sqrt {(121)+(49)[/tex]

Add.

[tex]d= \sqrt {170}[/tex]

[tex]d=13.0384048104[/tex]

Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

[tex]d\approx 13.04[/tex]

The length of the segment is √170 or approximately 13.04.

Answer:

6 1/4 pounds

Step-by-step explanation:

There are 7 1/2 pounds of potatoes, which is equivalent to 7 1/2 = 7.516=120

120 ounces of potatoes.

If 1/6 of the potatoes are rotten, then 1/6*120 = 20

20 ounces of potatoes are rotten.

Thus, the weight of the good potatoes is 120-20 = 100

100 ounces.

Converting this back to pounds, we get

100/16 = 6 1/4

6 1/4 pounds.

An inverse relation and function is the opposite of a relation and functions.

An ordered pair collection is referred to as a relation. Let's think about the two sets A and B. The cartesian product of A and B, indicated as A x B, is the set of all ordered pairs of the form (x, y), where x A and y B. A relation is any subset of the cartesian product A x B.

The inverse function f-1 takes each element in the range of an original function f and transfers it to the equivalent element in the function's domain. F must be one-to-one and onto since we are mapping the function f backward.

An onto function only has one output for each input, but a one-to-one function only has one input in the domain for each output in the range. This implies that each input has precisely one input for each output in order to have both.

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answer:

a. 8 · 10^7 is 4000 times larger than 2 · 10^4

step-by-step explanation:

8 · 10^7 (or 8 X 10000000) = 80000000

2 · 10^4 (or 4 X 10000) = 20000

80000000 / 20000 = 4000

Answer:

t = 14.82 and 2.72secs

Step-by-step explanation:

Given the function of the rocket height expressed as;

h(t) = -4.9t^2+ 86t + 2.1

if the rocket height is at 200m, then;

200 = -4.9t^2+ 86t + 2.1

multiplying through by 10

2000 = -49t^2 + 860t + 21

49t^2 - 860t - 21 + 2000 = 0

49t^2 - 860t + 1979 = 0

Factorize

t = 860±√(860)²-4(49)(1979)/2(49)

t = 860±√739,600-387,884/98

t = 860±√351,716/98

t = 860±593.06/98

t = 860+593.05/98 and 860-593.05/98

t = 1,453.05/98 and 266.94/98

t = 14.82 and 2.72secs

These are the times

We know that the derivative means the rate of change of the function. Graphically, this means that the derivative is the slope of the graph of that function.

The derivative of a function is the slope of the curve for the specified function. Physically speaking, the derivative of a function is the instantaneous rate of change of a function with respect to the variable at a location.

A securities with a price that is based on or derived from one or more underlying assets is referred to as a derivative. A contract between two or more parties based on the asset or assets constitutes the derivative itself. Changes in the underlying asset's value affect its value.

The instantaneous pace at which a function changes with regard to one of its variables is known as the derivative. Finding the slope of the tangent line to the function at a certain location is equal to doing this.

lim/h→0f(x+h)−f(x)h=f'(x).

lim/h→06−6/h=0.

f'(x)=limΔx→0

f'(x)=limΔx→0

f(x+Δx)−f(x)Δx=

f'(x)=limΔx→06−6Δx=0

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Answer:

10ft^2

Step-by-step explanation:

10ft×1ft=10

Answer:

10square feet is the area (length x width)

Step-by-step explanation:

Answer:

Boat A travels 105 km

Boat B travels 150 km

difference 45 km

An inequality that represents the number of signatures Ali needs to collect in each of the remaining weeks so that he will have enough signatures to submit the petition: 520 + 6m ≥ 1000

and the minimum number of signatures he needs to collect = 80

Given that Ali wants to collect the same number of signatures each week.

Assume that Ali collects m number of signatures each week.

He has 6 weeks to collect the remaining signatures he needs.

So, by unitary method in 6 weeks the number of signatures he would collect:

6 × m

He currently has 520 signatures and he needs a total of at least 1,000 signatures before he can submit the petition.

so, we get an inequality.

520 + 6m ≥ 1000

We solve above inequality.

