How many years would it take a 6000$ loan at 5% to earn 12000$ in interest?

The function is f(x) = 15x + 25 and you would have 6 services if you were charged $25

We know that the hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services, therefore:

Let x = number of services, then we can obtain the function as:

f(x) = 15x + 25 (function)

when we further solve the function, we get the answer for how many services one would have if we were charged $25,

f(x) = 15x + 25

115 = 15x + 25

90 = 15x

6 = x

Now, we know that the function is f(x) = 15x + 25 and you would have 6 services if you were charged $25

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Answer:

.25%

Step-by-step explanation:

Answer: 2.5%

Step-by-step explanation:So, we see that 1,200,000 is the 100%. Now, 30,000 will be a precentage of that 100%. So, convert 30,000/1,200,000 to a percent of 2.5%. (this may not be exact but i think it is right)

Answer: x=1 ==> D

Step-by-step explanation:

Lets say y=180-43x

Hence, 2y=272x+2

y=180-43x

2y=360-86x

360-86x=272x+2

360=272x+88

272x=272

x=1 ==> D

Answer:

Scatterplot.

Step-by-step explanation:

Scatterplots help in analyzing the relationship between two continuous variables

A stack of 35 cups would have a height of 30 units.

To determine the height of a stack of 35 cups using the equation S(n) = 0.5n + 12.5, we can substitute n = 35 into the equation and evaluate the function.

Given that S(n) represents the height of the stack and n represents the number of cups in the stack, we want to find S(35), which represents the height of the stack when there are 35 cups.

Substituting n = 35 into the equation S(n) = 0.5n + 12.5, we have:

S(35) = 0.5(35) + 12.5

Now we can perform the calculations:

S(35) = 17.5 + 12.5

S(35) = 30

Therefore, a stack of 35 cups would have a height of 30 units.

In the given equation S(n) = 0.5n + 12.5, the term 0.5n represents the contribution to the stack's height from the cups themselves, and 12.5 represents a constant height added to account for the base or any other additional height.

By substituting n = 35 into the equation, we calculate the height of the stack when there are 35 cups. In this case, the height is determined to be 30 units.

Understanding and utilizing function notation allows us to express mathematical relationships and evaluate them for specific values. It provides a concise and standardized way of representing mathematical functions and their corresponding outputs.

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Answer:

B

Step-by-step explanation:

It touches the y-axis (one y - intercept)

It also touches the x-axis( one x-intercept)

-Chetan K

Answer:

Step-by-step explanation:

for y=1

and -14 because it keeps decresing by 14 hope it helped you brainiest plz and thank you!!!!!!!!!

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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Answer:

1. 4

2. 2

3. 35

4. 96

Step-by-step explanation:

1. (6-2)÷4=4

2. 18÷(2+7)=2

3. (11-4)×5= 35

4.(4+2+6)×8= 96

Answer:

1. 1

2. 2

3. 35

4. 96

Answer:

2300 liters of water.

Step-by-step explanation:

The volume of the barrel is 4.6 m^3, and we know that this is half--filled with water.

Then the total volume of water inside the barrel is:

(4.6 m^3)/2 = 2.3 m^3

So we have 2.3 m^3 of water, and we want to write this in liters.

We know that 1 liter = 0.001 m^3

then:

1 = (1 L)/(0.001 m^3)

Now we can rewrite:

2.3 m^3 = (2.3 m^3)*1 = (2.3 m^3)* (1 L)/(0.001 m^3) = (2.3 m^3/0.001 m^3)* 1L

2.3 m^3 = 2300 L

So we have 2300 liters of water in the barrel.

The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

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Answer:

18 degrees heres youre answer!

Step-by-step explanation:

If Angle 1 is x, and Angle 2 is 9x (because one angle is 9 times as large as the other), then x + 9x = 180. Add like terms: 10x = 180. solve for x by dividing both sides by 10. Therefore, x = 18 degrees = smaller angle.

The number of sticks of cotton candy Team B needs to sell to reach their goal is 125.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell popcorn at the Spring Fling Carnival,

and Team B wants to sell cotton candy.

It costs $15 to rent a popcorn machine,

whereas it costs $25 to rent a cotton candy maker.

The cost of additional supplies for the popcorn is $0.05 per bag,

and the additional cost for the cotton candy is $0.10 per stick.

Team A will sell the bags of popcorn for $0.75 each.

Team B will sell the cotton candy for $0.80 per stick.

The number of sticks of cotton candy Team B needs to sell to reach their goal is,

= 100/0.80

= 125

Therefore, the required number is 125.

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Answer:

2/10 = 1/5

Step-by-step explanation:

It landed five 2 times and you rolled it 10 times

The probability of exactly one taxpayer being audited is 0.1425, the probability of more than one being audited is 0.0075, and the probability of more than one being audited is 0.007625.

a. The probability that a taxpayer with income less than $100,000 will be audited is 0.05. The probability that a taxpayer with an income of $100,000 or more will be audited is 0.10.

Based on the given information, we are provided with the probabilities of being audited for taxpayers with different income levels. The probability of being audited for a taxpayer with income less than $100,000 is 0.05. This means that out of every 100 taxpayers in this income range, approximately 5 will be audited.

Similarly, the probability of being audited for a taxpayer with an income of $100,000 or more is 0.10. So, out of every 100 taxpayers in this income range, approximately 10 will be audited.

b. If three taxpayers with incomes under $100,000 are randomly selected, the probability of exactly one being audited is 0.1425. The probability of more than one being audited is 0.0075.

