Please help me! (Simple interest) I'm bad with this stuff!

Please select the word from the list that best fits the definition:

The amount of money charged for borrowing or using money, or the amount of money earned by saving money.

A. interest
B. percent
C. percent of change
D. percent of decrease
E. percent of increase
F. principle
G. simple interest
H. rate ratio

The percentage of calories that comes from saturated fat in each serving of these crackers is 0.4%

To calculate the percentage of calories that come from saturated fat, we need to first determine how many calories come from saturated fat in one serving of crackers.

We know that each serving of crackers provides 120 calories, and 0.5 grams of saturated fat. We can convert the amount of saturated fat from grams to calories by multiplying it by 9 (since 1 gram of fat provides 9 calories).

0.5 grams of saturated fat x 9 calories per gram = 4.5 calories from saturated fat

Therefore, out of the 120 total calories in one serving of crackers, 4.5 calories come from saturated fat.

To find the percentage of calories that come from saturated fat, we can divide the number of calories from saturated fat by the total number of calories in one serving of crackers, and then multiply by 100.

(4.5 calories from saturated fat / 120 total calories) x 100 = 0.0375 x 100 = 0.4%

Therefore, each serving of crackers provides 0.4% of calories from saturated fat.

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Mean = 0.8

Standard deviation = 2.45

It can be conclude that the probability of selecting more than 30% Beatles songs out of 40 randomly chosen songs is improbable, with only 0.42% of possible outcomes satisfying the condition.

We have, The proportion of the population that belongs to Beatles songs is p = 0.27.

The number of songs played by Paul is n = 40.

Since the value of n is greater than 30, then we can use the normal approximation to the binomial distribution.

The mean of the binomial distribution is

μ = np

⇒ 40 * 0.27 ⇒ 10.8.

The standard deviation of the binomial distribution is

σ = √(npq)

= √(40 * 0.27 * 0.73)

= 2.45.

The probability that more than 30% of the 40 randomly selected songs are Beatles songs, we need to calculate P(X > 0.3n) where X is the number of Beatles songs in the sample.

We use the normal distribution to make the approximation:

z = (0.3n - μ)/σ

= (0.3 * 40 - 10.8)/2.45 ⇒ 2.63.

The probability of getting a z-score of 2.63 or greater is equal to 0.0042.

Hence, the probability that more than 30% of the 40 randomly selected songs are Beatles songs is 0.0042.

Therefore, the conclusion is that the probability of more than 30% of the 40 randomly selected songs being Beatles songs is very low, with only 0.42% of the possible outcomes meeting that condition.

The mean is 10.8 and the standard deviation is 2.45

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Answer:

question 12 is answer B

question 13 is -8x^3

Step-by-step explanation:

exponent rule \(\frac{a^m}{a^n} = a^(^m^-^n^)\)

In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

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Answer:

49 kilometers

Step-by-step explanation:

Since he cycles 1 km for each trip, he will have cycled 21 km after 21 trips.

Add this to his existing amount of km:

28 + 21

= 49

So, he will have cycled a total of 49 kilometers

Given:

The given statement is "6 less than the difference of 5 and a number".

To find:

The variable expression for the given statement.

Solution:

Let n be the unknown number or the variable.

We know that minus sign is used to represent the difference between two numbers.

Difference of 5 and a number is \((5-n)\).

6 less than the difference of 5 and a number is \((5-n)-6\).

The required expression for the given statement is \((5-n)-6\).

Therefore, the correct option is C.

Answer:

20 month

Step-by-step explanation:

The unknown here is the number of month required for plans A and B to be the same.
Let x be that month.

for both plans to be equal

19.25x + 200 = 26.75x + 50

19.25x-26.75x = 50-200

-7.5x = -150

x = 20

Answer:

I don't really understand this question

But if it's asking you to switch,

1. r = 2.5

2. r = 12

3. d = 34

The equation of the new graph is given as g of x = 5(7*)

The graph is given in this function  = 7^x

This graph is said to be  by a factor of 5.