6m ≥ 1000 - 520

m ≥ 480/6

m ≥ 80

Ali needs to collect at least 80 signatures, so that he will have enough signatures to submit the petition.

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Answer:

When solving an inequality:  you can add the same quantity to each side •you can subtract the same quantity from each side you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.

you can add subtract multiply and divide the quantity to each side

But if you’re doing any of those with a negative quantity, the inequality symbol must be reversed

3 x -8> 29

3 x -8 < 29

Answer:

B) is false

Explanation:

A triangle canot have 2 abtuse angles and one acute angle.

Answer:

B is false

Step-by-step explanation:

a is true because an equilateral triangle has three acute angles (60 degrees)

c is true because an iscoceles triangle can be drawn with one obtuse angle and two acute angles.

d is true because a right angled triangle can be drawn with one right angle  and two acute angles.

b is false because neither an equilateral, iscoceles, right-angled, or scalene triangle can be drawn with two obtuse angles.

Answer:

1) B

Step-by-step explanation:

1)

The formula for the volume of a prism is h * l * w

So, if we do that we get 25/18

2) B

Lets say we talk the top surface, there are 30 cubes on that surface and we want to find the volume of one cube so we are going to divide by 50. we take the measurements which are 5/6 and 1 for the top surface and we multiply. We get an answer of 5/6 now we divide by 30

So...

5/6 * 1/30 (We switched the numbers around because we are dividing.)

5/6 * 1/30 = 5/180 now we can simplify this to 1/36.

5 and 180 are a factor of 5

Hope this helps

The manager should expect the defective nails of 350-pound delivery to contain 23.3 pounds .

The defect rate is a measurement of the proportion of production units that are flawed or useless relative to a certain number of units. Businesses use this assessment to assess the quality of their products and how they affect their bottom line. Although lower rates are desired, no industry has a set acceptable fault rate. Therefore, businesses must choose their goal defect rate.

Defect rate is crucial because it enables firms to calculate the proportion of output units that fail quality checks. This assists the firms in identifying any issues with quality control or manufacturing and estimating the cost of each fault. To estimate the profitability of a product, businesses can also compare failure rates among comparable or dissimilar products.

In ever 4.5 pounds of nail defective nails are = 0.3 pounds

In ever 1 pounds of nail defective nails are = 0.3/4.5 pounds

In ever 350 pounds of nail defective nails are = (0.3/4.5)*350 pounds

⇒ the defective nails in 350 pounds of nails= 105/4.5

⇒ the defective nails in 350 pounds of nails= 23.3 pounds

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Answer:

V=550cm^3

Step-by-step explanation:

Answer:  549.5 cm squared

Step-by-step explanation:

The area of the shaded region is, 201.0 cm².

What is circle?

A circle is a closed, two-dimensional figure in which all points in the plane are equally spaced apart from the center. The symmetry line of reflection is formed by each line that traverses the circle. Additionally, it is rotationally symmetric around the center for all angles.

In the given figure we have to find the area of the shaded region.

First to find the area of circle with radius 10cm.

Area of circle = [tex]= \pi r^2 = 3.14*(10)^2 = 3.14*100 = 314cm^2[/tex]

Now to find the area of circle with radius 6cm.

Area of circle = [tex]= \pi r^2 = 3.14*6^2=3.14*36 = 113.04 cm^2[/tex]

So, the area of the shaded region is,

[tex]314cm^2 - 113.04cm^2 = 200.96cm^2=201.0cm^2[/tex]

Hence, the area of the shaded region is, 201.0 cm².

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Answer:

Only sometimes true

Step-by-step explanation:

Now, I'm going to go out on a whim here, since your equation writing isn't the best, but I will assume that the equation is:

x = x/3 * 3x

Now, to simplify this equation, we will multiply both sides by 3, giving us:

3x = x * 3x

Then, simplify the left side:

3x = [tex]3x^{2}[/tex]

Divide by 3 gives us:

[tex]x = x^{2}[/tex]

Now, this is only true in two cases. When x is 1, and when x is 0. So, that equation is only sometimes true.

Hope this helped!