During a sale, a store offered a 20% discount on a stereo system that originally sold for $720. After the sale, the discounted price of the stereo system was marked up by 20%. What was the price of the stereo system after the markup? Round to the nearest cent.

Answer:

0.875

Step-by-step explanation:

Answer:

the answer is 10% if it is simple interest you're talking about.

Answer:

59

29.33

Step-by-step explanation:

Recall SOH CAH TOA

SOH= Sinα=opposite/hypotonouse

CAH= cosα=adjacent/hypotonouse

TOA= tanα=opposite/adjacent

To find angle C we'll use TOA

which means we take the lenght opposite to d and adjacent to d

which means we have

tand=10/6

d=tan⁻1(10/6)

d=59

to find length z let's use SOH CAH TOA again (for the practice)

This time let's use angle z and SOH

which means we have

sin(64.5)=z/32.5

Solve for z

32.5sin(64.5)=z

z=29.33

*note*  if you use a²+b² for number two you get a sligthly different answer. This is because when they rounded when they wrote 64.5**

Answer:

Base = 10

height = 6

Area = 1/2

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:

Answer: the first option

Step-by-step explanation: if you dont want to spend more than 65 $ it is less than or equal to 65

Antivirus software can use techniques called Heuristic analysis to detect malware by analyzing the characteristics and behavior of suspicious files

Heuristic analysis, which is similar to signature analysis, which looks for certain strings to identify potential risks, seeks unique instructions or commands that are not often encountered in antivirus software.

By finding unidentified viruses and offering defense against recently developing malware that hasn't been included in virus definition files yet, antivirus heuristic analysis helps software manufacturers and their clients remain ahead of the competition.

Heuristic antivirus software uses a range of scanning techniques, such as file emulation, file analysis, and genetic signature identification.

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Answer:

Step-by-step explanation:

apples=$2 per pound

oranges=$3 per pound

If Ben bought x pounds of oranges and five pounds of fruit in total, then he bought 5-x pounds of apples.

oranges price: 3x

apples price: 2(5-x)

Final Equation: 3x+2(5-x)=12

3x+10-2x=12

x+10=12

x=2 -> amount of oranges

input in apples equation

apples= (5-x)->(5-2)=3

Final answer: 2 pounds of oranges, 3 pounds of apples

Answer:

d = 3h - 6

Step-by-step explanation:

Answer:

C) 2 × 3 × 5

Step-by-step explanation:

Volume of a cuboid = lbh = 30 cm³

A) 1 × 1 × 5 = 5 cm³ ≠ 30 cm³

B) 5 × 10 × 15 = 750 cm³ ≠ 30 cm³

C) 2 × 3 × 5 = 30 cm³ ✔

D) 1 × 2.5 × 4 = 10 cm³ ≠ 30 cm³

=》The correct option is C) 2 × 3 × 5 as it makes 30 cm³, which is the required volume.

Hope it helps ⚜

1 x 1 x 5 = 5cm3
5 x 10 x 15 = 750cm3
2 x 3 x 5 = 30 cm3
1 x 2.5 x 4 = 10 cm3

So, the answer is C

Answer:

w=9/8

Step-by-step explanation:

i searched it up XD

The calculation shows that I tutored for 13.5 hours in both cases

From the tapes, we can see that the ratio of the number of hours  tutored is 3:1

Total ratio = 4

Number of hours tutored = 3/4 * 18

Number of hours tutored = 13.5hours

This shows that I tutored for 13.5 hours

6) From the tapes, we can see that the ratio of the number of hours  tutored is 2:6

Total ratio = 8

Number of hours tutored = 6/8 * 18

Number of hours tutored = 13.5hours

This shows that I tutored for 13.5 hours

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The initial 50 miles distance from the lighthouse and the N 30° W and N 40° W bearing of the ship before and after traveling due east, using the law of sines, indicates.

The law of sines states that in a triangle, the ratio of the length of a side to the sine of the angle opposite that side is the same for each of the three sides of the triangle.

The distance of the ship from the lighthouse = 50 miles

Bearing of the lighthouse from the ship = N 30° W

The direction in which the ship travels = due east

The new bearing to the lighthouse = N 40° W

In the triangle formed by the initial and new locations of the ship and the lighthouse, the interior angles, A, B, C are;

m∠A = 30° + 90° = 120°

m∠B = 90° - 40° = 50°

Therefore; m∠C = 180° - (120° + 50°) = 10°

Angle opposite the initial distance of the ship from the lighthouse = ∠B = 50°

The angle opposite the new distance of the ship from the lighthouse = m∠A = 120°

The law of sines indicate that we have;

\(\dfrac{50}{sin(50^{\circ})} = \dfrac{New \, distance}{sin(120^{\circ})}\)

50 × sin(120°) = The new distance of the lighthouse × sin(50°)

The new distance of the lighthouse = 50 × sin(120°)/(sin(50°)) ≈ 56.53

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Answer:

The answer is 195mile

Step by step explanation:

We've

to solve this we need to draw a triangle

then we need to find the distance traveled by each after 3 hours

S(1) = t × V(1) = 3 × 52 = 156 mile

S(2) = t × V(2)= 3× 39 = 117 mile

the distance between them is our z

S(1) = x

S(2) = y

using the Pythagorean Theorem

z = √x^2 + y^2 = √(156)^2 + (117)^2 = √ 13689+24336 = √38025 = 195 mile

Answer:

Step-by-step explanation:

it means that her friend ate 37 cookies from the 561 cookies that kayla had before she ate them

Answer:

it means That Kayla is about to catch a body

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

Given:

high ways :  

cities: \(1000 \times \frac{3}{5}= 200 \times 3= 600\ miles\\\\\)

To find:

total cost=?