We have to get a new equation g of x

g of x is given as 5 x 7*

Then we have

g of X = 5(7*)

Hence we have to conclude that the new equation for this graph is given as g of X = 5(7*)

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Using the information provided, it appears that your neighbor will not save money by picking up the soil himself as its total cost is $103.86 as opposed to cost of delivery $30.

Here is a detailed breakdown of the calculations and assumptions made:

The area of the yard is estimated to be around 7,200 sq.ft. Assuming a 4 inch layer of topsoil, this requires 4 cubic yards (1 cubic yard = 27 cubic feet).

The cost of the soil delivery is $30 per truckload (up to 18 cubic yards). So the delivery cost for 4 cubic yards of soil would be $30.

The cost of topsoil per cubic yard is $18. Thus, the total cost of the topsoil is $72.

The weight of topsoil is 2000 pounds per cubic yard, so the total weight of the soil is 8,000 pounds (4 cubic yards x 2000 pounds).

The pickup truck's payload capacity is 1800 pounds, so the truck can only transport 1/4 of the total weight of the soil (1800/8000 = 0.225). Thus, it would require 4 trips to transport the soil, and the total trip distance is 36 miles (9 miles x 4 trips).

The truck gets 17 miles per gallon, so it would require 2.1 gallons of gas for each trip (36 miles/17 mpg = 2.12). The total amount of gas needed for the 4 trips is 8.4 gallons (2.1 gallons x 4 trips). The cost of gas per gallon is assumed to be $3.79, so the total cost of gas for the 4 trips is $31.86.

Thus, the total cost of picking up the soil himself is $31.86 + $72 = $103.86. This is higher than the cost of delivery which is only $30, so it would be better to pay for delivery.

To conclude, your neighbor will not save money by picking up the soil himself, and it is recommended that he pays for delivery.

Note: The question is incomplete. The complete question probably is: He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for:

Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.

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The given statement is true. We have proved that for every n ∈ A we have n² = 3.

Given, A = {n ∈ Z+ | 1/(n + 1) ∈ Z}

We need to prove or disprove: For every n ∈ A we have n² = 3.

Since n ∈ A, 1/(n+1) ∈ Z ...(1)

Let's try to solve it using contradiction method.

Let's assume that there exists n ∈ A such that n² ≠ 3. In other words, n² - 3 ≠ 0 ...(2)

Using (1), we get:

1/(n+1) = p ∈ Z

So, n+1 = 1/p ...(3)

Squaring both sides of (3), we get:

(n+1)² = (1/p)²

⇒ n² + 2n + 1 = 1/p²

Adding -3 to both sides, we get:

n² - 3 + 2n + 1 = 1/p² ...(4)

Since n ∈ A, we know that 1/(n+1) ∈ Z.

Let's represent it using k, i.e. 1/(n+1) = k.

From (3), we have n+1 = 1/k.

Hence, we can write the above equation as:

n² - 3 + 2(1/k - 1) = 1/k²

⇒ k²n² - 3k² + 2k² - 2k²(k² - 3) = 0

⇒ n² - 3 + 2(1/k - 1) = 1/k² is the required equation.

Let's assume that n² ≠ 3.

Hence, using (2), we get n² - 3 ≠ 0.

Adding it to the above equation, we get:

(n² - 3) + 2(1/k - 1) + n² - 3 - 1/k² ≠ 0

⇒ 2n² - 3 + 2(1/k - 1) - 1/k² ≠ 0

Now, let's consider the LHS of the above equation as a function of k, say f(k) = 2n² - 3 + 2(1/k - 1) - 1/k²

Differentiating it with respect to k, we get:

f'(k) = -2/k³ + 2/k² ... (5)

Clearly, f'(k) > 0 for all k. This implies that f(k) is an increasing function of k.

Let's consider two cases now.