To calculate these probabilities, we use the binomial probability formula. For exactly one taxpayer being audited, we have three possible scenarios (selecting the audited taxpayer) out of a total of eight possible outcomes (selecting any three taxpayers). Therefore, the probability is calculated as 3/8 = 0.375. However, since we are asked for the probability of exactly one being audited, we need to multiply this by the probability of not being audited for the other two taxpayers, which is (1-0.05)^2 = 0.9025. Thus, the final probability is 0.375 * 0.9025 = 0.1425.

For more than one taxpayer being audited, we consider the scenarios where two taxpayers are audited and all three taxpayers are audited. The probability of two being audited is calculated as (3 choose 2) * (0.05)^2 * (1-0.05) = 0.0075. The probability of all three being audited is (0.05)^3 = 0.000125. Summing these probabilities gives us 0.0075 + 0.000125 = 0.007625.

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Given :

Jake has $100 in his wallet.

He spends $15 at Subway and $10 at Starbucks.

Jake finds a $20 bill on the ground.

Brandon comes along and borrows $40 from Jake.

Jake earning through chores is $35.

To Find :

How much does Jake end up with at the end of the day.

Solution :

We know, total money at the end of day is given by :

\(\text{T =Money already have + Money earned - Money spend}\)

\(T = 100+( 20+35) - ( 15+10+40)\\\\T=\$90\)

Therefore, money Jake have at the end is $90.

Hence, this is the required solution.

If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should  record for Year 2 is: $1,000.

Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the  Amortization expense using this formula

Amortization expense = New overhead lighting fixtures / 2 years

Let plug in the formula

Amortization expense =  $2,000 /2

Amortization expense = $1,000

Therefore the  Amortization expense  is the amount of $1,000.

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The complete question:

On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?

The unit of analysis that supposed to use when researcher describes the age, race, and gender distributions for people who are charged with shoplifting is called individuals.

The entity that frames what is being investigated in a study, or the entity being studied as a whole is known as the unit of analysis. At the macro level of social science study, the state is the most frequently used analytical unit that is regarded as a society. Groups, organizations, and institutions are frequent observational units at the meso level, while individuals are the unit of observation at the micro level.

The individual unit of analysis could be either a human or an animal. A group might be made up of a single person or a number of people who communicate with one another. For instance, if we are interested in examining people's shopping behaviors, their learning outcomes, or their views about new technology, then the individual is the unit of analysis that we should use.

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what are the functions.

I cant solve the question without knowing the functions.

The indefinite integral of 9sec²(x)tan(x) dx is 9tan²(x)/2 + C, where C is the constant of integration.

The indefinite integral of 9sec²(x)tan(x) dx can be found using the substitution method.

Let u = tan(x), then du/dx = sec²(x)dx.

Rearranging to get like terms on one side, we have dx = du/sec²(x).

Substituting these values in the given integral, we get

∫9sec²(x)tan(x) dx = ∫9u du

Integrating the equation obtained above, we get

= 9(u²/2) + C

= 9tan²(x)/2 + C

Therefore, the antiderivative of 9sec²(x)tan(x) dx is equal to 9tan²(x)/2 + C, where C is the constant of integration, obtained using the substitution u=tan(x).

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Answer:

Step-by-step explanation:

Sara will win a medal if she keeps practicing gymnastics.

Answer:

2+0.15x=3.20

Step-by-step explanation:

So you have the original or starting point $2 which b in y=Mx+b then it’s 0.15 per day but you don’t know how many days so you use x and she owed a total of 3.20

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

1. Kris

2. Katie

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

Answer:

228

Step-by-step explanation:

sum of the first n term = (n/2) [ 2a +(n-1)d]

sum of the first 36 terms =(36/2)[ 2×0+ (36-1)6]

= 228

Answer:

The spinner will land on letter A 20 times

Step-by-step explanation:

The remaining part of the question is attached

Solution

The probability of landing on letter A is 2/8 = 1/4

Now the spin is made 80 times.

Hence, the number of times the spinner will land on letter A is

1/4 * 80 = 20

The consumption bundle that will not be the consumer's choice, given the assumptions of choosing the optimal bundle, is option B) 30 snacks and 12 meals. To determine the optimal consumption bundle, we need to consider the consumer's budget constraint and maximize their utility.

Given that the price of snacks is $4 and the price of meals is $10, and the consumer has $240 remaining on their meal card, we can calculate the maximum number of snacks and meals that can be purchased within the budget constraint.

For option A) 5 snacks and 20 meals, the total cost would be $4 × 5 + $10 × 20 = $200. Since the consumer has $240 remaining, this bundle is feasible.

For option B) 30 snacks and 12 meals, the total cost would be $4 × 30 + $10 × 12 = $240. This bundle is on budget constraint, but it may not be the optimal choice since the consumer could potentially consume more meals for the same cost.

For option C) 20 snacks and 16 meals, the total cost would be $4 × 20 + $10 × 16 = $240. This bundle is also on budget constraint.

Since options A, C, and D are all feasible within the budget constraint, the only bundle that will not be the consumer's choice is option B) 30 snacks and 12 meals. The consumer could achieve a higher level of utility by reallocating some snacks to meals while staying within the budget constraint. Therefore, the correct answer is option B.

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Answer: F

Step-by-step explanation:

We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.

Also, its modulus is the distance from the origin, which in this case is \(\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16\)

The answer that best matches this is F

Leslie still owes $1264 to the furniture store.

To find out how much more Leslie still owes to the furniture store, we need to calculate the remaining balance after subtracting the amount she has already paid.

The total cost of the sofa and loveseat set is $1470. The cost of delivery is $100, and the tax is $103. Therefore, the total amount due is:

$1470 + $100 + $103 = $1673

Leslie has already paid $409, so the remaining balance can be found by subtracting the amount paid from the total amount due:

$1673 - $409 = $1264

Therefore, Leslie still owes $1264 to the furniture store.

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