Solution:

Calculating all the gallons:

\(\to \frac{400}{48}+ \frac{600}{55} \\\\\to \frac{22000+28800 }{2640} \\\\\to \frac{50800 }{2640} \\\\\to \$ 19.2424 \ gallons \\\\\)

Calculating the total cost:  

\(\to \$19.2424 \times 2,454 \\\\\to \$47220.8496 \approx \$47.22\)

Therefore, the final answer is "\(\$47.22\)".

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The scenario where a restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.

What is sampling bias?

Sampling bias occurs when some members of a population are systematically more likely than others to be chosen for a sample. In the medical world, this is known as ascertainment bias. Because it threatens external validity, specifically population validity, sampling bias reduces the generalizability of findings.

Sampling bias occurs when some people in a community being surveyed are purposefully placed to be chosen or not chosen over others. If a sample process consistently favors some results over others, it is said to be biased. Ascertainment bias particularly in biological areas)/ and systematic bias are other terms for sampling bias. Bias can be intentional, but it is frequently unintentional.

Hence, the scenario where a restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.

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Answer:

12 degrees

Step-by-step explanation:

Total angle in a circle = 360 degrees

If a circle is divided into 30 equal parts

measure of each part = Total angle in a circle/Total parts

measure of each part  = 360/30

measure of each part  = 12 degrees

Hence the measure of each part is 12 degrees

Answer:

Step-by-step explanation:

y-intercept = 2, 3, 5, or 7

2+3+5+7 = 17

The order of T is 82.

Let n and e be the order and number of edges of T respectively.

Also, let a, b, c and d be the number of vertices of degree 2, 3, 4 and 5 respectively.

Then, 50+a+b+c+d = n

And by the Handshake Lemma,  the sum of the degrees of all the vertices of T is twice the number of edges, so we have

50+2a+3b+4c+5d = 2e

Since a=b=c=d then we have the following two equations,

50+4a = n

50+14a = 2e

But, T is a tree so e=n=1, then the two equations become,

50+4a = n ...............(1)

50+14a = 2(n-1) .............(2)

Solving for a in (1) we get,

a = \(\frac{n-50}{4}\)

Plugging a into (2) we get,

50+14(\(\frac{n-50}{4}\)) = 2(n-1)

50+3.5n-175 = 2n-2

3.5n-2n = 175-50-2

1.5n = 123

n = \(\frac{123}{1.5}\) = 82

Therefore, the order of T is 82.

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Answer:

you cant seetge graph

Step-by-step explanation:

take a better pic

Answer:

Sorry but there is not enough information here for me to answer. Please repost and make sure you put the table/graph in the question!

Answer:

For a it's 1, for b, it's 9

Step-by-step explanation:

1 is equal to 7/7. 9/1 is equal to 9.

Hope this helps! If it does, please mark me brainliest. Thank you! ;)

The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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Answer: The distance left after 25 days is 1280 miles

Step-by-step explanation:

To calculate the distance, we use the formula:

\(s=\dfrac{d}{t}\)

where,

s = speed of the bicycle = 80 miles/day

t = time taken = 25 days

d = distance travelled = ? miles

Putting values in above equation, we get:

\(\text{d}=(80 \ \text{miles}/\text{day} \times 25 \ \text{days})=2000 \ \text{miles}\)

Total distance to the destination = 3280 miles

Distance traveled in 25 days = 2000 miles

Distance left after 25 days = [3280 - 2000] = 1280 miles

Hence, the distance left after 25 days is 1280 miles

Answer:

28

Step-by-step explanation:

since b is NEGATIVE 6, you are really just taking 6 away from 34.

So, 34-6

Hope this helped!

The utility functions in options a, b, c, and f are not risk-averse on the interval [a,b], while the utility functions in options d and e are risk-averse on the interval [a,b].

In economics and finance, risk aversion refers to a preference for less risky options over riskier ones. Utility functions are mathematical representations of an individual's preferences, and they help determine whether someone is risk-averse, risk-neutral, or risk-seeking. A risk-averse individual would have a concave utility function, indicating a decreasing marginal utility of wealth.

For options a, b, c, and f, the utility functions are and f(x) = -ln(x), g(x) = \(-e^(^-^x^)\), h(x) = \(-4x^2\) - 10x, respectively. These utility functions do not exhibit concavity, which means they are not risk-averse. Instead, they either show risk-seeking behavior (options a and b) or risk-neutrality (options c and f).

On the other hand, options d and e have utility functions f(x) = ln(x), g(x) = 1/(e^(2x)), h(x) = \(-x^2\) + 10,000x and f(x) = ln(-2x), g(x) = -1/(\(e^(^2^x^)\)), h(x) = \(x^2\) - 100,000x, respectively. These utility functions display concavity, indicating a decreasing marginal utility of wealth. Thus, options d and e can be considered risk-averse on the interval [a,b].

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Answer:

R= (-9, -10) S=(-1,-10) T=(-1, -8) U=(-9, -8)

Step-by-step explanation:

There isn't really an explanation it's just reading the points on the graph. Hope this helps!! :)