Case 1: k = 1

Since k = 1, we have n + 1 = 1/k = 1, i.e. n = 0. But 0 is not a positive integer.

Hence, we arrive at a contradiction.

Thus, n² = 3.

Case 2: k > 1

Since k > 1, we have 1/k < 1, i.e. 1/k - 1 < 0.

Also, we know that n > 0. This implies that f(k) < f(1).

Hence, we arrive at a contradiction. Thus, n² = 3.

Hence, we have proved that for every n ∈ A we have n² = 3. Therefore, the given statement is true.

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Answer: The first answer choice

AKA: y = -1.74x + 46.6

Step-by-step explanation:

Answer:

Im dumb

Step-by-step explanation:

I can't help

The regular price for the cell phone is $210

From the information given, the cell phone is on sale at $35 more than half of the regular price and the sale price is $140.

Let the regular price be represented as x.

This will be illustrated as:

1/2x + 35 = 140

0.5x + 35 = 140

Collect like terms

0.5x = 140 - 35

0.5x = 105

Divide

x = 105 / 0.5

x = 210

The regular price is $210.

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Answer:

6 how do you not know this?

Step-by-step explanation:

8 = 1

16 = 2

24 = 3

32 = 4

40 = 5

48 = 6

maths. the more you know

The conditions for inference has been not met the sample wasn't chosen using a random method.

Sample mean , μ = 11.50

Total people estimated, x = 41

Mean sale increases by 10 per day

z = x - μ / σ

z = 41 -11.5/10

z = 2.95

Necessary condition for inference is

Three necessary conditions must be met to do inference are -

The randomness of the sample,

The distribution should approximate the normal distribution

The samples taken and their observations need to be independent of each other.

Selection cannot be selected randomly because specific group of people are selected

Hence, No, the sample was not chosen using a random method.

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The question is incomplete the complete question is :

question a local convenience store in a large city closes each day at 10 p.m. the owner of the store is investigating whether mean sales will increase by at least $10 per day if the store remains open until 11 p.m. the owner asked the 41 members of a local civic group to estimate the amount of money they might spend during the extra hour. the sample mean was $11.50. the owner will conduct a one-sample t -test for a population mean.

Have the conditions for inference been met?

A. Yes, all conditions have been met.

B. No, the sample was not chosen using a random method.

C. No, the sample size is greater than 10 percent of the population.

D. No, the sample size is not large enough to assume normality of the sampling distribution.

E. No, the distribution of the sample is not normal.

The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.

It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.

Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.

As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.

The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.

While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.

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We can assume that the pole and the tree are vertical, which means that their shadows are parallel. In other words, we have two parallel lines (the pole's shadow and the tree's shadow) intersected by a transversal (the sun's rays). we need to use the concept of similar triangles.

To solve this problem, we can use proportions. We know that the length of the pole is 3 feet and its shadow is 2 feet long. Let's call the height of the tree "x" (in feet) and its shadow "18".

We can set up the proportion:

3/2 = x/18

To solve for x, we can cross-multiply:

3 x 18 = 2 x

54 = 2x

x = 27

Therefore, the tree is 27 feet tall.

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We establish the given binomial expression (x + y)^4 in the following way

The nth power of the sum of two integers a and b may be represented as the sum of n + 1 terms of the form, according to the binomial theorem, which states that for every positive integer n.

A polynomial with just terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct words. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic statement that comprises a constant, exponents, a variable, and a coefficient.

(x+y) 4=

((x+y)2) 2=

(x2+2xy+y2) 2=

(x2+2xy) 2+2(x2+2xy) (y2)+(y2) 2=

(x4+4x3y+4x2y2)+(2x2y2+4xy3)+(y4)=

x4+4x3y+6x2y2+4xy3+y4

The binomal theorem is a more comprehensive strategy:

(x+y)

n=∑k=0n(nk)

⋅xn−k⋅yk=∑k=0n(nk)

⋅xk⋅yn−k\sWhere\s(nk)=n!((n−k)!)⋅(k!)

n!={1n⋅((n−1)!)

n=0n>0

∑k=0nf(k)=f(0)+f(1)+f(2)+…+f(n)

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Length = 1000x

Length= x km

Length = (x)1000

This is because however many kilometers there are, your multiplying it by 1000 since each kilometer is equal to 1000 miles.

