Which is the percentage in "27 is 15%of 180"

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The original price of the bracelet, before tax $0.68

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

Amount = $0.72

Sales tax = 6%

Using the above as a guide, we have the following:

Amount = Original amount * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

0.72 = Original amount * (1.06)

So, we have

Original amount = 0.68

Hence, the original amount = 0.68

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To find the value of t, we used logarithms to isolate the exponential term and then divided by the logarithm of the base to solve for t. The result is approximately 8.297.

To solve the equation 900,000 = 650,000 * (1.04)^t for t, we need to isolate the exponential term and take the logarithm of both sides.

Let's go through the steps:

Start with the equation: 900,000 = 650,000 * (1.04)^t

Divide both sides of the equation by 650,000 to isolate the exponential term:

900,000 / 650,000 = (1.04)^t

Simplify the left side of the equation:

1.384615385 = (1.04)^t

Take the logarithm (base 10 or natural logarithm) of both sides. Let's use the natural logarithm (ln):

ln(1.384615385) = ln((1.04)^t)

Apply the logarithmic property: ln(a^b) = b * ln(a)

ln(1.384615385) = t * ln(1.04)

Calculate the natural logarithm of 1.384615385 using a calculator:

ln(1.384615385) ≈ 0.3239

Substitute the value of ln(1.384615385) back into the equation:

0.3239 = t * ln(1.04)

Divide both sides of the equation by ln(1.04) to solve for t:

t = 0.3239 / ln(1.04)

Calculate the natural logarithm of 1.04 using a calculator:

ln(1.04) ≈ 0.0392

Substitute the value of ln(1.04) back into the equation:

t = 0.3239 / 0.0392

Divide 0.3239 by 0.0392 using a calculator:

t ≈ 8.297

Therefore, the value of t is approximately 8.297.

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Answer:

2.94

Step-by-step explanation:

3.29 - 35/100 = 2.94

Answer:

SSS

Step-by-step explanation:

Same Sides Subtract

The congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS

The SSS Congruence Theorem is a theorem that proves that if one triangle has three sides that are congruent to the three corresponding sides of a another triangle, both triangles are congruent.

Thus, ΔBDA and ΔBDC both have three pairs of congruent corresponding sides, namely:

Therefore, the congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS

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The number of seconds that will pass before the planes are at the same altitude is 52 seconds.

The altitude when they're at the same altitude is 3666 feet.

An altitude simply means a vertical measure from a particular reference point such as the sea level on Earth.

Let the number of seconds be represented by s

Plane A is at an altitude of 2613 feet and is gaining altitude at 20.25 feet per second. This will be represented as 2613 + 20.25s

Plane B is just taking off and is gaining altitude at 70.5. This will be 70.5s

Equate both equations

2613 + 20.25s = 70.5s

Collect like terms

70.5s - 20.25s = 2613

50.25s = 2613

Divide

s = 2613 / 50.25

s = 52

Number of seconds = 52 seconds

The altitude at this point will be:

= 70.5s

= 70.5 × 52

= 3666 feet

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The place where the company should place the tower should be the circumcenter of the area.

The circumcenter denotes the precise point where the perpendicular bisectors of each triangle's sides intersect.

To ascertain the circumcenter, a systematic procedure is followed. First, the company must draw straight lines connecting the respective centers of the towns, effectively forming the triangular shape. Subsequently, the midpoints of each triangle's sides are determined by measuring and dividing the length of each line segment by two.

These midpoints serve as vital reference points in the subsequent steps. By extending lines perpendicular to the sides at their respective midpoints, the perpendicular bisectors are established. These bisectors intersect at a singular point, which signifies the circumcenter and serves as the optimal placement for the cell tower.

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Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

Irrational

Step-by-step explanation:

Answer:

Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).

Step-by-step explanation:

Hope this helps - Good luck ^w

Answer:

There are no possible real values for x.

Step-by-step explanation:

The equation states:

4-x²>10

-x²>10-4 (Move 4 to the other side)

-x²>6 (Multiplying by -1 changes the sign)

x²<-6

In the case that we aren't working with imaginary numbers, no number squared would give -6, or anything below -6.

Hope this helps, and let me know if imaginary numbers are necessary for this question ♡

Answer:

29

Step-by-step explanation:

:)

Hey there!

Given:

\(\frac{33}{99}\)

First, we can simplify it by dividing the numerator and denominator by \(33\):

\(\frac{1}{3}\)

And, using common knowledge, we know that \(\frac{1}{3}\) as a decimal is \(0.333...\)

Have a great day!

Answer:33/9 is equal to 3 2/3.

Step-by-step explanation:

I hope this helped<3

Answer:

3*3*3-1*1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3x3=9

1x2=2

so 9-2=7

The effective price paid by the company after taking account of hedging would be $63.50, which is the August futures price on July 1. Calculate the profit or loss on the futures contracts and subtract that from the spot price on July 1, to determine the effective.

By entering into futures contracts on March 1, the company was able to lock in the price of $59 for the commodity, when the spot price was $60 and the futures price was $59, the difference between the futures price and the spot price on March 1 was $1 ($60 - $59), so the company had to pay an extra $1 per unit to hedge its purchase.

When the spot price increased to $64 on July 1, the company was still able to purchase the commodity at the lower hedged price of $59, plus the cost of the futures contract, which resulted in an effective price of $63.50. Overall, hedging helped the company mitigate the risk of price volatility and ensured a more predictable cost for the commodity purchase.

Effective price = Spot price - Profit from futures contracts

Effective price = $64 - $0.50(The difference between the futures price and the spot price on July 1 was $0.50 ($64 - $63.50))

Effective price = $63.50 per unit

Therefore, the effective price paid by the company after taking into account hedging was $63.50 per unit.

