What Is a Kilometer in Math?

The correct answer is option c. 35.3%. The annual percentage yield (apy) for money invested at the given annual rate of 3.5% compounded continuously is  35.3%.

The annual percentage yield (APY) is a measure of the total interest earned on an investment over a year, taking into account the effects of compounding.

To calculate the APY for an investment with continuous compounding, we use the formula:

\(APY = 100(e^r - 1)\),

where r is the annual interest rate expressed as a decimal.

In this case, the annual interest rate is 3.5%, which, when expressed as a decimal, is 0.035. Plugging this value into the APY formula, we get:

\(APY = 100(e^{0.035} - 1).\)

Using a calculator, we find that \(e^{0.035\) is approximately 1.03571. Substituting this value back into the APY formula, we get:

APY ≈ 100(1.03571 - 1) ≈ 3.571%.

Rounding this value to the nearest hundredth of a percent, we get 3.57%.

Among the given answer choices, option c. 35.3% is the closest to the calculated value.

Options a, b, and d are significantly different from the correct answer.

Therefore, option c. 35.3% is the most accurate representation of the APY for an investment with a 3.5% annual interest rate compounded continuously.

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He works for 55 hours in order to receive grossly $1,144

From the question, the given parameters are

Hourly rate = $20.80 per hour

Total earnings = $1,144

The number of hours he works for is the quotient of the total earning and the hourly rate

This is represented as

Number of hours =  Total amount /Hourly rate

Substitute the known values in the above equation

So, we have the following equation

Number of hours =  1144/20.8

Evaluate

Number of hours = 55

Hence, the number of hours is 55 hours

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Answer:

-6*-7=42 wdym as in undefined

Step-by-step explanation:

Drawing an altitude and computing the side lengths of the resulting half triangle for an equilateral and isosceles triangle, would give the trigonometric functions for multiples of 30 and 45 respectively.

In a 30°-60°-90° right triangle, the longer leg is \(\sqrt{3}\) times longer than the shorter leg, and the hypotenuse is twice as long. In a 45°-45°-90° right triangle, sides opposite to the equal angles (45°) are equal and the hypotenuse is \(\sqrt{2}\) times the other sides.

To find the trigonometric functions of multiples of 30°, first consider a equilateral triangle of, say, side-length 2. Draw an altitude for the triangle. Each of the half triangle are 30°-60°-90° right triangle. Clearly the base will be divided into 2 equal parts of length 1 each. Now using Pythagorean Theorem on one of the 30°-60°-90° right triangle, trigonometric functions for multiples of 30° could be obtained.

Draw x and y axis. Now take a length of , say , 2 in the x-axis and using a compass pointed at origin and mark the point on y axis with a length 2. Now join these points on x and y axis. A 45°-45°-90° isosceles right triangle with side-length 2 is obtained. Now using Pythagorean Theorem, trigonometric functions for multiples of 45° could be obtained.

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Answer:

Choice C: 6

Step-by-step explanation:

Get the difference between each consecutive terms.

\( \mathbb{ANSWER:}\)

\(\sf d=a_n - a_{n-1}\)

\(\sf d = 10 - 4\)

\(\sf d = 6\)

∴ The common difference is 6

Okay, let's solve this step-by-step:

* The box is shaped like a rectangular prism

* It has dimensions:

** 18.5 inches long

** 32 inches wide

** 12.2 inches deep

To find the volume of a rectangular prism, we use the formula:

Volume = Length x Width x Depth

So in this case:

Volume = 18.5 inches x 32 inches x 12.2 inches

= 18.5 * 32 * 12.2

= 5796 cubic inches

Therefore, the volume of the box is 5796 cubic inches.

Let me know if you need more details!

Answer:

g(x) =1

x-1

it's either g(x) or f(x)

Answer:

2nd Base (I think)

Step-by-step explanation:

The right fielder is closer to the 2nd base.

Answer: Choice A)   \(-3 \le x < 1\)

The reason why is because we have a closed circle at -3 and an open circle at 1. The closed circle means we include this as part of the solution set. An open circle means we exclude the endpoint.

So x is between -3 and 1, including -3 but excluding 1.

We could write \(x \ge -3 \ \text{ and } \ x < 1\) but its much more compact to write \(-3 \le x < 1\)

Answer:

\(a^4b^{-5}\text{ or }\frac{a^4}{b^5}\)

Step-by-step explanation:

\(\displaystyle \frac{a^2b^{-3}}{a^{-2}b^2}=a^{2-(-2)}b^{-3-2}=a^4b^{-5}=\frac{a^4}{b^5}\)

Answer:

itś the second option

Step-by-step explanation:

Answer:

B = 3

Step-by-step explanation:

To find the base area you need to divide the height into the volume.