1000x is your final answer

1 km = 1000 meter

Heart or brainliest :)

In a normal distribution, x = -5 and z = -3.14 means that x = -5 is 3.14 standard deviations to the left of the mean

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

Distribution = Normal

z = -3.14

z = -5

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, a z-score of -3.14 indicates that the value is 3.14 standard deviations below the mean.

Since x is given as -5, we know that this value is 3.14 standard deviations below the mean value, which can be determined by multiplying the standard deviation by the z-score.

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For a standard normal distribution, the probability of having a z-score less than -0.58 is approximately 0.2807. This can be found by looking up the area under the standard normal curve to the left of -0.58 using a z-table or a calculator. Rounding this to 4 decimal places gives the answer of 0.2807.

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Answer:

\( = \frac{ {4x}^{2} {y}^{4} \sqrt{5z} }{5z} \)

Step-by-step explanation:

\( \sqrt{ \frac{16x {}^{4} y {}^{8} }{5z} } \\ = \sqrt{ \frac{16 {x}^{4} y {}^{8} }{ \sqrt{5z \\ } } } \\ = \frac{4 {x}^{2}y {}^{4} }{ \sqrt{5z} } \\ = \frac{ {4x}^{2} y {}^{4} \sqrt{5z} }{5z} \)

The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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Answer:

A is ur answer

Answer:

x+23=127exterior angle of the triangle is equal to the sum of two interior angle

x=127-23=104

Using the slope concept, it is found that the ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

Hence:

tan(11º) = 139/d

d = 139/tan(11º)

d = 715.09.

The ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.

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Answer:

Step-by-step explanation:

A) 12x² y⁵z = 2² * 3 * x² * y⁵ * z

150x⁶y⁵z    = 5² * 2 * 3 * x⁶ * y⁵ * z

66y⁹z   =   2 * 3 * 11 * y⁹ * z

GCF =  2 * 3 * y⁵ * z = 6y⁵z

B) 4x² - 40x + 100 = (2x)² - 2 * 2x * 10 + 10²

                             = (2x - 10)²

C) 81x² - 64 = (9x)² - 8²             {a² - b² = (a + b)(a - b)}

                   = (9x + 8)(9x - 8)

D) (a + b)² = a²+ 2ab + b²

E) a² - b² = (a + b)(a - b)

Answer:

Simplifying 4x2y + 12xy2 + 9y3 Reorder the terms: 12xy2 + 4x2y + 9y3 Factor out the Greatest Common Factor (GCF), 'y'. y(12xy + 4x2 + 9y2) Factor a trinomial.

Step-by-step explanation:

Subtracting Perfect Squares · (a+b)(a-b)=a2-b · Example · 4x2-9= · Subtracting Perfect Cubes · a3-b3=(a-b)( · Adding Perfect Cubes · x3+27=(x+3)(x2-3x+9).

The equation for the polynomial graphed is:

y = (x + 1)*(x + 1)*(x - 1)*(x - 2)

Remember that for a polynomial whose zeros are at the values (x₁, x₂, ...) and the leading coefficient is a, the equation will be:

f(x) = a*(x - x₁)*(x - x₂)*...

Here we can see that the leading coefficient is a = 1, and we can see that the zeros of the function are at:

x = -1   (with a multiplicity of 2, because it is a vertex)

x = 1

x = 2

Then the zeros are {-1, -1, 1, 2}

And the polynomial is:

y = (x + 1)*(x + 1)*(x - 1)*(x - 2)

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