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Answer:

(-40 -2i)

Step-by-step explanation:

-10i + -40 + 8i

Combine like terms

-40 + -10i + 8i

-40 -2i

Answer:

The answer is 6. It is the lowest number that 2 and 3 can go into without leaving a remainder.

Answer:

WE ARE GONNA DIE

Step-by-step explanation:

BECAUSE BIDEN IS THE PRESIDENT AND DONALD TRUMP IS NOT. >.< I DONT LIKE BIDEN!!!!

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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it's gain because 10,500 is bigger than 10,000

a lotStep-by-step explanation:

Answer:

2,240

Step-by-step explanation:

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

FV = 2,251.02

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240

plz mark me brainliest

Answer:

\(x=360\)

Step-by-step explanation:

The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,

\(m<MON = MN\\\)

Substitute,

\(x=2\pi\)

However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,

\(degree=\frac{\pi}{180}radians\)

Substitute,

\(degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\\)

Simplify,

\(degree=\frac{180*(2\pi)}{\pi}\\degree=360\)

Answer:

x = 45°

Step-by-step explanation:

Given arc length = 2π cm

         Radius, r = 8 cm

      \(Arc \ Length = 2 \pi r (\frac{x}{360})\)

             \(2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ\)

Answer: The answer Is conic

Step-by-step explanation:

Step-by-step explanation:

write true if the statement is correct if not write False

Explanation

Given the function

We can find the value of p when f(-2 )=10 below;

Therefore, we will have;

Answer: p = -3

Answer: 678900 to the 10 power

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

The truck can hold up to 22 boxes.

Answer:C

Step-by-step explanation:

Answer:

\(base = 18 m\\\\altura= 12 m\)

Step-by-step explanation:

Disclaimer: My Spanish is not great so I used a translation tool. Please let me know if it is understandable. I think the equations are understandable.

Area = 216 m²

Sea base = b m y altura = h m

\(Area = bh\)

So

\(bh = 216\)

base = 6 m mayor que la altura
\(b = h + 6\)

Así que sustituyendo b en la fórmula bh = 216 da
\(b h = 216\)

⇒   \((h + 6)h = 216\)

⇒    \(h^2 + 6h = 216\)

⇒   \(h^2 + 6h - 216 = 0\)  [1]

Esta es una ecuación cuadrática que se puede resolver usando fórmulas cuadráticas o factorizando. Aquí se nos pide que utilicemos la fórmula general

Para una ecuación cuadrática general de la forma
\(ax^2 + bx + c = 0\)

hay dos soluciones dadas por la fórmula cuadrática

\(x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)

En este problema, comparando  \(ax^2 + bx + c = 0\)  a \(h^2 + 6h - 216 = 0\) :

\(a = 1\\b = 6\\c = -216\\\)

Reemplaza estos valores en las fórmulas cuadráticas y resuelve para h

\(h = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)

\(h = \dfrac{ -6 \pm \sqrt{6^2 - 4(1)(-216)}}{ 2(1) }\)

\(h = \dfrac{ -6 \pm \sqrt{36 - -864}}{ 2 }\)

\(h = \dfrac{ -6 \pm \sqrt{900}}{ 2 }\)
\(h = \dfrac{ -6 \pm 30\, }{ 2 }\)

\(h = \dfrac{ 24 }{ 2 } \; \; \; h = -\dfrac{ 36 }{ 2 }\)

que se convierte

\(h = 12\)

\(h = -18\)

Como no podemos tener altura negativa, la solución es
\(h = 12\) m

Desde b = h + 6,
\(b = 12 + 6 = 18 m\)

To express $\frac{n}{1260}$ as a terminating decimal, we need the prime factorization of $1260$ to contain only 2's and 5's. This is because any prime factorization that includes a prime other than 2 or 5 will result in a repeating decimal.

The prime factorization of $1260$ is $2^2 \cdot 3 \cdot 5 \cdot 7$. We can divide $1260$ by 25 to obtain the prime factorization $2^2 \cdot 5^2 \cdot 7$, which does not include any primes other than 2 and 5.

Therefore, the smallest positive integer $n$ such that $\frac{n}{1260}$ can be expressed as a terminating decimal is $n = 25$.

Your integer can be written in a variety of ways. For instance, you might express your integer in written form (such as 63), extended form (such as 100+50+2, which would be 152) or standard form (such as one thousand two hundred thirteen)

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The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y ≥ $1350

Let x represent the number of model A bikes produced and y represent the number of model B bikes produced.

Since A local bicycle shop makes $75 on each  Model A bike and $90 on each Model B bike, hence:

Revenue = 75x + 90y

The overhead cost is $1350, hence to make profit:

Revenue ≥ cost

75x + 90y ≥ $1350

The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y ≥ $1350

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The required mean, variance, and standard deviation of the test data are 62.6, 408.416, and 20.2, respectively.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Mean:

The mean (also known as the average) is found by adding up all the values in the dataset and dividing by the number of values.

(22 + 99 + 102 + 33 + 57 + 75 + 100 + 81 + 62 + 29) / 10 = 660 / 10 = 66

So, the mean of the test data is 62.6.

Variance:

The variance measures how spread out the values in the dataset is from the mean. It is calculated as follows:

variance  = (1/n) × ∑(x - mean)²,

variance = (1/10) * ( (22 - 66)² + (99 - 66)² + (102 - 66)² + (33 - 66)² + (57 - 66)² + (75 - 66)² + (100 - 66)² + (81 - 66)² + (62 - 66)^² + (29 - 66)²)

variance = 833.8

So, the variance of the test data is 408.416.

Standard deviation:

The standard deviation is the square root of the variance and gives us a more interpretable measure of dispersion.

standard deviation = √(variance) = √(833.8) = 28.8

So, the standard deviation of the test data is 28.8.

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