Marcus bought a plant that originally cost $40. All plants were discounted 35%. What did Marcus pay for the plant after the discount

The distance, relative to mile marker 45, to the nearest mile when passing mile marker 112 on a straight highway is 67 miles.

When you pass mile marker 112 on a perfectly straight highway between marker 45 and marker 112, the distance covered is 112 - 45 = 67 miles. This means that you have traveled a total of 67 miles from mile marker 45 to mile marker 112.

To determine the distance relative to mile marker 45, we consider the distance remaining from mile marker 112.

Since you have passed mile marker 112, the remaining distance to cover until you reach the nearest mile relative to marker 45 is the difference between 112 and the nearest mile greater than 112.

Let's assume the nearest mile greater than 112 is 113.

Therefore, the remaining distance is 113 - 112 = 1 mile.

In conclusion, when passing mile marker 112 on the straight highway, the distance relative to mile marker 45 to the nearest mile is 67 miles.

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Answer:

1/4 of a pound.

Step-by-step explanation:

4/4 of a pound (1 pound) - 3/4 (used anchovies) = 1/4 of a pound left

Answer:y = 14/13x+6/13

Step-by-step explanation:

Answer:

\( \frac{596}{125} \)

should be it

Answer:

AC and YX are corresponding sides.

AB and YZ are corresponding sides.

BC and ZX are corresponding sides.

Step-by-step explanation:

Hope this helps and have a nice day

The call premium is $4.6051 (Option C).

Given the following information in a two-period Binomial model:

r- 5%, 5-$20, S, - $25. S-$16, Suu- $31.25, Sud-$20-Sdu Sad $12.80 and strike price X - 18, the call premium is $4.6051.

Option pricing formula is used to calculate the call premium.

That formula is, \(C=(p×Cu+(1−p)×Cd)/(1+r)\)

Where, C is the call premium,

Cu is the value of the option if the price of the underlying asset goes up,

Cd is the value of the option if the price of the underlying asset goes down,

r is the risk-free interest rate,

p is the probability of the underlying asset price going up

For the given data:

Suu= $31.25,

Sud= $20,

Sdu= $20,

Sdd= $12.80,

r= 5%, and

X= $18.

We can find p using the following formula.

\(p=(1+r−d)/(u−d)\)

= (1+0.05-0.128)/(0.3125-0.128)= 0.3725

Now, let's calculate Cu and Cd.

Cu = max(Suu - X, 0) = max($31.25 - $18, 0) = $13.25

Cd = max(Sdd - X, 0) = max($12.80 - $18, 0) = $0

Now, let's calculate the call premium using the formula.

\(C=(p×Cu+(1−p)×Cd)/(1+r)\)

=(0.3725×$13.25+(1-0.3725)×$0)/(1+0.05)= $4.6051

Therefore, the call premium is $4.6051 (Option C).

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Answer:

your answer is 80 degree .

because of angle sum propert

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follow me guys

Answer:

Angle ACE=80º

Step-by-step explanation:

Since the angles ACD and ACE are supplementary (meaning they form a straight line or 180º when added up) we know that the sum of those angles is 180º.

If ACD + ACE = 180 and ACD =100

then, 100 + ACE =180 and by subtracting we find that ∠ACE=80º.

Answer:x=-7

Step-by-step explanation:X equals negative 7

Answer:

It is 9/10 x 3/2= 1 7/20

Step-by-step explanation:

Answer:

508 because you need to add up all the sides

The given sequence \(a_{n}\)  does not converge, but instead diverges to infinity.

In mathematics and analysis, the terms "convergence" and "divergence" are used to describe the behavior of a sequence, which is an ordered list of numbers that are generated according to a certain pattern.

\(\begin{}|a_n| &= \left| \frac{(-1)^{n+1} \cdot n}{n \cdot \sqrt{n}} \right| \\&= \frac{n}{\sqrt{n}} \\\lim_{{n \to \infty}} |a_n| &= \lim_{{n \to \infty}} \frac{n}{\sqrt{n}} \\&= \lim_{{n \to \infty}} \frac{\sqrt{n} \cdot \sqrt{n}}{\sqrt{n}} \\&= \lim_{{n \to \infty}} \sqrt{n}\end{align*}\)

As n approaches infinity, √n also approaches infinity. Therefore, the limit of ∣\(a_{n}\)| as n approaches infinity is also infinity.

Since, the absolute value of the sequence |\(a_{n}\)| approaches infinity as

n approaches infinity, the sequence \(a_{n}\) does not converge, but instead diverges to infinity.

