A manufacturer can lease a machine for 6 years at $2,680 per quarter, payable at the beginning of each quarter. Alternatively, they can purchase the machine for $60,000 and sell it for $5,900 in 6 years. The cost of capital is 7.3% compounded annually. What is the present value of the cost: (enter a positive value accurate to the nearest dollar)

Answer:

28125

Step-by-step explanation:

The \(n\)th term of your geometric sequence is \(9\cdot5^{n-1}\). This means that the 6th term is \(9\cdot5^{6-1}=28125\).

Answer:24!!

Step-by-step explanation: the smaller triangle is 12 and that is half of the bigger triangle if you add them together its 24:=D

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

The perimeter of the new rectangle is given by the expression 2l + 4b - 40 cm.

Given that a rectangle is of length l​ cm and breadth b​ cm.

The length of the rectangle is decreased by 10​ cm, therefore the new length of the rectangle = l - 10 cm.

The breadth is doubled, therefore the new breadth of the rectangle = 2b cm.

The perimeter of the rectangle is given by;

Perimeter = 2(l+b)

Let's substitute l - 10 for the new length and 2b for the new breadth to get;

Perimeter = 2(l-10+2b)

Perimeter = 2(l+2b-20)

Perimeter = 2l+4b-40

Therefore the perimeter of the new rectangle is 2l + 4b - 40.

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Answer:

B. 1, 4, 16, 64...

D. 2, 8, 32, 128...

To find a common ratio, you divide each term by the previous term.

So, let's do it for each sequence.

A.

6 / 2 = 3

10 / 6 = 1.6667

It is incorrect because we did not get 4.

B.

4 / 1 = 4

16 / 4 = 4

It is correct because we got 4.

C.

400 / 1600 = 1/4

100 / 400 = 1/4

It is incorrect. The common ratio is 1/4.

D.

8 / 2 = 4

32 / 8 = 4

It does have a common ratio of 4. It is correct.

E.

12 / 16 = 0.75

8 / 12 = 0.6667

It does not have a common ratio of 4.

F.

1/8 / 1/2 = 1/4

1/32 / 1/8 = 1/4

It does not have a common ratio of 4. It has a common ratio of 1/4.

#B

Check ratio

Common ratio=r=4

#C

Common ratio=r=4

Option B and C are correct

Answer:

JKBUKKJHKK

Step-by-step explanation:

GYHBGKJHUJUGJ

Answer:

The answer would be 19inches, 50 inches.

i dont knw if its right or not,

but i hope this helps u.

Step-by-step explanation:

Answer: 3392

Step-by-step explanation:

Here they are looking for the previous years freshman class. In order to get that we need 100% of this years class plus 24%. So multiply this years class by 1.24 to get the answer.

The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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The correct answer is option  A: The random variable is discrete. A decibel is a unit of measure used to quantify the loudness or intensity of sound.

From 0 dB (the quietest level of sound) to 140 dB (the loudest level of sound), it is measured on a logarithmic scale (the highest level of sound).

The decibel level of a siren is normally between 110 and 120 dB, which is regarded to be within or close to the threshold of human hearing.

The decibel level of a siren is measured on a logarithmic scale, making it a discrete variable. This indicates that it is measured in whole numbers rather than fractions of a decibel.

For instance, a siren's decibel level can be 110 dB, 111 dB, 112 dB, etc., but it cannot be 110.5 dB or 111.5 dB. Therefore, the decibel level of a siren is a discrete variable.

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Using the given digits only once , the four 2 digit prime numbers are 23 , 41 , 59 , 67  and the the sum of the 4 prime numbers is 190 .

Prime Numbers can be defined as numbers that is greater than 1 and whose only factors are 1 and itself .

For Example : 2 is prime number , 11 is a prime number .

In the question ,

9 digits are given as 1, 2, 3, 4, 5, 6, 7, and 9  

we have to form 4 two - digit prime numbers , using each digit only once ,

So , the prime numbers using the given digits using the digits only once is

(i) 23

(ii) 41

(iii) 59

(iv) 67

and the sum of the 4 prime numbers is = 23 + 41 + 59 + 67

= 190

Therefore , the 4 prime numbers are 23 , 41 , 59 , 67 and their sum is 190 .

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Answer:

yeah so it is 74882828 it is pretty easy

Value of expression 1 + 1 = 2

Addition is the process of adding two or more items together. In math, addition is the method of calculating the sum of two or more numbers.

Given expression,

1 + 1

+ is sign of Addition, Adding the numbers,

1 + 1 = 2

Hence, 2 is the value of expression 1 + 1.

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Total 504 three digit numbers can be formed if no digit appear twice

What is Permutation?

The term permutation refers to a mathematical computation of the number of possible arrangements of a given collection. Simply said, a permutation is a term that defines the amount of different ways something may be organised or arranged. The order of the arrangement is important in permutations.

Solution:

Total Numer of Digits = 9

Number of Characters in the number = 3

Total Numbers = 9P3 = 9! / 6!

9P3 = 504

Total 504 three digit numbers can be formed

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Answer:

\(\angle C \cong \angle A\)

Step-by-step explanation:

Opposite angles of a parallelogram are congruent.

Answer:

please see answer below

Step-by-step explanation:

6² + 8² = 36 + 64 = 100 = 10²

we could make the angle C as big or as small as we want to, but if AB is going to remain a length of 10, then C is 90°.