30÷10 = 3

Let me know if this helps!

Answer:

i dunno

Step-by-step explanation:

The perimeter of the Garden is 76 meters. and the length is 32m.

Area= L × B

(L×6) = 16 × 12

L = \(\frac{288}{6}\) = 32m

Therefore L works out to 32 meters.

Perimeter of Garden = 2 × (32+6) = 76 meter.

The area is the quantity that expresses the extent of a place on the plane or on a curved floor. The area of an aircraft area or aircraft location refers to the region of a shape or planar lamina, at the same time as floor vicinity refers back to the region of an open surface or the boundary of a three-dimensional object. the vicinity may be understood as the quantity of cloth with a given thickness that would be essential to fashion a version of the form, or the amount of paint necessary to cover the floor with an unmarried coat. it's miles the two-dimensional analog of the period of a curve (a one-dimensional idea) or the volume of a strong (a three-dimensional concept).

vicinity of a form may be measured by evaluating the form to squares of a fixed size. inside the international system of devices (SI), the usual unit of the region is the rectangular meter (written as m²), which is the region of a square whose facets are one meter lengthy. A shape with a place of three square meters would have the same place as 3 such squares. In arithmetic, the unit rectangular is defined to have region one, and the place of any other shape or floor is a dimensionless actual wide variety.

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Thus, parametric equation for the circumference of the ellipse : C ≈ 15.3.

To estimate the circumference of the ellipse given by the equation 16x^2 + 4y^2 = 64, we first need to find the parametric equations. Let's divide both sides of the equation by 64 to get:
x^2 / 4^2 + y^2 / 2^2 = 1

Now, we can use the parametric equations for an ellipse:
x = 4 * cos(t)
y = 2 * sin(t)

Now, we can find the arc length function ds/dt. To do this, we'll differentiate both equations with respect to t and then use the Pythagorean theorem:

dx/dt = -4 * sin(t)
dy/dt = 2 * cos(t)

(ds/dt)^2 = (dx/dt)^2 + (dy/dt)^2 = (-4 * sin(t))^2 + (2 * cos(t))^2

Now, find ds/dt:
ds/dt = √(16 * sin^2(t) + 4 * cos^2(t))

Now we can use Simpson's rule with n = 8 to estimate the circumference:
C ≈ (1/4)[(ds/dt)|t = 0 + 4(ds/dt)|t=(1/8)π + 2(ds/dt)|t=(1/4)π + 4(ds/dt)|t=(3/8)π + (ds/dt)|t=π/2] * (2π/8)

After plugging in the values for ds/dt and evaluating the expression, we find:
C ≈ 15.3 (rounded to one decimal place)

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if f(x) +\(x^{2}\)  \([ f(x) ]^{5}\)  = 34 and f(1) = 2, then f '(1) = - \(\frac{64}{81}\)

f ′(x )'s indicates that it is derived from f (x). The second notation is dydx. The instantaneous rate at which y changes in relation to x is shown by this notation.

f(x) + \(x^{2}\)  \([ f(x) ]^{5}\)  =  34

differentiate with respect to x :

f' (x) + \(x^{2}\) . 5 \([ f(x) ]^{4}\) f'(x) +  \([ f(x) ]^{5}\)  2x = 0

putting x = 1

f' (1) + \(1^{2}\) . 5  \(f(1)^{4}\) f'(1) + \(f(1)^{5}\) 2(1) = 0

f' (1) + 1.5 \((2)^{4}\) f'(1) + \((2)^{5}\) . 2 = 0

f' (1) + 80 f' (1) = - 64

81 f' (1) = - 64

f' (1) = - \(\frac{64}{81}\)                    

thus , the f ' (1) is found.

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The triangle with side lengths of  48 in., 56 in., and 83 in.  is obtuse, because 832> 48² +56²

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

The side lengths of the triangles are 48 in., 56 in., and 83 in

The smallest side lengths are: 48 in., 56 in

The sum of the squares of these side lengths is

48^2+ 56^2

For the triangle to be obtuse, then the following must be true

83^2> 48² +56²

Evaluate the exponents

6889> 5440

The above inequality is true.