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Correct Question:find whether the sequence converges or diverges \(\begin{}|a_n| &= \left| \frac{(-1)^{n+1} \cdot n}{n \cdot \sqrt{n}} \right| \\&\) ?

The given sequence \(a_{n}\)  does not converge, but instead diverges to infinity.

In mathematics and analysis, the terms "convergence" and "divergence" are used to describe the behavior of a sequence, which is an ordered list of numbers that are generated according to a certain pattern.

\(\begin{}|a_n| &= \left| \frac{(-1)^{n+1} \cdot n}{n \cdot \sqrt{n}} \right| \\&= \frac{n}{\sqrt{n}} \\\lim_{{n \to \infty}} |a_n| &= \lim_{{n \to \infty}} \frac{n}{\sqrt{n}} \\&= \lim_{{n \to \infty}} \frac{\sqrt{n} \cdot \sqrt{n}}{\sqrt{n}} \\&= \lim_{{n \to \infty}} \sqrt{n}\end{align*}\)

As n approaches infinity, √n also approaches infinity. Therefore, the limit of ∣\(a_{n}\)| as n approaches infinity is also infinity.

Since, the absolute value of the sequence |\(a_{n}\)| approaches infinity as

n approaches infinity, the sequence \(a_{n}\) does not converge, but instead diverges to infinity.

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Correct Question:find whether the sequence converges or diverges \(\begin{}|a_n| &= \left| \frac{(-1)^{n+1} \cdot n}{n \cdot \sqrt{n}} \right| \\&\) ?

Answer:

7(y-1)

Step-by-step explanation:

First find the difference ( subtraction) of y and 1

y-1

Then multiply by 7

7(y-1)

Converges; the series is a constant multiple of a geometric series. Option A

The given series can be written as:

\(\sum n=1 to \infty 4^{(n+1)} * 5^{(-n)\)

= \(4 * \sum n=1 to \infty (4/5)^n\)

This is a geometric series with first term a=4 and common ratio r=4/5. The series converges if and only if |r| < 1. Here, |r| = 4/5 < 1, so the series converges.

The sum of a convergent geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

Applying this formula, we get:

sum = 4 / (1 - 4/5) = 4 * 5 = 20

Therefore, the given series converges to 20.

The correct answer is option (a) Converges; the series is a constant multiple of a geometric series.

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Answer:

64/256

Step-by-step explanation:

4*4*4=64/4*4*4*4=256

Answer:

It is 64. Pls mark me as brainliest.

Step-by-step explanation:

You divide.

576÷9=64

576÷9

9÷9=1

64/1

or

64

There both the same.

Answer:

Reduce 576/9 to lowest terms

The simplest form of  

576 /9 is 64/1

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 576 and 9 is 9

Divide both the numerator and denominator by the GCD

576 ÷ 9

9 ÷ 9

Reduced fraction:  

64 /1

Therefore, 576/9 simplified to lowest terms is 64/1.

The student solved 12 problems correctly.

To find out how many problems the student solved correctly, we can use the given information and set up an equation using the terms "correct problems" and "incorrect problems."

Let x represent the number of correct problems and y represent the number of incorrect problems. We know the following:

1. The total number of problems completed is 33, so x + y = 33.
2. The teacher pays 70 cents for correct problems and takes 40 cents for incorrect problems, and neither owes anything to each other. So, 70x - 40y = 0.

Now, we'll solve this system of equations step-by-step:

Step 1: Solve the first equation for x: x = 33 - y.
Step 2: Substitute the expression for x in the second equation: 70(33 - y) - 40y = 0.
Step 3: Simplify and solve for y: 2310 - 70y - 40y = 0 => 2310 - 110y = 0 => y = 21.
Step 4: Substitute the value of y back into the equation for x: x = 33 - 21 => x = 12.

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Answer:

AC = √105 ≈ 10 cm (nearest whole number)

Step-by-step explanation:

Use Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of a right triangle)

Give one of the legs = 4cm and the hypotenuse = 11 cm:

⇒ 4² + AC² = 11²

⇒ 16 + AC² = 121

⇒ AC² = 121 - 16

⇒ AC² = 105

⇒ AC = ±√105

As distance is positive, length of AC = √105 ≈ 10 cm (nearest whole number)

Step-by-step explanation:

AB²=BC²+CA²

(11)²=(4)²+ CA²

121=16 + CA²

121-16= CA²

105=CA²

√105=CA

10.2=CA

hope this helps you

have a good day

Answer: ITS B

Step-by-step explanation:

Answer:

$45.