To interpret the magnitude of the coefficient in a regression analysis, we need to consider its sign and size.

The magnitude of the coefficient indicates the degree of change in the dependent variable for a one-unit change in the independent variable. A larger coefficient means a greater change in the dependent variable, indicating a stronger relationship between the two variables. The magnitude of the regression coefficient can be compared to the units of the independent and dependent variables to gain a better understanding of the practical significance of the relationship.

To test the statistical significance of the coefficient at a specific significance level , we would need to conduct a hypothesis test. The null hypothesis would be that the true slope of the population line is zero , and the alternative hypothesis would be that the true slope is not zero. We would then use the t-test statistic to calculate the p-value and compare it to the chosen level of significance (e.g., 0.05 or 0.01). If the p-value is less than the chosen level of significance, we would reject the null hypothesis and conclude that there is evidence of a statistically significant linear relationship between weight and height.

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The angle β, given the terminal point(sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

To determine the angle β given the terminal point on a unit circle, we can use the trigonometric functions sine and cosine.

The terminal point of β is (sqrt(2)/2, sqrt(2)/2). Let's denote the angle β as the angle formed between the positive x-axis and the line connecting the origin to the terminal point.

The x-coordinate of the terminal point is cos(β), and the y-coordinate is sin(β). Since the terminal point issqrt(2)/2, sqrt(2)/2). we have:

cos(β) = sqrt(2)/2

cos(β) = sqrt(2)/2

We can recognize that sqrt(2)/2 is the value of the cosine and sine functions at π/4 (45 degrees) on the unit circle. In other words, β is equal to π/4 radians or 45 degrees.

So, β = π/4 or β = 45 degrees.

In summary, the angle β, given the terminal point (sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

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Answer:

the answer is B

Step-by-step explanation:

b

Answer:

B on edge

Step-by-step explanation:

Answer:

x>33

Step-by-step explanation:

x-24>9

-24 moves to the other side and becomes positive

x>9+24

x>33

There are 225 prime-looking numbers less than 1000. To determine this, we need to find composite numbers that are not divisible by 2, 3, or 5.

We know that there are 168 prime numbers less than 1000. To find the prime-looking numbers, we can subtract the number of prime numbers from the total number of composite numbers less than 1000.

There are a total of 999 - 168 = 831 composite numbers less than 1000.

Next, we need to remove the composite numbers that are divisible by 2, 3, or 5.

Out of the 831 composite numbers, we can identify those divisible by 2, 3, or 5 by checking their last digit. If the last digit is 0, 2, 4, 5, 6, or 8, the number is divisible by 2 or 5. If the sum of its digits is divisible by 3, the number is divisible by 3. By removing these numbers, we can find prime-looking numbers.

After performing these calculations, we find that there are 225 prime-looking numbers less than 1000.

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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The answer is 64.  To find the number of homozygous dominant individuals in the population.

We need to use the Hardy-Weinberg equation:

p^2 + 2pq + q^2 = 1

Where:
p = frequency of dominant allele
q = frequency of recessive allele

Since the dominant allele frequency is 0.8, we can assume that the recessive allele frequency is 0.2 (since p + q = 1).

To find the frequency of homozygous dominant individuals (p^2), we simply square the frequency of the dominant allele:

p^2 = (0.8)^2 = 0.64

To find the number of homozygous dominant individuals, we multiply the frequency by the total population size:

0.64 x 100 = 64

Therefore, there are 64 homozygous dominant individuals in the population.

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Answer:

X = 6

Step-by-step explanation:

150 - 3x = 120 + 2x

150 = 120 + 5x

30 = 5x

6 = x

x = 6

The solution to the equation is x = 6.

To solve this equation 150 - x - 2x = 120 +2x , we need to isolate the variable x.

To simplify the equation ;

Distribute the negative sign to the terms inside the parentheses:

150 - x - 2x = 120 + 2x

150 - 3x = 120 + 2x

Combine like terms on both sides of the equation:

-3x - 2x = 120 - 150

-5x = -30

Divide both sides of the equation by -5 to solve for x:

-5x / -5 = -30 / -5

x = 6

Therefore, the solution to the equation is x = 6.

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Answer:

Step-by-step explanation:

10 to  the power of -1 = 0.1

10 to the power of -2 = 0.01

0.01 as a fraction =

1/10000

because

10 = 1/10  or 10/100

1= 1/100

0.1 = 1/1000

0.01 - 1/10000

Answer:

1/100

Step-by-step explanation:

10^2 is 100 so 10^-2 would be 0.01 or 1/100

The closest to the probability that a person's favorite sport is 28%.

Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.

From the question, the number of required outcome is 18 and the number of possible outcomes is 25.

So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)

probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]

probability of the event that a person's favorite sport is not basketball = 7/25

probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]

probability of the event that a person's favorite sport is not basketball = 38%

Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.

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Answer:

4/7

Step-by-step explanation:

Answer:

4/7 ounces of butter makes a pound of jello

Step-by-step explanation:

7 times 4 is 28, so 4/28 ounces of butter for 7/28 pounds of jello. so 4/28 times 4 is 16/28. 16/28 is our answer, then simplified is 4/7. Thats how we get our answer.