Hence, the triangle is obtuse, because 83^2> 48² +56²

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The probability of no ice-squids raining down from the sky in the ten-year period is approximately 0.135.

To calculate the probability, we need to use the Poisson distribution since the occurrence of ice-squids follows a random process with an average rate. The average rate of ice-squids raining down from the sky is 1 per 2 years.

The Poisson distribution is given by the formula:

P(x; λ) = (e^(-λ) * λ^x) / x!

Where P(x; λ) is the probability of x events occurring in a given time period with an average rate of λ.

In this case, we want to calculate the probability of no ice-squids raining down in a ten-year period. We can convert the average rate from years to the ten-year period by multiplying it by 10. So, λ = 1/2 * 10 = 5.

Substituting λ = 5 and x = 0 into the Poisson distribution formula, we get:

P(0; 5) = (e^(-5) * 5^0) / 0!

Since 0! is equal to 1, the formula simplifies to:

P(0; 5) = e^(-5) ≈ 0.00674.

Therefore, the probability of no ice-squids raining down in the ten-year period is approximately 0.00674 or 0.135 when expressed as a percentage.

In other words, there is a 13.5% chance that no ice-squids will rain down from the sky in the ten-year period starting in 2024 in the alternate universe of San Diego.

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Answer:kilometers

Step-by-step explanation:

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

A

Step-by-step explanation:

3/4*(-4/3) + 1/2 = -1 + 1/2 = -1/2

First, B is not the answer, because if x = 0, the whole equation would've been 0.

A) -4/3 ; -1/2

Replace x and y with the 2 fractions, we have : 3/4 x (-4/3) + 1/2 = -1/2
-1 + 1/2 = -1/2 (true)
So, A is correct

But to make sure, we'll go over C and D also.

C) 4/3 ; 1/2

Replace x and y : 3/4 x 4/3 + 1/2 = 1/2
1 + 1/2 = 1/2 (not true)

So this is not the answer

D) 4 ; 3/2

Replace x and y : 3/4 x 4 + 1/2 = 3/2
3 + 1/2 = 3/2 (not true)

So, A is correct.

Answer:

B

Step-by-step explanation:

B is the lowest number so yeah

(I wouldn't listen to me if I were you)

To determine the constant amount that can be withdrawn each year for 20 years, we need to calculate the annuity payment using the present value of an annuity formula.

Inherited amount: RM300,000

Interest rate: 7% per year

Number of years: 20

Using the present value of an annuity formula:

PV = P * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present value (inherited amount)

P = Annuity payment (constant amount to be withdrawn each year)

r = Interest rate per period (7% or 0.07)

n = Number of periods (20 years)

Plugging in the values:

300,000 = P * [(1 - (1 + 0.07)^(-20)) / 0.07]

Solving this equation, we find that the constant amount that can be withdrawn each year is approximately RM15,000.

Therefore, the correct answer is A. RM15,000.

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The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

18 is b I think..........

Answer:

Don't worry I got you..

16. C

17. D

18. A

19.A

Step-by-step explanation:

The lengths of the missing sides are:

x = 6

y = 3√2

Here we can see a right triangle, we want to find the two missing lengths in it.

We know the measure of one angle, and the length of the adjacent cathetus of it, then we can use trigonometric relations:

cos(a) = (adjacent cathetus)/hypotenuse

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing the values that we know, we will get:

cos(45°) = 3√2/x

Solving for x:

x = ( 3√2)/cos(45°) = 3√2*(2/√2) = 6

And to get the value of y we use the other:

tan(45°) = y/ ( 3√2)

1 = y/ ( 3√2)

( 3√2) = y

These are the lengths.

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Answer:

Step-by-step explanation:

8^-3 can be written 1/8^3

same way, 8^-6=1/8^6

the multiplication:

(1/8^3)(1/8^6)=1/8^9

remember when you multiply the power you add the exponents

The Coordinates for point A and B are as follows:

A                                 B

 1                                  2

 2                                 4

 3                                 6

A coordinate system is a method for identifying the location of a point on the earth. Most coordinate systems use two numbers, a coordinate, to identify the location of a point.

The Coordinates for point A and B are as follows:

A                                 B

 1                                  2

 2                                 4

 3                                 6

 4                                 8

 5                                 10

 6                                 12

 7                                  14

 8                                  16

 9                                  18

 10                                20

Thus, y-coordinates are double than x-coordinates.

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The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.

The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.

It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.

By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.

A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.

Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.

The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.

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\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)