Step-by-step explanation:

When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.

Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.

Hope this helps!

Duncan is approximately 10.8 kilometers away from his grandparents' house, if necessary, rounding to the nearest tenth.

Based on the given information, we can use the Pythagorean theorem to find the distance between Duncan's house and his grandparents' house. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the distance from Duncan's house to his parents' house (6 km) and the distance from his parents' house to his grandparents' house (9 km) form the two shorter sides of the triangle. To find the distance between Duncan's house and his grandparents' house, we will calculate the hypotenuse:
h² = 6² + 9²
h² = 36 + 81
h² = 117
h ≈ 10.8

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Duncan is approximately 6.7 km from his grandparents' house (rounded to the nearest tenth).

We can use the Pythagorean theorem to find the distance between Duncan's house and his grandparents' house.
Identify the triangle
In this problem, we have a right triangle with legs of 6 km (due north) and an unknown length (due east).

The hypotenuse is the straight-line distance of 9 km from his parents' house to his grandparents' house.
Apply the Pythagorean theorem.
The Pythagorean theorem states that a² + b² = c², where a and b are the legs of the triangle, and c is the hypotenuse. In this case, a = 6 km, b = unknown, and c = 9 km.
Solve for the unknown distance (b)
6² + b² = 9²
36 + b² = 81
b² = 81 - 36
b² = 45
b = √45
b ≈ 6.7 km.

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Answer:

n = 7/2

Step-by-step explanation:

We are given the equation:-

\( \displaystyle \large{8 \times \sqrt{2} = {2}^{n} }\)

To solve an exponential equation, first, we convert the whole equation with same base.

Let our main base is 2 for whole equation, the following number must be:-

From √2 = 2^(1/2) comes from:-

\( \displaystyle \large{ {a}^{ \frac{m}{ n } } = \sqrt[n]{ {a}^{m} } }\)

\( \displaystyle \large{ {2}^{ \frac{1}{ 2 } } = \sqrt{2} }\)

Rewrite the equation with base 2.

\( \displaystyle \large{ {2}^{3} \times {2}^{ \frac{1}{2} } = {2}^{n} }\)

Recall the law of exponent:-

\( \displaystyle \large{ {a}^{m} \times {a}^{n} = {a}^{m + n} }\)

Therefore:-

\( \displaystyle \large{ {2}^{3 + \frac{1}{2} } = {2}^{n} } \\ \displaystyle \large{ {2}^{ \frac{6}{2} + \frac{1}{2} } = {2}^{n} } \\ \displaystyle \large{ {2}^{ \frac{7}{2} } = {2}^{n} }\)

Compare the exponent and thus:-

n = 7/2.

After answering the provided question, we can conclude that This is the equation in slope-intercept form.

The slope-intercept form of a linear equation in mathematics is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point at which the line meets the y-axis. The slope-intercept form is a handy approach to represent a line's equation because it allows you to quickly see the line and determine its slope and y-intercept. The slope indicates how steep the line is, while the y-intercept indicates where the line intersects the y-axis.

Based on the information provided, we can conclude that the pontoon boat rental fee is $25 per hour.

A one-time cleaning fee is charged, which is not mentioned in the problem. As a result, we cannot draw any conclusions about this fee.

Friends of the Williams family rented the same boat for 6 1/2 hours, which is equivalent to 6.5 hours.

Their friends paid the rental and cleaning fee of $237.50.

We can use the point-slope formula to find the equation in slope-intercept form: y - y1 = m(x - x1), where m is the slope, (x1, y1) is a point on the line, and y is the total cost of renting the boat.

x1 = 6.5

y1 = 237.50

y - 237.50 = 25(x - 6.5)

y = 25x - 112.50

This is the equation in slope-intercept form.

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Answer:

(3x)⁰÷5‐²

1 ​÷5‐²

5² ​ ​

25

Answer:

1) Translated left 3 down 3

2) (1,-1)

Step-by-step explanation:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:

⠀\(\frac{2}{3x}-\frac{1}{9x}+5=20\).

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find:

⠀The value of the variable \(x\) in the above example.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, azzaric!

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Decision:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀The value of the variable \(x\) in the above example is equal to \(\frac{1}{27}\).

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

Answer:

You're giving points because you have some to spare and have no need of them anymore. You're done with everything and there's no point to having... points (wow me, great job). So you're going to brighten somebody else's day by donating some of your points.

Step-by-step explanation:

Geez I'm in a down mood sorry

Answer:

Because you are a kind person with more than you need. That is one reason out of many.

Step-by-step explanation:

Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation: